14.058 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.462 * * * [progress]: [2/2] Setting up program. 0.465 * [progress]: [Phase 2 of 3] Improving. 0.466 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.467 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.469 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.470 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.472 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.478 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.501 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.501 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.501 * * [progress]: iteration 1 / 4 0.501 * * * [progress]: picking best candidate 0.505 * * * * [pick]: Picked # 0.505 * * * [progress]: localizing error 0.519 * * * [progress]: generating rewritten candidates 0.519 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.523 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.532 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.537 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.558 * * * [progress]: generating series expansions 0.558 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.558 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.558 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.558 * [taylor]: Taking taylor expansion of 1.0 in k 0.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.558 * [taylor]: Taking taylor expansion of k in k 0.558 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.558 * [taylor]: Taking taylor expansion of 1.0 in k 0.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.558 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.558 * [taylor]: Taking taylor expansion of k in k 0.559 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.559 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.559 * [taylor]: Taking taylor expansion of 1.0 in k 0.559 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.559 * [taylor]: Taking taylor expansion of k in k 0.559 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.559 * [taylor]: Taking taylor expansion of 1.0 in k 0.559 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.559 * [taylor]: Taking taylor expansion of k in k 0.560 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.560 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.560 * [taylor]: Taking taylor expansion of 1.0 in k 0.560 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.560 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.561 * [taylor]: Taking taylor expansion of -1 in k 0.561 * [taylor]: Taking taylor expansion of k in k 0.561 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.561 * [taylor]: Taking taylor expansion of 1.0 in k 0.561 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.561 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.561 * [taylor]: Taking taylor expansion of -1 in k 0.561 * [taylor]: Taking taylor expansion of k in k 0.566 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.566 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.566 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.566 * [taylor]: Taking taylor expansion of 0.5 in k 0.566 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.566 * [taylor]: Taking taylor expansion of 1.0 in k 0.566 * [taylor]: Taking taylor expansion of k in k 0.566 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.566 * [taylor]: Taking taylor expansion of 2.0 in k 0.566 * [taylor]: Taking taylor expansion of (* n PI) in k 0.566 * [taylor]: Taking taylor expansion of n in k 0.566 * [taylor]: Taking taylor expansion of PI in k 0.566 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.566 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.566 * [taylor]: Taking taylor expansion of 0.5 in n 0.566 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.566 * [taylor]: Taking taylor expansion of 1.0 in n 0.566 * [taylor]: Taking taylor expansion of k in n 0.566 * [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 0.567 * [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 0.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.567 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.567 * [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 0.568 * [taylor]: Taking taylor expansion of (log n) in k 0.568 * [taylor]: Taking taylor expansion of n in k 0.568 * [taylor]: Taking taylor expansion of 0 in k 0.570 * [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 0.573 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.573 * [taylor]: Taking taylor expansion of 2.0 in n 0.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.573 * [taylor]: Taking taylor expansion of PI in n 0.573 * [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 0.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.574 * [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 0.578 * [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 0.579 * [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 (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 0.580 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.580 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.580 * [taylor]: Taking taylor expansion of 0.5 in k 0.580 * [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 0.582 * [taylor]: Taking taylor expansion of 0 in k 0.583 * [taylor]: Taking taylor expansion of 0 in k 0.583 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.583 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 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 0.583 * [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 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.584 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of n in n 0.584 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.584 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of n in n 0.585 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.585 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.585 * [taylor]: Taking taylor expansion of -2.0 in n 0.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.585 * [taylor]: Taking taylor expansion of n in n 0.585 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.585 * [taylor]: Taking taylor expansion of -2.0 in n 0.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.585 * [taylor]: Taking taylor expansion of n in n 0.586 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.586 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.586 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.586 * [taylor]: Taking taylor expansion of 1.0 in n 0.586 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.586 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.586 * [taylor]: Taking taylor expansion of k in n 0.586 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.586 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.586 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.586 * [taylor]: Taking taylor expansion of 0.5 in n 0.586 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.586 * [taylor]: Taking taylor expansion of 1.0 in n 0.586 * [taylor]: Taking taylor expansion of k in n 0.587 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.587 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.587 * [taylor]: Taking taylor expansion of 2.0 in n 0.587 * [taylor]: Taking taylor expansion of (* n PI) in n 0.587 * [taylor]: Taking taylor expansion of n in n 0.587 * [taylor]: Taking taylor expansion of PI in n 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.587 * [taylor]: Taking taylor expansion of 1.0 in k 0.587 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.587 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.587 * [taylor]: Taking taylor expansion of k in k 0.587 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.587 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.587 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.587 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.587 * [taylor]: Taking taylor expansion of 0.5 in k 0.587 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.587 * [taylor]: Taking taylor expansion of 1.0 in k 0.587 * [taylor]: Taking taylor expansion of k in k 0.587 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.587 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.587 * [taylor]: Taking taylor expansion of 2.0 in k 0.587 * [taylor]: Taking taylor expansion of (* n PI) in k 0.587 * [taylor]: Taking taylor expansion of n in k 0.587 * [taylor]: Taking taylor expansion of PI in k 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.587 * [taylor]: Taking taylor expansion of 1.0 in k 0.587 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.588 * [taylor]: Taking taylor expansion of k in k 0.588 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.588 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.588 * [taylor]: Taking taylor expansion of 0.5 in k 0.588 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.588 * [taylor]: Taking taylor expansion of 1.0 in k 0.588 * [taylor]: Taking taylor expansion of k in k 0.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.588 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.588 * [taylor]: Taking taylor expansion of 2.0 in k 0.588 * [taylor]: Taking taylor expansion of (* n PI) in k 0.588 * [taylor]: Taking taylor expansion of n in k 0.588 * [taylor]: Taking taylor expansion of PI in k 0.588 * [taylor]: Taking taylor expansion of 0 in n 0.589 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.589 * [taylor]: Taking taylor expansion of 1.0 in n 0.589 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.589 * [taylor]: Taking taylor expansion of NAN in n 0.589 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.589 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.589 * [taylor]: Taking taylor expansion of 0.5 in n 0.589 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.589 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.589 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.589 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.589 * [taylor]: Taking taylor expansion of 1.0 in n 0.589 * [taylor]: Taking taylor expansion of (log PI) in n 0.589 * [taylor]: Taking taylor expansion of PI in n 0.589 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.589 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.590 * [taylor]: Taking taylor expansion of 1.0 in n 0.590 * [taylor]: Taking taylor expansion of (log n) in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.590 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.590 * [taylor]: Taking taylor expansion of 1.0 in n 0.590 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.590 * [taylor]: Taking taylor expansion of 2.0 in n 0.594 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.594 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.594 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.594 * [taylor]: Taking taylor expansion of 0.5 in n 0.594 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.594 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.594 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.594 * [taylor]: Taking taylor expansion of 2.0 in n 0.594 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.594 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (log n) in n 0.594 * [taylor]: Taking taylor expansion of n in n 0.594 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (log PI) in n 0.594 * [taylor]: Taking taylor expansion of PI in n 0.595 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.595 * [taylor]: Taking taylor expansion of NAN in n 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.595 * [taylor]: Taking taylor expansion of 0.5 in n 0.595 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.595 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.595 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.595 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.595 * [taylor]: Taking taylor expansion of 2.0 in n 0.595 * [taylor]: Taking taylor expansion of (* n PI) in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.595 * [taylor]: Taking taylor expansion of PI in n 0.595 * [taylor]: Taking taylor expansion of NAN in n 0.595 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.595 * [taylor]: Taking taylor expansion of 0.5 in n 0.595 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.595 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.596 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.596 * [taylor]: Taking taylor expansion of 2.0 in n 0.596 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.596 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log n) in n 0.596 * [taylor]: Taking taylor expansion of n in n 0.596 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log PI) in n 0.596 * [taylor]: Taking taylor expansion of PI in n 0.607 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.607 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 0.607 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.607 * [taylor]: Taking taylor expansion of 0.125 in n 0.607 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.607 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.607 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.607 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.607 * [taylor]: Taking taylor expansion of 2.0 in n 0.607 * [taylor]: Taking taylor expansion of (* n PI) in n 0.607 * [taylor]: Taking taylor expansion of n in n 0.607 * [taylor]: Taking taylor expansion of PI in n 0.607 * [taylor]: Taking taylor expansion of NAN in n 0.607 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.608 * [taylor]: Taking taylor expansion of 0.5 in n 0.608 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.608 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.608 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.608 * [taylor]: Taking taylor expansion of 2.0 in n 0.608 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.608 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (log n) in n 0.608 * [taylor]: Taking taylor expansion of n in n 0.608 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (log PI) in n 0.608 * [taylor]: Taking taylor expansion of PI in n 0.609 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 0.609 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.609 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.609 * [taylor]: Taking taylor expansion of 0.5 in n 0.609 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.609 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.609 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.609 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.609 * [taylor]: Taking taylor expansion of 2.0 in n 0.609 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.609 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.609 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.609 * [taylor]: Taking taylor expansion of 1.0 in n 0.609 * [taylor]: Taking taylor expansion of (log n) in n 0.609 * [taylor]: Taking taylor expansion of n in n 0.610 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.610 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.610 * [taylor]: Taking taylor expansion of 1.0 in n 0.610 * [taylor]: Taking taylor expansion of (log PI) in n 0.610 * [taylor]: Taking taylor expansion of PI in n 0.611 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.611 * [taylor]: Taking taylor expansion of NAN in n 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.611 * [taylor]: Taking taylor expansion of 0.5 in n 0.611 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.611 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.611 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.611 * [taylor]: Taking taylor expansion of 2.0 in n 0.611 * [taylor]: Taking taylor expansion of (* n PI) in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.611 * [taylor]: Taking taylor expansion of PI in n 0.611 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.611 * [taylor]: Taking taylor expansion of NAN in n 0.611 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.611 * [taylor]: Taking taylor expansion of 0.5 in n 0.611 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.611 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.611 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.611 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.611 * [taylor]: Taking taylor expansion of 1.0 in n 0.611 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.611 * [taylor]: Taking taylor expansion of 2.0 in n 0.611 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.611 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.611 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.611 * [taylor]: Taking taylor expansion of 1.0 in n 0.611 * [taylor]: Taking taylor expansion of (log n) in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.611 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (log PI) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.626 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.626 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.626 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.626 * [taylor]: Taking taylor expansion of k in n 0.626 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.626 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.626 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.626 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.626 * [taylor]: Taking taylor expansion of 0.5 in n 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.626 * [taylor]: Taking taylor expansion of k in n 0.626 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.626 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.626 * [taylor]: Taking taylor expansion of 2.0 in n 0.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.626 * [taylor]: Taking taylor expansion of PI in n 0.626 * [taylor]: Taking taylor expansion of n in n 0.626 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.626 * [taylor]: Taking taylor expansion of 1.0 in k 0.626 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.626 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.626 * [taylor]: Taking taylor expansion of k in k 0.627 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.627 * [taylor]: Taking taylor expansion of 0.5 in k 0.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.627 * [taylor]: Taking taylor expansion of 1.0 in k 0.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.627 * [taylor]: Taking taylor expansion of k in k 0.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.627 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.627 * [taylor]: Taking taylor expansion of 2.0 in k 0.627 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.627 * [taylor]: Taking taylor expansion of PI in k 0.627 * [taylor]: Taking taylor expansion of n in k 0.627 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.627 * [taylor]: Taking taylor expansion of 1.0 in k 0.627 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.627 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.627 * [taylor]: Taking taylor expansion of k in k 0.627 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.627 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.627 * [taylor]: Taking taylor expansion of 0.5 in k 0.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.627 * [taylor]: Taking taylor expansion of 1.0 in k 0.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.627 * [taylor]: Taking taylor expansion of k in k 0.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.627 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.627 * [taylor]: Taking taylor expansion of 2.0 in k 0.627 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.627 * [taylor]: Taking taylor expansion of PI in k 0.627 * [taylor]: Taking taylor expansion of n in k 0.628 * [taylor]: Taking taylor expansion of 0 in n 0.628 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.628 * [taylor]: Taking taylor expansion of NAN in n 0.628 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.628 * [taylor]: Taking taylor expansion of 0.5 in n 0.628 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.628 * [taylor]: Taking taylor expansion of 2.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.628 * [taylor]: Taking taylor expansion of PI in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.630 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.630 * [taylor]: Taking taylor expansion of 1.0 in n 0.630 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.630 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.630 * [taylor]: Taking taylor expansion of NAN in n 0.630 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.630 * [taylor]: Taking taylor expansion of 0.5 in n 0.630 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.630 * [taylor]: Taking taylor expansion of 2.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.630 * [taylor]: Taking taylor expansion of 1.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.630 * [taylor]: Taking taylor expansion of k in n 0.632 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.632 * [taylor]: Taking taylor expansion of 1.0 in n 0.632 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.632 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.632 * [taylor]: Taking taylor expansion of NAN in n 0.632 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.632 * [taylor]: Taking taylor expansion of 0.5 in n 0.633 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.633 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.633 * [taylor]: Taking taylor expansion of 2.0 in n 0.633 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.633 * [taylor]: Taking taylor expansion of PI in n 0.633 * [taylor]: Taking taylor expansion of n in n 0.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.633 * [taylor]: Taking taylor expansion of 1.0 in n 0.633 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.633 * [taylor]: Taking taylor expansion of k in n 0.635 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.635 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.635 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.635 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.635 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.635 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.635 * [taylor]: Taking taylor expansion of 0.5 in n 0.635 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.635 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.635 * [taylor]: Taking taylor expansion of k in n 0.635 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.635 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.635 * [taylor]: Taking taylor expansion of -2.0 in n 0.635 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.635 * [taylor]: Taking taylor expansion of PI in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.635 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.635 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.635 * [taylor]: Taking taylor expansion of -1 in n 0.635 * [taylor]: Taking taylor expansion of k in n 0.636 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.636 * [taylor]: Taking taylor expansion of 1.0 in k 0.636 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.636 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.636 * [taylor]: Taking taylor expansion of 0.5 in k 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.636 * [taylor]: Taking taylor expansion of k in k 0.636 * [taylor]: Taking taylor expansion of 1.0 in k 0.636 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.636 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.636 * [taylor]: Taking taylor expansion of -2.0 in k 0.636 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.636 * [taylor]: Taking taylor expansion of PI in k 0.636 * [taylor]: Taking taylor expansion of n in k 0.636 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.636 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.636 * [taylor]: Taking taylor expansion of -1 in k 0.636 * [taylor]: Taking taylor expansion of k in k 0.636 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.636 * [taylor]: Taking taylor expansion of 1.0 in k 0.636 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.636 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.636 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.636 * [taylor]: Taking taylor expansion of 0.5 in k 0.636 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.636 * [taylor]: Taking taylor expansion of k in k 0.636 * [taylor]: Taking taylor expansion of 1.0 in k 0.636 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.637 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.637 * [taylor]: Taking taylor expansion of -2.0 in k 0.637 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.637 * [taylor]: Taking taylor expansion of PI in k 0.637 * [taylor]: Taking taylor expansion of n in k 0.637 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.637 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.637 * [taylor]: Taking taylor expansion of -1 in k 0.637 * [taylor]: Taking taylor expansion of k in k 0.637 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.637 * [taylor]: Taking taylor expansion of 1.0 in n 0.637 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.637 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.637 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.637 * [taylor]: Taking taylor expansion of 0.5 in n 0.637 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.637 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.637 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.637 * [taylor]: Taking taylor expansion of k in n 0.637 * [taylor]: Taking taylor expansion of 1.0 in n 0.637 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.637 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.637 * [taylor]: Taking taylor expansion of -2.0 in n 0.637 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.637 * [taylor]: Taking taylor expansion of PI in n 0.637 * [taylor]: Taking taylor expansion of n in n 0.638 * [taylor]: Taking taylor expansion of NAN in n 0.639 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.639 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.639 * [taylor]: Taking taylor expansion of 1.0 in n 0.639 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.639 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.639 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.639 * [taylor]: Taking taylor expansion of 0.5 in n 0.639 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.639 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.639 * [taylor]: Taking taylor expansion of k in n 0.639 * [taylor]: Taking taylor expansion of 1.0 in n 0.639 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.639 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.639 * [taylor]: Taking taylor expansion of -2.0 in n 0.639 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.639 * [taylor]: Taking taylor expansion of PI in n 0.639 * [taylor]: Taking taylor expansion of n in n 0.639 * [taylor]: Taking taylor expansion of NAN in n 0.641 * [taylor]: Taking taylor expansion of 0 in n 0.644 * [taylor]: Taking taylor expansion of 0 in n 0.645 * * * [progress]: simplifying candidates 0.649 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 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(- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 0.659 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 0.676 * * [simplify]: iteration 1 : 4233 enodes (cost 1364 ) 0.743 * * [simplify]: iteration 2 : 5001 enodes (cost 1350 ) 0.750 * [simplify]: Simplified to: (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt 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2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (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))))) (* 1.0 (+ (/ (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))) 0.751 * * * [progress]: adding candidates to table 1.031 * * [progress]: iteration 2 / 4 1.031 * * * [progress]: picking best candidate 1.079 * * * * [pick]: Picked # 1.079 * * * [progress]: localizing error 1.098 * * * [progress]: generating rewritten candidates 1.098 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.104 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.109 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.114 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.130 * * * [progress]: generating series expansions 1.130 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.130 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.130 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.130 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.130 * [taylor]: Taking taylor expansion of 0.5 in n 1.130 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.130 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.130 * [taylor]: Taking taylor expansion of 2.0 in n 1.130 * [taylor]: Taking taylor expansion of (* n PI) in n 1.130 * [taylor]: Taking taylor expansion of n in n 1.130 * [taylor]: Taking taylor expansion of PI in n 1.131 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.131 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.131 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.131 * [taylor]: Taking taylor expansion of 0.5 in n 1.131 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.131 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.131 * [taylor]: Taking taylor expansion of 2.0 in n 1.131 * [taylor]: Taking taylor expansion of (* n PI) in n 1.131 * [taylor]: Taking taylor expansion of n in n 1.131 * [taylor]: Taking taylor expansion of PI in n 1.138 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.138 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.138 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.138 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.138 * [taylor]: Taking taylor expansion of 0.5 in n 1.138 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.138 * [taylor]: Taking taylor expansion of 2.0 in n 1.138 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.138 * [taylor]: Taking taylor expansion of PI in n 1.138 * [taylor]: Taking taylor expansion of n in n 1.139 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.139 * [taylor]: Taking taylor expansion of 0.5 in n 1.139 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.139 * [taylor]: Taking taylor expansion of 2.0 in n 1.139 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.139 * [taylor]: Taking taylor expansion of PI in n 1.139 * [taylor]: Taking taylor expansion of n in n 1.146 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.146 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.147 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.147 * [taylor]: Taking taylor expansion of 0.5 in n 1.147 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.147 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.147 * [taylor]: Taking taylor expansion of -2.0 in n 1.147 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.147 * [taylor]: Taking taylor expansion of PI in n 1.147 * [taylor]: Taking taylor expansion of n in n 1.147 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.147 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.147 * [taylor]: Taking taylor expansion of 0.5 in n 1.147 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.147 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.147 * [taylor]: Taking taylor expansion of -2.0 in n 1.147 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.147 * [taylor]: Taking taylor expansion of PI in n 1.147 * [taylor]: Taking taylor expansion of n in n 1.154 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.154 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.154 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.154 * [taylor]: Taking taylor expansion of 2.0 in n 1.155 * [taylor]: Taking taylor expansion of (* n PI) in n 1.155 * [taylor]: Taking taylor expansion of n in n 1.155 * [taylor]: Taking taylor expansion of PI in n 1.155 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.155 * [taylor]: Taking taylor expansion of 2.0 in n 1.155 * [taylor]: Taking taylor expansion of (* n PI) in n 1.155 * [taylor]: Taking taylor expansion of n in n 1.155 * [taylor]: Taking taylor expansion of PI in n 1.156 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.156 * [taylor]: Taking taylor expansion of 2.0 in n 1.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.156 * [taylor]: Taking taylor expansion of PI in n 1.156 * [taylor]: Taking taylor expansion of n in n 1.156 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.156 * [taylor]: Taking taylor expansion of 2.0 in n 1.156 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.156 * [taylor]: Taking taylor expansion of PI in n 1.156 * [taylor]: Taking taylor expansion of n in n 1.157 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.157 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.157 * [taylor]: Taking taylor expansion of -2.0 in n 1.157 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.157 * [taylor]: Taking taylor expansion of PI in n 1.157 * [taylor]: Taking taylor expansion of n in n 1.157 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.157 * [taylor]: Taking taylor expansion of -2.0 in n 1.157 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.157 * [taylor]: Taking taylor expansion of PI in n 1.157 * [taylor]: Taking taylor expansion of n in n 1.158 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.158 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.158 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.158 * [taylor]: Taking taylor expansion of 2.0 in n 1.158 * [taylor]: Taking taylor expansion of (* n PI) in n 1.158 * [taylor]: Taking taylor expansion of n in n 1.158 * [taylor]: Taking taylor expansion of PI in n 1.158 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.158 * [taylor]: Taking taylor expansion of 2.0 in n 1.158 * [taylor]: Taking taylor expansion of (* n PI) in n 1.158 * [taylor]: Taking taylor expansion of n in n 1.158 * [taylor]: Taking taylor expansion of PI in n 1.159 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.159 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.159 * [taylor]: Taking taylor expansion of 2.0 in n 1.159 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.159 * [taylor]: Taking taylor expansion of PI in n 1.159 * [taylor]: Taking taylor expansion of n in n 1.159 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.159 * [taylor]: Taking taylor expansion of 2.0 in n 1.159 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.159 * [taylor]: Taking taylor expansion of PI in n 1.159 * [taylor]: Taking taylor expansion of n in n 1.162 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.162 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.162 * [taylor]: Taking taylor expansion of -2.0 in n 1.162 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.162 * [taylor]: Taking taylor expansion of PI in n 1.162 * [taylor]: Taking taylor expansion of n in n 1.162 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.162 * [taylor]: Taking taylor expansion of -2.0 in n 1.162 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.162 * [taylor]: Taking taylor expansion of PI in n 1.162 * [taylor]: Taking taylor expansion of n in n 1.163 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.163 * [approximate]: Taking taylor expansion of (* 1.0 (* (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 1.163 * [taylor]: Taking taylor expansion of (* 1.0 (* (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 1.164 * [taylor]: Taking taylor expansion of 1.0 in k 1.164 * [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 1.164 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.164 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.164 * [taylor]: Taking taylor expansion of k in k 1.164 * [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 1.164 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.164 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.164 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.164 * [taylor]: Taking taylor expansion of 0.5 in k 1.164 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.164 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.164 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.164 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.164 * [taylor]: Taking taylor expansion of 1.0 in k 1.164 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.164 * [taylor]: Taking taylor expansion of 2.0 in k 1.164 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.164 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.164 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.164 * [taylor]: Taking taylor expansion of 1.0 in k 1.164 * [taylor]: Taking taylor expansion of (log n) in k 1.164 * [taylor]: Taking taylor expansion of n in k 1.164 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.164 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.164 * [taylor]: Taking taylor expansion of 1.0 in k 1.164 * [taylor]: Taking taylor expansion of (log PI) in k 1.164 * [taylor]: Taking taylor expansion of PI in k 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.165 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.165 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.165 * [taylor]: Taking taylor expansion of 0.5 in k 1.165 * [taylor]: Taking taylor expansion of k in k 1.165 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.165 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.165 * [taylor]: Taking taylor expansion of 2.0 in k 1.165 * [taylor]: Taking taylor expansion of (* n PI) in k 1.165 * [taylor]: Taking taylor expansion of n in k 1.165 * [taylor]: Taking taylor expansion of PI in k 1.166 * [taylor]: Taking taylor expansion of (* 1.0 (* (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 1.166 * [taylor]: Taking taylor expansion of 1.0 in n 1.166 * [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 1.166 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.166 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.166 * [taylor]: Taking taylor expansion of k in n 1.166 * [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 1.166 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.166 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.166 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.166 * [taylor]: Taking taylor expansion of 0.5 in n 1.166 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.166 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.166 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.166 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.166 * [taylor]: Taking taylor expansion of 1.0 in n 1.166 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.166 * [taylor]: Taking taylor expansion of 2.0 in n 1.166 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.166 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.166 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.166 * [taylor]: Taking taylor expansion of 1.0 in n 1.166 * [taylor]: Taking taylor expansion of (log n) in n 1.166 * [taylor]: Taking taylor expansion of n in n 1.166 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.166 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.166 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.166 * [taylor]: Taking taylor expansion of 1.0 in n 1.166 * [taylor]: Taking taylor expansion of (log PI) in n 1.167 * [taylor]: Taking taylor expansion of PI in n 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.167 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.167 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.167 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.167 * [taylor]: Taking taylor expansion of 0.5 in n 1.167 * [taylor]: Taking taylor expansion of k in n 1.167 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.167 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.168 * [taylor]: Taking taylor expansion of 2.0 in n 1.168 * [taylor]: Taking taylor expansion of (* n PI) in n 1.168 * [taylor]: Taking taylor expansion of n in n 1.168 * [taylor]: Taking taylor expansion of PI in n 1.168 * [taylor]: Taking taylor expansion of (* 1.0 (* (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 1.168 * [taylor]: Taking taylor expansion of 1.0 in n 1.168 * [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 1.168 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.168 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.168 * [taylor]: Taking taylor expansion of k in n 1.168 * [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 1.168 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.168 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.168 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.168 * [taylor]: Taking taylor expansion of 0.5 in n 1.168 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.168 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.168 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.168 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.168 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.168 * [taylor]: Taking taylor expansion of 1.0 in n 1.168 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.168 * [taylor]: Taking taylor expansion of 2.0 in n 1.168 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.168 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.168 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.168 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.168 * [taylor]: Taking taylor expansion of 1.0 in n 1.169 * [taylor]: Taking taylor expansion of (log n) in n 1.169 * [taylor]: Taking taylor expansion of n in n 1.169 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.169 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.169 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.169 * [taylor]: Taking taylor expansion of 1.0 in n 1.169 * [taylor]: Taking taylor expansion of (log PI) in n 1.169 * [taylor]: Taking taylor expansion of PI in n 1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.170 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.170 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.170 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.170 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.170 * [taylor]: Taking taylor expansion of 0.5 in n 1.170 * [taylor]: Taking taylor expansion of k in n 1.170 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.170 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.170 * [taylor]: Taking taylor expansion of 2.0 in n 1.170 * [taylor]: Taking taylor expansion of (* n PI) in n 1.170 * [taylor]: Taking taylor expansion of n in n 1.170 * [taylor]: Taking taylor expansion of PI in n 1.171 * [taylor]: Taking taylor expansion of (* 1.0 (* (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 1.171 * [taylor]: Taking taylor expansion of 1.0 in k 1.171 * [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 1.171 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.171 * [taylor]: Taking taylor expansion of k in k 1.171 * [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 1.171 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.171 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.171 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.171 * [taylor]: Taking taylor expansion of 0.5 in k 1.171 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.171 * [taylor]: Taking taylor expansion of k in k 1.171 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.171 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.171 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.171 * [taylor]: Taking taylor expansion of 2.0 in k 1.171 * [taylor]: Taking taylor expansion of PI in k 1.172 * [taylor]: Taking taylor expansion of (log n) in k 1.172 * [taylor]: Taking taylor expansion of n in k 1.172 * [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 1.172 * [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 1.172 * [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 1.172 * [taylor]: Taking taylor expansion of 0.5 in k 1.172 * [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 1.172 * [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 1.172 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.172 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.172 * [taylor]: Taking taylor expansion of 1.0 in k 1.172 * [taylor]: Taking taylor expansion of (log PI) in k 1.172 * [taylor]: Taking taylor expansion of PI in k 1.172 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.172 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.172 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.172 * [taylor]: Taking taylor expansion of 1.0 in k 1.172 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.172 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.172 * [taylor]: Taking taylor expansion of 1.0 in k 1.172 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.173 * [taylor]: Taking taylor expansion of (log 1) in k 1.173 * [taylor]: Taking taylor expansion of 1 in k 1.173 * [taylor]: Taking taylor expansion of (log n) in k 1.173 * [taylor]: Taking taylor expansion of n in k 1.173 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.173 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.173 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.173 * [taylor]: Taking taylor expansion of 1.0 in k 1.173 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.173 * [taylor]: Taking taylor expansion of 2.0 in k 1.177 * [taylor]: Taking taylor expansion of 0 in k 1.185 * [taylor]: Taking taylor expansion of 0 in k 1.201 * [taylor]: Taking taylor expansion of 0 in k 1.225 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.225 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.225 * [taylor]: Taking taylor expansion of 1.0 in k 1.225 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.225 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.225 * [taylor]: Taking taylor expansion of k in k 1.225 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.225 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.225 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.225 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.225 * [taylor]: Taking taylor expansion of 0.5 in k 1.225 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.225 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.225 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.225 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.225 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.225 * [taylor]: Taking taylor expansion of 1.0 in k 1.225 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.225 * [taylor]: Taking taylor expansion of 2.0 in k 1.225 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.225 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.225 * [taylor]: Taking taylor expansion of 1.0 in k 1.225 * [taylor]: Taking taylor expansion of (log PI) in k 1.225 * [taylor]: Taking taylor expansion of PI in k 1.225 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.225 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.225 * [taylor]: Taking taylor expansion of 1.0 in k 1.225 * [taylor]: Taking taylor expansion of (log n) in k 1.225 * [taylor]: Taking taylor expansion of n in k 1.226 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.226 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.226 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.226 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.226 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.226 * [taylor]: Taking taylor expansion of 0.5 in k 1.226 * [taylor]: Taking taylor expansion of k in k 1.226 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.226 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.226 * [taylor]: Taking taylor expansion of 2.0 in k 1.226 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.227 * [taylor]: Taking taylor expansion of PI in k 1.227 * [taylor]: Taking taylor expansion of n in k 1.227 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.227 * [taylor]: Taking taylor expansion of 1.0 in n 1.227 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.227 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.227 * [taylor]: Taking taylor expansion of k in n 1.227 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.227 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.227 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.227 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.227 * [taylor]: Taking taylor expansion of 0.5 in n 1.227 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.227 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.227 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.227 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.227 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.227 * [taylor]: Taking taylor expansion of 1.0 in n 1.227 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.227 * [taylor]: Taking taylor expansion of 2.0 in n 1.227 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.227 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.227 * [taylor]: Taking taylor expansion of 1.0 in n 1.227 * [taylor]: Taking taylor expansion of (log PI) in n 1.227 * [taylor]: Taking taylor expansion of PI in n 1.227 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.227 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.227 * [taylor]: Taking taylor expansion of 1.0 in n 1.227 * [taylor]: Taking taylor expansion of (log n) in n 1.227 * [taylor]: Taking taylor expansion of n in n 1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.228 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.228 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.228 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.228 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.229 * [taylor]: Taking taylor expansion of 0.5 in n 1.229 * [taylor]: Taking taylor expansion of k in n 1.229 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.229 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.229 * [taylor]: Taking taylor expansion of 2.0 in n 1.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.229 * [taylor]: Taking taylor expansion of PI in n 1.229 * [taylor]: Taking taylor expansion of n in n 1.229 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.229 * [taylor]: Taking taylor expansion of 1.0 in n 1.229 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.229 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.229 * [taylor]: Taking taylor expansion of k in n 1.229 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.229 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.229 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.229 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.229 * [taylor]: Taking taylor expansion of 0.5 in n 1.229 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.229 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.229 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.229 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.229 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.229 * [taylor]: Taking taylor expansion of 1.0 in n 1.229 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.229 * [taylor]: Taking taylor expansion of 2.0 in n 1.229 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.229 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.229 * [taylor]: Taking taylor expansion of 1.0 in n 1.229 * [taylor]: Taking taylor expansion of (log PI) in n 1.230 * [taylor]: Taking taylor expansion of PI in n 1.230 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.230 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.230 * [taylor]: Taking taylor expansion of 1.0 in n 1.230 * [taylor]: Taking taylor expansion of (log n) in n 1.230 * [taylor]: Taking taylor expansion of n in n 1.231 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.231 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.231 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.231 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.231 * [taylor]: Taking taylor expansion of 0.5 in n 1.231 * [taylor]: Taking taylor expansion of k in n 1.231 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.231 * [taylor]: Taking taylor expansion of 2.0 in n 1.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.231 * [taylor]: Taking taylor expansion of PI in n 1.231 * [taylor]: Taking taylor expansion of n in n 1.232 * [taylor]: Taking taylor expansion of (* 1.0 (* (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 1.232 * [taylor]: Taking taylor expansion of 1.0 in k 1.232 * [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 1.232 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.232 * [taylor]: Taking taylor expansion of k in k 1.232 * [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 1.232 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.232 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.232 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.232 * [taylor]: Taking taylor expansion of 0.5 in k 1.232 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.232 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.232 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.232 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.232 * [taylor]: Taking taylor expansion of 2.0 in k 1.232 * [taylor]: Taking taylor expansion of PI in k 1.233 * [taylor]: Taking taylor expansion of (log n) in k 1.233 * [taylor]: Taking taylor expansion of n in k 1.233 * [taylor]: Taking taylor expansion of k in k 1.233 * [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 1.233 * [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 1.233 * [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 1.233 * [taylor]: Taking taylor expansion of 0.5 in k 1.233 * [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 1.233 * [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 1.233 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.233 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.233 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.233 * [taylor]: Taking taylor expansion of 1.0 in k 1.233 * [taylor]: Taking taylor expansion of (log PI) in k 1.233 * [taylor]: Taking taylor expansion of PI in k 1.233 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.233 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.233 * [taylor]: Taking taylor expansion of 1.0 in k 1.233 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.233 * [taylor]: Taking taylor expansion of 2.0 in k 1.233 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.233 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.233 * [taylor]: Taking taylor expansion of 1.0 in k 1.233 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.233 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.233 * [taylor]: Taking taylor expansion of 1.0 in k 1.233 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.234 * [taylor]: Taking taylor expansion of (log 1) in k 1.234 * [taylor]: Taking taylor expansion of 1 in k 1.234 * [taylor]: Taking taylor expansion of (log n) in k 1.234 * [taylor]: Taking taylor expansion of n in k 1.239 * [taylor]: Taking taylor expansion of 0 in k 1.247 * [taylor]: Taking taylor expansion of 0 in k 1.260 * [taylor]: Taking taylor expansion of 0 in k 1.269 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 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 1.270 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 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 1.270 * [taylor]: Taking taylor expansion of 1.0 in k 1.270 * [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 1.270 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.270 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.270 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.270 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.270 * [taylor]: Taking taylor expansion of -1 in k 1.270 * [taylor]: Taking taylor expansion of k in k 1.270 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.270 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.270 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.270 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.270 * [taylor]: Taking taylor expansion of -0.5 in k 1.270 * [taylor]: Taking taylor expansion of k in k 1.270 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.270 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.270 * [taylor]: Taking taylor expansion of -2.0 in k 1.270 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.270 * [taylor]: Taking taylor expansion of PI in k 1.270 * [taylor]: Taking taylor expansion of n in k 1.270 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.270 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.270 * [taylor]: Taking taylor expansion of 0.5 in k 1.270 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.270 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.271 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.271 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.271 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.271 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.271 * [taylor]: Taking taylor expansion of 1.0 in k 1.271 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.271 * [taylor]: Taking taylor expansion of -2.0 in k 1.271 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.271 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.271 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.271 * [taylor]: Taking taylor expansion of 1.0 in k 1.271 * [taylor]: Taking taylor expansion of (log PI) in k 1.271 * [taylor]: Taking taylor expansion of PI in k 1.271 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.271 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.271 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.271 * [taylor]: Taking taylor expansion of 1.0 in k 1.271 * [taylor]: Taking taylor expansion of (log n) in k 1.271 * [taylor]: Taking taylor expansion of n in k 1.272 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 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 1.272 * [taylor]: Taking taylor expansion of 1.0 in n 1.272 * [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 1.272 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.272 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.272 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.272 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.272 * [taylor]: Taking taylor expansion of -1 in n 1.272 * [taylor]: Taking taylor expansion of k in n 1.272 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.272 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.272 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.272 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.272 * [taylor]: Taking taylor expansion of -0.5 in n 1.272 * [taylor]: Taking taylor expansion of k in n 1.272 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.272 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.272 * [taylor]: Taking taylor expansion of -2.0 in n 1.272 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.272 * [taylor]: Taking taylor expansion of PI in n 1.272 * [taylor]: Taking taylor expansion of n in n 1.273 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.273 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.273 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.273 * [taylor]: Taking taylor expansion of 0.5 in n 1.273 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.273 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.273 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.273 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.273 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.273 * [taylor]: Taking taylor expansion of 1.0 in n 1.273 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.273 * [taylor]: Taking taylor expansion of -2.0 in n 1.273 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.273 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.273 * [taylor]: Taking taylor expansion of 1.0 in n 1.273 * [taylor]: Taking taylor expansion of (log PI) in n 1.273 * [taylor]: Taking taylor expansion of PI in n 1.273 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.273 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.273 * [taylor]: Taking taylor expansion of 1.0 in n 1.273 * [taylor]: Taking taylor expansion of (log n) in n 1.273 * [taylor]: Taking taylor expansion of n in n 1.274 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 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 1.274 * [taylor]: Taking taylor expansion of 1.0 in n 1.274 * [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 1.274 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.274 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.274 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.274 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.274 * [taylor]: Taking taylor expansion of -1 in n 1.274 * [taylor]: Taking taylor expansion of k in n 1.274 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.275 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.275 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.275 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.275 * [taylor]: Taking taylor expansion of -0.5 in n 1.275 * [taylor]: Taking taylor expansion of k in n 1.275 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.275 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.275 * [taylor]: Taking taylor expansion of -2.0 in n 1.275 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.275 * [taylor]: Taking taylor expansion of PI in n 1.275 * [taylor]: Taking taylor expansion of n in n 1.275 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.275 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.275 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.275 * [taylor]: Taking taylor expansion of 0.5 in n 1.275 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.275 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.275 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.275 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.275 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.275 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.275 * [taylor]: Taking taylor expansion of 1.0 in n 1.275 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.275 * [taylor]: Taking taylor expansion of -2.0 in n 1.275 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.275 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.275 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.275 * [taylor]: Taking taylor expansion of 1.0 in n 1.275 * [taylor]: Taking taylor expansion of (log PI) in n 1.276 * [taylor]: Taking taylor expansion of PI in n 1.276 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.276 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.276 * [taylor]: Taking taylor expansion of 1.0 in n 1.276 * [taylor]: Taking taylor expansion of (log n) in n 1.276 * [taylor]: Taking taylor expansion of n in n 1.277 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 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 1.277 * [taylor]: Taking taylor expansion of 1.0 in k 1.277 * [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 1.277 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.277 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.277 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.277 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.278 * [taylor]: Taking taylor expansion of -0.5 in k 1.278 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.278 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.278 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.278 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.278 * [taylor]: Taking taylor expansion of -2.0 in k 1.278 * [taylor]: Taking taylor expansion of PI in k 1.278 * [taylor]: Taking taylor expansion of (log n) in k 1.278 * [taylor]: Taking taylor expansion of n in k 1.278 * [taylor]: Taking taylor expansion of k in k 1.278 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.278 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.278 * [taylor]: Taking taylor expansion of -1 in k 1.278 * [taylor]: Taking taylor expansion of k in k 1.278 * [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 1.278 * [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 1.278 * [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 1.278 * [taylor]: Taking taylor expansion of 0.5 in k 1.278 * [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 1.278 * [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 1.278 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.278 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.278 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.278 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.278 * [taylor]: Taking taylor expansion of 1.0 in k 1.279 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.279 * [taylor]: Taking taylor expansion of -2.0 in k 1.279 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.279 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.279 * [taylor]: Taking taylor expansion of 1.0 in k 1.279 * [taylor]: Taking taylor expansion of (log PI) in k 1.279 * [taylor]: Taking taylor expansion of PI in k 1.279 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.279 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.279 * [taylor]: Taking taylor expansion of 1.0 in k 1.279 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.279 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.279 * [taylor]: Taking taylor expansion of 1.0 in k 1.279 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.279 * [taylor]: Taking taylor expansion of (log 1) in k 1.279 * [taylor]: Taking taylor expansion of 1 in k 1.279 * [taylor]: Taking taylor expansion of (log n) in k 1.279 * [taylor]: Taking taylor expansion of n in k 1.284 * [taylor]: Taking taylor expansion of 0 in k 1.293 * [taylor]: Taking taylor expansion of 0 in k 1.304 * [taylor]: Taking taylor expansion of 0 in k 1.306 * * * [progress]: simplifying candidates 1.308 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 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[simplify]: iteration 0 : 939 enodes (cost 1410 ) 1.333 * * [simplify]: iteration 1 : 4081 enodes (cost 1188 ) 1.400 * * [simplify]: iteration 2 : 5002 enodes (cost 1188 ) 1.407 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 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(* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) 1.407 * * * [progress]: adding candidates to table 1.574 * * [progress]: iteration 3 / 4 1.574 * * * [progress]: picking best candidate 1.617 * * * * [pick]: Picked # 1.617 * * * [progress]: localizing error 1.636 * * * [progress]: generating rewritten candidates 1.636 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.642 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.652 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.656 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.668 * * * [progress]: generating series expansions 1.668 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.668 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.668 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.668 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.668 * [taylor]: Taking taylor expansion of 0.5 in n 1.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.668 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.668 * [taylor]: Taking taylor expansion of 2.0 in n 1.669 * [taylor]: Taking taylor expansion of (* n PI) in n 1.669 * [taylor]: Taking taylor expansion of n in n 1.669 * [taylor]: Taking taylor expansion of PI in n 1.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.669 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.669 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.669 * [taylor]: Taking taylor expansion of 0.5 in n 1.669 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.669 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.669 * [taylor]: Taking taylor expansion of 2.0 in n 1.669 * [taylor]: Taking taylor expansion of (* n PI) in n 1.669 * [taylor]: Taking taylor expansion of n in n 1.669 * [taylor]: Taking taylor expansion of PI in n 1.676 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.676 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.676 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.676 * [taylor]: Taking taylor expansion of 0.5 in n 1.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.677 * [taylor]: Taking taylor expansion of 2.0 in n 1.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.677 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.677 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.677 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.677 * [taylor]: Taking taylor expansion of 0.5 in n 1.677 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.677 * [taylor]: Taking taylor expansion of 2.0 in n 1.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.684 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.684 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.684 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.684 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.684 * [taylor]: Taking taylor expansion of 0.5 in n 1.684 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.684 * [taylor]: Taking taylor expansion of -2.0 in n 1.685 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.685 * [taylor]: Taking taylor expansion of PI in n 1.685 * [taylor]: Taking taylor expansion of n in n 1.685 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.685 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.685 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.685 * [taylor]: Taking taylor expansion of 0.5 in n 1.685 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.685 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.685 * [taylor]: Taking taylor expansion of -2.0 in n 1.685 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.685 * [taylor]: Taking taylor expansion of PI in n 1.685 * [taylor]: Taking taylor expansion of n in n 1.692 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.693 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in (k n) around 0 1.693 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 1.693 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.693 * [taylor]: Taking taylor expansion of k in n 1.693 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 1.693 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.693 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.693 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.693 * [taylor]: Taking taylor expansion of 0.5 in n 1.693 * [taylor]: Taking taylor expansion of k in n 1.693 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.693 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.693 * [taylor]: Taking taylor expansion of 2.0 in n 1.693 * [taylor]: Taking taylor expansion of (* n PI) in n 1.693 * [taylor]: Taking taylor expansion of n in n 1.693 * [taylor]: Taking taylor expansion of PI in n 1.693 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 1.693 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 1.693 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.693 * [taylor]: Taking taylor expansion of 0.5 in n 1.693 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.693 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.693 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.693 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.693 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.693 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.693 * [taylor]: Taking taylor expansion of 1.0 in n 1.693 * [taylor]: Taking taylor expansion of (log PI) in n 1.693 * [taylor]: Taking taylor expansion of PI in n 1.693 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.693 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.694 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.694 * [taylor]: Taking taylor expansion of 1.0 in n 1.694 * [taylor]: Taking taylor expansion of (log n) in n 1.694 * [taylor]: Taking taylor expansion of n in n 1.694 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.694 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.694 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.694 * [taylor]: Taking taylor expansion of 1.0 in n 1.694 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.694 * [taylor]: Taking taylor expansion of 2.0 in n 1.695 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in k 1.695 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.695 * [taylor]: Taking taylor expansion of k in k 1.695 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 1.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.695 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.695 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.695 * [taylor]: Taking taylor expansion of 0.5 in k 1.695 * [taylor]: Taking taylor expansion of k in k 1.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.695 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.695 * [taylor]: Taking taylor expansion of 2.0 in k 1.695 * [taylor]: Taking taylor expansion of (* n PI) in k 1.695 * [taylor]: Taking taylor expansion of n in k 1.695 * [taylor]: Taking taylor expansion of PI in k 1.696 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in k 1.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in k 1.696 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.696 * [taylor]: Taking taylor expansion of 0.5 in k 1.696 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.696 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.696 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.696 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.696 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.696 * [taylor]: Taking taylor expansion of 1.0 in k 1.696 * [taylor]: Taking taylor expansion of (log PI) in k 1.696 * [taylor]: Taking taylor expansion of PI in k 1.696 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.696 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.696 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.696 * [taylor]: Taking taylor expansion of 1.0 in k 1.696 * [taylor]: Taking taylor expansion of (log n) in k 1.696 * [taylor]: Taking taylor expansion of n in k 1.696 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.696 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.696 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.696 * [taylor]: Taking taylor expansion of 1.0 in k 1.696 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.696 * [taylor]: Taking taylor expansion of 2.0 in k 1.697 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in k 1.697 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.697 * [taylor]: Taking taylor expansion of k in k 1.697 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 1.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.697 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.697 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.697 * [taylor]: Taking taylor expansion of 0.5 in k 1.697 * [taylor]: Taking taylor expansion of k in k 1.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.697 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.698 * [taylor]: Taking taylor expansion of 2.0 in k 1.698 * [taylor]: Taking taylor expansion of (* n PI) in k 1.698 * [taylor]: Taking taylor expansion of n in k 1.698 * [taylor]: Taking taylor expansion of PI in k 1.698 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in k 1.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in k 1.698 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.698 * [taylor]: Taking taylor expansion of 0.5 in k 1.698 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.698 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.698 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.698 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.698 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.698 * [taylor]: Taking taylor expansion of 1.0 in k 1.698 * [taylor]: Taking taylor expansion of (log PI) in k 1.698 * [taylor]: Taking taylor expansion of PI in k 1.698 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.698 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.698 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.698 * [taylor]: Taking taylor expansion of 1.0 in k 1.698 * [taylor]: Taking taylor expansion of (log n) in k 1.698 * [taylor]: Taking taylor expansion of n in k 1.698 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.698 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.698 * [taylor]: Taking taylor expansion of 1.0 in k 1.698 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.698 * [taylor]: Taking taylor expansion of 2.0 in k 1.700 * [taylor]: Taking taylor expansion of 0 in n 1.703 * [taylor]: Taking taylor expansion of (* NAN (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 1.703 * [taylor]: Taking taylor expansion of NAN in n 1.704 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 1.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 1.704 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.704 * [taylor]: Taking taylor expansion of 0.5 in n 1.704 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.704 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.704 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.704 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.704 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.704 * [taylor]: Taking taylor expansion of 1.0 in n 1.704 * [taylor]: Taking taylor expansion of (log PI) in n 1.704 * [taylor]: Taking taylor expansion of PI in n 1.704 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.704 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.704 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.704 * [taylor]: Taking taylor expansion of 1.0 in n 1.704 * [taylor]: Taking taylor expansion of (log n) in n 1.704 * [taylor]: Taking taylor expansion of n in n 1.704 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.704 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.704 * [taylor]: Taking taylor expansion of 1.0 in n 1.704 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.704 * [taylor]: Taking taylor expansion of 2.0 in n 1.711 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (log (* 2.0 (* n PI)))))) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow NAN 3))) in n 1.711 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (log (* 2.0 (* n PI)))))) in n 1.711 * [taylor]: Taking taylor expansion of 0.5 in n 1.711 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (log (* 2.0 (* n PI))))) in n 1.711 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) in n 1.711 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))))) in n 1.711 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.711 * [taylor]: Taking taylor expansion of 0.5 in n 1.711 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.711 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.711 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.711 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.711 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.711 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.711 * [taylor]: Taking taylor expansion of 1.0 in n 1.711 * [taylor]: Taking taylor expansion of (log PI) in n 1.711 * [taylor]: Taking taylor expansion of PI in n 1.711 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.711 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.711 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.712 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.712 * [taylor]: Taking taylor expansion of 1.0 in n 1.712 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.712 * [taylor]: Taking taylor expansion of 2.0 in n 1.712 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.712 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.712 * [taylor]: Taking taylor expansion of 1.0 in n 1.712 * [taylor]: Taking taylor expansion of (log n) in n 1.712 * [taylor]: Taking taylor expansion of n in n 1.713 * [taylor]: Taking taylor expansion of (* NAN (log (* 2.0 (* n PI)))) in n 1.713 * [taylor]: Taking taylor expansion of NAN in n 1.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.713 * [taylor]: Taking taylor expansion of 2.0 in n 1.713 * [taylor]: Taking taylor expansion of (* n PI) in n 1.713 * [taylor]: Taking taylor expansion of n in n 1.713 * [taylor]: Taking taylor expansion of PI in n 1.713 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow NAN 3)) in n 1.713 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 1.713 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 1.713 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.713 * [taylor]: Taking taylor expansion of 0.5 in n 1.713 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.713 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.713 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.713 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.713 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.713 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.713 * [taylor]: Taking taylor expansion of 1.0 in n 1.713 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.713 * [taylor]: Taking taylor expansion of 2.0 in n 1.713 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.713 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.713 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.714 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.714 * [taylor]: Taking taylor expansion of 1.0 in n 1.714 * [taylor]: Taking taylor expansion of (log n) in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.714 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.714 * [taylor]: Taking taylor expansion of 1.0 in n 1.714 * [taylor]: Taking taylor expansion of (log PI) in n 1.714 * [taylor]: Taking taylor expansion of PI in n 1.715 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.715 * [taylor]: Taking taylor expansion of NAN in n 1.727 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 5) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (+ (* 0.125 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2)))) (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI)))))))) in n 1.727 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 1.727 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.727 * [taylor]: Taking taylor expansion of NAN in n 1.727 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 1.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 1.727 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.727 * [taylor]: Taking taylor expansion of 0.5 in n 1.727 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.727 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.727 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.727 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.727 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.727 * [taylor]: Taking taylor expansion of 1.0 in n 1.728 * [taylor]: Taking taylor expansion of (log PI) in n 1.728 * [taylor]: Taking taylor expansion of PI in n 1.728 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.728 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.728 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.728 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.728 * [taylor]: Taking taylor expansion of 1.0 in n 1.728 * [taylor]: Taking taylor expansion of (log n) in n 1.728 * [taylor]: Taking taylor expansion of n in n 1.728 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.728 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.728 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.728 * [taylor]: Taking taylor expansion of 1.0 in n 1.728 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.728 * [taylor]: Taking taylor expansion of 2.0 in n 1.729 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2)))) (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI))))))) in n 1.729 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2)))) in n 1.729 * [taylor]: Taking taylor expansion of 0.125 in n 1.729 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* NAN (pow (log (* 2.0 (* n PI))) 2))) in n 1.729 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) in n 1.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))))) in n 1.729 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.729 * [taylor]: Taking taylor expansion of 0.5 in n 1.729 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.729 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.729 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.729 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.729 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.729 * [taylor]: Taking taylor expansion of 1.0 in n 1.729 * [taylor]: Taking taylor expansion of (log PI) in n 1.729 * [taylor]: Taking taylor expansion of PI in n 1.729 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.729 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.729 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.729 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.730 * [taylor]: Taking taylor expansion of 1.0 in n 1.730 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.730 * [taylor]: Taking taylor expansion of 2.0 in n 1.730 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.730 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.730 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.730 * [taylor]: Taking taylor expansion of 1.0 in n 1.730 * [taylor]: Taking taylor expansion of (log n) in n 1.730 * [taylor]: Taking taylor expansion of n in n 1.731 * [taylor]: Taking taylor expansion of (* NAN (pow (log (* 2.0 (* n PI))) 2)) in n 1.731 * [taylor]: Taking taylor expansion of NAN in n 1.731 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.731 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.731 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.731 * [taylor]: Taking taylor expansion of 2.0 in n 1.731 * [taylor]: Taking taylor expansion of (* n PI) in n 1.731 * [taylor]: Taking taylor expansion of n in n 1.731 * [taylor]: Taking taylor expansion of PI in n 1.731 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI)))))) in n 1.731 * [taylor]: Taking taylor expansion of 0.5 in n 1.731 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) (* (pow NAN 3) (log (* 2.0 (* n PI))))) in n 1.731 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5) in n 1.731 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))))) in n 1.731 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 1.731 * [taylor]: Taking taylor expansion of 0.5 in n 1.731 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 1.731 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 1.731 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 1.731 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.731 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.731 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.731 * [taylor]: Taking taylor expansion of 1.0 in n 1.731 * [taylor]: Taking taylor expansion of (log PI) in n 1.731 * [taylor]: Taking taylor expansion of PI in n 1.732 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 1.732 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.732 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.732 * [taylor]: Taking taylor expansion of 1.0 in n 1.732 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.732 * [taylor]: Taking taylor expansion of 2.0 in n 1.732 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.732 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.732 * [taylor]: Taking taylor expansion of 1.0 in n 1.732 * [taylor]: Taking taylor expansion of (log n) in n 1.732 * [taylor]: Taking taylor expansion of n in n 1.733 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log (* 2.0 (* n PI)))) in n 1.733 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.733 * [taylor]: Taking taylor expansion of NAN in n 1.733 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.733 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.733 * [taylor]: Taking taylor expansion of 2.0 in n 1.733 * [taylor]: Taking taylor expansion of (* n PI) in n 1.733 * [taylor]: Taking taylor expansion of n in n 1.733 * [taylor]: Taking taylor expansion of PI in n 1.748 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in (k n) around 0 1.748 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.748 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.748 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.748 * [taylor]: Taking taylor expansion of k in n 1.748 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.748 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 1.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 1.748 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 1.748 * [taylor]: Taking taylor expansion of 0.5 in n 1.748 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 1.748 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 1.748 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.748 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.748 * [taylor]: Taking taylor expansion of 1.0 in n 1.748 * [taylor]: Taking taylor expansion of (log n) in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.748 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.748 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.748 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.748 * [taylor]: Taking taylor expansion of 1.0 in n 1.748 * [taylor]: Taking taylor expansion of (log PI) in n 1.748 * [taylor]: Taking taylor expansion of PI in n 1.748 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.748 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.748 * [taylor]: Taking taylor expansion of 1.0 in n 1.748 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.748 * [taylor]: Taking taylor expansion of 2.0 in n 1.749 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.749 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.749 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.749 * [taylor]: Taking taylor expansion of 0.5 in n 1.749 * [taylor]: Taking taylor expansion of k in n 1.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.749 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.749 * [taylor]: Taking taylor expansion of 2.0 in n 1.750 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.750 * [taylor]: Taking taylor expansion of PI in n 1.750 * [taylor]: Taking taylor expansion of n in n 1.750 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.750 * [taylor]: Taking taylor expansion of k in k 1.750 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.750 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 1.750 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 1.750 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 1.750 * [taylor]: Taking taylor expansion of 0.5 in k 1.750 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 1.750 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 1.750 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.750 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.750 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.750 * [taylor]: Taking taylor expansion of 1.0 in k 1.750 * [taylor]: Taking taylor expansion of (log n) in k 1.750 * [taylor]: Taking taylor expansion of n in k 1.750 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.750 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.750 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.750 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.750 * [taylor]: Taking taylor expansion of 1.0 in k 1.750 * [taylor]: Taking taylor expansion of (log PI) in k 1.750 * [taylor]: Taking taylor expansion of PI in k 1.750 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.750 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.750 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.750 * [taylor]: Taking taylor expansion of 1.0 in k 1.750 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.750 * [taylor]: Taking taylor expansion of 2.0 in k 1.751 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.751 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.751 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.751 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.751 * [taylor]: Taking taylor expansion of 0.5 in k 1.751 * [taylor]: Taking taylor expansion of k in k 1.751 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.751 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.751 * [taylor]: Taking taylor expansion of 2.0 in k 1.751 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.751 * [taylor]: Taking taylor expansion of PI in k 1.752 * [taylor]: Taking taylor expansion of n in k 1.752 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.752 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.752 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.752 * [taylor]: Taking taylor expansion of k in k 1.752 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.752 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 1.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 1.752 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 1.752 * [taylor]: Taking taylor expansion of 0.5 in k 1.752 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 1.752 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 1.752 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.752 * [taylor]: Taking taylor expansion of 1.0 in k 1.752 * [taylor]: Taking taylor expansion of (log n) in k 1.752 * [taylor]: Taking taylor expansion of n in k 1.752 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.752 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.752 * [taylor]: Taking taylor expansion of 1.0 in k 1.752 * [taylor]: Taking taylor expansion of (log PI) in k 1.752 * [taylor]: Taking taylor expansion of PI in k 1.752 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.752 * [taylor]: Taking taylor expansion of 1.0 in k 1.753 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.753 * [taylor]: Taking taylor expansion of 2.0 in k 1.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.753 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.753 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.753 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.753 * [taylor]: Taking taylor expansion of 0.5 in k 1.753 * [taylor]: Taking taylor expansion of k in k 1.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.754 * [taylor]: Taking taylor expansion of 2.0 in k 1.754 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.754 * [taylor]: Taking taylor expansion of PI in k 1.754 * [taylor]: Taking taylor expansion of n in k 1.754 * [taylor]: Taking taylor expansion of 0 in n 1.759 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (* NAN (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 1.759 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in n 1.759 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in n 1.759 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in n 1.759 * [taylor]: Taking taylor expansion of 0.5 in n 1.759 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in n 1.759 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in n 1.759 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.759 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.759 * [taylor]: Taking taylor expansion of 1.0 in n 1.759 * [taylor]: Taking taylor expansion of (log n) in n 1.759 * [taylor]: Taking taylor expansion of n in n 1.759 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.759 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.759 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.759 * [taylor]: Taking taylor expansion of 1.0 in n 1.759 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.759 * [taylor]: Taking taylor expansion of 2.0 in n 1.759 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.759 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.759 * [taylor]: Taking taylor expansion of 1.0 in n 1.759 * [taylor]: Taking taylor expansion of (log PI) in n 1.759 * [taylor]: Taking taylor expansion of PI in n 1.760 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 1.760 * [taylor]: Taking taylor expansion of NAN in n 1.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 1.760 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 1.760 * [taylor]: Taking taylor expansion of 0.5 in n 1.760 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 1.760 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.760 * [taylor]: Taking taylor expansion of 2.0 in n 1.760 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.760 * [taylor]: Taking taylor expansion of PI in n 1.760 * [taylor]: Taking taylor expansion of n in n 1.760 * [taylor]: Taking taylor expansion of k in n 1.765 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) in n 1.765 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 1.765 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.765 * [taylor]: Taking taylor expansion of NAN in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 1.765 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 1.765 * [taylor]: Taking taylor expansion of 0.5 in n 1.765 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 1.765 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.765 * [taylor]: Taking taylor expansion of 2.0 in n 1.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.765 * [taylor]: Taking taylor expansion of PI in n 1.765 * [taylor]: Taking taylor expansion of n in n 1.765 * [taylor]: Taking taylor expansion of k in n 1.766 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 1.766 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 1.766 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 1.766 * [taylor]: Taking taylor expansion of 0.5 in n 1.766 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 1.766 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 1.766 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.766 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.766 * [taylor]: Taking taylor expansion of 1.0 in n 1.766 * [taylor]: Taking taylor expansion of (log n) in n 1.766 * [taylor]: Taking taylor expansion of n in n 1.766 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.766 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.766 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.766 * [taylor]: Taking taylor expansion of 1.0 in n 1.766 * [taylor]: Taking taylor expansion of (log PI) in n 1.766 * [taylor]: Taking taylor expansion of PI in n 1.766 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.766 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.766 * [taylor]: Taking taylor expansion of 1.0 in n 1.766 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.766 * [taylor]: Taking taylor expansion of 2.0 in n 1.775 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (* (pow NAN 5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 1.776 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in n 1.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in n 1.776 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in n 1.776 * [taylor]: Taking taylor expansion of 0.5 in n 1.776 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in n 1.776 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in n 1.776 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.776 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.776 * [taylor]: Taking taylor expansion of 1.0 in n 1.776 * [taylor]: Taking taylor expansion of (log n) in n 1.776 * [taylor]: Taking taylor expansion of n in n 1.776 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.776 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.776 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.776 * [taylor]: Taking taylor expansion of 1.0 in n 1.776 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.776 * [taylor]: Taking taylor expansion of 2.0 in n 1.776 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.776 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.776 * [taylor]: Taking taylor expansion of 1.0 in n 1.776 * [taylor]: Taking taylor expansion of (log PI) in n 1.776 * [taylor]: Taking taylor expansion of PI in n 1.777 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 1.778 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.778 * [taylor]: Taking taylor expansion of NAN in n 1.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 1.778 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 1.778 * [taylor]: Taking taylor expansion of 0.5 in n 1.778 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 1.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.778 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.778 * [taylor]: Taking taylor expansion of 2.0 in n 1.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.778 * [taylor]: Taking taylor expansion of PI in n 1.778 * [taylor]: Taking taylor expansion of n in n 1.778 * [taylor]: Taking taylor expansion of k in n 1.781 * [approximate]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in (k n) around 0 1.781 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 1.781 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.781 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.781 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.781 * [taylor]: Taking taylor expansion of -1 in n 1.781 * [taylor]: Taking taylor expansion of k in n 1.781 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.781 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.781 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.781 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.781 * [taylor]: Taking taylor expansion of -0.5 in n 1.781 * [taylor]: Taking taylor expansion of k in n 1.781 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.781 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.781 * [taylor]: Taking taylor expansion of -2.0 in n 1.781 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.781 * [taylor]: Taking taylor expansion of PI in n 1.781 * [taylor]: Taking taylor expansion of n in n 1.781 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 1.781 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 1.781 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 1.781 * [taylor]: Taking taylor expansion of 0.5 in n 1.781 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 1.782 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 1.782 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.782 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.782 * [taylor]: Taking taylor expansion of 1.0 in n 1.782 * [taylor]: Taking taylor expansion of (log n) in n 1.782 * [taylor]: Taking taylor expansion of n in n 1.782 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.782 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.782 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.782 * [taylor]: Taking taylor expansion of 1.0 in n 1.782 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.782 * [taylor]: Taking taylor expansion of -2.0 in n 1.782 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.782 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.782 * [taylor]: Taking taylor expansion of 1.0 in n 1.782 * [taylor]: Taking taylor expansion of (log PI) in n 1.782 * [taylor]: Taking taylor expansion of PI in n 1.783 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 1.783 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.783 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.783 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.783 * [taylor]: Taking taylor expansion of -1 in k 1.783 * [taylor]: Taking taylor expansion of k in k 1.783 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.783 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.783 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.783 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.783 * [taylor]: Taking taylor expansion of -0.5 in k 1.783 * [taylor]: Taking taylor expansion of k in k 1.783 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.783 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.783 * [taylor]: Taking taylor expansion of -2.0 in k 1.783 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.783 * [taylor]: Taking taylor expansion of PI in k 1.783 * [taylor]: Taking taylor expansion of n in k 1.783 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 1.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 1.784 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 1.784 * [taylor]: Taking taylor expansion of 0.5 in k 1.784 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 1.784 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 1.784 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.784 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.784 * [taylor]: Taking taylor expansion of 1.0 in k 1.784 * [taylor]: Taking taylor expansion of (log n) in k 1.784 * [taylor]: Taking taylor expansion of n in k 1.784 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.784 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.784 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.784 * [taylor]: Taking taylor expansion of 1.0 in k 1.784 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.784 * [taylor]: Taking taylor expansion of -2.0 in k 1.784 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.784 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.784 * [taylor]: Taking taylor expansion of 1.0 in k 1.784 * [taylor]: Taking taylor expansion of (log PI) in k 1.784 * [taylor]: Taking taylor expansion of PI in k 1.785 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 1.785 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.785 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.785 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.785 * [taylor]: Taking taylor expansion of -1 in k 1.785 * [taylor]: Taking taylor expansion of k in k 1.785 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.785 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.785 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.785 * [taylor]: Taking taylor expansion of -0.5 in k 1.785 * [taylor]: Taking taylor expansion of k in k 1.785 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.785 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.785 * [taylor]: Taking taylor expansion of -2.0 in k 1.785 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.785 * [taylor]: Taking taylor expansion of PI in k 1.785 * [taylor]: Taking taylor expansion of n in k 1.785 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 1.785 * [taylor]: Taking taylor expansion of 0.5 in k 1.785 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 1.785 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 1.786 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.786 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.786 * [taylor]: Taking taylor expansion of 1.0 in k 1.786 * [taylor]: Taking taylor expansion of (log n) in k 1.786 * [taylor]: Taking taylor expansion of n in k 1.786 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.786 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.786 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.786 * [taylor]: Taking taylor expansion of 1.0 in k 1.786 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.786 * [taylor]: Taking taylor expansion of -2.0 in k 1.786 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.786 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.786 * [taylor]: Taking taylor expansion of 1.0 in k 1.786 * [taylor]: Taking taylor expansion of (log PI) in k 1.786 * [taylor]: Taking taylor expansion of PI in k 1.787 * [taylor]: Taking taylor expansion of 0 in n 1.789 * [taylor]: Taking taylor expansion of (* (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 1.789 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN) in n 1.789 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 1.789 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 1.789 * [taylor]: Taking taylor expansion of -0.5 in n 1.789 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 1.790 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.790 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.790 * [taylor]: Taking taylor expansion of -2.0 in n 1.790 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.790 * [taylor]: Taking taylor expansion of PI in n 1.790 * [taylor]: Taking taylor expansion of n in n 1.790 * [taylor]: Taking taylor expansion of k in n 1.790 * [taylor]: Taking taylor expansion of NAN in n 1.790 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 1.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 1.790 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 1.790 * [taylor]: Taking taylor expansion of 0.5 in n 1.790 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 1.790 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 1.790 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.790 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.790 * [taylor]: Taking taylor expansion of 1.0 in n 1.790 * [taylor]: Taking taylor expansion of (log n) in n 1.790 * [taylor]: Taking taylor expansion of n in n 1.790 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.790 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.790 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.790 * [taylor]: Taking taylor expansion of 1.0 in n 1.790 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.790 * [taylor]: Taking taylor expansion of -2.0 in n 1.790 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.791 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.791 * [taylor]: Taking taylor expansion of 1.0 in n 1.791 * [taylor]: Taking taylor expansion of (log PI) in n 1.791 * [taylor]: Taking taylor expansion of PI in n 1.796 * [taylor]: Taking taylor expansion of (* (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow NAN 3)) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 1.796 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow NAN 3)) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 1.796 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 1.796 * [taylor]: Taking taylor expansion of -0.5 in n 1.796 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 1.796 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.796 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.796 * [taylor]: Taking taylor expansion of -2.0 in n 1.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.796 * [taylor]: Taking taylor expansion of PI in n 1.796 * [taylor]: Taking taylor expansion of n in n 1.796 * [taylor]: Taking taylor expansion of k in n 1.796 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.796 * [taylor]: Taking taylor expansion of NAN in n 1.796 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 1.796 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 1.796 * [taylor]: Taking taylor expansion of 0.5 in n 1.796 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 1.796 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 1.796 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (log n) in n 1.796 * [taylor]: Taking taylor expansion of n in n 1.797 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.797 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.797 * [taylor]: Taking taylor expansion of 1.0 in n 1.797 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.797 * [taylor]: Taking taylor expansion of -2.0 in n 1.797 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.797 * [taylor]: Taking taylor expansion of 1.0 in n 1.797 * [taylor]: Taking taylor expansion of (log PI) in n 1.797 * [taylor]: Taking taylor expansion of PI in n 1.806 * [taylor]: Taking taylor expansion of (* (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow NAN 5)) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 1.806 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow NAN 5)) in n 1.806 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 1.806 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 1.806 * [taylor]: Taking taylor expansion of -0.5 in n 1.806 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 1.806 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.806 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.807 * [taylor]: Taking taylor expansion of -2.0 in n 1.807 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.807 * [taylor]: Taking taylor expansion of PI in n 1.807 * [taylor]: Taking taylor expansion of n in n 1.807 * [taylor]: Taking taylor expansion of k in n 1.807 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.807 * [taylor]: Taking taylor expansion of NAN in n 1.807 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 1.807 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 1.807 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 1.807 * [taylor]: Taking taylor expansion of 0.5 in n 1.807 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 1.807 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 1.807 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.807 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.807 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.807 * [taylor]: Taking taylor expansion of 1.0 in n 1.807 * [taylor]: Taking taylor expansion of (log n) in n 1.807 * [taylor]: Taking taylor expansion of n in n 1.807 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.807 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.807 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.807 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.807 * [taylor]: Taking taylor expansion of 1.0 in n 1.807 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.807 * [taylor]: Taking taylor expansion of -2.0 in n 1.807 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.808 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.808 * [taylor]: Taking taylor expansion of 1.0 in n 1.808 * [taylor]: Taking taylor expansion of (log PI) in n 1.808 * [taylor]: Taking taylor expansion of PI in n 1.811 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.811 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.811 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.811 * [taylor]: Taking taylor expansion of 2.0 in n 1.811 * [taylor]: Taking taylor expansion of (* n PI) in n 1.811 * [taylor]: Taking taylor expansion of n in n 1.811 * [taylor]: Taking taylor expansion of PI in n 1.811 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.811 * [taylor]: Taking taylor expansion of 2.0 in n 1.811 * [taylor]: Taking taylor expansion of (* n PI) in n 1.811 * [taylor]: Taking taylor expansion of n in n 1.811 * [taylor]: Taking taylor expansion of PI in n 1.812 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.812 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.812 * [taylor]: Taking taylor expansion of 2.0 in n 1.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.812 * [taylor]: Taking taylor expansion of PI in n 1.812 * [taylor]: Taking taylor expansion of n in n 1.812 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.812 * [taylor]: Taking taylor expansion of 2.0 in n 1.812 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.812 * [taylor]: Taking taylor expansion of PI in n 1.812 * [taylor]: Taking taylor expansion of n in n 1.813 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.813 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.813 * [taylor]: Taking taylor expansion of -2.0 in n 1.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.813 * [taylor]: Taking taylor expansion of PI in n 1.813 * [taylor]: Taking taylor expansion of n in n 1.813 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.813 * [taylor]: Taking taylor expansion of -2.0 in n 1.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.813 * [taylor]: Taking taylor expansion of PI in n 1.813 * [taylor]: Taking taylor expansion of n in n 1.814 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.814 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.814 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.814 * [taylor]: Taking taylor expansion of 2.0 in n 1.814 * [taylor]: Taking taylor expansion of (* n PI) in n 1.814 * [taylor]: Taking taylor expansion of n in n 1.814 * [taylor]: Taking taylor expansion of PI in n 1.814 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.814 * [taylor]: Taking taylor expansion of 2.0 in n 1.814 * [taylor]: Taking taylor expansion of (* n PI) in n 1.814 * [taylor]: Taking taylor expansion of n in n 1.814 * [taylor]: Taking taylor expansion of PI in n 1.815 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.815 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.815 * [taylor]: Taking taylor expansion of 2.0 in n 1.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.815 * [taylor]: Taking taylor expansion of PI in n 1.815 * [taylor]: Taking taylor expansion of n in n 1.815 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.815 * [taylor]: Taking taylor expansion of 2.0 in n 1.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.815 * [taylor]: Taking taylor expansion of PI in n 1.815 * [taylor]: Taking taylor expansion of n in n 1.816 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.816 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.816 * [taylor]: Taking taylor expansion of -2.0 in n 1.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.816 * [taylor]: Taking taylor expansion of PI in n 1.816 * [taylor]: Taking taylor expansion of n in n 1.816 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.816 * [taylor]: Taking taylor expansion of -2.0 in n 1.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.816 * [taylor]: Taking taylor expansion of PI in n 1.816 * [taylor]: Taking taylor expansion of n in n 1.817 * * * [progress]: simplifying candidates 1.819 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (neg (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) 1) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ (* 0.125 (* (* (pow k 3) (* NAN (pow (log n) 2))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)))) 0.5))) (+ (* 0.5 (* (* (pow k 3) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5))) (+ (* 0.125 (* (* (pow k 3) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5))) (+ (* 0.25 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)))) 0.5) (* NAN (* (pow k 3) (* (log (* 2.0 PI)) (log n)))))) (+ (* (* k NAN) (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5)) (+ (* 0.5 (* (* (pow k 2) (* NAN (log n))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) NAN)) (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5))) (+ (* (* (pow k 2) (pow NAN 3)) (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5)) (+ (* (* (pow k 3) (pow NAN 5)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)))) 0.5)) (* 0.5 (* (* (pow k 3) (* (pow NAN 3) (log n))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)))) 0.5)))))))))))) (+ (* (* NAN (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) (pow (/ (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5)) (+ (* (/ (* (pow NAN 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (pow (/ (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5)) (* (/ (* (pow NAN 5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) (pow k 2)) (pow (/ (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5)))) (- (+ (* (/ (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow NAN 5)) (pow k 2)) (pow (/ (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0) (* (pow PI 1.0) (pow -2.0 1.0))) 0.5)) (* (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (pow (/ (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) (* (/ (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow NAN 3)) k) (pow (/ (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0) (* (pow PI 1.0) (pow -2.0 1.0))) 0.5))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.828 * * [simplify]: iteration 0 : 833 enodes (cost 1353 ) 1.841 * * [simplify]: iteration 1 : 3633 enodes (cost 1121 ) 1.900 * * [simplify]: iteration 2 : 5002 enodes (cost 1121 ) 1.906 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (+ (* (log (* (* 2.0 PI) n)) (- (/ k 2.0) (/ 1.0 2.0))) (log (sqrt k))) (exp (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (neg (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ (+ (* (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5) (+ (* 0.125 (* (pow k 3) (* NAN (pow (log n) 2)))) (* 0.5 (* (pow k 3) (* (log (* 2.0 PI)) (pow NAN 3)))))) (+ (* 0.125 (* (* (pow k 3) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5))) (* 0.25 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0)))) 0.5) (* NAN (* (pow k 3) (* (log (* 2.0 PI)) (log n)))))))) (+ (+ (* (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5) (+ (* k NAN) (* 0.5 (* (pow k 2) (* NAN (log n)))))) (* (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) NAN))) (* (pow k 2) (pow NAN 3))))) (* (pow (/ 1 (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5) (+ (* 0.5 (* (pow k 3) (* (pow NAN 3) (log n)))) (* (pow k 3) (pow NAN 5)))))) (* (pow (/ (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (+ (* NAN (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) (+ (/ (* (pow NAN 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (/ (* (pow NAN 5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) (pow k 2))))) (+ (* (pow (/ (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) (- (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow NAN 3)) k))) (* (/ (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow NAN 5)) (pow k 2)) (pow (/ (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0) (* (pow PI 1.0) (pow -2.0 1.0))) 0.5))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.907 * * * [progress]: adding candidates to table 2.097 * * [progress]: iteration 4 / 4 2.097 * * * [progress]: picking best candidate 2.135 * * * * [pick]: Picked # 2.135 * * * [progress]: localizing error 2.160 * * * [progress]: generating rewritten candidates 2.160 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.171 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 2.177 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.194 * * * [progress]: generating series expansions 2.194 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.194 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.194 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.194 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.194 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.194 * [taylor]: Taking taylor expansion of 0.5 in n 2.194 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.194 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.194 * [taylor]: Taking taylor expansion of 2.0 in n 2.194 * [taylor]: Taking taylor expansion of (* n PI) in n 2.194 * [taylor]: Taking taylor expansion of n in n 2.194 * [taylor]: Taking taylor expansion of PI in n 2.195 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.195 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.195 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.195 * [taylor]: Taking taylor expansion of 0.5 in n 2.195 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.195 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.195 * [taylor]: Taking taylor expansion of 2.0 in n 2.195 * [taylor]: Taking taylor expansion of (* n PI) in n 2.195 * [taylor]: Taking taylor expansion of n in n 2.195 * [taylor]: Taking taylor expansion of PI in n 2.202 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.203 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.203 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.203 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.203 * [taylor]: Taking taylor expansion of 0.5 in n 2.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.203 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.203 * [taylor]: Taking taylor expansion of 2.0 in n 2.203 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.203 * [taylor]: Taking taylor expansion of PI in n 2.203 * [taylor]: Taking taylor expansion of n in n 2.203 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.203 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.203 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.203 * [taylor]: Taking taylor expansion of 0.5 in n 2.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.203 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.203 * [taylor]: Taking taylor expansion of 2.0 in n 2.203 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.203 * [taylor]: Taking taylor expansion of PI in n 2.203 * [taylor]: Taking taylor expansion of n in n 2.211 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in (n) around 0 2.211 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in n 2.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.211 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.211 * [taylor]: Taking taylor expansion of 0.5 in n 2.211 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.211 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.211 * [taylor]: Taking taylor expansion of 2.0 in n 2.211 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.211 * [taylor]: Taking taylor expansion of PI in n 2.211 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.211 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.211 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.211 * [taylor]: Taking taylor expansion of -1 in n 2.211 * [taylor]: Taking taylor expansion of n in n 2.211 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in n 2.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.211 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.211 * [taylor]: Taking taylor expansion of 0.5 in n 2.211 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.211 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.211 * [taylor]: Taking taylor expansion of 2.0 in n 2.211 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.211 * [taylor]: Taking taylor expansion of PI in n 2.211 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.211 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.211 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.211 * [taylor]: Taking taylor expansion of -1 in n 2.211 * [taylor]: Taking taylor expansion of n in n 2.217 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 2.217 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 2.217 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.217 * [taylor]: Taking taylor expansion of 2.0 in n 2.217 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.217 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.217 * [taylor]: Taking taylor expansion of n in n 2.217 * [taylor]: Taking taylor expansion of PI in n 2.217 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.217 * [taylor]: Taking taylor expansion of 2.0 in n 2.217 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.217 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.217 * [taylor]: Taking taylor expansion of n in n 2.217 * [taylor]: Taking taylor expansion of PI in n 2.218 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 2.218 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.218 * [taylor]: Taking taylor expansion of 2.0 in n 2.219 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.219 * [taylor]: Taking taylor expansion of n in n 2.219 * [taylor]: Taking taylor expansion of PI in n 2.219 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.219 * [taylor]: Taking taylor expansion of 2.0 in n 2.219 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.219 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.219 * [taylor]: Taking taylor expansion of n in n 2.219 * [taylor]: Taking taylor expansion of PI in n 2.220 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 2.220 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.220 * [taylor]: Taking taylor expansion of 2.0 in n 2.220 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.220 * [taylor]: Taking taylor expansion of PI in n 2.220 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.220 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.220 * [taylor]: Taking taylor expansion of -1 in n 2.220 * [taylor]: Taking taylor expansion of n in n 2.220 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.220 * [taylor]: Taking taylor expansion of 2.0 in n 2.220 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.220 * [taylor]: Taking taylor expansion of PI in n 2.221 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.221 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.221 * [taylor]: Taking taylor expansion of -1 in n 2.221 * [taylor]: Taking taylor expansion of n in n 2.222 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.222 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.222 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.222 * [taylor]: Taking taylor expansion of 2.0 in n 2.222 * [taylor]: Taking taylor expansion of (* n PI) in n 2.222 * [taylor]: Taking taylor expansion of n in n 2.222 * [taylor]: Taking taylor expansion of PI in n 2.222 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.222 * [taylor]: Taking taylor expansion of 2.0 in n 2.222 * [taylor]: Taking taylor expansion of (* n PI) in n 2.222 * [taylor]: Taking taylor expansion of n in n 2.222 * [taylor]: Taking taylor expansion of PI in n 2.223 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.223 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.223 * [taylor]: Taking taylor expansion of 2.0 in n 2.223 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.223 * [taylor]: Taking taylor expansion of PI in n 2.223 * [taylor]: Taking taylor expansion of n in n 2.223 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.223 * [taylor]: Taking taylor expansion of 2.0 in n 2.223 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.223 * [taylor]: Taking taylor expansion of PI in n 2.223 * [taylor]: Taking taylor expansion of n in n 2.224 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 2.224 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.224 * [taylor]: Taking taylor expansion of 2.0 in n 2.224 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.224 * [taylor]: Taking taylor expansion of PI in n 2.224 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.224 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.224 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.224 * [taylor]: Taking taylor expansion of -1 in n 2.224 * [taylor]: Taking taylor expansion of n in n 2.225 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.225 * [taylor]: Taking taylor expansion of 2.0 in n 2.225 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.225 * [taylor]: Taking taylor expansion of PI in n 2.225 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.225 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.225 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.225 * [taylor]: Taking taylor expansion of -1 in n 2.225 * [taylor]: Taking taylor expansion of n in n 2.227 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.227 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.227 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.227 * [taylor]: Taking taylor expansion of 2.0 in n 2.227 * [taylor]: Taking taylor expansion of (* n PI) in n 2.227 * [taylor]: Taking taylor expansion of n in n 2.227 * [taylor]: Taking taylor expansion of PI in n 2.227 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.227 * [taylor]: Taking taylor expansion of 2.0 in n 2.227 * [taylor]: Taking taylor expansion of (* n PI) in n 2.227 * [taylor]: Taking taylor expansion of n in n 2.227 * [taylor]: Taking taylor expansion of PI in n 2.228 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.228 * [taylor]: Taking taylor expansion of 2.0 in n 2.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.228 * [taylor]: Taking taylor expansion of PI in n 2.228 * [taylor]: Taking taylor expansion of n in n 2.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.228 * [taylor]: Taking taylor expansion of 2.0 in n 2.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.228 * [taylor]: Taking taylor expansion of PI in n 2.228 * [taylor]: Taking taylor expansion of n in n 2.229 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.229 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.229 * [taylor]: Taking taylor expansion of -2.0 in n 2.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.229 * [taylor]: Taking taylor expansion of PI in n 2.229 * [taylor]: Taking taylor expansion of n in n 2.229 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.229 * [taylor]: Taking taylor expansion of -2.0 in n 2.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.229 * [taylor]: Taking taylor expansion of PI in n 2.229 * [taylor]: Taking taylor expansion of n in n 2.230 * * * [progress]: simplifying candidates 2.232 * [simplify]: Simplifying using # : (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1.0) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (- (+ (* 2.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow NAN 5) (pow n 2)))) (pow (* 2.0 (* (pow NAN 2) PI)) 0.5)) (+ (* 4.0 (* (pow (/ (pow PI 1.0) (pow 2.0 3.0)) 0.5) (/ (pow NAN 5) (pow n 2)))) (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (pow NAN 3) n))))) (+ (* 2.0 (* (pow NAN 3) (* (pow n 2) PI))) (+ (* 2.0 (* NAN (* n PI))) (* 2.0 (* (pow NAN 5) (* (pow n 3) PI))))) (+ (* 2.0 (/ (* (pow NAN 5) PI) (pow n 2))) (+ (* 2.0 (/ (* (pow NAN 3) PI) n)) (* 2.0 (* NAN PI)))) (- (+ (* 2.0 (/ (* (pow NAN 5) PI) (pow n 2))) (* 2.0 (* NAN PI))) (* 2.0 (/ (* (pow NAN 3) PI) n))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 2.0 (* (pow NAN 2) PI)) (* 6.0 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 4.0 (/ (* (pow NAN 4) PI) n))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.238 * * [simplify]: iteration 0 : 592 enodes (cost 627 ) 2.248 * * [simplify]: iteration 1 : 2812 enodes (cost 518 ) 2.299 * * [simplify]: iteration 2 : 5001 enodes (cost 514 ) 2.302 * [simplify]: Simplified to: (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ 1.0 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt 1.0) (cbrt 1.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt 1.0) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt 1.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (- (+ (* 2.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow NAN 5) (pow n 2)))) (pow (* 2.0 (* (pow NAN 2) PI)) 0.5)) (+ (* 4.0 (* (pow (/ (pow PI 1.0) (pow 2.0 3.0)) 0.5) (/ (pow NAN 5) (pow n 2)))) (* 1.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ (pow NAN 3) n))))) (* 2.0 (+ (* (pow NAN 3) (* (pow n 2) PI)) (+ (* NAN (* n PI)) (* (pow NAN 5) (* (pow n 3) PI))))) (* 2.0 (+ (/ (* (pow NAN 5) PI) (pow n 2)) (+ (/ (* (pow NAN 3) PI) n) (* NAN PI)))) (* 2.0 (- (+ (/ (* (pow NAN 5) PI) (pow n 2)) (* NAN PI)) (/ (* (pow NAN 3) PI) n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (* 2.0 (* (pow NAN 2) PI)) (* 6.0 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 4.0 (/ (* (pow NAN 4) PI) n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.303 * * * [progress]: adding candidates to table 2.450 * [progress]: [Phase 3 of 3] Extracting. 2.450 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 2.454 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 2.454 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # # #) 2.533 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # # #) 2.609 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # # #) 2.686 * * * [regime]: Found split indices: #