37.983 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.471 * * * [progress]: [2/2] Setting up program. 0.475 * [progress]: [Phase 2 of 3] Improving. 0.475 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.515 * * [simplify]: iteration 0 : 4987 enodes (cost 16 ) 0.515 * * [simplify]: iteration 1 : 4987 enodes (cost 16 ) 0.516 * [simplify]: Simplified to: (* 1.0 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) 0.523 * * [progress]: iteration 1 / 4 0.523 * * * [progress]: picking best candidate 0.529 * * * * [pick]: Picked # 0.529 * * * [progress]: localizing error 0.542 * * * [progress]: generating rewritten candidates 0.542 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 2) 0.545 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.554 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.564 * * * [progress]: generating series expansions 0.564 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 2) 0.564 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.564 * [taylor]: Taking taylor expansion of (* n PI) in n 0.564 * [taylor]: Taking taylor expansion of n in n 0.564 * [taylor]: Taking taylor expansion of PI in n 0.564 * [taylor]: Taking taylor expansion of (* n PI) in n 0.564 * [taylor]: Taking taylor expansion of n in n 0.564 * [taylor]: Taking taylor expansion of PI in n 0.565 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.565 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.565 * [taylor]: Taking taylor expansion of PI in n 0.565 * [taylor]: Taking taylor expansion of n in n 0.565 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.565 * [taylor]: Taking taylor expansion of PI in n 0.565 * [taylor]: Taking taylor expansion of n in n 0.566 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.566 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.566 * [taylor]: Taking taylor expansion of -1 in n 0.566 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.566 * [taylor]: Taking taylor expansion of PI in n 0.566 * [taylor]: Taking taylor expansion of n in n 0.566 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.566 * [taylor]: Taking taylor expansion of -1 in n 0.566 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.566 * [taylor]: Taking taylor expansion of PI in n 0.566 * [taylor]: Taking taylor expansion of n in n 0.567 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.567 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.567 * [taylor]: Taking taylor expansion of 0.5 in k 0.567 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.567 * [taylor]: Taking taylor expansion of 1.0 in k 0.567 * [taylor]: Taking taylor expansion of k in k 0.567 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.567 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.567 * [taylor]: Taking taylor expansion of 2.0 in k 0.567 * [taylor]: Taking taylor expansion of (* n PI) in k 0.567 * [taylor]: Taking taylor expansion of n in k 0.567 * [taylor]: Taking taylor expansion of PI in k 0.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.567 * [taylor]: Taking taylor expansion of 0.5 in n 0.567 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.567 * [taylor]: Taking taylor expansion of 1.0 in n 0.567 * [taylor]: Taking taylor expansion of k in n 0.567 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.567 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.567 * [taylor]: Taking taylor expansion of 2.0 in n 0.567 * [taylor]: Taking taylor expansion of (* n PI) in n 0.567 * [taylor]: Taking taylor expansion of n in n 0.567 * [taylor]: Taking taylor expansion of PI in n 0.568 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.568 * [taylor]: Taking taylor expansion of 0.5 in n 0.568 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.568 * [taylor]: Taking taylor expansion of 1.0 in n 0.568 * [taylor]: Taking taylor expansion of k in n 0.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.568 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.568 * [taylor]: Taking taylor expansion of 2.0 in n 0.568 * [taylor]: Taking taylor expansion of (* n PI) in n 0.568 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of PI in n 0.568 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.568 * [taylor]: Taking taylor expansion of 0.5 in k 0.568 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.568 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.568 * [taylor]: Taking taylor expansion of 1.0 in k 0.568 * [taylor]: Taking taylor expansion of k in k 0.568 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.568 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.568 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.568 * [taylor]: Taking taylor expansion of 2.0 in k 0.568 * [taylor]: Taking taylor expansion of PI in k 0.569 * [taylor]: Taking taylor expansion of (log n) in k 0.569 * [taylor]: Taking taylor expansion of n in k 0.569 * [taylor]: Taking taylor expansion of 0 in k 0.571 * [taylor]: Taking taylor expansion of 0 in k 0.573 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.573 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.573 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.573 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.573 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.573 * [taylor]: Taking taylor expansion of 0.5 in k 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.573 * [taylor]: Taking taylor expansion of 1.0 in k 0.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.573 * [taylor]: Taking taylor expansion of k in k 0.573 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.573 * [taylor]: Taking taylor expansion of 2.0 in k 0.573 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.573 * [taylor]: Taking taylor expansion of PI in k 0.573 * [taylor]: Taking taylor expansion of n in k 0.573 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.573 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.573 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.573 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.573 * [taylor]: Taking taylor expansion of 0.5 in n 0.573 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.573 * [taylor]: Taking taylor expansion of 1.0 in n 0.573 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.573 * [taylor]: Taking taylor expansion of k in n 0.573 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.574 * [taylor]: Taking taylor expansion of 2.0 in n 0.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.574 * [taylor]: Taking taylor expansion of PI in n 0.574 * [taylor]: Taking taylor expansion of n in n 0.574 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.574 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.574 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.574 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.574 * [taylor]: Taking taylor expansion of 0.5 in n 0.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.574 * [taylor]: Taking taylor expansion of 1.0 in n 0.574 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.574 * [taylor]: Taking taylor expansion of k in n 0.574 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.574 * [taylor]: Taking taylor expansion of 2.0 in n 0.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.574 * [taylor]: Taking taylor expansion of PI in n 0.574 * [taylor]: Taking taylor expansion of n in n 0.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.575 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.575 * [taylor]: Taking taylor expansion of 0.5 in k 0.575 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.575 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.575 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.575 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.575 * [taylor]: Taking taylor expansion of 2.0 in k 0.575 * [taylor]: Taking taylor expansion of PI in k 0.575 * [taylor]: Taking taylor expansion of (log n) in k 0.575 * [taylor]: Taking taylor expansion of n in k 0.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.575 * [taylor]: Taking taylor expansion of 1.0 in k 0.575 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.575 * [taylor]: Taking taylor expansion of k in k 0.576 * [taylor]: Taking taylor expansion of 0 in k 0.576 * [taylor]: Taking taylor expansion of 0 in k 0.577 * [taylor]: Taking taylor expansion of 0 in k 0.578 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.578 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.578 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.578 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.578 * [taylor]: Taking taylor expansion of 0.5 in k 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.578 * [taylor]: Taking taylor expansion of k in k 0.578 * [taylor]: Taking taylor expansion of 1.0 in k 0.578 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.578 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.578 * [taylor]: Taking taylor expansion of -2.0 in k 0.578 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.578 * [taylor]: Taking taylor expansion of PI in k 0.578 * [taylor]: Taking taylor expansion of n in k 0.578 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.578 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.578 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.578 * [taylor]: Taking taylor expansion of 0.5 in n 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.578 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.578 * [taylor]: Taking taylor expansion of k in n 0.578 * [taylor]: Taking taylor expansion of 1.0 in n 0.578 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.578 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.578 * [taylor]: Taking taylor expansion of -2.0 in n 0.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.578 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.579 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.579 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.579 * [taylor]: Taking taylor expansion of 0.5 in n 0.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.579 * [taylor]: Taking taylor expansion of k in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.579 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.579 * [taylor]: Taking taylor expansion of -2.0 in n 0.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.579 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.579 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.579 * [taylor]: Taking taylor expansion of 0.5 in k 0.579 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.580 * [taylor]: Taking taylor expansion of k in k 0.580 * [taylor]: Taking taylor expansion of 1.0 in k 0.580 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.580 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.580 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.580 * [taylor]: Taking taylor expansion of -2.0 in k 0.580 * [taylor]: Taking taylor expansion of PI in k 0.580 * [taylor]: Taking taylor expansion of (log n) in k 0.580 * [taylor]: Taking taylor expansion of n in k 0.581 * [taylor]: Taking taylor expansion of 0 in k 0.581 * [taylor]: Taking taylor expansion of 0 in k 0.582 * [taylor]: Taking taylor expansion of 0 in k 0.582 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.583 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 0.583 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 0.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.583 * [taylor]: Taking taylor expansion of 0.5 in k 0.583 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.583 * [taylor]: Taking taylor expansion of 1.0 in k 0.583 * [taylor]: Taking taylor expansion of k in k 0.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.583 * [taylor]: Taking taylor expansion of 2.0 in k 0.583 * [taylor]: Taking taylor expansion of (* n PI) in k 0.583 * [taylor]: Taking taylor expansion of n in k 0.583 * [taylor]: Taking taylor expansion of PI in k 0.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.583 * [taylor]: Taking taylor expansion of k in k 0.583 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.583 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.583 * [taylor]: Taking taylor expansion of 0.5 in n 0.583 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.583 * [taylor]: Taking taylor expansion of 1.0 in n 0.583 * [taylor]: Taking taylor expansion of k in n 0.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.583 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [taylor]: Taking taylor expansion of (* n PI) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.584 * [taylor]: Taking taylor expansion of k in n 0.584 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.584 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.584 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.584 * [taylor]: Taking taylor expansion of 0.5 in n 0.584 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.584 * [taylor]: Taking taylor expansion of 1.0 in n 0.584 * [taylor]: Taking taylor expansion of k in n 0.584 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.584 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.584 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [taylor]: Taking taylor expansion of (* n PI) in n 0.584 * [taylor]: Taking taylor expansion of n in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.584 * [taylor]: Taking taylor expansion of k in n 0.585 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.585 * [taylor]: Taking taylor expansion of k in k 0.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.585 * [taylor]: Taking taylor expansion of 0.5 in k 0.585 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.585 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.585 * [taylor]: Taking taylor expansion of 1.0 in k 0.585 * [taylor]: Taking taylor expansion of k in k 0.585 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.585 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.585 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.585 * [taylor]: Taking taylor expansion of 2.0 in k 0.585 * [taylor]: Taking taylor expansion of PI in k 0.585 * [taylor]: Taking taylor expansion of (log n) in k 0.585 * [taylor]: Taking taylor expansion of n in k 0.586 * [taylor]: Taking taylor expansion of 0 in k 0.588 * [taylor]: Taking taylor expansion of 0 in k 0.591 * [taylor]: Taking taylor expansion of 0 in k 0.597 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.597 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.598 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.598 * [taylor]: Taking taylor expansion of k in k 0.598 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.598 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.598 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.598 * [taylor]: Taking taylor expansion of 0.5 in k 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.598 * [taylor]: Taking taylor expansion of 1.0 in k 0.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.598 * [taylor]: Taking taylor expansion of k in k 0.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.598 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.598 * [taylor]: Taking taylor expansion of 2.0 in k 0.598 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.598 * [taylor]: Taking taylor expansion of PI in k 0.598 * [taylor]: Taking taylor expansion of n in k 0.598 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.598 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.598 * [taylor]: Taking taylor expansion of k in n 0.598 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.598 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.598 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.598 * [taylor]: Taking taylor expansion of 0.5 in n 0.598 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.598 * [taylor]: Taking taylor expansion of 1.0 in n 0.598 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.598 * [taylor]: Taking taylor expansion of k in n 0.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.598 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.598 * [taylor]: Taking taylor expansion of 2.0 in n 0.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.598 * [taylor]: Taking taylor expansion of PI in n 0.598 * [taylor]: Taking taylor expansion of n in n 0.599 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.599 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.599 * [taylor]: Taking taylor expansion of k in n 0.599 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.599 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.599 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.599 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.599 * [taylor]: Taking taylor expansion of 0.5 in n 0.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.599 * [taylor]: Taking taylor expansion of 1.0 in n 0.599 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.599 * [taylor]: Taking taylor expansion of k in n 0.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.599 * [taylor]: Taking taylor expansion of 2.0 in n 0.599 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.599 * [taylor]: Taking taylor expansion of PI in n 0.599 * [taylor]: Taking taylor expansion of n in n 0.602 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 0.603 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.603 * [taylor]: Taking taylor expansion of k in k 0.603 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.603 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.603 * [taylor]: Taking taylor expansion of 0.5 in k 0.603 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.603 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.603 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.603 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.603 * [taylor]: Taking taylor expansion of 2.0 in k 0.603 * [taylor]: Taking taylor expansion of PI in k 0.603 * [taylor]: Taking taylor expansion of (log n) in k 0.603 * [taylor]: Taking taylor expansion of n in k 0.603 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.603 * [taylor]: Taking taylor expansion of 1.0 in k 0.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.603 * [taylor]: Taking taylor expansion of k in k 0.604 * [taylor]: Taking taylor expansion of 0 in k 0.605 * [taylor]: Taking taylor expansion of 0 in k 0.607 * [taylor]: Taking taylor expansion of 0 in k 0.608 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.608 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.608 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.608 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.608 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.608 * [taylor]: Taking taylor expansion of 0.5 in k 0.608 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.608 * [taylor]: Taking taylor expansion of k in k 0.608 * [taylor]: Taking taylor expansion of 1.0 in k 0.608 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.608 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.608 * [taylor]: Taking taylor expansion of -2.0 in k 0.608 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.608 * [taylor]: Taking taylor expansion of PI in k 0.608 * [taylor]: Taking taylor expansion of n in k 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.609 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.609 * [taylor]: Taking taylor expansion of -1 in k 0.609 * [taylor]: Taking taylor expansion of k in k 0.609 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.609 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.609 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.609 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.609 * [taylor]: Taking taylor expansion of 0.5 in n 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.609 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.609 * [taylor]: Taking taylor expansion of k in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.609 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.609 * [taylor]: Taking taylor expansion of -2.0 in n 0.609 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.609 * [taylor]: Taking taylor expansion of PI in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.609 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.609 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.609 * [taylor]: Taking taylor expansion of -1 in n 0.609 * [taylor]: Taking taylor expansion of k in n 0.610 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.610 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.610 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.610 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.610 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.610 * [taylor]: Taking taylor expansion of 0.5 in n 0.610 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.610 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.610 * [taylor]: Taking taylor expansion of k in n 0.610 * [taylor]: Taking taylor expansion of 1.0 in n 0.610 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.610 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.610 * [taylor]: Taking taylor expansion of -2.0 in n 0.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.610 * [taylor]: Taking taylor expansion of PI in n 0.610 * [taylor]: Taking taylor expansion of n in n 0.610 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.610 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.610 * [taylor]: Taking taylor expansion of -1 in n 0.610 * [taylor]: Taking taylor expansion of k in n 0.611 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.611 * [taylor]: Taking taylor expansion of 0.5 in k 0.611 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.611 * [taylor]: Taking taylor expansion of k in k 0.611 * [taylor]: Taking taylor expansion of 1.0 in k 0.611 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.611 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.611 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.611 * [taylor]: Taking taylor expansion of -2.0 in k 0.611 * [taylor]: Taking taylor expansion of PI in k 0.611 * [taylor]: Taking taylor expansion of (log n) in k 0.611 * [taylor]: Taking taylor expansion of n in k 0.611 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.611 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.611 * [taylor]: Taking taylor expansion of -1 in k 0.611 * [taylor]: Taking taylor expansion of k in k 0.612 * [taylor]: Taking taylor expansion of 0 in k 0.614 * [taylor]: Taking taylor expansion of 0 in k 0.615 * [taylor]: Taking taylor expansion of 0 in k 0.616 * * * [progress]: simplifying candidates 0.618 * [simplify]: Simplifying using # : (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* PI 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 (/ (- 1.0 k) 2.0)) (pow (* PI 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)) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (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))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (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) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 1) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) 1) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* n PI) (* n PI) (* n PI) (- (+ (* 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)))))) (- (+ (* 0.125 (* (pow k 2) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))) (+ (* k (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* (pow k 2) (* (pow NAN 5) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* 0.5 (* k (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3)))) (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) 0.677 * * [simplify]: iteration 0 : 5008 enodes (cost 2183 ) 0.689 * [simplify]: Simplified to: (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt (- 1.0 k))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (+ (sqrt 1.0) (sqrt k))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (exp (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (cbrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2))) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* (* k k) (* (pow (* PI (* 2.0 n)) 0.5) (+ (pow (log (* PI 2.0)) 2) (pow (log n) 2))))) (- (+ (pow (* PI (* 2.0 n)) 0.5) (* (* k k) (* (* (log n) (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5))) 0.25))) (* 0.5 (* k (* (pow (* PI (* 2.0 n)) 0.5) (log (* PI (* 2.0 n)))))))) (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) (+ (* 0.125 (* k (* k (* (pow (* PI (* 2.0 n)) 0.5) (* NAN (pow (log n) 2)))))) (+ (* k (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) (- (+ (* (pow (* PI (* 2.0 n)) 0.5) (+ (* k (* k (pow NAN 5))) NAN)) (* (* k k) (+ (* (* (log (* PI 2.0)) (* (log n) (* (pow (* PI (* 2.0 n)) 0.5) NAN))) 0.25) (* (* (pow (log (* PI 2.0)) 2) (* (pow (* PI (* 2.0 n)) 0.5) NAN)) 0.125)))) (+ (* 0.5 (* k (* NAN (* (pow (* PI (* 2.0 n)) 0.5) (log (* PI (* 2.0 n))))))) (* (* (* (* k k) 0.5) (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) (log (* PI (* 2.0 n)))))))) (+ (* (/ (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) k) NAN) (* (/ (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) (* k k)) (+ (pow NAN 3) (/ (pow NAN 5) k)))) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN) (* (/ NAN k) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))) 0.690 * * * [progress]: adding candidates to table 0.887 * * [progress]: iteration 2 / 4 0.887 * * * [progress]: picking best candidate 0.923 * * * * [pick]: Picked # 0.923 * * * [progress]: localizing error 0.940 * * * [progress]: generating rewritten candidates 0.940 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.945 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 0.950 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.964 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.987 * * * [progress]: generating series expansions 0.987 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.987 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.987 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.987 * [taylor]: Taking taylor expansion of 2.0 in n 0.987 * [taylor]: Taking taylor expansion of (* n PI) in n 0.987 * [taylor]: Taking taylor expansion of n in n 0.987 * [taylor]: Taking taylor expansion of PI in n 0.987 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.987 * [taylor]: Taking taylor expansion of 2.0 in n 0.987 * [taylor]: Taking taylor expansion of (* n PI) in n 0.987 * [taylor]: Taking taylor expansion of n in n 0.987 * [taylor]: Taking taylor expansion of PI in n 0.988 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.988 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.988 * [taylor]: Taking taylor expansion of 2.0 in n 0.988 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.988 * [taylor]: Taking taylor expansion of PI in n 0.988 * [taylor]: Taking taylor expansion of n in n 0.988 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.988 * [taylor]: Taking taylor expansion of 2.0 in n 0.988 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.988 * [taylor]: Taking taylor expansion of PI in n 0.988 * [taylor]: Taking taylor expansion of n in n 0.989 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.989 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.989 * [taylor]: Taking taylor expansion of -2.0 in n 0.989 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.989 * [taylor]: Taking taylor expansion of PI in n 0.989 * [taylor]: Taking taylor expansion of n in n 0.989 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.989 * [taylor]: Taking taylor expansion of -2.0 in n 0.989 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.989 * [taylor]: Taking taylor expansion of PI in n 0.989 * [taylor]: Taking taylor expansion of n in n 0.990 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 0.990 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.990 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.990 * [taylor]: Taking taylor expansion of 2.0 in n 0.990 * [taylor]: Taking taylor expansion of (* n PI) in n 0.990 * [taylor]: Taking taylor expansion of n in n 0.990 * [taylor]: Taking taylor expansion of PI in n 0.990 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.990 * [taylor]: Taking taylor expansion of 2.0 in n 0.990 * [taylor]: Taking taylor expansion of (* n PI) in n 0.990 * [taylor]: Taking taylor expansion of n in n 0.990 * [taylor]: Taking taylor expansion of PI in n 0.991 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.991 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.991 * [taylor]: Taking taylor expansion of 2.0 in n 0.991 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.991 * [taylor]: Taking taylor expansion of PI in n 0.991 * [taylor]: Taking taylor expansion of n in n 0.991 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.991 * [taylor]: Taking taylor expansion of 2.0 in n 0.991 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.991 * [taylor]: Taking taylor expansion of PI in n 0.991 * [taylor]: Taking taylor expansion of n in n 0.992 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.992 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.992 * [taylor]: Taking taylor expansion of -2.0 in n 0.992 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.992 * [taylor]: Taking taylor expansion of PI in n 0.992 * [taylor]: Taking taylor expansion of n in n 0.992 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.992 * [taylor]: Taking taylor expansion of -2.0 in n 0.992 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.992 * [taylor]: Taking taylor expansion of PI in n 0.992 * [taylor]: Taking taylor expansion of n in n 0.993 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.993 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (n k) around 0 0.993 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 0.993 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.993 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.993 * [taylor]: Taking taylor expansion of k in k 0.993 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 0.993 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 0.993 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 0.993 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 0.993 * [taylor]: Taking taylor expansion of 0.5 in k 0.993 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 0.993 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 0.994 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.994 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.994 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.994 * [taylor]: Taking taylor expansion of 1.0 in k 0.994 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.994 * [taylor]: Taking taylor expansion of 2.0 in k 0.994 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 0.994 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.994 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.994 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.994 * [taylor]: Taking taylor expansion of 1.0 in k 0.994 * [taylor]: Taking taylor expansion of (log n) in k 0.994 * [taylor]: Taking taylor expansion of n in k 0.994 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.994 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.994 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.994 * [taylor]: Taking taylor expansion of 1.0 in k 0.994 * [taylor]: Taking taylor expansion of (log PI) in k 0.994 * [taylor]: Taking taylor expansion of PI in k 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 0.999 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 0.999 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 0.999 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 0.999 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 0.999 * [taylor]: Taking taylor expansion of 0.5 in k 0.999 * [taylor]: Taking taylor expansion of k in k 0.999 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.999 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.999 * [taylor]: Taking taylor expansion of 2.0 in k 0.999 * [taylor]: Taking taylor expansion of (* n PI) in k 0.999 * [taylor]: Taking taylor expansion of n in k 0.999 * [taylor]: Taking taylor expansion of PI in k 1.000 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.000 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.000 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.000 * [taylor]: Taking taylor expansion of k in n 1.000 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.000 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.000 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.000 * [taylor]: Taking taylor expansion of 0.5 in n 1.000 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.000 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.000 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.000 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.000 * [taylor]: Taking taylor expansion of 1.0 in n 1.000 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.000 * [taylor]: Taking taylor expansion of 2.0 in n 1.000 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.000 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.000 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.000 * [taylor]: Taking taylor expansion of 1.0 in n 1.000 * [taylor]: Taking taylor expansion of (log n) in n 1.000 * [taylor]: Taking taylor expansion of n in n 1.000 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.000 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.000 * [taylor]: Taking taylor expansion of 1.0 in n 1.000 * [taylor]: Taking taylor expansion of (log PI) in n 1.000 * [taylor]: Taking taylor expansion of PI in n 1.001 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.001 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.001 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.001 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.001 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.001 * [taylor]: Taking taylor expansion of 0.5 in n 1.001 * [taylor]: Taking taylor expansion of k in n 1.001 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.001 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.001 * [taylor]: Taking taylor expansion of 2.0 in n 1.001 * [taylor]: Taking taylor expansion of (* n PI) in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.001 * [taylor]: Taking taylor expansion of PI in n 1.002 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.002 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.002 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.002 * [taylor]: Taking taylor expansion of k in n 1.002 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.002 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.002 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.002 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.002 * [taylor]: Taking taylor expansion of 0.5 in n 1.002 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.002 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.002 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.002 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.002 * [taylor]: Taking taylor expansion of 1.0 in n 1.002 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.002 * [taylor]: Taking taylor expansion of 2.0 in n 1.002 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.002 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.002 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.002 * [taylor]: Taking taylor expansion of 1.0 in n 1.002 * [taylor]: Taking taylor expansion of (log n) in n 1.002 * [taylor]: Taking taylor expansion of n in n 1.002 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.003 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.003 * [taylor]: Taking taylor expansion of 1.0 in n 1.003 * [taylor]: Taking taylor expansion of (log PI) in n 1.003 * [taylor]: Taking taylor expansion of PI in n 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.003 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.003 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.003 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.003 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.003 * [taylor]: Taking taylor expansion of 0.5 in n 1.003 * [taylor]: Taking taylor expansion of k in n 1.003 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.004 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.004 * [taylor]: Taking taylor expansion of 2.0 in n 1.004 * [taylor]: Taking taylor expansion of (* n PI) in n 1.004 * [taylor]: Taking taylor expansion of n in n 1.004 * [taylor]: Taking taylor expansion of PI in n 1.005 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.005 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.005 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.005 * [taylor]: Taking taylor expansion of k in k 1.005 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.005 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.005 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.005 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.005 * [taylor]: Taking taylor expansion of 0.5 in k 1.005 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.005 * [taylor]: Taking taylor expansion of k in k 1.005 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.005 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.005 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.005 * [taylor]: Taking taylor expansion of 2.0 in k 1.005 * [taylor]: Taking taylor expansion of PI in k 1.005 * [taylor]: Taking taylor expansion of (log n) in k 1.005 * [taylor]: Taking taylor expansion of n in k 1.006 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.006 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.006 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.006 * [taylor]: Taking taylor expansion of 0.5 in k 1.006 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.006 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.006 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.006 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.006 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.006 * [taylor]: Taking taylor expansion of 1.0 in k 1.006 * [taylor]: Taking taylor expansion of (log PI) in k 1.006 * [taylor]: Taking taylor expansion of PI in k 1.006 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.006 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.006 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.006 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.006 * [taylor]: Taking taylor expansion of 1.0 in k 1.006 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.006 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.006 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.006 * [taylor]: Taking taylor expansion of 1.0 in k 1.006 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.006 * [taylor]: Taking taylor expansion of (log 1) in k 1.006 * [taylor]: Taking taylor expansion of 1 in k 1.006 * [taylor]: Taking taylor expansion of (log n) in k 1.006 * [taylor]: Taking taylor expansion of n in k 1.006 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.006 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.006 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.006 * [taylor]: Taking taylor expansion of 1.0 in k 1.007 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.007 * [taylor]: Taking taylor expansion of 2.0 in k 1.010 * [taylor]: Taking taylor expansion of 0 in k 1.017 * [taylor]: Taking taylor expansion of 0 in k 1.030 * [taylor]: Taking taylor expansion of 0 in k 1.050 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in (n k) around 0 1.050 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in k 1.050 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.050 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.050 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.050 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.050 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.050 * [taylor]: Taking taylor expansion of 0.5 in k 1.050 * [taylor]: Taking taylor expansion of k in k 1.050 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.050 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.050 * [taylor]: Taking taylor expansion of 2.0 in k 1.050 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.050 * [taylor]: Taking taylor expansion of PI in k 1.050 * [taylor]: Taking taylor expansion of n in k 1.051 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in k 1.051 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.051 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.051 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.051 * [taylor]: Taking taylor expansion of 0.5 in k 1.051 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.051 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.051 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.051 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.051 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.051 * [taylor]: Taking taylor expansion of 1.0 in k 1.051 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.051 * [taylor]: Taking taylor expansion of 2.0 in k 1.051 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.051 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.051 * [taylor]: Taking taylor expansion of 1.0 in k 1.051 * [taylor]: Taking taylor expansion of (log PI) in k 1.051 * [taylor]: Taking taylor expansion of PI in k 1.051 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.051 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.051 * [taylor]: Taking taylor expansion of 1.0 in k 1.051 * [taylor]: Taking taylor expansion of (log n) in k 1.051 * [taylor]: Taking taylor expansion of n in k 1.052 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.052 * [taylor]: Taking taylor expansion of k in k 1.052 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in n 1.052 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.052 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.052 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.052 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.052 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.052 * [taylor]: Taking taylor expansion of 0.5 in n 1.052 * [taylor]: Taking taylor expansion of k in n 1.052 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.052 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.052 * [taylor]: Taking taylor expansion of 2.0 in n 1.052 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.052 * [taylor]: Taking taylor expansion of PI in n 1.052 * [taylor]: Taking taylor expansion of n in n 1.053 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in n 1.053 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.053 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.053 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.053 * [taylor]: Taking taylor expansion of 0.5 in n 1.053 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.053 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.053 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.053 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.053 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.053 * [taylor]: Taking taylor expansion of 1.0 in n 1.053 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.053 * [taylor]: Taking taylor expansion of 2.0 in n 1.053 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.053 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.053 * [taylor]: Taking taylor expansion of 1.0 in n 1.053 * [taylor]: Taking taylor expansion of (log PI) in n 1.053 * [taylor]: Taking taylor expansion of PI in n 1.053 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.053 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.053 * [taylor]: Taking taylor expansion of 1.0 in n 1.053 * [taylor]: Taking taylor expansion of (log n) in n 1.053 * [taylor]: Taking taylor expansion of n in n 1.054 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.054 * [taylor]: Taking taylor expansion of k in n 1.054 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in n 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.054 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.054 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.054 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.054 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.054 * [taylor]: Taking taylor expansion of 0.5 in n 1.054 * [taylor]: Taking taylor expansion of k in n 1.054 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.054 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.054 * [taylor]: Taking taylor expansion of 2.0 in n 1.054 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.054 * [taylor]: Taking taylor expansion of PI in n 1.054 * [taylor]: Taking taylor expansion of n in n 1.055 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in n 1.055 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.055 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.055 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.055 * [taylor]: Taking taylor expansion of 0.5 in n 1.055 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.055 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.055 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.055 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.055 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.055 * [taylor]: Taking taylor expansion of 1.0 in n 1.055 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.055 * [taylor]: Taking taylor expansion of 2.0 in n 1.055 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.055 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.055 * [taylor]: Taking taylor expansion of 1.0 in n 1.055 * [taylor]: Taking taylor expansion of (log PI) in n 1.055 * [taylor]: Taking taylor expansion of PI in n 1.055 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.055 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.055 * [taylor]: Taking taylor expansion of 1.0 in n 1.055 * [taylor]: Taking taylor expansion of (log n) in n 1.055 * [taylor]: Taking taylor expansion of n in n 1.056 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.056 * [taylor]: Taking taylor expansion of k in n 1.057 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.057 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.057 * [taylor]: Taking taylor expansion of k in k 1.057 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.057 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.057 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.057 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.057 * [taylor]: Taking taylor expansion of 0.5 in k 1.057 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.057 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.057 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.057 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.057 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.057 * [taylor]: Taking taylor expansion of 1.0 in k 1.057 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.057 * [taylor]: Taking taylor expansion of 2.0 in k 1.057 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.057 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.057 * [taylor]: Taking taylor expansion of 1.0 in k 1.057 * [taylor]: Taking taylor expansion of (log PI) in k 1.057 * [taylor]: Taking taylor expansion of PI in k 1.057 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.057 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.057 * [taylor]: Taking taylor expansion of 1.0 in k 1.057 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.057 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.057 * [taylor]: Taking taylor expansion of 1.0 in k 1.057 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.057 * [taylor]: Taking taylor expansion of (log 1) in k 1.057 * [taylor]: Taking taylor expansion of 1 in k 1.057 * [taylor]: Taking taylor expansion of (log n) in k 1.057 * [taylor]: Taking taylor expansion of n in k 1.058 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.059 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.059 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.059 * [taylor]: Taking taylor expansion of 0.5 in k 1.059 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.059 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.059 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.059 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.059 * [taylor]: Taking taylor expansion of 2.0 in k 1.059 * [taylor]: Taking taylor expansion of PI in k 1.059 * [taylor]: Taking taylor expansion of (log n) in k 1.059 * [taylor]: Taking taylor expansion of n in k 1.059 * [taylor]: Taking taylor expansion of k in k 1.062 * [taylor]: Taking taylor expansion of 0 in k 1.069 * [taylor]: Taking taylor expansion of 0 in k 1.080 * [taylor]: Taking taylor expansion of 0 in k 1.090 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in (n k) around 0 1.090 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.090 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.090 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.090 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.090 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.090 * [taylor]: Taking taylor expansion of -1 in k 1.090 * [taylor]: Taking taylor expansion of k in k 1.090 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.090 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.090 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.090 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.090 * [taylor]: Taking taylor expansion of -0.5 in k 1.090 * [taylor]: Taking taylor expansion of k in k 1.090 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.090 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.090 * [taylor]: Taking taylor expansion of -2.0 in k 1.090 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.090 * [taylor]: Taking taylor expansion of PI in k 1.090 * [taylor]: Taking taylor expansion of n in k 1.090 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.091 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.091 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.091 * [taylor]: Taking taylor expansion of 0.5 in k 1.091 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.091 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.091 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.091 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.091 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.091 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.091 * [taylor]: Taking taylor expansion of 1.0 in k 1.091 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.091 * [taylor]: Taking taylor expansion of -2.0 in k 1.091 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.091 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.091 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.091 * [taylor]: Taking taylor expansion of 1.0 in k 1.091 * [taylor]: Taking taylor expansion of (log PI) in k 1.091 * [taylor]: Taking taylor expansion of PI in k 1.091 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.091 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.091 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.091 * [taylor]: Taking taylor expansion of 1.0 in k 1.091 * [taylor]: Taking taylor expansion of (log n) in k 1.091 * [taylor]: Taking taylor expansion of n in k 1.092 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.092 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.092 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.092 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.092 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.092 * [taylor]: Taking taylor expansion of -1 in n 1.092 * [taylor]: Taking taylor expansion of k in n 1.092 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.092 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.092 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.092 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.092 * [taylor]: Taking taylor expansion of -0.5 in n 1.092 * [taylor]: Taking taylor expansion of k in n 1.092 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.092 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.092 * [taylor]: Taking taylor expansion of -2.0 in n 1.092 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.092 * [taylor]: Taking taylor expansion of PI in n 1.092 * [taylor]: Taking taylor expansion of n in n 1.093 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.093 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.093 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.093 * [taylor]: Taking taylor expansion of 0.5 in n 1.093 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.093 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.093 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.093 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.093 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.093 * [taylor]: Taking taylor expansion of 1.0 in n 1.093 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.093 * [taylor]: Taking taylor expansion of -2.0 in n 1.093 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.093 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.093 * [taylor]: Taking taylor expansion of 1.0 in n 1.093 * [taylor]: Taking taylor expansion of (log PI) in n 1.093 * [taylor]: Taking taylor expansion of PI in n 1.093 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.093 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.093 * [taylor]: Taking taylor expansion of 1.0 in n 1.093 * [taylor]: Taking taylor expansion of (log n) in n 1.093 * [taylor]: Taking taylor expansion of n in n 1.094 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.094 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.094 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.094 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.094 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.094 * [taylor]: Taking taylor expansion of -1 in n 1.094 * [taylor]: Taking taylor expansion of k in n 1.094 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.094 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.094 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.094 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.094 * [taylor]: Taking taylor expansion of -0.5 in n 1.094 * [taylor]: Taking taylor expansion of k in n 1.094 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.094 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.094 * [taylor]: Taking taylor expansion of -2.0 in n 1.094 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.094 * [taylor]: Taking taylor expansion of PI in n 1.095 * [taylor]: Taking taylor expansion of n in n 1.095 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.095 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.095 * [taylor]: Taking taylor expansion of 0.5 in n 1.095 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.095 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.095 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.095 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.095 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.095 * [taylor]: Taking taylor expansion of 1.0 in n 1.095 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.095 * [taylor]: Taking taylor expansion of -2.0 in n 1.095 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.095 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.095 * [taylor]: Taking taylor expansion of 1.0 in n 1.095 * [taylor]: Taking taylor expansion of (log PI) in n 1.095 * [taylor]: Taking taylor expansion of PI in n 1.095 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.095 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.095 * [taylor]: Taking taylor expansion of 1.0 in n 1.095 * [taylor]: Taking taylor expansion of (log n) in n 1.095 * [taylor]: Taking taylor expansion of n in n 1.097 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.097 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.097 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.097 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.097 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.097 * [taylor]: Taking taylor expansion of -0.5 in k 1.097 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.097 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.097 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.097 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.097 * [taylor]: Taking taylor expansion of -2.0 in k 1.097 * [taylor]: Taking taylor expansion of PI in k 1.097 * [taylor]: Taking taylor expansion of (log n) in k 1.097 * [taylor]: Taking taylor expansion of n in k 1.097 * [taylor]: Taking taylor expansion of k in k 1.097 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.097 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.097 * [taylor]: Taking taylor expansion of -1 in k 1.097 * [taylor]: Taking taylor expansion of k in k 1.098 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.098 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.098 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.098 * [taylor]: Taking taylor expansion of 0.5 in k 1.098 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.098 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.098 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.098 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.098 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.098 * [taylor]: Taking taylor expansion of 1.0 in k 1.098 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.098 * [taylor]: Taking taylor expansion of -2.0 in k 1.098 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.098 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.098 * [taylor]: Taking taylor expansion of 1.0 in k 1.098 * [taylor]: Taking taylor expansion of (log PI) in k 1.098 * [taylor]: Taking taylor expansion of PI in k 1.098 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.098 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.098 * [taylor]: Taking taylor expansion of 1.0 in k 1.098 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.098 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.098 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.098 * [taylor]: Taking taylor expansion of 1.0 in k 1.098 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.098 * [taylor]: Taking taylor expansion of (log 1) in k 1.098 * [taylor]: Taking taylor expansion of 1 in k 1.098 * [taylor]: Taking taylor expansion of (log n) in k 1.098 * [taylor]: Taking taylor expansion of n in k 1.103 * [taylor]: Taking taylor expansion of 0 in k 1.110 * [taylor]: Taking taylor expansion of 0 in k 1.120 * [taylor]: Taking taylor expansion of 0 in k 1.121 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.121 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.121 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.121 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.121 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.121 * [taylor]: Taking taylor expansion of 0.5 in n 1.121 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.121 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.121 * [taylor]: Taking taylor expansion of 2.0 in n 1.121 * [taylor]: Taking taylor expansion of (* n PI) in n 1.121 * [taylor]: Taking taylor expansion of n in n 1.121 * [taylor]: Taking taylor expansion of PI in n 1.121 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.121 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.121 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.121 * [taylor]: Taking taylor expansion of 0.5 in n 1.121 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.121 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.121 * [taylor]: Taking taylor expansion of 2.0 in n 1.121 * [taylor]: Taking taylor expansion of (* n PI) in n 1.121 * [taylor]: Taking taylor expansion of n in n 1.121 * [taylor]: Taking taylor expansion of PI in n 1.129 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.129 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.129 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.129 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.129 * [taylor]: Taking taylor expansion of 0.5 in n 1.129 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.129 * [taylor]: Taking taylor expansion of 2.0 in n 1.129 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.129 * [taylor]: Taking taylor expansion of PI in n 1.129 * [taylor]: Taking taylor expansion of n in n 1.129 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.129 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.129 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.129 * [taylor]: Taking taylor expansion of 0.5 in n 1.129 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.129 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.129 * [taylor]: Taking taylor expansion of 2.0 in n 1.129 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.129 * [taylor]: Taking taylor expansion of PI in n 1.129 * [taylor]: Taking taylor expansion of n in n 1.137 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.137 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.137 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.137 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.137 * [taylor]: Taking taylor expansion of 0.5 in n 1.137 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.137 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.137 * [taylor]: Taking taylor expansion of -2.0 in n 1.137 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.137 * [taylor]: Taking taylor expansion of PI in n 1.137 * [taylor]: Taking taylor expansion of n in n 1.137 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.137 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.137 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.137 * [taylor]: Taking taylor expansion of 0.5 in n 1.137 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.137 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.137 * [taylor]: Taking taylor expansion of -2.0 in n 1.137 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.137 * [taylor]: Taking taylor expansion of PI in n 1.137 * [taylor]: Taking taylor expansion of n in n 1.144 * * * [progress]: simplifying candidates 1.151 * [simplify]: Simplifying using # : (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (log PI) (+ (log 2.0) (log n))) (+ (log PI) (log (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* PI (* 2.0 n))) (* (* (* PI PI) PI) (* (* (* 2.0 2.0) 2.0) (* (* n n) n))) (* (* (* PI PI) PI) (* (* (* 2.0 n) (* 2.0 n)) (* 2.0 n))) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (* (* (* PI (* 2.0 n)) (* PI (* 2.0 n))) (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* (cbrt PI) (* 2.0 n)) (* (sqrt PI) (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (log PI) (+ (log 2.0) (log n))) (+ (log PI) (log (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* PI (* 2.0 n))) (* (* (* PI PI) PI) (* (* (* 2.0 2.0) 2.0) (* (* n n) n))) (* (* (* PI PI) PI) (* (* (* 2.0 n) (* 2.0 n)) (* 2.0 n))) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (* (* (* PI (* 2.0 n)) (* PI (* 2.0 n))) (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* (cbrt PI) (* 2.0 n)) (* (sqrt PI) (* 2.0 n)) (* PI (* 2.0 n)) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (exp (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (/ (/ (* (* (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (cbrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k)))) (cbrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (* (* (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k)) (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (sqrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (sqrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (neg (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (neg (sqrt k)) (/ (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (sqrt k))) (/ (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (cbrt k))) (/ (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt 1)) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt k)) (/ (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) 1) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt k)) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (cbrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt 1)) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt k)) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) 1) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt k)) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (cbrt (sqrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (sqrt (cbrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (sqrt 1)) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (sqrt k)) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) 1) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (sqrt k)) (/ (/ (pow PI (/ 1.0 2.0)) (* (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (sqrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (* (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (cbrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (* (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (sqrt k))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (* (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt 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k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* PI (* 2.0 n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (* (/ (cbrt 1.0) (cbrt 2.0)) (/ (cbrt 1.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (* (/ (cbrt 1.0) (sqrt 2.0)) (cbrt 1.0))) (pow (* PI (* 2.0 n)) (* (cbrt 1.0) (cbrt 1.0))) (pow (* PI (* 2.0 n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt 1.0)) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) 1.0) (pow PI (/ 1.0 2.0)) (pow (* 2.0 n) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (exp (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ 1.0 (* 2.0 2))) (pow (* PI (* 2.0 n)) (/ 1.0 (* 2.0 2))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (* 0.125 (* k (* k (* (pow (log (* PI 2.0)) 2) (* NAN (pow (* (pow (* 1 (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* (pow (* (pow (* 1 (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log n) 2))))) (* k (* k (pow NAN 5))))) (- (+ (* (pow (* (pow (* 1 (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* (* k k) (* (* (log n) (log (* PI 2.0))) NAN)) 0.25)) (* (pow (* (pow (* 1 (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (pow NAN 3)) NAN))) (+ (* 0.5 (* (pow (* (pow (* 1 (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log (* PI 2.0)) NAN)) (* (log n) (* k (* k (pow NAN 3))))))) (* (pow (* (pow (* 1 (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (log n) (* k NAN))) (* 0.5 (* k (* k (* (log (* PI 2.0)) (pow NAN 3))))))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (pow (* PI (* 2.0 n)) (* k 0.5)))) (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5)) (* (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5) (+ (/ NAN (* k (pow (* PI (* 2.0 n)) (* k 0.5)))) (/ (pow NAN 3) (* k (* k (pow (* PI (* 2.0 n)) (* k 0.5)))))))) (* (pow (* (/ (pow -2.0 1.0) (pow (* 1 (pow (/ -1 n) 1.0)) 1.0)) (pow PI 1.0)) 0.5) (+ (/ NAN (* k (pow (pow (exp 0.5) (- (log (* PI -2.0)) (log (/ -1 n)))) k))) (/ (exp (neg (* k (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n))))))) NAN))) (pow (* PI (* 2.0 n)) 0.5) (pow (* PI (* 2.0 n)) 0.5) (pow (exp 0.5) (- (log (* PI -2.0)) (log (/ -1 n)))) 1.251 * * * [progress]: adding candidates to table 2.021 * * [progress]: iteration 3 / 4 2.021 * * * [progress]: picking best candidate 2.054 * * * * [pick]: Picked # 2.054 * * * [progress]: localizing error 2.076 * * * [progress]: generating rewritten candidates 2.076 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1 2 2 2) 2.078 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) 2.079 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 2.088 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1 2 2) 2.095 * * * [progress]: generating series expansions 2.095 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1 2 2 2) 2.095 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1 1) 2.095 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 2.095 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.095 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.095 * [taylor]: Taking taylor expansion of 2.0 in n 2.095 * [taylor]: Taking taylor expansion of (* n PI) in n 2.095 * [taylor]: Taking taylor expansion of n in n 2.095 * [taylor]: Taking taylor expansion of PI in n 2.095 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.095 * [taylor]: Taking taylor expansion of 2.0 in n 2.095 * [taylor]: Taking taylor expansion of (* n PI) in n 2.095 * [taylor]: Taking taylor expansion of n in n 2.095 * [taylor]: Taking taylor expansion of PI in n 2.096 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.096 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.096 * [taylor]: Taking taylor expansion of 2.0 in n 2.096 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.096 * [taylor]: Taking taylor expansion of PI in n 2.096 * [taylor]: Taking taylor expansion of n in n 2.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.097 * [taylor]: Taking taylor expansion of 2.0 in n 2.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.097 * [taylor]: Taking taylor expansion of PI in n 2.097 * [taylor]: Taking taylor expansion of n in n 2.097 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.097 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.097 * [taylor]: Taking taylor expansion of -2.0 in n 2.097 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.098 * [taylor]: Taking taylor expansion of PI in n 2.098 * [taylor]: Taking taylor expansion of n in n 2.098 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.098 * [taylor]: Taking taylor expansion of -2.0 in n 2.098 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.098 * [taylor]: Taking taylor expansion of PI in n 2.098 * [taylor]: Taking taylor expansion of n in n 2.098 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1 2 2) 2.098 * [approximate]: Taking taylor expansion of (* n (sqrt PI)) in (n) around 0 2.098 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 2.099 * [taylor]: Taking taylor expansion of n in n 2.099 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.099 * [taylor]: Taking taylor expansion of PI in n 2.099 * [taylor]: Taking taylor expansion of (* n (sqrt PI)) in n 2.099 * [taylor]: Taking taylor expansion of n in n 2.099 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.099 * [taylor]: Taking taylor expansion of PI in n 2.100 * [approximate]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in (n) around 0 2.100 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.100 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.100 * [taylor]: Taking taylor expansion of n in n 2.100 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.100 * [taylor]: Taking taylor expansion of PI in n 2.100 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.100 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.100 * [taylor]: Taking taylor expansion of n in n 2.100 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.100 * [taylor]: Taking taylor expansion of PI in n 2.101 * [approximate]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in (n) around 0 2.101 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.101 * [taylor]: Taking taylor expansion of -1 in n 2.101 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.101 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.101 * [taylor]: Taking taylor expansion of n in n 2.101 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.101 * [taylor]: Taking taylor expansion of PI in n 2.101 * [taylor]: Taking taylor expansion of (* -1 (* (/ 1 n) (sqrt PI))) in n 2.101 * [taylor]: Taking taylor expansion of -1 in n 2.101 * [taylor]: Taking taylor expansion of (* (/ 1 n) (sqrt PI)) in n 2.101 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.101 * [taylor]: Taking taylor expansion of n in n 2.101 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.101 * [taylor]: Taking taylor expansion of PI in n 2.103 * * * [progress]: simplifying candidates 2.104 * [simplify]: Simplifying using # : (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (sqrt PI) (* 2.0 (* n (sqrt PI)))) (* (sqrt PI) (* 2.0 (* n (sqrt PI)))) (* (sqrt PI) (* 2.0 (* n (sqrt PI)))) (+ (log (sqrt PI)) (+ (log 2.0) (+ (log n) (log (sqrt PI))))) (+ (log (sqrt PI)) (+ (log 2.0) (log (* n (sqrt PI))))) (+ (log (sqrt PI)) (log (* 2.0 (* n (sqrt PI))))) (log (* (sqrt PI) (* 2.0 (* n (sqrt PI))))) (exp (* (sqrt PI) (* 2.0 (* n (sqrt PI))))) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (* 2.0 2.0) 2.0) (* (* (* n n) n) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))))) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (* 2.0 2.0) 2.0) (* (* (* n (sqrt PI)) (* n (sqrt PI))) (* n (sqrt PI))))) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (* 2.0 (* n (sqrt PI))) (* 2.0 (* n (sqrt PI)))) (* 2.0 (* n (sqrt PI))))) (* (cbrt (* (sqrt PI) (* 2.0 (* n (sqrt PI))))) (cbrt (* (sqrt PI) (* 2.0 (* n (sqrt PI)))))) (cbrt (* (sqrt PI) (* 2.0 (* n (sqrt PI))))) (* (* (* (sqrt PI) (* 2.0 (* n (sqrt PI)))) (* (sqrt PI) (* 2.0 (* n (sqrt PI))))) (* (sqrt PI) (* 2.0 (* n (sqrt PI))))) (sqrt (* (sqrt PI) (* 2.0 (* n (sqrt PI))))) (sqrt (* (sqrt PI) (* 2.0 (* n (sqrt PI))))) (* (sqrt PI) 2.0) (* (cbrt (sqrt PI)) (* 2.0 (* n (sqrt PI)))) (* (sqrt (cbrt PI)) (* 2.0 (* n (sqrt PI)))) (* (sqrt (sqrt PI)) (* 2.0 (* n (sqrt PI)))) (* (sqrt PI) (* 2.0 (* n (sqrt PI)))) (* (sqrt (sqrt PI)) (* 2.0 (* n (sqrt PI)))) (* (sqrt PI) (* 2.0 (* n (sqrt PI)))) (* n (sqrt PI)) (+ (log n) (log (sqrt PI))) (log (* n (sqrt PI))) (exp (* n (sqrt PI))) (* (* (* n n) n) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (* (cbrt (* n (sqrt PI))) (cbrt (* n (sqrt PI)))) (cbrt (* n (sqrt PI))) (* (* (* n (sqrt PI)) (* n (sqrt PI))) (* n (sqrt PI))) (sqrt (* n (sqrt PI))) (sqrt (* n (sqrt PI))) (* (sqrt n) (sqrt (sqrt PI))) (* (sqrt n) (sqrt (sqrt PI))) (* (sqrt n) (sqrt (sqrt PI))) (* (sqrt n) (sqrt (sqrt PI))) (* n (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (* n (sqrt (* (cbrt PI) (cbrt PI)))) (* n (sqrt (sqrt PI))) (* n (sqrt 1)) (* n (sqrt (sqrt PI))) (* n 1) (* (cbrt n) (sqrt PI)) (* (sqrt n) (sqrt PI)) (* n (sqrt PI)) (* 1.0 (/ (/ (pow (* (sqrt PI) (* 2.0 (* n (sqrt PI)))) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (* 1.0 (/ (/ (pow (* (sqrt PI) (* 2.0 (* n (sqrt PI)))) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* n (sqrt PI)) (* n (sqrt PI)) (* n (sqrt PI)) 2.137 * * [simplify]: iteration 0 : 5276 enodes (cost 438 ) 2.140 * [simplify]: Simplified to: (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* PI (sqrt PI)) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* PI (sqrt PI)) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (pow (exp n) (* PI 2.0)) (pow (* PI (* 2.0 n)) 3) (pow (* PI (* 2.0 n)) 3) (pow (* PI (* 2.0 n)) 3) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (pow (* PI (* 2.0 n)) 3) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* (sqrt PI) 2.0) (* (sqrt PI) (* (cbrt (sqrt PI)) (* 2.0 n))) (* (sqrt PI) (* (sqrt (cbrt PI)) (* 2.0 n))) (* (sqrt PI) (* (sqrt (sqrt PI)) (* 2.0 n))) (* PI (* 2.0 n)) (* (sqrt PI) (* (sqrt (sqrt PI)) (* 2.0 n))) (* PI (* 2.0 n)) (* (sqrt PI) n) (log (* (sqrt PI) n)) (log (* (sqrt PI) n)) (pow (exp (sqrt PI)) n) (pow (* (sqrt PI) n) 3) (* (cbrt (* (sqrt PI) n)) (cbrt (* (sqrt PI) n))) (cbrt (* (sqrt PI) n)) (pow (* (sqrt PI) n) 3) (sqrt (* (sqrt PI) n)) (sqrt (* (sqrt PI) n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (sqrt (sqrt PI)) (sqrt n)) (* (cbrt (sqrt PI)) (* (cbrt (sqrt PI)) n)) (* (fabs (cbrt PI)) n) (* (sqrt (sqrt PI)) n) n (* (sqrt (sqrt PI)) n) n (* (sqrt PI) (cbrt n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) n) (* 1.0 (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (* 1.0 (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* (sqrt PI) n) (* (sqrt PI) n) (* (sqrt PI) n) 2.140 * * * [progress]: adding candidates to table 2.240 * * [progress]: iteration 4 / 4 2.240 * * * [progress]: picking best candidate 2.269 * * * * [pick]: Picked # 2.269 * * * [progress]: localizing error 2.289 * * * [progress]: generating rewritten candidates 2.289 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.306 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 2 2 1) 2.311 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1 1) 2.315 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 1) 2.324 * * * [progress]: generating series expansions 2.324 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.324 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (n k) around 0 2.324 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 2.324 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.324 * [taylor]: Taking taylor expansion of k in k 2.324 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 2.324 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.325 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.325 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.325 * [taylor]: Taking taylor expansion of 0.5 in k 2.325 * [taylor]: Taking taylor expansion of k in k 2.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.325 * [taylor]: Taking taylor expansion of 2.0 in k 2.325 * [taylor]: Taking taylor expansion of (* n PI) in k 2.325 * [taylor]: Taking taylor expansion of n in k 2.325 * [taylor]: Taking taylor expansion of PI in k 2.325 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.325 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.325 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.325 * [taylor]: Taking taylor expansion of 0.5 in k 2.325 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.325 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.325 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.325 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.325 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.325 * [taylor]: Taking taylor expansion of 1.0 in k 2.325 * [taylor]: Taking taylor expansion of (log PI) in k 2.325 * [taylor]: Taking taylor expansion of PI in k 2.325 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.325 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.325 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.325 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.325 * [taylor]: Taking taylor expansion of 1.0 in k 2.325 * [taylor]: Taking taylor expansion of (log n) in k 2.325 * [taylor]: Taking taylor expansion of n in k 2.326 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.326 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.326 * [taylor]: Taking taylor expansion of 1.0 in k 2.326 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.326 * [taylor]: Taking taylor expansion of 2.0 in k 2.326 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.326 * [taylor]: Taking taylor expansion of k in n 2.327 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.327 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.327 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.327 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.327 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.327 * [taylor]: Taking taylor expansion of 0.5 in n 2.327 * [taylor]: Taking taylor expansion of k in n 2.327 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.327 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.327 * [taylor]: Taking taylor expansion of 2.0 in n 2.327 * [taylor]: Taking taylor expansion of (* n PI) in n 2.327 * [taylor]: Taking taylor expansion of n in n 2.327 * [taylor]: Taking taylor expansion of PI in n 2.327 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.327 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.327 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.327 * [taylor]: Taking taylor expansion of 0.5 in n 2.327 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.327 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.327 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.327 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.327 * [taylor]: Taking taylor expansion of 1.0 in n 2.327 * [taylor]: Taking taylor expansion of (log PI) in n 2.327 * [taylor]: Taking taylor expansion of PI in n 2.327 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.327 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.327 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.327 * [taylor]: Taking taylor expansion of 1.0 in n 2.327 * [taylor]: Taking taylor expansion of (log n) in n 2.327 * [taylor]: Taking taylor expansion of n in n 2.328 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.328 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.328 * [taylor]: Taking taylor expansion of 1.0 in n 2.328 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.328 * [taylor]: Taking taylor expansion of 2.0 in n 2.328 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.329 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.329 * [taylor]: Taking taylor expansion of k in n 2.329 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.329 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.329 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.329 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.329 * [taylor]: Taking taylor expansion of 0.5 in n 2.329 * [taylor]: Taking taylor expansion of k in n 2.329 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.329 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.329 * [taylor]: Taking taylor expansion of 2.0 in n 2.329 * [taylor]: Taking taylor expansion of (* n PI) in n 2.329 * [taylor]: Taking taylor expansion of n in n 2.329 * [taylor]: Taking taylor expansion of PI in n 2.329 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.329 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.329 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.329 * [taylor]: Taking taylor expansion of 0.5 in n 2.329 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.329 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.329 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.329 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.329 * [taylor]: Taking taylor expansion of 1.0 in n 2.329 * [taylor]: Taking taylor expansion of (log PI) in n 2.329 * [taylor]: Taking taylor expansion of PI in n 2.329 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.330 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.330 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.330 * [taylor]: Taking taylor expansion of 1.0 in n 2.330 * [taylor]: Taking taylor expansion of (log n) in n 2.330 * [taylor]: Taking taylor expansion of n in n 2.330 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.330 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.330 * [taylor]: Taking taylor expansion of 1.0 in n 2.330 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.330 * [taylor]: Taking taylor expansion of 2.0 in n 2.331 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 2.331 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.331 * [taylor]: Taking taylor expansion of k in k 2.331 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 2.331 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.331 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.331 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.331 * [taylor]: Taking taylor expansion of 0.5 in k 2.331 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.331 * [taylor]: Taking taylor expansion of k in k 2.331 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.331 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.331 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.332 * [taylor]: Taking taylor expansion of 2.0 in k 2.332 * [taylor]: Taking taylor expansion of PI in k 2.332 * [taylor]: Taking taylor expansion of (log n) in k 2.332 * [taylor]: Taking taylor expansion of n in k 2.332 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 2.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 2.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 2.332 * [taylor]: Taking taylor expansion of 0.5 in k 2.332 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 2.332 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 2.332 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.332 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.332 * [taylor]: Taking taylor expansion of 1.0 in k 2.332 * [taylor]: Taking taylor expansion of (log PI) in k 2.332 * [taylor]: Taking taylor expansion of PI in k 2.332 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 2.332 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.332 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.332 * [taylor]: Taking taylor expansion of 1.0 in k 2.332 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.332 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.332 * [taylor]: Taking taylor expansion of 1.0 in k 2.332 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.333 * [taylor]: Taking taylor expansion of (log 1) in k 2.333 * [taylor]: Taking taylor expansion of 1 in k 2.333 * [taylor]: Taking taylor expansion of (log n) in k 2.333 * [taylor]: Taking taylor expansion of n in k 2.333 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.333 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.333 * [taylor]: Taking taylor expansion of 1.0 in k 2.333 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.333 * [taylor]: Taking taylor expansion of 2.0 in k 2.337 * [taylor]: Taking taylor expansion of 0 in k 2.344 * [taylor]: Taking taylor expansion of 0 in k 2.359 * [taylor]: Taking taylor expansion of 0 in k 2.379 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (n k) around 0 2.379 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.379 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.379 * [taylor]: Taking taylor expansion of k in k 2.379 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.379 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.379 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.380 * [taylor]: Taking taylor expansion of 0.5 in k 2.380 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.380 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.380 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.380 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.380 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.380 * [taylor]: Taking taylor expansion of 1.0 in k 2.380 * [taylor]: Taking taylor expansion of (log PI) in k 2.380 * [taylor]: Taking taylor expansion of PI in k 2.380 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.380 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.380 * [taylor]: Taking taylor expansion of 1.0 in k 2.380 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.380 * [taylor]: Taking taylor expansion of 2.0 in k 2.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.380 * [taylor]: Taking taylor expansion of 1.0 in k 2.380 * [taylor]: Taking taylor expansion of (log n) in k 2.380 * [taylor]: Taking taylor expansion of n in k 2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.381 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.381 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.381 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.381 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.381 * [taylor]: Taking taylor expansion of 0.5 in k 2.381 * [taylor]: Taking taylor expansion of k in k 2.381 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.381 * [taylor]: Taking taylor expansion of 2.0 in k 2.381 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.381 * [taylor]: Taking taylor expansion of PI in k 2.381 * [taylor]: Taking taylor expansion of n in k 2.381 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.381 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.381 * [taylor]: Taking taylor expansion of k in n 2.381 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.381 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.381 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.381 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.381 * [taylor]: Taking taylor expansion of 0.5 in n 2.381 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.381 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.381 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.381 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.382 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.382 * [taylor]: Taking taylor expansion of 1.0 in n 2.382 * [taylor]: Taking taylor expansion of (log PI) in n 2.382 * [taylor]: Taking taylor expansion of PI in n 2.382 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.382 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.382 * [taylor]: Taking taylor expansion of 1.0 in n 2.382 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.382 * [taylor]: Taking taylor expansion of 2.0 in n 2.382 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.382 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.382 * [taylor]: Taking taylor expansion of 1.0 in n 2.382 * [taylor]: Taking taylor expansion of (log n) in n 2.382 * [taylor]: Taking taylor expansion of n in n 2.383 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.383 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.383 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.383 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.383 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.383 * [taylor]: Taking taylor expansion of 0.5 in n 2.383 * [taylor]: Taking taylor expansion of k in n 2.383 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.383 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.383 * [taylor]: Taking taylor expansion of 2.0 in n 2.383 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.383 * [taylor]: Taking taylor expansion of PI in n 2.383 * [taylor]: Taking taylor expansion of n in n 2.383 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.383 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.383 * [taylor]: Taking taylor expansion of k in n 2.383 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.383 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.383 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.383 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.383 * [taylor]: Taking taylor expansion of 0.5 in n 2.383 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.383 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.384 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.384 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.384 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.384 * [taylor]: Taking taylor expansion of 1.0 in n 2.384 * [taylor]: Taking taylor expansion of (log PI) in n 2.384 * [taylor]: Taking taylor expansion of PI in n 2.384 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.384 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.384 * [taylor]: Taking taylor expansion of 1.0 in n 2.384 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.384 * [taylor]: Taking taylor expansion of 2.0 in n 2.384 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.384 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.384 * [taylor]: Taking taylor expansion of 1.0 in n 2.384 * [taylor]: Taking taylor expansion of (log n) in n 2.384 * [taylor]: Taking taylor expansion of n in n 2.385 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.385 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.385 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.385 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.385 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.385 * [taylor]: Taking taylor expansion of 0.5 in n 2.385 * [taylor]: Taking taylor expansion of k in n 2.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.385 * [taylor]: Taking taylor expansion of 2.0 in n 2.385 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.385 * [taylor]: Taking taylor expansion of PI in n 2.385 * [taylor]: Taking taylor expansion of n in n 2.386 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 2.386 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.386 * [taylor]: Taking taylor expansion of k in k 2.386 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 2.386 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 2.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.386 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.386 * [taylor]: Taking taylor expansion of 0.5 in k 2.386 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.386 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.386 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.386 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.386 * [taylor]: Taking taylor expansion of 2.0 in k 2.386 * [taylor]: Taking taylor expansion of PI in k 2.386 * [taylor]: Taking taylor expansion of (log n) in k 2.386 * [taylor]: Taking taylor expansion of n in k 2.386 * [taylor]: Taking taylor expansion of k in k 2.387 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.387 * [taylor]: Taking taylor expansion of 0.5 in k 2.387 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.387 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.387 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.387 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.387 * [taylor]: Taking taylor expansion of 1.0 in k 2.387 * [taylor]: Taking taylor expansion of (log PI) in k 2.387 * [taylor]: Taking taylor expansion of PI in k 2.387 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.387 * [taylor]: Taking taylor expansion of 1.0 in k 2.387 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.387 * [taylor]: Taking taylor expansion of 2.0 in k 2.387 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.387 * [taylor]: Taking taylor expansion of 1.0 in k 2.387 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.387 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.387 * [taylor]: Taking taylor expansion of 1.0 in k 2.387 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.387 * [taylor]: Taking taylor expansion of (log 1) in k 2.387 * [taylor]: Taking taylor expansion of 1 in k 2.387 * [taylor]: Taking taylor expansion of (log n) in k 2.387 * [taylor]: Taking taylor expansion of n in k 2.392 * [taylor]: Taking taylor expansion of 0 in k 2.399 * [taylor]: Taking taylor expansion of 0 in k 2.410 * [taylor]: Taking taylor expansion of 0 in k 2.418 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in (n k) around 0 2.418 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.418 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.418 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.418 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.418 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.418 * [taylor]: Taking taylor expansion of -1 in k 2.418 * [taylor]: Taking taylor expansion of k in k 2.418 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.418 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.418 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.419 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.419 * [taylor]: Taking taylor expansion of -0.5 in k 2.419 * [taylor]: Taking taylor expansion of k in k 2.419 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.419 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.419 * [taylor]: Taking taylor expansion of -2.0 in k 2.419 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.419 * [taylor]: Taking taylor expansion of PI in k 2.419 * [taylor]: Taking taylor expansion of n in k 2.419 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.419 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.419 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.419 * [taylor]: Taking taylor expansion of 0.5 in k 2.419 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.419 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.419 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.419 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.419 * [taylor]: Taking taylor expansion of 1.0 in k 2.419 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.419 * [taylor]: Taking taylor expansion of -2.0 in k 2.419 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.419 * [taylor]: Taking taylor expansion of 1.0 in k 2.419 * [taylor]: Taking taylor expansion of (log PI) in k 2.419 * [taylor]: Taking taylor expansion of PI in k 2.420 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.420 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.420 * [taylor]: Taking taylor expansion of 1.0 in k 2.420 * [taylor]: Taking taylor expansion of (log n) in k 2.420 * [taylor]: Taking taylor expansion of n in k 2.420 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.420 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.420 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.420 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.421 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.421 * [taylor]: Taking taylor expansion of -1 in n 2.421 * [taylor]: Taking taylor expansion of k in n 2.421 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.421 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.421 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.421 * [taylor]: Taking taylor expansion of -0.5 in n 2.421 * [taylor]: Taking taylor expansion of k in n 2.421 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.421 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.421 * [taylor]: Taking taylor expansion of -2.0 in n 2.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.421 * [taylor]: Taking taylor expansion of PI in n 2.421 * [taylor]: Taking taylor expansion of n in n 2.421 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.421 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.421 * [taylor]: Taking taylor expansion of 0.5 in n 2.421 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.421 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.421 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.421 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.421 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.421 * [taylor]: Taking taylor expansion of 1.0 in n 2.422 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.422 * [taylor]: Taking taylor expansion of -2.0 in n 2.422 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.422 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.422 * [taylor]: Taking taylor expansion of 1.0 in n 2.422 * [taylor]: Taking taylor expansion of (log PI) in n 2.422 * [taylor]: Taking taylor expansion of PI in n 2.422 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.422 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.422 * [taylor]: Taking taylor expansion of 1.0 in n 2.422 * [taylor]: Taking taylor expansion of (log n) in n 2.422 * [taylor]: Taking taylor expansion of n in n 2.423 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.423 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.423 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.423 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.423 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.423 * [taylor]: Taking taylor expansion of -1 in n 2.423 * [taylor]: Taking taylor expansion of k in n 2.423 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.423 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.423 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.423 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.423 * [taylor]: Taking taylor expansion of -0.5 in n 2.423 * [taylor]: Taking taylor expansion of k in n 2.423 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.423 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.423 * [taylor]: Taking taylor expansion of -2.0 in n 2.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.423 * [taylor]: Taking taylor expansion of PI in n 2.423 * [taylor]: Taking taylor expansion of n in n 2.424 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.424 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.424 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.424 * [taylor]: Taking taylor expansion of 0.5 in n 2.424 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.424 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.424 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.424 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.424 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.424 * [taylor]: Taking taylor expansion of 1.0 in n 2.424 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.424 * [taylor]: Taking taylor expansion of -2.0 in n 2.424 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.424 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.424 * [taylor]: Taking taylor expansion of 1.0 in n 2.424 * [taylor]: Taking taylor expansion of (log PI) in n 2.424 * [taylor]: Taking taylor expansion of PI in n 2.424 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.424 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.424 * [taylor]: Taking taylor expansion of 1.0 in n 2.424 * [taylor]: Taking taylor expansion of (log n) in n 2.424 * [taylor]: Taking taylor expansion of n in n 2.425 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 2.425 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.425 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.425 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.425 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.425 * [taylor]: Taking taylor expansion of -0.5 in k 2.425 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.425 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.426 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.426 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.426 * [taylor]: Taking taylor expansion of -2.0 in k 2.426 * [taylor]: Taking taylor expansion of PI in k 2.426 * [taylor]: Taking taylor expansion of (log n) in k 2.426 * [taylor]: Taking taylor expansion of n in k 2.426 * [taylor]: Taking taylor expansion of k in k 2.426 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.426 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.426 * [taylor]: Taking taylor expansion of -1 in k 2.426 * [taylor]: Taking taylor expansion of k in k 2.426 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 2.426 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 2.426 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 2.426 * [taylor]: Taking taylor expansion of 0.5 in k 2.426 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 2.426 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 2.426 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.426 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.426 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.426 * [taylor]: Taking taylor expansion of 1.0 in k 2.426 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.426 * [taylor]: Taking taylor expansion of -2.0 in k 2.427 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.427 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.427 * [taylor]: Taking taylor expansion of 1.0 in k 2.427 * [taylor]: Taking taylor expansion of (log PI) in k 2.427 * [taylor]: Taking taylor expansion of PI in k 2.427 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.427 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.427 * [taylor]: Taking taylor expansion of 1.0 in k 2.427 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.427 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.427 * [taylor]: Taking taylor expansion of 1.0 in k 2.427 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.427 * [taylor]: Taking taylor expansion of (log 1) in k 2.427 * [taylor]: Taking taylor expansion of 1 in k 2.427 * [taylor]: Taking taylor expansion of (log n) in k 2.427 * [taylor]: Taking taylor expansion of n in k 2.431 * [taylor]: Taking taylor expansion of 0 in k 2.439 * [taylor]: Taking taylor expansion of 0 in k 2.451 * [taylor]: Taking taylor expansion of 0 in k 2.452 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 2 2 1) 2.452 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.452 * [taylor]: Taking taylor expansion of 2.0 in n 2.452 * [taylor]: Taking taylor expansion of (* n PI) in n 2.452 * [taylor]: Taking taylor expansion of n in n 2.452 * [taylor]: Taking taylor expansion of PI in n 2.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.452 * [taylor]: Taking taylor expansion of 2.0 in n 2.452 * [taylor]: Taking taylor expansion of (* n PI) in n 2.452 * [taylor]: Taking taylor expansion of n in n 2.452 * [taylor]: Taking taylor expansion of PI in n 2.453 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.453 * [taylor]: Taking taylor expansion of 2.0 in n 2.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.453 * [taylor]: Taking taylor expansion of PI in n 2.453 * [taylor]: Taking taylor expansion of n in n 2.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.453 * [taylor]: Taking taylor expansion of 2.0 in n 2.453 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.453 * [taylor]: Taking taylor expansion of PI in n 2.453 * [taylor]: Taking taylor expansion of n in n 2.454 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.454 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.454 * [taylor]: Taking taylor expansion of -2.0 in n 2.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.454 * [taylor]: Taking taylor expansion of PI in n 2.454 * [taylor]: Taking taylor expansion of n in n 2.454 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.454 * [taylor]: Taking taylor expansion of -2.0 in n 2.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.454 * [taylor]: Taking taylor expansion of PI in n 2.454 * [taylor]: Taking taylor expansion of n in n 2.455 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1 1) 2.455 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.455 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.455 * [taylor]: Taking taylor expansion of 2.0 in n 2.455 * [taylor]: Taking taylor expansion of (* n PI) in n 2.455 * [taylor]: Taking taylor expansion of n in n 2.455 * [taylor]: Taking taylor expansion of PI in n 2.455 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.455 * [taylor]: Taking taylor expansion of 2.0 in n 2.455 * [taylor]: Taking taylor expansion of (* n PI) in n 2.455 * [taylor]: Taking taylor expansion of n in n 2.455 * [taylor]: Taking taylor expansion of PI in n 2.456 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.456 * [taylor]: Taking taylor expansion of 2.0 in n 2.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.456 * [taylor]: Taking taylor expansion of PI in n 2.456 * [taylor]: Taking taylor expansion of n in n 2.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.456 * [taylor]: Taking taylor expansion of 2.0 in n 2.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.456 * [taylor]: Taking taylor expansion of PI in n 2.456 * [taylor]: Taking taylor expansion of n in n 2.457 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.457 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.457 * [taylor]: Taking taylor expansion of -2.0 in n 2.457 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.457 * [taylor]: Taking taylor expansion of PI in n 2.457 * [taylor]: Taking taylor expansion of n in n 2.457 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.457 * [taylor]: Taking taylor expansion of -2.0 in n 2.457 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.457 * [taylor]: Taking taylor expansion of PI in n 2.457 * [taylor]: Taking taylor expansion of n in n 2.458 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 1) 2.458 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.458 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.458 * [taylor]: Taking taylor expansion of 2.0 in n 2.458 * [taylor]: Taking taylor expansion of (* n PI) in n 2.458 * [taylor]: Taking taylor expansion of n in n 2.458 * [taylor]: Taking taylor expansion of PI in n 2.458 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.458 * [taylor]: Taking taylor expansion of 2.0 in n 2.458 * [taylor]: Taking taylor expansion of (* n PI) in n 2.458 * [taylor]: Taking taylor expansion of n in n 2.458 * [taylor]: Taking taylor expansion of PI in n 2.459 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.459 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.459 * [taylor]: Taking taylor expansion of 2.0 in n 2.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.459 * [taylor]: Taking taylor expansion of PI in n 2.459 * [taylor]: Taking taylor expansion of n in n 2.459 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.459 * [taylor]: Taking taylor expansion of 2.0 in n 2.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.459 * [taylor]: Taking taylor expansion of PI in n 2.459 * [taylor]: Taking taylor expansion of n in n 2.460 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.460 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.460 * [taylor]: Taking taylor expansion of -2.0 in n 2.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.460 * [taylor]: Taking taylor expansion of PI in n 2.460 * [taylor]: Taking taylor expansion of n in n 2.460 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.460 * [taylor]: Taking taylor expansion of -2.0 in n 2.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.460 * [taylor]: Taking taylor expansion of PI in n 2.460 * [taylor]: Taking taylor expansion of n in n 2.461 * * * [progress]: simplifying candidates 2.463 * [simplify]: Simplifying using # : (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (* (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (+ 1 1) (+ (log (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (log (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (log (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (exp (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (* (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (* (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (cbrt (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (cbrt (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))))) (cbrt (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (* (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (sqrt (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (* (sqrt (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (* (cbrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (cbrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (cbrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (cbrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))))) (* (cbrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (cbrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (sqrt (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))))) (* (sqrt (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (/ (pow PI (/ 1.0 2.0)) (sqrt k))) (sqrt (/ (pow PI (/ 1.0 2.0)) (sqrt k)))) (* (sqrt (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (sqrt (/ (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (sqrt k))) (sqrt (/ (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (sqrt k)))) (* (sqrt (/ (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (/ (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (sqrt (/ (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt k))) (sqrt (/ (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt k)))) (* (sqrt (/ (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (/ (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (sqrt (/ 1 (sqrt k))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2)) (sqrt k))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2)) (sqrt k)))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (sqrt 1) (sqrt 1)) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (* (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (* (sqrt (/ 1 (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ 1 (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* 1 1) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (cbrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (cbrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow PI (/ 1.0 2.0)) (sqrt k)))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (sqrt k)))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt k)))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ 1 (sqrt k)))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (/ 1.0 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(* 2.0 n)) (/ 1.0 2.0)))) (* (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (pow (exp PI) (* 2.0 n)) (pow (* PI (* 2.0 n)) 3) (pow (* PI (* 2.0 n)) 3) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (pow (* PI (* 2.0 n)) 3) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* 2.0 (* n (cbrt PI))) (* 2.0 (* n (sqrt PI))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (pow (exp PI) (* 2.0 n)) (pow (* PI (* 2.0 n)) 3) (pow (* PI (* 2.0 n)) 3) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (pow (* PI (* 2.0 n)) 3) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* 2.0 (* n (cbrt PI))) (* 2.0 (* n (sqrt PI))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (pow (exp PI) (* 2.0 n)) (pow (* PI (* 2.0 n)) 3) (pow (* PI (* 2.0 n)) 3) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (pow (* PI (* 2.0 n)) 3) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* 2.0 (* n (cbrt PI))) (* 2.0 (* n (sqrt PI))) (* PI (* 2.0 n)) (+ (* 0.125 (* k (* k (* (pow (log (* PI 2.0)) 2) (* NAN (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log n) 2))))) (* k (* k (pow NAN 5))))) (- (+ (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* (* k k) (* (* (log n) (log (* PI 2.0))) NAN)) 0.25)) (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (pow NAN 3)) NAN))) (+ (* 0.5 (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log (* PI 2.0)) NAN)) (* k (* k (* (log n) (pow NAN 3))))))) (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (* (log n) NAN))) (* 0.5 (* k (* k (* (log (* PI 2.0)) (pow NAN 3))))))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (pow (* PI (* 2.0 n)) (* k 0.5)))) (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5)) (* (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5) (+ (/ (pow NAN 3) (* k (* k (pow (* PI (* 2.0 n)) (* k 0.5))))) (/ NAN (* k (pow (* PI (* 2.0 n)) (* k 0.5))))))) (* (pow (* (/ (pow -2.0 1.0) (pow (pow (/ -1 n) 1.0) 1.0)) (pow PI 1.0)) 0.5) (+ (/ NAN (* k (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n))))))) (/ (exp (* k (neg (* (- (log (* PI -2.0)) (log (/ -1 n))) 0.5)))) NAN))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) 2.499 * * * [progress]: adding candidates to table 2.784 * [progress]: [Phase 3 of 3] Extracting. 2.784 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.787 * * * [regime-changes]: Trying 2 branch expressions: (n k) 2.787 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 2.850 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 2.915 * * * [regime]: Found split indices: #