31.566 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.479 * * * [progress]: [2/2] Setting up program. 0.482 * [progress]: [Phase 2 of 3] Improving. 0.482 * [simplify]: Simplifying using # : (*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 0.525 * * [simplify]: iteration 0 : 5065 enodes (cost 14 ) 0.525 * [simplify]: Simplified to: (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 0.529 * * [progress]: iteration 1 / 4 0.529 * * * [progress]: picking best candidate 0.534 * * * * [pick]: Picked # 0.534 * * * [progress]: localizing error 0.547 * * * [progress]: generating rewritten candidates 0.547 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 0.552 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.559 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.574 * * * [progress]: generating series expansions 0.574 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 0.574 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.574 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.574 * [taylor]: Taking taylor expansion of 2 in n 0.574 * [taylor]: Taking taylor expansion of (* n PI) in n 0.574 * [taylor]: Taking taylor expansion of n in n 0.574 * [taylor]: Taking taylor expansion of PI in n 0.574 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.574 * [taylor]: Taking taylor expansion of 2 in n 0.574 * [taylor]: Taking taylor expansion of (* n PI) in n 0.574 * [taylor]: Taking taylor expansion of n in n 0.574 * [taylor]: Taking taylor expansion of PI in n 0.576 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.576 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.576 * [taylor]: Taking taylor expansion of 2 in n 0.576 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.576 * [taylor]: Taking taylor expansion of PI in n 0.576 * [taylor]: Taking taylor expansion of n in n 0.576 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.576 * [taylor]: Taking taylor expansion of 2 in n 0.576 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.576 * [taylor]: Taking taylor expansion of PI in n 0.576 * [taylor]: Taking taylor expansion of n in n 0.578 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.578 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.578 * [taylor]: Taking taylor expansion of -2 in n 0.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.578 * [taylor]: Taking taylor expansion of PI in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.578 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.578 * [taylor]: Taking taylor expansion of -2 in n 0.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.578 * [taylor]: Taking taylor expansion of PI in n 0.578 * [taylor]: Taking taylor expansion of n in n 0.579 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.583 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in (n k) around 0 0.583 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 0.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.583 * [taylor]: Taking taylor expansion of k in k 0.583 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.583 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.583 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.583 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.583 * [taylor]: Taking taylor expansion of 1/2 in k 0.583 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.583 * [taylor]: Taking taylor expansion of 1 in k 0.583 * [taylor]: Taking taylor expansion of k in k 0.583 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.583 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.583 * [taylor]: Taking taylor expansion of 2 in k 0.583 * [taylor]: Taking taylor expansion of (* n PI) in k 0.583 * [taylor]: Taking taylor expansion of n in k 0.583 * [taylor]: Taking taylor expansion of PI in k 0.584 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.584 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.584 * [taylor]: Taking taylor expansion of k in n 0.584 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.584 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.584 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.584 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.584 * [taylor]: Taking taylor expansion of 1/2 in n 0.584 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.584 * [taylor]: Taking taylor expansion of 1 in n 0.584 * [taylor]: Taking taylor expansion of k in n 0.584 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.584 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.584 * [taylor]: Taking taylor expansion of 2 in n 0.584 * [taylor]: Taking taylor expansion of (* n PI) in n 0.584 * [taylor]: Taking taylor expansion of n in n 0.584 * [taylor]: Taking taylor expansion of PI in n 0.585 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.585 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.585 * [taylor]: Taking taylor expansion of k in n 0.585 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.585 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.585 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.585 * [taylor]: Taking taylor expansion of 1/2 in n 0.585 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.585 * [taylor]: Taking taylor expansion of 1 in n 0.585 * [taylor]: Taking taylor expansion of k in n 0.585 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.585 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.585 * [taylor]: Taking taylor expansion of 2 in n 0.585 * [taylor]: Taking taylor expansion of (* n PI) in n 0.585 * [taylor]: Taking taylor expansion of n in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.586 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))))) in k 0.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.586 * [taylor]: Taking taylor expansion of k in k 0.586 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.586 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.586 * [taylor]: Taking taylor expansion of 1/2 in k 0.586 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.586 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.586 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.586 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.586 * [taylor]: Taking taylor expansion of 2 in k 0.586 * [taylor]: Taking taylor expansion of PI in k 0.586 * [taylor]: Taking taylor expansion of (log n) in k 0.586 * [taylor]: Taking taylor expansion of n in k 0.586 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.586 * [taylor]: Taking taylor expansion of 1 in k 0.586 * [taylor]: Taking taylor expansion of k in k 0.588 * [taylor]: Taking taylor expansion of 0 in k 0.591 * [taylor]: Taking taylor expansion of 0 in k 0.595 * [taylor]: Taking taylor expansion of 0 in k 0.605 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in (n k) around 0 0.605 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 0.605 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.605 * [taylor]: Taking taylor expansion of k in k 0.605 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.605 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.605 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.605 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.605 * [taylor]: Taking taylor expansion of 1/2 in k 0.605 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.605 * [taylor]: Taking taylor expansion of 1 in k 0.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.605 * [taylor]: Taking taylor expansion of k in k 0.605 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.605 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.605 * [taylor]: Taking taylor expansion of 2 in k 0.605 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.605 * [taylor]: Taking taylor expansion of PI in k 0.605 * [taylor]: Taking taylor expansion of n in k 0.606 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 0.606 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.606 * [taylor]: Taking taylor expansion of k in n 0.606 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.606 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.606 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.606 * [taylor]: Taking taylor expansion of 1/2 in n 0.606 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.606 * [taylor]: Taking taylor expansion of 1 in n 0.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.606 * [taylor]: Taking taylor expansion of k in n 0.606 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.606 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.606 * [taylor]: Taking taylor expansion of 2 in n 0.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.606 * [taylor]: Taking taylor expansion of PI in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.606 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 0.606 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.606 * [taylor]: Taking taylor expansion of k in n 0.607 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.607 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.607 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.607 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.607 * [taylor]: Taking taylor expansion of 1/2 in n 0.607 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.607 * [taylor]: Taking taylor expansion of 1 in n 0.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.607 * [taylor]: Taking taylor expansion of k in n 0.607 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.607 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.607 * [taylor]: Taking taylor expansion of 2 in n 0.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.607 * [taylor]: Taking taylor expansion of PI in n 0.607 * [taylor]: Taking taylor expansion of n in n 0.607 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) in k 0.607 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.607 * [taylor]: Taking taylor expansion of k in k 0.608 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.608 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.608 * [taylor]: Taking taylor expansion of 1/2 in k 0.608 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.608 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.608 * [taylor]: Taking taylor expansion of 1 in k 0.608 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.608 * [taylor]: Taking taylor expansion of k in k 0.608 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.608 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.608 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.608 * [taylor]: Taking taylor expansion of 2 in k 0.608 * [taylor]: Taking taylor expansion of PI in k 0.608 * [taylor]: Taking taylor expansion of (log n) in k 0.608 * [taylor]: Taking taylor expansion of n in k 0.609 * [taylor]: Taking taylor expansion of 0 in k 0.611 * [taylor]: Taking taylor expansion of 0 in k 0.613 * [taylor]: Taking taylor expansion of 0 in k 0.615 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 0.615 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 0.615 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.615 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.615 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.615 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.615 * [taylor]: Taking taylor expansion of 1/2 in k 0.615 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.615 * [taylor]: Taking taylor expansion of k in k 0.615 * [taylor]: Taking taylor expansion of 1 in k 0.615 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.615 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.615 * [taylor]: Taking taylor expansion of -2 in k 0.615 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.615 * [taylor]: Taking taylor expansion of PI in k 0.615 * [taylor]: Taking taylor expansion of n in k 0.615 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.615 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.615 * [taylor]: Taking taylor expansion of -1 in k 0.615 * [taylor]: Taking taylor expansion of k in k 0.616 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 0.616 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.616 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.616 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.616 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.616 * [taylor]: Taking taylor expansion of 1/2 in n 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.616 * [taylor]: Taking taylor expansion of k in n 0.616 * [taylor]: Taking taylor expansion of 1 in n 0.616 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.616 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.616 * [taylor]: Taking taylor expansion of -2 in n 0.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.616 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.616 * [taylor]: Taking taylor expansion of -1 in n 0.616 * [taylor]: Taking taylor expansion of k in n 0.617 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 0.617 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.617 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.617 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.617 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.617 * [taylor]: Taking taylor expansion of 1/2 in n 0.617 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.617 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.617 * [taylor]: Taking taylor expansion of k in n 0.617 * [taylor]: Taking taylor expansion of 1 in n 0.617 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.617 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.617 * [taylor]: Taking taylor expansion of -2 in n 0.617 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.617 * [taylor]: Taking taylor expansion of PI in n 0.617 * [taylor]: Taking taylor expansion of n in n 0.617 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.617 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.617 * [taylor]: Taking taylor expansion of -1 in n 0.617 * [taylor]: Taking taylor expansion of k in n 0.618 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.618 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.618 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.618 * [taylor]: Taking taylor expansion of 1/2 in k 0.618 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.618 * [taylor]: Taking taylor expansion of k in k 0.618 * [taylor]: Taking taylor expansion of 1 in k 0.618 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.618 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.618 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.618 * [taylor]: Taking taylor expansion of -2 in k 0.618 * [taylor]: Taking taylor expansion of PI in k 0.618 * [taylor]: Taking taylor expansion of (log n) in k 0.618 * [taylor]: Taking taylor expansion of n in k 0.618 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.618 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.618 * [taylor]: Taking taylor expansion of -1 in k 0.618 * [taylor]: Taking taylor expansion of k in k 0.620 * [taylor]: Taking taylor expansion of 0 in k 0.622 * [taylor]: Taking taylor expansion of 0 in k 0.624 * [taylor]: Taking taylor expansion of 0 in k 0.625 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.625 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.625 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.625 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.625 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.625 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.625 * [taylor]: Taking taylor expansion of 1/2 in k 0.625 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.625 * [taylor]: Taking taylor expansion of 1 in k 0.625 * [taylor]: Taking taylor expansion of k in k 0.625 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.625 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.625 * [taylor]: Taking taylor expansion of 2 in k 0.625 * [taylor]: Taking taylor expansion of (* n PI) in k 0.625 * [taylor]: Taking taylor expansion of n in k 0.625 * [taylor]: Taking taylor expansion of PI in k 0.626 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.626 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.626 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.626 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.626 * [taylor]: Taking taylor expansion of 1/2 in n 0.626 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.626 * [taylor]: Taking taylor expansion of 1 in n 0.626 * [taylor]: Taking taylor expansion of k in n 0.626 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.626 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.626 * [taylor]: Taking taylor expansion of 2 in n 0.626 * [taylor]: Taking taylor expansion of (* n PI) in n 0.626 * [taylor]: Taking taylor expansion of n in n 0.626 * [taylor]: Taking taylor expansion of PI in n 0.626 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.626 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.626 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.626 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.626 * [taylor]: Taking taylor expansion of 1/2 in n 0.626 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.626 * [taylor]: Taking taylor expansion of 1 in n 0.626 * [taylor]: Taking taylor expansion of k in n 0.626 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.626 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.626 * [taylor]: Taking taylor expansion of 2 in n 0.626 * [taylor]: Taking taylor expansion of (* n PI) in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.627 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.627 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.627 * [taylor]: Taking taylor expansion of 1/2 in k 0.627 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.627 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.627 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.627 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.627 * [taylor]: Taking taylor expansion of 2 in k 0.627 * [taylor]: Taking taylor expansion of PI in k 0.627 * [taylor]: Taking taylor expansion of (log n) in k 0.627 * [taylor]: Taking taylor expansion of n in k 0.627 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.627 * [taylor]: Taking taylor expansion of 1 in k 0.627 * [taylor]: Taking taylor expansion of k in k 0.628 * [taylor]: Taking taylor expansion of 0 in k 0.630 * [taylor]: Taking taylor expansion of 0 in k 0.633 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.633 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.633 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.633 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.633 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.633 * [taylor]: Taking taylor expansion of 1/2 in k 0.633 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.633 * [taylor]: Taking taylor expansion of 1 in k 0.633 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.633 * [taylor]: Taking taylor expansion of k in k 0.633 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.633 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.633 * [taylor]: Taking taylor expansion of 2 in k 0.633 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.633 * [taylor]: Taking taylor expansion of PI in k 0.633 * [taylor]: Taking taylor expansion of n in k 0.634 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.634 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.634 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.634 * [taylor]: Taking taylor expansion of 1/2 in n 0.634 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.634 * [taylor]: Taking taylor expansion of 1 in n 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.634 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.634 * [taylor]: Taking taylor expansion of 2 in n 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.634 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.634 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.634 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.634 * [taylor]: Taking taylor expansion of 1/2 in n 0.634 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.634 * [taylor]: Taking taylor expansion of 1 in n 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.634 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.634 * [taylor]: Taking taylor expansion of 2 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 (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.635 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.635 * [taylor]: Taking taylor expansion of 1/2 in k 0.635 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.635 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.635 * [taylor]: Taking taylor expansion of 1 in k 0.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.635 * [taylor]: Taking taylor expansion of k in k 0.635 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.635 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.635 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.635 * [taylor]: Taking taylor expansion of 2 in k 0.635 * [taylor]: Taking taylor expansion of PI in k 0.635 * [taylor]: Taking taylor expansion of (log n) in k 0.635 * [taylor]: Taking taylor expansion of n in k 0.637 * [taylor]: Taking taylor expansion of 0 in k 0.637 * [taylor]: Taking taylor expansion of 0 in k 0.639 * [taylor]: Taking taylor expansion of 0 in k 0.639 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.639 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.639 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.639 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.639 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.639 * [taylor]: Taking taylor expansion of 1/2 in k 0.639 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.639 * [taylor]: Taking taylor expansion of k in k 0.639 * [taylor]: Taking taylor expansion of 1 in k 0.639 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.639 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.639 * [taylor]: Taking taylor expansion of -2 in k 0.639 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.639 * [taylor]: Taking taylor expansion of PI in k 0.639 * [taylor]: Taking taylor expansion of n in k 0.640 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.640 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.640 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.640 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.640 * [taylor]: Taking taylor expansion of 1/2 in n 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.640 * [taylor]: Taking taylor expansion of k in n 0.640 * [taylor]: Taking taylor expansion of 1 in n 0.640 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.640 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.640 * [taylor]: Taking taylor expansion of -2 in n 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.640 * [taylor]: Taking taylor expansion of PI in n 0.640 * [taylor]: Taking taylor expansion of n in n 0.640 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.640 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.640 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.640 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.640 * [taylor]: Taking taylor expansion of 1/2 in n 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.640 * [taylor]: Taking taylor expansion of k in n 0.640 * [taylor]: Taking taylor expansion of 1 in n 0.640 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.640 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.640 * [taylor]: Taking taylor expansion of -2 in n 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.641 * [taylor]: Taking taylor expansion of PI in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.641 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.641 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.641 * [taylor]: Taking taylor expansion of 1/2 in k 0.641 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.641 * [taylor]: Taking taylor expansion of k in k 0.641 * [taylor]: Taking taylor expansion of 1 in k 0.641 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.641 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.641 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.641 * [taylor]: Taking taylor expansion of -2 in k 0.641 * [taylor]: Taking taylor expansion of PI in k 0.641 * [taylor]: Taking taylor expansion of (log n) in k 0.641 * [taylor]: Taking taylor expansion of n in k 0.642 * [taylor]: Taking taylor expansion of 0 in k 0.643 * [taylor]: Taking taylor expansion of 0 in k 0.645 * [taylor]: Taking taylor expansion of 0 in k 0.645 * * * [progress]: simplifying candidates 0.647 * [simplify]: Simplifying using # : (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (*.f64 PI.f64 n) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (log.f64 (sqrt.f64 k))) (-.f64 (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (log.f64 (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (exp.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (neg.f64 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) 1) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 1)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 1)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 1 1) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 1)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) 1) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (sqrt.f64 k)) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 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(pow.f64 NAN.f64 5) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) (pow.f64 k 3)) (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k))))) k))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) NAN.f64) k) (/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) NAN.f64)) (-.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n))))) (+.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2)))) (*.f64 1/8 (*.f64 (pow.f64 k 2) (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (pow.f64 (log.f64 n) 2))))))) (+.f64 (*.f64 1/2 (*.f64 k (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (log.f64 n)))) (*.f64 1/2 (*.f64 k (*.f64 (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (log.f64 (*.f64 2 PI.f64))))))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))) (-.f64 1 k)))) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))) (-.f64 1 k)))) 0.673 * * [simplify]: iteration 0 : 5282 enodes (cost 2253 ) 0.681 * [simplify]: Simplified to: (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) 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(cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 1 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 k)) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (/.f64 (sqrt.f64 k) (pow.f64 n (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (/.f64 (-.f64 1 k) 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (sqrt.f64 (-.f64 1 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (-.f64 1 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 1 (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (+.f64 1 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (-.f64 1 k)) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (pow.f64 n (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 (-.f64 1 k) 2)) (exp.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) 3) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 4)) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 NAN.f64 (pow.f64 (log.f64 n) 2))))) (+.f64 (*.f64 1/4 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (log.f64 n) NAN.f64))))) (+.f64 (*.f64 k (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 NAN.f64 3))) (+.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) NAN.f64) (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 NAN.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))))) (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 NAN.f64 5)))))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 NAN.f64 3))))) (*.f64 1/2 (+.f64 (*.f64 k (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) NAN.f64))) (+.f64 (*.f64 k (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) NAN.f64))) (*.f64 (*.f64 k k) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 NAN.f64 3))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k))) (*.f64 k k)) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 5) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k))) (pow.f64 k 3)) (/.f64 (*.f64 NAN.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k))) k))) (+.f64 (/.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (/.f64 k NAN.f64)) (/.f64 (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) NAN.f64)) (-.f64 (+.f64 (*.f64 1/4 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n))))) (+.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 k k)) (+.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (pow.f64 (log.f64 n) 2)))))) (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) k) (log.f64 (*.f64 (*.f64 2 PI.f64) n))))) (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1 k)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) 0.681 * * * [progress]: adding candidates to table 0.828 * * [progress]: iteration 2 / 4 0.828 * * * [progress]: picking best candidate 0.858 * * * * [pick]: Picked # 0.858 * * * [progress]: localizing error 0.875 * * * [progress]: generating rewritten candidates 0.875 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.886 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.898 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.910 * * * [progress]: generating series expansions 0.910 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 0.910 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.910 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.910 * [taylor]: Taking taylor expansion of 2 in n 0.911 * [taylor]: Taking taylor expansion of (* n PI) in n 0.911 * [taylor]: Taking taylor expansion of n in n 0.911 * [taylor]: Taking taylor expansion of PI in n 0.911 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.911 * [taylor]: Taking taylor expansion of 2 in n 0.911 * [taylor]: Taking taylor expansion of (* n PI) in n 0.911 * [taylor]: Taking taylor expansion of n in n 0.911 * [taylor]: Taking taylor expansion of PI in n 0.912 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.912 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.912 * [taylor]: Taking taylor expansion of 2 in n 0.912 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.912 * [taylor]: Taking taylor expansion of PI in n 0.912 * [taylor]: Taking taylor expansion of n in n 0.912 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.912 * [taylor]: Taking taylor expansion of 2 in n 0.912 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.912 * [taylor]: Taking taylor expansion of PI in n 0.912 * [taylor]: Taking taylor expansion of n in n 0.914 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.914 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.914 * [taylor]: Taking taylor expansion of -2 in n 0.914 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.914 * [taylor]: Taking taylor expansion of PI in n 0.914 * [taylor]: Taking taylor expansion of n in n 0.914 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.914 * [taylor]: Taking taylor expansion of -2 in n 0.914 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.914 * [taylor]: Taking taylor expansion of PI in n 0.914 * [taylor]: Taking taylor expansion of n in n 0.915 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.915 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.915 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.915 * [taylor]: Taking taylor expansion of 2 in n 0.915 * [taylor]: Taking taylor expansion of (* n PI) in n 0.915 * [taylor]: Taking taylor expansion of n in n 0.915 * [taylor]: Taking taylor expansion of PI in n 0.915 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.915 * [taylor]: Taking taylor expansion of 2 in n 0.915 * [taylor]: Taking taylor expansion of (* n PI) in n 0.915 * [taylor]: Taking taylor expansion of n in n 0.915 * [taylor]: Taking taylor expansion of PI in n 0.917 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.917 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.917 * [taylor]: Taking taylor expansion of 2 in n 0.917 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.917 * [taylor]: Taking taylor expansion of PI in n 0.917 * [taylor]: Taking taylor expansion of n in n 0.917 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.917 * [taylor]: Taking taylor expansion of 2 in n 0.917 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.917 * [taylor]: Taking taylor expansion of PI in n 0.917 * [taylor]: Taking taylor expansion of n in n 0.918 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.918 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.918 * [taylor]: Taking taylor expansion of -2 in n 0.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.919 * [taylor]: Taking taylor expansion of PI in n 0.919 * [taylor]: Taking taylor expansion of n in n 0.919 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.919 * [taylor]: Taking taylor expansion of -2 in n 0.919 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.919 * [taylor]: Taking taylor expansion of PI in n 0.919 * [taylor]: Taking taylor expansion of n in n 0.920 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.920 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* PI (* n 2)) k)) (/ 1 (pow (* 2 (* n PI)) (* 1/2 k)))) in (n k) around 0 0.920 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI (* n 2)) k)) (/ 1 (pow (* 2 (* n PI)) (* 1/2 k)))) in k 0.920 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI (* n 2)) k)) in k 0.920 * [taylor]: Taking taylor expansion of (/ (* PI (* n 2)) k) in k 0.920 * [taylor]: Taking taylor expansion of (* PI (* n 2)) in k 0.920 * [taylor]: Taking taylor expansion of PI in k 0.920 * [taylor]: Taking taylor expansion of (* n 2) in k 0.920 * [taylor]: Taking taylor expansion of n in k 0.920 * [taylor]: Taking taylor expansion of 2 in k 0.920 * [taylor]: Taking taylor expansion of k in k 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in k 0.921 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 0.921 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 0.921 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 0.921 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 0.921 * [taylor]: Taking taylor expansion of 1/2 in k 0.921 * [taylor]: Taking taylor expansion of k in k 0.921 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.921 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.921 * [taylor]: Taking taylor expansion of 2 in k 0.921 * [taylor]: Taking taylor expansion of (* n PI) in k 0.921 * [taylor]: Taking taylor expansion of n in k 0.921 * [taylor]: Taking taylor expansion of PI in k 0.921 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI (* n 2)) k)) (/ 1 (pow (* 2 (* n PI)) (* 1/2 k)))) in n 0.921 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI (* n 2)) k)) in n 0.921 * [taylor]: Taking taylor expansion of (/ (* PI (* n 2)) k) in n 0.921 * [taylor]: Taking taylor expansion of (* PI (* n 2)) in n 0.921 * [taylor]: Taking taylor expansion of PI in n 0.921 * [taylor]: Taking taylor expansion of (* n 2) in n 0.921 * [taylor]: Taking taylor expansion of n in n 0.921 * [taylor]: Taking taylor expansion of 2 in n 0.921 * [taylor]: Taking taylor expansion of k in n 0.922 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 0.922 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 0.922 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 0.922 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 0.922 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 0.922 * [taylor]: Taking taylor expansion of 1/2 in n 0.922 * [taylor]: Taking taylor expansion of k in n 0.922 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.922 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.922 * [taylor]: Taking taylor expansion of 2 in n 0.922 * [taylor]: Taking taylor expansion of (* n PI) in n 0.922 * [taylor]: Taking taylor expansion of n in n 0.922 * [taylor]: Taking taylor expansion of PI in n 0.922 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI (* n 2)) k)) (/ 1 (pow (* 2 (* n PI)) (* 1/2 k)))) in n 0.922 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI (* n 2)) k)) in n 0.922 * [taylor]: Taking taylor expansion of (/ (* PI (* n 2)) k) in n 0.922 * [taylor]: Taking taylor expansion of (* PI (* n 2)) in n 0.922 * [taylor]: Taking taylor expansion of PI in n 0.922 * [taylor]: Taking taylor expansion of (* n 2) in n 0.922 * [taylor]: Taking taylor expansion of n in n 0.922 * [taylor]: Taking taylor expansion of 2 in n 0.922 * [taylor]: Taking taylor expansion of k in n 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (* 1/2 k))) in n 0.923 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 0.923 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 0.923 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 0.923 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 0.923 * [taylor]: Taking taylor expansion of 1/2 in n 0.923 * [taylor]: Taking taylor expansion of k in n 0.923 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.923 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.923 * [taylor]: Taking taylor expansion of 2 in n 0.923 * [taylor]: Taking taylor expansion of (* n PI) in n 0.923 * [taylor]: Taking taylor expansion of n in n 0.923 * [taylor]: Taking taylor expansion of PI in n 0.923 * [taylor]: Taking taylor expansion of 0 in k 0.924 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 0.925 * [taylor]: Taking taylor expansion of (* NAN PI) in k 0.925 * [taylor]: Taking taylor expansion of NAN in k 0.925 * [taylor]: Taking taylor expansion of PI in k 0.925 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 0.925 * [taylor]: Taking taylor expansion of k in k 0.925 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 0.925 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 0.925 * [taylor]: Taking taylor expansion of 1/2 in k 0.925 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 0.925 * [taylor]: Taking taylor expansion of k in k 0.925 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.925 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.925 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.925 * [taylor]: Taking taylor expansion of 2 in k 0.925 * [taylor]: Taking taylor expansion of PI in k 0.925 * [taylor]: Taking taylor expansion of (log n) in k 0.925 * [taylor]: Taking taylor expansion of n in k 0.928 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 0.928 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 0.928 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 0.928 * [taylor]: Taking taylor expansion of NAN in k 0.928 * [taylor]: Taking taylor expansion of (pow PI 2) in k 0.928 * [taylor]: Taking taylor expansion of PI in k 0.928 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 0.928 * [taylor]: Taking taylor expansion of (pow k 2) in k 0.928 * [taylor]: Taking taylor expansion of k in k 0.928 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 0.928 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 0.928 * [taylor]: Taking taylor expansion of 1/2 in k 0.928 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 0.928 * [taylor]: Taking taylor expansion of k in k 0.928 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.928 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.928 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.928 * [taylor]: Taking taylor expansion of 2 in k 0.928 * [taylor]: Taking taylor expansion of PI in k 0.928 * [taylor]: Taking taylor expansion of (log n) in k 0.928 * [taylor]: Taking taylor expansion of n in k 0.935 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 0.935 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 0.935 * [taylor]: Taking taylor expansion of (sqrt (/ (* k (* PI 2)) n)) in k 0.935 * [taylor]: Taking taylor expansion of (/ (* k (* PI 2)) n) in k 0.935 * [taylor]: Taking taylor expansion of (* k (* PI 2)) in k 0.935 * [taylor]: Taking taylor expansion of k in k 0.935 * [taylor]: Taking taylor expansion of (* PI 2) in k 0.935 * [taylor]: Taking taylor expansion of PI in k 0.935 * [taylor]: Taking taylor expansion of 2 in k 0.935 * [taylor]: Taking taylor expansion of n in k 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 0.935 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 0.935 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 0.935 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 0.935 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 0.935 * [taylor]: Taking taylor expansion of 1/2 in k 0.935 * [taylor]: Taking taylor expansion of k in k 0.935 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.935 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.935 * [taylor]: Taking taylor expansion of 2 in k 0.935 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.935 * [taylor]: Taking taylor expansion of PI in k 0.935 * [taylor]: Taking taylor expansion of n in k 0.936 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 0.936 * [taylor]: Taking taylor expansion of (sqrt (/ (* k (* PI 2)) n)) in n 0.936 * [taylor]: Taking taylor expansion of (/ (* k (* PI 2)) n) in n 0.936 * [taylor]: Taking taylor expansion of (* k (* PI 2)) in n 0.936 * [taylor]: Taking taylor expansion of k in n 0.936 * [taylor]: Taking taylor expansion of (* PI 2) in n 0.936 * [taylor]: Taking taylor expansion of PI in n 0.936 * [taylor]: Taking taylor expansion of 2 in n 0.936 * [taylor]: Taking taylor expansion of n in n 0.936 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 0.936 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 0.936 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 0.936 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 0.936 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 0.936 * [taylor]: Taking taylor expansion of 1/2 in n 0.936 * [taylor]: Taking taylor expansion of k in n 0.936 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.936 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.936 * [taylor]: Taking taylor expansion of 2 in n 0.936 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.936 * [taylor]: Taking taylor expansion of PI in n 0.936 * [taylor]: Taking taylor expansion of n in n 0.936 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k (* PI 2)) n)) (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 0.937 * [taylor]: Taking taylor expansion of (sqrt (/ (* k (* PI 2)) n)) in n 0.937 * [taylor]: Taking taylor expansion of (/ (* k (* PI 2)) n) in n 0.937 * [taylor]: Taking taylor expansion of (* k (* PI 2)) in n 0.937 * [taylor]: Taking taylor expansion of k in n 0.937 * [taylor]: Taking taylor expansion of (* PI 2) in n 0.937 * [taylor]: Taking taylor expansion of PI in n 0.937 * [taylor]: Taking taylor expansion of 2 in n 0.937 * [taylor]: Taking taylor expansion of n in n 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 0.937 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 0.937 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 0.937 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 0.937 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 0.937 * [taylor]: Taking taylor expansion of 1/2 in n 0.937 * [taylor]: Taking taylor expansion of k in n 0.937 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.937 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.937 * [taylor]: Taking taylor expansion of 2 in n 0.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.937 * [taylor]: Taking taylor expansion of PI in n 0.937 * [taylor]: Taking taylor expansion of n in n 0.938 * [taylor]: Taking taylor expansion of 0 in k 0.939 * [taylor]: Taking taylor expansion of (/ (* k (* NAN PI)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.939 * [taylor]: Taking taylor expansion of (* k (* NAN PI)) in k 0.939 * [taylor]: Taking taylor expansion of k in k 0.939 * [taylor]: Taking taylor expansion of (* NAN PI) in k 0.939 * [taylor]: Taking taylor expansion of NAN in k 0.939 * [taylor]: Taking taylor expansion of PI in k 0.939 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.939 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.939 * [taylor]: Taking taylor expansion of 1/2 in k 0.939 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.939 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.939 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.939 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.939 * [taylor]: Taking taylor expansion of 2 in k 0.939 * [taylor]: Taking taylor expansion of PI in k 0.939 * [taylor]: Taking taylor expansion of (log n) in k 0.939 * [taylor]: Taking taylor expansion of n in k 0.939 * [taylor]: Taking taylor expansion of k in k 0.941 * [taylor]: Taking taylor expansion of (/ (* (pow k 2) (* (pow NAN 3) (pow PI 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.941 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (pow NAN 3) (pow PI 2))) in k 0.942 * [taylor]: Taking taylor expansion of (pow k 2) in k 0.942 * [taylor]: Taking taylor expansion of k in k 0.942 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 0.942 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 0.942 * [taylor]: Taking taylor expansion of NAN in k 0.942 * [taylor]: Taking taylor expansion of (pow PI 2) in k 0.942 * [taylor]: Taking taylor expansion of PI in k 0.942 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.942 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.942 * [taylor]: Taking taylor expansion of 1/2 in k 0.942 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.942 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.942 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.942 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.942 * [taylor]: Taking taylor expansion of 2 in k 0.942 * [taylor]: Taking taylor expansion of PI in k 0.942 * [taylor]: Taking taylor expansion of (log n) in k 0.942 * [taylor]: Taking taylor expansion of n in k 0.942 * [taylor]: Taking taylor expansion of k in k 0.946 * [taylor]: Taking taylor expansion of (/ (* (pow k 3) (* (pow NAN 5) (pow PI 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.946 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (pow NAN 5) (pow PI 3))) in k 0.946 * [taylor]: Taking taylor expansion of (pow k 3) in k 0.947 * [taylor]: Taking taylor expansion of k in k 0.947 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 0.947 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 0.947 * [taylor]: Taking taylor expansion of NAN in k 0.947 * [taylor]: Taking taylor expansion of (pow PI 3) in k 0.947 * [taylor]: Taking taylor expansion of PI in k 0.947 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.947 * [taylor]: Taking taylor expansion of 1/2 in k 0.947 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.947 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.947 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.947 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.947 * [taylor]: Taking taylor expansion of 2 in k 0.947 * [taylor]: Taking taylor expansion of PI in k 0.947 * [taylor]: Taking taylor expansion of (log n) in k 0.947 * [taylor]: Taking taylor expansion of n in k 0.947 * [taylor]: Taking taylor expansion of k in k 0.953 * [taylor]: Taking taylor expansion of (/ (* (pow k 4) (* (pow NAN 7) (pow PI 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.953 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (pow NAN 7) (pow PI 4))) in k 0.953 * [taylor]: Taking taylor expansion of (pow k 4) in k 0.953 * [taylor]: Taking taylor expansion of k in k 0.953 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 0.953 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 0.953 * [taylor]: Taking taylor expansion of NAN in k 0.953 * [taylor]: Taking taylor expansion of (pow PI 4) in k 0.953 * [taylor]: Taking taylor expansion of PI in k 0.953 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.953 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.953 * [taylor]: Taking taylor expansion of 1/2 in k 0.953 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.953 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.953 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.953 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.953 * [taylor]: Taking taylor expansion of 2 in k 0.953 * [taylor]: Taking taylor expansion of PI in k 0.953 * [taylor]: Taking taylor expansion of (log n) in k 0.953 * [taylor]: Taking taylor expansion of n in k 0.953 * [taylor]: Taking taylor expansion of k in k 0.960 * [taylor]: Taking taylor expansion of (/ (* (pow k 5) (* (pow NAN 9) (pow PI 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.960 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (pow NAN 9) (pow PI 5))) in k 0.960 * [taylor]: Taking taylor expansion of (pow k 5) in k 0.960 * [taylor]: Taking taylor expansion of k in k 0.960 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 0.960 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 0.960 * [taylor]: Taking taylor expansion of NAN in k 0.960 * [taylor]: Taking taylor expansion of (pow PI 5) in k 0.960 * [taylor]: Taking taylor expansion of PI in k 0.960 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.960 * [taylor]: Taking taylor expansion of 1/2 in k 0.960 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.960 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.960 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.960 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.960 * [taylor]: Taking taylor expansion of 2 in k 0.960 * [taylor]: Taking taylor expansion of PI in k 0.960 * [taylor]: Taking taylor expansion of (log n) in k 0.960 * [taylor]: Taking taylor expansion of n in k 0.960 * [taylor]: Taking taylor expansion of k in k 0.970 * [taylor]: Taking taylor expansion of (/ (* (pow k 6) (* (pow NAN 11) (pow PI 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.970 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (pow NAN 11) (pow PI 6))) in k 0.970 * [taylor]: Taking taylor expansion of (pow k 6) in k 0.970 * [taylor]: Taking taylor expansion of k in k 0.970 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 0.970 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 0.970 * [taylor]: Taking taylor expansion of NAN in k 0.970 * [taylor]: Taking taylor expansion of (pow PI 6) in k 0.970 * [taylor]: Taking taylor expansion of PI in k 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.970 * [taylor]: Taking taylor expansion of 1/2 in k 0.970 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.970 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.970 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.970 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.970 * [taylor]: Taking taylor expansion of 2 in k 0.970 * [taylor]: Taking taylor expansion of PI in k 0.970 * [taylor]: Taking taylor expansion of (log n) in k 0.970 * [taylor]: Taking taylor expansion of n in k 0.970 * [taylor]: Taking taylor expansion of k in k 0.973 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in (n k) around 0 0.973 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in k 0.973 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 0.973 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 0.973 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.973 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.973 * [taylor]: Taking taylor expansion of -1 in k 0.973 * [taylor]: Taking taylor expansion of k in k 0.973 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 0.974 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 0.974 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 0.974 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 0.974 * [taylor]: Taking taylor expansion of -1/2 in k 0.974 * [taylor]: Taking taylor expansion of k in k 0.974 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.974 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.974 * [taylor]: Taking taylor expansion of -2 in k 0.974 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.974 * [taylor]: Taking taylor expansion of PI in k 0.974 * [taylor]: Taking taylor expansion of n in k 0.974 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k 0.974 * [taylor]: Taking taylor expansion of (/ (* PI -2) n) in k 0.974 * [taylor]: Taking taylor expansion of (* PI -2) in k 0.974 * [taylor]: Taking taylor expansion of PI in k 0.974 * [taylor]: Taking taylor expansion of -2 in k 0.974 * [taylor]: Taking taylor expansion of n in k 0.975 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in n 0.975 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 0.975 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 0.975 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.975 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.975 * [taylor]: Taking taylor expansion of -1 in n 0.975 * [taylor]: Taking taylor expansion of k in n 0.975 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 0.975 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 0.975 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 0.975 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 0.975 * [taylor]: Taking taylor expansion of -1/2 in n 0.975 * [taylor]: Taking taylor expansion of k in n 0.975 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.975 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.975 * [taylor]: Taking taylor expansion of -2 in n 0.975 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.975 * [taylor]: Taking taylor expansion of PI in n 0.975 * [taylor]: Taking taylor expansion of n in n 0.979 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 0.979 * [taylor]: Taking taylor expansion of (/ (* PI -2) n) in n 0.980 * [taylor]: Taking taylor expansion of (* PI -2) in n 0.980 * [taylor]: Taking taylor expansion of PI in n 0.980 * [taylor]: Taking taylor expansion of -2 in n 0.980 * [taylor]: Taking taylor expansion of n in n 0.980 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) (sqrt (/ (* PI -2) n))) in n 0.980 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 0.980 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 0.980 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.980 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.980 * [taylor]: Taking taylor expansion of -1 in n 0.980 * [taylor]: Taking taylor expansion of k in n 0.980 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 0.980 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 0.980 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 0.980 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 0.980 * [taylor]: Taking taylor expansion of -1/2 in n 0.980 * [taylor]: Taking taylor expansion of k in n 0.980 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.980 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.980 * [taylor]: Taking taylor expansion of -2 in n 0.980 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.980 * [taylor]: Taking taylor expansion of PI in n 0.980 * [taylor]: Taking taylor expansion of n in n 0.981 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n 0.981 * [taylor]: Taking taylor expansion of (/ (* PI -2) n) in n 0.981 * [taylor]: Taking taylor expansion of (* PI -2) in n 0.981 * [taylor]: Taking taylor expansion of PI in n 0.981 * [taylor]: Taking taylor expansion of -2 in n 0.981 * [taylor]: Taking taylor expansion of n in n 0.981 * [taylor]: Taking taylor expansion of 0 in k 0.982 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 0.982 * [taylor]: Taking taylor expansion of (* NAN PI) in k 0.982 * [taylor]: Taking taylor expansion of NAN in k 0.983 * [taylor]: Taking taylor expansion of PI in k 0.983 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 0.983 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.983 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.983 * [taylor]: Taking taylor expansion of -1 in k 0.983 * [taylor]: Taking taylor expansion of k in k 0.983 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 0.983 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 0.983 * [taylor]: Taking taylor expansion of -1/2 in k 0.983 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 0.983 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.983 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.983 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.983 * [taylor]: Taking taylor expansion of -2 in k 0.983 * [taylor]: Taking taylor expansion of PI in k 0.983 * [taylor]: Taking taylor expansion of (log n) in k 0.983 * [taylor]: Taking taylor expansion of n in k 0.983 * [taylor]: Taking taylor expansion of k in k 0.986 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 0.986 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 0.986 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 0.986 * [taylor]: Taking taylor expansion of NAN in k 0.986 * [taylor]: Taking taylor expansion of (pow PI 2) in k 0.986 * [taylor]: Taking taylor expansion of PI in k 0.986 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 0.986 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.986 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.986 * [taylor]: Taking taylor expansion of -1 in k 0.986 * [taylor]: Taking taylor expansion of k in k 0.987 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 0.987 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 0.987 * [taylor]: Taking taylor expansion of -1/2 in k 0.987 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 0.987 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.987 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.987 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.987 * [taylor]: Taking taylor expansion of -2 in k 0.987 * [taylor]: Taking taylor expansion of PI in k 0.987 * [taylor]: Taking taylor expansion of (log n) in k 0.987 * [taylor]: Taking taylor expansion of n in k 0.987 * [taylor]: Taking taylor expansion of k in k 0.990 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.990 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0 0.990 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 0.990 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 0.990 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 0.990 * [taylor]: Taking taylor expansion of 1/2 in n 0.990 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.990 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.991 * [taylor]: Taking taylor expansion of 2 in n 0.991 * [taylor]: Taking taylor expansion of (* n PI) in n 0.991 * [taylor]: Taking taylor expansion of n in n 0.991 * [taylor]: Taking taylor expansion of PI in n 0.991 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n 0.991 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n 0.991 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n 0.991 * [taylor]: Taking taylor expansion of 1/2 in n 0.991 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.991 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.991 * [taylor]: Taking taylor expansion of 2 in n 0.991 * [taylor]: Taking taylor expansion of (* n PI) in n 0.991 * [taylor]: Taking taylor expansion of n in n 0.991 * [taylor]: Taking taylor expansion of PI in n 0.999 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0 0.999 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 0.999 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 0.999 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 0.999 * [taylor]: Taking taylor expansion of 1/2 in n 0.999 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.999 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.999 * [taylor]: Taking taylor expansion of 2 in n 0.999 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.999 * [taylor]: Taking taylor expansion of PI in n 0.999 * [taylor]: Taking taylor expansion of n in n 1.000 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n 1.000 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n 1.000 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n 1.000 * [taylor]: Taking taylor expansion of 1/2 in n 1.000 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.000 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.000 * [taylor]: Taking taylor expansion of 2 in n 1.000 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.000 * [taylor]: Taking taylor expansion of PI in n 1.000 * [taylor]: Taking taylor expansion of n in n 1.008 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0 1.008 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 1.008 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 1.008 * [taylor]: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 1.008 * [taylor]: Taking taylor expansion of 1/2 in n 1.008 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.008 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.008 * [taylor]: Taking taylor expansion of -2 in n 1.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.008 * [taylor]: Taking taylor expansion of PI in n 1.008 * [taylor]: Taking taylor expansion of n in n 1.008 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n 1.008 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n 1.008 * [taylor]: Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n 1.008 * [taylor]: Taking taylor expansion of 1/2 in n 1.008 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.008 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.008 * [taylor]: Taking taylor expansion of -2 in n 1.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.008 * [taylor]: Taking taylor expansion of PI in n 1.008 * [taylor]: Taking taylor expansion of n in n 1.016 * * * [progress]: simplifying candidates 1.018 * [simplify]: Simplifying using # : (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (*.f64 PI.f64 n) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (-.f64 (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 1 2)) (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (-.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 1 2)) (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (log.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 1 2)) (+.f64 (log.f64 (sqrt.f64 k)) (*.f64 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n) (/.f64 1 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k)) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))))) (cbrt.f64 (/.f64 (pow.f64 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PI.f64)) k) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 PI.f64 2) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (pow.f64 n 2) (log.f64 n)))) k)) (+.f64 (*.f64 1/2 (*.f64 NAN.f64 (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 n PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 PI.f64 (*.f64 NAN.f64 (*.f64 n (log.f64 n))))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 n 2) (pow.f64 PI.f64 2)))) k)))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (pow.f64 PI.f64 2)) (*.f64 (pow.f64 k 2) (*.f64 n (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))))))))) (+.f64 (/.f64 (*.f64 NAN.f64 PI.f64) (*.f64 k (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n)))))))) (/.f64 (*.f64 (pow.f64 NAN.f64 5) (pow.f64 PI.f64 3)) (*.f64 (pow.f64 k 3) (*.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n)))))) (pow.f64 n 2)))))) (-.f64 (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 2) PI.f64) (*.f64 k (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n)))))))) (/.f64 PI.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n)))))))) (/.f64 (*.f64 (pow.f64 NAN.f64 2) (pow.f64 PI.f64 2)) (*.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n)))))) n))) (exp.f64 (*.f64 1/2 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (exp.f64 (*.f64 1/2 (-.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 (/.f64 1 n))))) (exp.f64 (*.f64 1/2 (-.f64 (log.f64 (*.f64 -2 PI.f64)) (log.f64 (/.f64 -1 n))))) 1.044 * * [simplify]: iteration 0 : 5037 enodes (cost 1629 ) 1.051 * [simplify]: Simplified to: (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (*.f64 PI.f64 n) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (exp.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 3) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 3) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (pow.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 3) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (neg.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (neg.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 k)) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 k)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 1 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 1/2 1/2 1/2 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 1/2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (*.f64 (cbrt.f64 1) (cbrt.f64 1)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (cbrt.f64 1) (cbrt.f64 1))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 (sqrt.f64 2))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 n) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (exp.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 3/2) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1/4) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (-.f64 (/.f64 (*.f64 (*.f64 PI.f64 n) NAN.f64) k) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (*.f64 PI.f64 PI.f64) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (log.f64 n) (*.f64 n n)))) k) (+.f64 (*.f64 (*.f64 (*.f64 PI.f64 n) NAN.f64) (log.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (*.f64 PI.f64 PI.f64) (*.f64 n n)))) k))))) (+.f64 (/.f64 (*.f64 (*.f64 PI.f64 PI.f64) (pow.f64 NAN.f64 3)) (*.f64 (*.f64 k k) (*.f64 n (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) k)))) (+.f64 (/.f64 (*.f64 PI.f64 NAN.f64) (*.f64 k (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) k))) (*.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 k 3) (*.f64 n (*.f64 n (pow.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) k))))) (pow.f64 PI.f64 3)))) (+.f64 (/.f64 PI.f64 (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))) (*.f64 (/.f64 (*.f64 NAN.f64 NAN.f64) (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))) (-.f64 (/.f64 PI.f64 k) (/.f64 (*.f64 PI.f64 PI.f64) n)))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (exp.f64 (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))) 1.051 * * * [progress]: adding candidates to table 1.152 * * [progress]: iteration 3 / 4 1.152 * * * [progress]: picking best candidate 1.180 * * * * [pick]: Picked # 1.180 * * * [progress]: localizing error 1.192 * * * [progress]: generating rewritten candidates 1.192 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 1.198 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 1.203 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.218 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.334 * * * [progress]: generating series expansions 1.334 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 1.334 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.334 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.334 * [taylor]: Taking taylor expansion of 2 in n 1.334 * [taylor]: Taking taylor expansion of (* n PI) in n 1.334 * [taylor]: Taking taylor expansion of n in n 1.334 * [taylor]: Taking taylor expansion of PI in n 1.334 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.334 * [taylor]: Taking taylor expansion of 2 in n 1.334 * [taylor]: Taking taylor expansion of (* n PI) in n 1.334 * [taylor]: Taking taylor expansion of n in n 1.334 * [taylor]: Taking taylor expansion of PI in n 1.336 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.336 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.336 * [taylor]: Taking taylor expansion of 2 in n 1.336 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.336 * [taylor]: Taking taylor expansion of PI in n 1.336 * [taylor]: Taking taylor expansion of n in n 1.336 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.336 * [taylor]: Taking taylor expansion of 2 in n 1.336 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.336 * [taylor]: Taking taylor expansion of PI in n 1.336 * [taylor]: Taking taylor expansion of n in n 1.338 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.338 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.338 * [taylor]: Taking taylor expansion of -2 in n 1.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.338 * [taylor]: Taking taylor expansion of PI in n 1.338 * [taylor]: Taking taylor expansion of n in n 1.338 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.338 * [taylor]: Taking taylor expansion of -2 in n 1.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.338 * [taylor]: Taking taylor expansion of PI in n 1.338 * [taylor]: Taking taylor expansion of n in n 1.339 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 1.339 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.339 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.339 * [taylor]: Taking taylor expansion of 2 in n 1.339 * [taylor]: Taking taylor expansion of (* n PI) in n 1.339 * [taylor]: Taking taylor expansion of n in n 1.339 * [taylor]: Taking taylor expansion of PI in n 1.339 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.339 * [taylor]: Taking taylor expansion of 2 in n 1.339 * [taylor]: Taking taylor expansion of (* n PI) in n 1.339 * [taylor]: Taking taylor expansion of n in n 1.339 * [taylor]: Taking taylor expansion of PI in n 1.341 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.341 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.341 * [taylor]: Taking taylor expansion of 2 in n 1.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.341 * [taylor]: Taking taylor expansion of PI in n 1.341 * [taylor]: Taking taylor expansion of n in n 1.341 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.341 * [taylor]: Taking taylor expansion of 2 in n 1.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.341 * [taylor]: Taking taylor expansion of PI in n 1.341 * [taylor]: Taking taylor expansion of n in n 1.342 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.342 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.342 * [taylor]: Taking taylor expansion of -2 in n 1.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.342 * [taylor]: Taking taylor expansion of PI in n 1.342 * [taylor]: Taking taylor expansion of n in n 1.343 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.343 * [taylor]: Taking taylor expansion of -2 in n 1.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.343 * [taylor]: Taking taylor expansion of PI in n 1.343 * [taylor]: Taking taylor expansion of n in n 1.344 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.344 * [approximate]: Taking taylor expansion of (* (sqrt (/ k (* PI n))) (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2))) in (k n) around 0 1.344 * [taylor]: Taking taylor expansion of (* (sqrt (/ k (* PI n))) (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2))) in n 1.344 * [taylor]: Taking taylor expansion of (sqrt (/ k (* PI n))) in n 1.344 * [taylor]: Taking taylor expansion of (/ k (* PI n)) in n 1.344 * [taylor]: Taking taylor expansion of k in n 1.344 * [taylor]: Taking taylor expansion of (* PI n) in n 1.344 * [taylor]: Taking taylor expansion of PI in n 1.344 * [taylor]: Taking taylor expansion of n in n 1.344 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in n 1.344 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.344 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.344 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.345 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.345 * [taylor]: Taking taylor expansion of 1/2 in n 1.345 * [taylor]: Taking taylor expansion of k in n 1.345 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.345 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.345 * [taylor]: Taking taylor expansion of 2 in n 1.345 * [taylor]: Taking taylor expansion of (* n PI) in n 1.345 * [taylor]: Taking taylor expansion of n in n 1.345 * [taylor]: Taking taylor expansion of PI in n 1.345 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.345 * [taylor]: Taking taylor expansion of 2 in n 1.345 * [taylor]: Taking taylor expansion of (* (sqrt (/ k (* PI n))) (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2))) in k 1.345 * [taylor]: Taking taylor expansion of (sqrt (/ k (* PI n))) in k 1.345 * [taylor]: Taking taylor expansion of (/ k (* PI n)) in k 1.345 * [taylor]: Taking taylor expansion of k in k 1.345 * [taylor]: Taking taylor expansion of (* PI n) in k 1.345 * [taylor]: Taking taylor expansion of PI in k 1.345 * [taylor]: Taking taylor expansion of n in k 1.345 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in k 1.345 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.345 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.346 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.346 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.346 * [taylor]: Taking taylor expansion of 1/2 in k 1.346 * [taylor]: Taking taylor expansion of k in k 1.346 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.346 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.346 * [taylor]: Taking taylor expansion of 2 in k 1.346 * [taylor]: Taking taylor expansion of (* n PI) in k 1.346 * [taylor]: Taking taylor expansion of n in k 1.346 * [taylor]: Taking taylor expansion of PI in k 1.346 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.346 * [taylor]: Taking taylor expansion of 2 in k 1.346 * [taylor]: Taking taylor expansion of (* (sqrt (/ k (* PI n))) (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2))) in k 1.346 * [taylor]: Taking taylor expansion of (sqrt (/ k (* PI n))) in k 1.346 * [taylor]: Taking taylor expansion of (/ k (* PI n)) in k 1.346 * [taylor]: Taking taylor expansion of k in k 1.346 * [taylor]: Taking taylor expansion of (* PI n) in k 1.346 * [taylor]: Taking taylor expansion of PI in k 1.346 * [taylor]: Taking taylor expansion of n in k 1.347 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in k 1.347 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.347 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.347 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.347 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.347 * [taylor]: Taking taylor expansion of 1/2 in k 1.347 * [taylor]: Taking taylor expansion of k in k 1.347 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.347 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.347 * [taylor]: Taking taylor expansion of 2 in k 1.347 * [taylor]: Taking taylor expansion of (* n PI) in k 1.347 * [taylor]: Taking taylor expansion of n in k 1.347 * [taylor]: Taking taylor expansion of PI in k 1.347 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.347 * [taylor]: Taking taylor expansion of 2 in k 1.347 * [taylor]: Taking taylor expansion of 0 in n 1.348 * [taylor]: Taking taylor expansion of (/ NAN (* PI (* n (sqrt 2)))) in n 1.348 * [taylor]: Taking taylor expansion of NAN in n 1.348 * [taylor]: Taking taylor expansion of (* PI (* n (sqrt 2))) in n 1.348 * [taylor]: Taking taylor expansion of PI in n 1.348 * [taylor]: Taking taylor expansion of (* n (sqrt 2)) in n 1.348 * [taylor]: Taking taylor expansion of n in n 1.348 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.348 * [taylor]: Taking taylor expansion of 2 in n 1.351 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (* (log (* 2 (* n PI))) NAN) (* (sqrt 2) (* n PI)))) (/ (pow NAN 3) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (log (* 2 (* n PI))) NAN) (* (sqrt 2) (* n PI)))) in n 1.351 * [taylor]: Taking taylor expansion of 1/2 in n 1.351 * [taylor]: Taking taylor expansion of (/ (* (log (* 2 (* n PI))) NAN) (* (sqrt 2) (* n PI))) in n 1.351 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) NAN) in n 1.351 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.351 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.351 * [taylor]: Taking taylor expansion of 2 in n 1.351 * [taylor]: Taking taylor expansion of (* n PI) in n 1.351 * [taylor]: Taking taylor expansion of n in n 1.351 * [taylor]: Taking taylor expansion of PI in n 1.351 * [taylor]: Taking taylor expansion of NAN in n 1.351 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1.351 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.351 * [taylor]: Taking taylor expansion of 2 in n 1.351 * [taylor]: Taking taylor expansion of (* n PI) in n 1.351 * [taylor]: Taking taylor expansion of n in n 1.351 * [taylor]: Taking taylor expansion of PI in n 1.351 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1.351 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.351 * [taylor]: Taking taylor expansion of NAN in n 1.351 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1.351 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.352 * [taylor]: Taking taylor expansion of 2 in n 1.352 * [taylor]: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1.352 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.352 * [taylor]: Taking taylor expansion of n in n 1.352 * [taylor]: Taking taylor expansion of (pow PI 2) in n 1.352 * [taylor]: Taking taylor expansion of PI in n 1.358 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (* (pow (log (* 2 (* n PI))) 2) NAN) (* (sqrt 2) (* n PI)))) (+ (* 1/2 (/ (* (log (* 2 (* n PI))) (pow NAN 3)) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (/ (pow NAN 5) (* (pow PI 3) (* (pow n 3) (sqrt 2)))))) in n 1.358 * [taylor]: Taking taylor expansion of (* 1/8 (/ (* (pow (log (* 2 (* n PI))) 2) NAN) (* (sqrt 2) (* n PI)))) in n 1.358 * [taylor]: Taking taylor expansion of 1/8 in n 1.358 * [taylor]: Taking taylor expansion of (/ (* (pow (log (* 2 (* n PI))) 2) NAN) (* (sqrt 2) (* n PI))) in n 1.358 * [taylor]: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) NAN) in n 1.358 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1.358 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.358 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.358 * [taylor]: Taking taylor expansion of 2 in n 1.358 * [taylor]: Taking taylor expansion of (* n PI) in n 1.358 * [taylor]: Taking taylor expansion of n in n 1.358 * [taylor]: Taking taylor expansion of PI in n 1.358 * [taylor]: Taking taylor expansion of NAN in n 1.358 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1.358 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.358 * [taylor]: Taking taylor expansion of 2 in n 1.358 * [taylor]: Taking taylor expansion of (* n PI) in n 1.358 * [taylor]: Taking taylor expansion of n in n 1.358 * [taylor]: Taking taylor expansion of PI in n 1.359 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (* (log (* 2 (* n PI))) (pow NAN 3)) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (/ (pow NAN 5) (* (pow PI 3) (* (pow n 3) (sqrt 2))))) in n 1.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* (log (* 2 (* n PI))) (pow NAN 3)) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1.359 * [taylor]: Taking taylor expansion of 1/2 in n 1.359 * [taylor]: Taking taylor expansion of (/ (* (log (* 2 (* n PI))) (pow NAN 3)) (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1.359 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow NAN 3)) in n 1.359 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.359 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.359 * [taylor]: Taking taylor expansion of 2 in n 1.359 * [taylor]: Taking taylor expansion of (* n PI) in n 1.359 * [taylor]: Taking taylor expansion of n in n 1.359 * [taylor]: Taking taylor expansion of PI in n 1.359 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.359 * [taylor]: Taking taylor expansion of NAN in n 1.359 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1.359 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.359 * [taylor]: Taking taylor expansion of 2 in n 1.359 * [taylor]: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1.359 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.359 * [taylor]: Taking taylor expansion of n in n 1.359 * [taylor]: Taking taylor expansion of (pow PI 2) in n 1.359 * [taylor]: Taking taylor expansion of PI in n 1.360 * [taylor]: Taking taylor expansion of (/ (pow NAN 5) (* (pow PI 3) (* (pow n 3) (sqrt 2)))) in n 1.360 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.360 * [taylor]: Taking taylor expansion of NAN in n 1.360 * [taylor]: Taking taylor expansion of (* (pow PI 3) (* (pow n 3) (sqrt 2))) in n 1.360 * [taylor]: Taking taylor expansion of (pow PI 3) in n 1.360 * [taylor]: Taking taylor expansion of PI in n 1.360 * [taylor]: Taking taylor expansion of (* (pow n 3) (sqrt 2)) in n 1.360 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.360 * [taylor]: Taking taylor expansion of n in n 1.360 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.360 * [taylor]: Taking taylor expansion of 2 in n 1.368 * [approximate]: Taking taylor expansion of (* (sqrt (/ n (* k PI))) (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2))) in (k n) around 0 1.374 * [taylor]: Taking taylor expansion of (* (sqrt (/ n (* k PI))) (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2))) in n 1.374 * [taylor]: Taking taylor expansion of (sqrt (/ n (* k PI))) in n 1.374 * [taylor]: Taking taylor expansion of (/ n (* k PI)) in n 1.374 * [taylor]: Taking taylor expansion of n in n 1.374 * [taylor]: Taking taylor expansion of (* k PI) in n 1.374 * [taylor]: Taking taylor expansion of k in n 1.374 * [taylor]: Taking taylor expansion of PI in n 1.374 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in n 1.374 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.374 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.374 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.374 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.374 * [taylor]: Taking taylor expansion of 1/2 in n 1.374 * [taylor]: Taking taylor expansion of k in n 1.374 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.374 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.374 * [taylor]: Taking taylor expansion of 2 in n 1.374 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.374 * [taylor]: Taking taylor expansion of PI in n 1.374 * [taylor]: Taking taylor expansion of n in n 1.375 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.375 * [taylor]: Taking taylor expansion of 2 in n 1.375 * [taylor]: Taking taylor expansion of (* (sqrt (/ n (* k PI))) (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2))) in k 1.375 * [taylor]: Taking taylor expansion of (sqrt (/ n (* k PI))) in k 1.375 * [taylor]: Taking taylor expansion of (/ n (* k PI)) in k 1.375 * [taylor]: Taking taylor expansion of n in k 1.375 * [taylor]: Taking taylor expansion of (* k PI) in k 1.375 * [taylor]: Taking taylor expansion of k in k 1.375 * [taylor]: Taking taylor expansion of PI in k 1.375 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in k 1.375 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.375 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.375 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.375 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.375 * [taylor]: Taking taylor expansion of 1/2 in k 1.375 * [taylor]: Taking taylor expansion of k in k 1.375 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.375 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.375 * [taylor]: Taking taylor expansion of 2 in k 1.375 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.375 * [taylor]: Taking taylor expansion of PI in k 1.375 * [taylor]: Taking taylor expansion of n in k 1.376 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.376 * [taylor]: Taking taylor expansion of 2 in k 1.376 * [taylor]: Taking taylor expansion of (* (sqrt (/ n (* k PI))) (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2))) in k 1.376 * [taylor]: Taking taylor expansion of (sqrt (/ n (* k PI))) in k 1.376 * [taylor]: Taking taylor expansion of (/ n (* k PI)) in k 1.376 * [taylor]: Taking taylor expansion of n in k 1.376 * [taylor]: Taking taylor expansion of (* k PI) in k 1.376 * [taylor]: Taking taylor expansion of k in k 1.376 * [taylor]: Taking taylor expansion of PI in k 1.376 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in k 1.376 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.376 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.376 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.376 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.376 * [taylor]: Taking taylor expansion of 1/2 in k 1.376 * [taylor]: Taking taylor expansion of k in k 1.376 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.376 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.376 * [taylor]: Taking taylor expansion of 2 in k 1.376 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.376 * [taylor]: Taking taylor expansion of PI in k 1.376 * [taylor]: Taking taylor expansion of n in k 1.377 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.377 * [taylor]: Taking taylor expansion of 2 in k 1.377 * [taylor]: Taking taylor expansion of 0 in n 1.377 * [taylor]: Taking taylor expansion of (/ (* NAN (* n (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) (* PI (sqrt 2))) in n 1.377 * [taylor]: Taking taylor expansion of (* NAN (* n (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) in n 1.377 * [taylor]: Taking taylor expansion of NAN in n 1.377 * [taylor]: Taking taylor expansion of (* n (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) in n 1.377 * [taylor]: Taking taylor expansion of n in n 1.377 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1.377 * [taylor]: Taking taylor expansion of 1/2 in n 1.377 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1.378 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.378 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.378 * [taylor]: Taking taylor expansion of 2 in n 1.378 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.378 * [taylor]: Taking taylor expansion of PI in n 1.378 * [taylor]: Taking taylor expansion of n in n 1.378 * [taylor]: Taking taylor expansion of k in n 1.378 * [taylor]: Taking taylor expansion of (* PI (sqrt 2)) in n 1.378 * [taylor]: Taking taylor expansion of PI in n 1.378 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.378 * [taylor]: Taking taylor expansion of 2 in n 1.380 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (* (pow n 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) (* (sqrt 2) (pow PI 2))) in n 1.380 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (pow n 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) in n 1.380 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.380 * [taylor]: Taking taylor expansion of NAN in n 1.380 * [taylor]: Taking taylor expansion of (* (pow n 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) in n 1.380 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.380 * [taylor]: Taking taylor expansion of n in n 1.381 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1.381 * [taylor]: Taking taylor expansion of 1/2 in n 1.381 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1.381 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.381 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.381 * [taylor]: Taking taylor expansion of 2 in n 1.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.381 * [taylor]: Taking taylor expansion of PI in n 1.381 * [taylor]: Taking taylor expansion of n in n 1.381 * [taylor]: Taking taylor expansion of k in n 1.381 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1.381 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.381 * [taylor]: Taking taylor expansion of 2 in n 1.381 * [taylor]: Taking taylor expansion of (pow PI 2) in n 1.381 * [taylor]: Taking taylor expansion of PI in n 1.384 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 5) (* (pow n 3) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) (* (pow PI 3) (sqrt 2))) in n 1.384 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (* (pow n 3) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) in n 1.384 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.384 * [taylor]: Taking taylor expansion of NAN in n 1.384 * [taylor]: Taking taylor expansion of (* (pow n 3) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) in n 1.384 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.384 * [taylor]: Taking taylor expansion of n in n 1.384 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1.384 * [taylor]: Taking taylor expansion of 1/2 in n 1.384 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1.384 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.384 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.384 * [taylor]: Taking taylor expansion of 2 in n 1.384 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.384 * [taylor]: Taking taylor expansion of PI in n 1.384 * [taylor]: Taking taylor expansion of n in n 1.384 * [taylor]: Taking taylor expansion of k in n 1.385 * [taylor]: Taking taylor expansion of (* (pow PI 3) (sqrt 2)) in n 1.385 * [taylor]: Taking taylor expansion of (pow PI 3) in n 1.385 * [taylor]: Taking taylor expansion of PI in n 1.385 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.385 * [taylor]: Taking taylor expansion of 2 in n 1.390 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 7) (* (pow n 4) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) (* (sqrt 2) (pow PI 4))) in n 1.390 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (* (pow n 4) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) in n 1.390 * [taylor]: Taking taylor expansion of (pow NAN 7) in n 1.390 * [taylor]: Taking taylor expansion of NAN in n 1.390 * [taylor]: Taking taylor expansion of (* (pow n 4) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) in n 1.390 * [taylor]: Taking taylor expansion of (pow n 4) in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1.390 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1.390 * [taylor]: Taking taylor expansion of 1/2 in n 1.390 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1.390 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.390 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.390 * [taylor]: Taking taylor expansion of 2 in n 1.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.390 * [taylor]: Taking taylor expansion of PI in n 1.390 * [taylor]: Taking taylor expansion of n in n 1.390 * [taylor]: Taking taylor expansion of k in n 1.391 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 4)) in n 1.391 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.391 * [taylor]: Taking taylor expansion of 2 in n 1.391 * [taylor]: Taking taylor expansion of (pow PI 4) in n 1.391 * [taylor]: Taking taylor expansion of PI in n 1.397 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 9) (* (pow n 5) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) (* (pow PI 5) (sqrt 2))) in n 1.397 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (* (pow n 5) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) in n 1.397 * [taylor]: Taking taylor expansion of (pow NAN 9) in n 1.397 * [taylor]: Taking taylor expansion of NAN in n 1.397 * [taylor]: Taking taylor expansion of (* (pow n 5) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) in n 1.397 * [taylor]: Taking taylor expansion of (pow n 5) in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.397 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1.397 * [taylor]: Taking taylor expansion of 1/2 in n 1.397 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1.397 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.397 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.397 * [taylor]: Taking taylor expansion of 2 in n 1.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.397 * [taylor]: Taking taylor expansion of PI in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.397 * [taylor]: Taking taylor expansion of k in n 1.397 * [taylor]: Taking taylor expansion of (* (pow PI 5) (sqrt 2)) in n 1.397 * [taylor]: Taking taylor expansion of (pow PI 5) in n 1.397 * [taylor]: Taking taylor expansion of PI in n 1.397 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.397 * [taylor]: Taking taylor expansion of 2 in n 1.406 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 11) (* (pow n 6) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) (* (sqrt 2) (pow PI 6))) in n 1.406 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (* (pow n 6) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) in n 1.406 * [taylor]: Taking taylor expansion of (pow NAN 11) in n 1.406 * [taylor]: Taking taylor expansion of NAN in n 1.406 * [taylor]: Taking taylor expansion of (* (pow n 6) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) in n 1.406 * [taylor]: Taking taylor expansion of (pow n 6) in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.406 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1.406 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1.406 * [taylor]: Taking taylor expansion of 1/2 in n 1.406 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1.406 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.406 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.406 * [taylor]: Taking taylor expansion of 2 in n 1.406 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.406 * [taylor]: Taking taylor expansion of PI in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.407 * [taylor]: Taking taylor expansion of k in n 1.407 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 6)) in n 1.407 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.407 * [taylor]: Taking taylor expansion of 2 in n 1.407 * [taylor]: Taking taylor expansion of (pow PI 6) in n 1.407 * [taylor]: Taking taylor expansion of PI in n 1.410 * [approximate]: Taking taylor expansion of (/ (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) (sqrt (* -2 (/ PI n)))) in (k n) around 0 1.410 * [taylor]: Taking taylor expansion of (/ (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) (sqrt (* -2 (/ PI n)))) in n 1.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 1.410 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.410 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.410 * [taylor]: Taking taylor expansion of -1 in n 1.410 * [taylor]: Taking taylor expansion of k in n 1.410 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.410 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.410 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.410 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.410 * [taylor]: Taking taylor expansion of -1/2 in n 1.410 * [taylor]: Taking taylor expansion of k in n 1.410 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.410 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.410 * [taylor]: Taking taylor expansion of -2 in n 1.410 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.410 * [taylor]: Taking taylor expansion of PI in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.411 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.411 * [taylor]: Taking taylor expansion of -2 in n 1.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.411 * [taylor]: Taking taylor expansion of PI in n 1.411 * [taylor]: Taking taylor expansion of n in n 1.411 * [taylor]: Taking taylor expansion of (/ (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) (sqrt (* -2 (/ PI n)))) in k 1.411 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 1.411 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.411 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.411 * [taylor]: Taking taylor expansion of -1 in k 1.411 * [taylor]: Taking taylor expansion of k in k 1.412 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.412 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.412 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.412 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.412 * [taylor]: Taking taylor expansion of -1/2 in k 1.412 * [taylor]: Taking taylor expansion of k in k 1.412 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.412 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.412 * [taylor]: Taking taylor expansion of -2 in k 1.412 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.412 * [taylor]: Taking taylor expansion of PI in k 1.412 * [taylor]: Taking taylor expansion of n in k 1.412 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1.412 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.412 * [taylor]: Taking taylor expansion of -2 in k 1.412 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.412 * [taylor]: Taking taylor expansion of PI in k 1.412 * [taylor]: Taking taylor expansion of n in k 1.413 * [taylor]: Taking taylor expansion of (/ (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) (sqrt (* -2 (/ PI n)))) in k 1.413 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 1.413 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.413 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.413 * [taylor]: Taking taylor expansion of -1 in k 1.413 * [taylor]: Taking taylor expansion of k in k 1.413 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.413 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.413 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.413 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.413 * [taylor]: Taking taylor expansion of -1/2 in k 1.413 * [taylor]: Taking taylor expansion of k in k 1.413 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.413 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.413 * [taylor]: Taking taylor expansion of -2 in k 1.413 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.413 * [taylor]: Taking taylor expansion of PI in k 1.413 * [taylor]: Taking taylor expansion of n in k 1.413 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1.413 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.413 * [taylor]: Taking taylor expansion of -2 in k 1.413 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.413 * [taylor]: Taking taylor expansion of PI in k 1.413 * [taylor]: Taking taylor expansion of n in k 1.414 * [taylor]: Taking taylor expansion of (/ (* NAN (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) (sqrt (* -2 (/ PI n)))) in n 1.414 * [taylor]: Taking taylor expansion of (* NAN (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1.414 * [taylor]: Taking taylor expansion of NAN in n 1.414 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1.414 * [taylor]: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1.414 * [taylor]: Taking taylor expansion of -1/2 in n 1.414 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1.414 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.414 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.414 * [taylor]: Taking taylor expansion of -2 in n 1.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.414 * [taylor]: Taking taylor expansion of PI in n 1.414 * [taylor]: Taking taylor expansion of n in n 1.414 * [taylor]: Taking taylor expansion of k in n 1.415 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.415 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.415 * [taylor]: Taking taylor expansion of -2 in n 1.415 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.415 * [taylor]: Taking taylor expansion of PI in n 1.415 * [taylor]: Taking taylor expansion of n in n 1.416 * [taylor]: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (pow NAN 3)) (sqrt (* -2 (/ PI n)))) in n 1.416 * [taylor]: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) (pow NAN 3)) in n 1.416 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1.416 * [taylor]: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1.416 * [taylor]: Taking taylor expansion of -1/2 in n 1.416 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1.416 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.416 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.416 * [taylor]: Taking taylor expansion of -2 in n 1.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.416 * [taylor]: Taking taylor expansion of PI in n 1.416 * [taylor]: Taking taylor expansion of n in n 1.416 * [taylor]: Taking taylor expansion of k in n 1.417 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.417 * [taylor]: Taking taylor expansion of NAN in n 1.417 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.417 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.417 * [taylor]: Taking taylor expansion of -2 in n 1.417 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.417 * [taylor]: Taking taylor expansion of PI in n 1.417 * [taylor]: Taking taylor expansion of n in n 1.420 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.420 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in (k n) around 0 1.420 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in n 1.420 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1.420 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 1.420 * [taylor]: Taking taylor expansion of (* n PI) in n 1.420 * [taylor]: Taking taylor expansion of n in n 1.420 * [taylor]: Taking taylor expansion of PI in n 1.420 * [taylor]: Taking taylor expansion of k in n 1.421 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.421 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.421 * [taylor]: Taking taylor expansion of 2 in n 1.421 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.421 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.421 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.421 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.421 * [taylor]: Taking taylor expansion of 1/2 in n 1.421 * [taylor]: Taking taylor expansion of k in n 1.421 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.421 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.421 * [taylor]: Taking taylor expansion of 2 in n 1.421 * [taylor]: Taking taylor expansion of (* n PI) in n 1.421 * [taylor]: Taking taylor expansion of n in n 1.421 * [taylor]: Taking taylor expansion of PI in n 1.421 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in k 1.421 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1.421 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 1.421 * [taylor]: Taking taylor expansion of (* n PI) in k 1.421 * [taylor]: Taking taylor expansion of n in k 1.421 * [taylor]: Taking taylor expansion of PI in k 1.421 * [taylor]: Taking taylor expansion of k in k 1.422 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1.422 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.422 * [taylor]: Taking taylor expansion of 2 in k 1.422 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.422 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.422 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.422 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.422 * [taylor]: Taking taylor expansion of 1/2 in k 1.422 * [taylor]: Taking taylor expansion of k in k 1.422 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.422 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.422 * [taylor]: Taking taylor expansion of 2 in k 1.422 * [taylor]: Taking taylor expansion of (* n PI) in k 1.422 * [taylor]: Taking taylor expansion of n in k 1.422 * [taylor]: Taking taylor expansion of PI in k 1.422 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* n PI) k)) (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k)))) in k 1.422 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1.422 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 1.422 * [taylor]: Taking taylor expansion of (* n PI) in k 1.422 * [taylor]: Taking taylor expansion of n in k 1.422 * [taylor]: Taking taylor expansion of PI in k 1.423 * [taylor]: Taking taylor expansion of k in k 1.423 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1.423 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.423 * [taylor]: Taking taylor expansion of 2 in k 1.423 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.423 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.423 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.423 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.423 * [taylor]: Taking taylor expansion of 1/2 in k 1.423 * [taylor]: Taking taylor expansion of k in k 1.423 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.423 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.423 * [taylor]: Taking taylor expansion of 2 in k 1.423 * [taylor]: Taking taylor expansion of (* n PI) in k 1.423 * [taylor]: Taking taylor expansion of n in k 1.423 * [taylor]: Taking taylor expansion of PI in k 1.424 * [taylor]: Taking taylor expansion of 0 in n 1.424 * [taylor]: Taking taylor expansion of (* NAN (* (sqrt 2) (* n PI))) in n 1.424 * [taylor]: Taking taylor expansion of NAN in n 1.424 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1.424 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.424 * [taylor]: Taking taylor expansion of 2 in n 1.424 * [taylor]: Taking taylor expansion of (* n PI) in n 1.424 * [taylor]: Taking taylor expansion of n in n 1.424 * [taylor]: Taking taylor expansion of PI in n 1.427 * [taylor]: Taking taylor expansion of (- (* (pow PI 2) (* (pow NAN 3) (* (pow n 2) (sqrt 2)))) (* 1/2 (* NAN (* (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))))) in n 1.427 * [taylor]: Taking taylor expansion of (* (pow PI 2) (* (pow NAN 3) (* (pow n 2) (sqrt 2)))) in n 1.427 * [taylor]: Taking taylor expansion of (pow PI 2) in n 1.427 * [taylor]: Taking taylor expansion of PI in n 1.427 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (pow n 2) (sqrt 2))) in n 1.427 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.427 * [taylor]: Taking taylor expansion of NAN in n 1.427 * [taylor]: Taking taylor expansion of (* (pow n 2) (sqrt 2)) in n 1.427 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.427 * [taylor]: Taking taylor expansion of n in n 1.427 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.427 * [taylor]: Taking taylor expansion of 2 in n 1.427 * [taylor]: Taking taylor expansion of (* 1/2 (* NAN (* (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))) in n 1.427 * [taylor]: Taking taylor expansion of 1/2 in n 1.427 * [taylor]: Taking taylor expansion of (* NAN (* (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))) in n 1.427 * [taylor]: Taking taylor expansion of NAN in n 1.427 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))) in n 1.427 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.427 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.427 * [taylor]: Taking taylor expansion of 2 in n 1.427 * [taylor]: Taking taylor expansion of (* n PI) in n 1.427 * [taylor]: Taking taylor expansion of n in n 1.427 * [taylor]: Taking taylor expansion of PI in n 1.427 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1.427 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.427 * [taylor]: Taking taylor expansion of 2 in n 1.427 * [taylor]: Taking taylor expansion of (* n PI) in n 1.427 * [taylor]: Taking taylor expansion of n in n 1.427 * [taylor]: Taking taylor expansion of PI in n 1.432 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* NAN (* (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))))) (* (sqrt 2) (* (pow NAN 5) (* (pow n 3) (pow PI 3))))) (* 1/2 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow NAN 3) (* (pow n 2) (pow PI 2))))))) in n 1.433 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* NAN (* (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))))) (* (sqrt 2) (* (pow NAN 5) (* (pow n 3) (pow PI 3))))) in n 1.433 * [taylor]: Taking taylor expansion of (* 1/8 (* NAN (* (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))))) in n 1.433 * [taylor]: Taking taylor expansion of 1/8 in n 1.433 * [taylor]: Taking taylor expansion of (* NAN (* (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) in n 1.433 * [taylor]: Taking taylor expansion of NAN in n 1.433 * [taylor]: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))) in n 1.433 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1.433 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.433 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.433 * [taylor]: Taking taylor expansion of 2 in n 1.433 * [taylor]: Taking taylor expansion of (* n PI) in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of PI in n 1.433 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1.433 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.433 * [taylor]: Taking taylor expansion of 2 in n 1.433 * [taylor]: Taking taylor expansion of (* n PI) in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of PI in n 1.433 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (* (pow n 3) (pow PI 3)))) in n 1.433 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.433 * [taylor]: Taking taylor expansion of 2 in n 1.433 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (* (pow n 3) (pow PI 3))) in n 1.433 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.433 * [taylor]: Taking taylor expansion of NAN in n 1.433 * [taylor]: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1.433 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.433 * [taylor]: Taking taylor expansion of n in n 1.433 * [taylor]: Taking taylor expansion of (pow PI 3) in n 1.433 * [taylor]: Taking taylor expansion of PI in n 1.433 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow NAN 3) (* (pow n 2) (pow PI 2)))))) in n 1.433 * [taylor]: Taking taylor expansion of 1/2 in n 1.433 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow NAN 3) (* (pow n 2) (pow PI 2))))) in n 1.433 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.433 * [taylor]: Taking taylor expansion of 2 in n 1.433 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow NAN 3) (* (pow n 2) (pow PI 2)))) in n 1.434 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.434 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.434 * [taylor]: Taking taylor expansion of 2 in n 1.434 * [taylor]: Taking taylor expansion of (* n PI) in n 1.434 * [taylor]: Taking taylor expansion of n in n 1.434 * [taylor]: Taking taylor expansion of PI in n 1.434 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (pow n 2) (pow PI 2))) in n 1.434 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.434 * [taylor]: Taking taylor expansion of NAN in n 1.434 * [taylor]: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1.434 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.434 * [taylor]: Taking taylor expansion of n in n 1.434 * [taylor]: Taking taylor expansion of (pow PI 2) in n 1.434 * [taylor]: Taking taylor expansion of PI in n 1.444 * [taylor]: Taking taylor expansion of (- (+ (* 1/8 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow NAN 3) (* (pow n 2) (pow PI 2)))))) (* (pow NAN 7) (* (sqrt 2) (* (pow n 4) (pow PI 4))))) (+ (* 1/2 (* (pow PI 3) (* (log (* 2 (* n PI))) (* (pow NAN 5) (* (pow n 3) (sqrt 2)))))) (* 1/48 (* NAN (* (pow (log (* 2 (* n PI))) 3) (* (sqrt 2) (* n PI))))))) in n 1.444 * [taylor]: Taking taylor expansion of (+ (* 1/8 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow NAN 3) (* (pow n 2) (pow PI 2)))))) (* (pow NAN 7) (* (sqrt 2) (* (pow n 4) (pow PI 4))))) in n 1.444 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow NAN 3) (* (pow n 2) (pow PI 2)))))) in n 1.444 * [taylor]: Taking taylor expansion of 1/8 in n 1.444 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow NAN 3) (* (pow n 2) (pow PI 2))))) in n 1.444 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.444 * [taylor]: Taking taylor expansion of 2 in n 1.444 * [taylor]: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* (pow NAN 3) (* (pow n 2) (pow PI 2)))) in n 1.444 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1.444 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.444 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.444 * [taylor]: Taking taylor expansion of 2 in n 1.444 * [taylor]: Taking taylor expansion of (* n PI) in n 1.444 * [taylor]: Taking taylor expansion of n in n 1.444 * [taylor]: Taking taylor expansion of PI in n 1.444 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (pow n 2) (pow PI 2))) in n 1.444 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.444 * [taylor]: Taking taylor expansion of NAN in n 1.444 * [taylor]: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1.444 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.444 * [taylor]: Taking taylor expansion of n in n 1.444 * [taylor]: Taking taylor expansion of (pow PI 2) in n 1.444 * [taylor]: Taking taylor expansion of PI in n 1.445 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (* (sqrt 2) (* (pow n 4) (pow PI 4)))) in n 1.445 * [taylor]: Taking taylor expansion of (pow NAN 7) in n 1.445 * [taylor]: Taking taylor expansion of NAN in n 1.445 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow n 4) (pow PI 4))) in n 1.445 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.445 * [taylor]: Taking taylor expansion of 2 in n 1.445 * [taylor]: Taking taylor expansion of (* (pow n 4) (pow PI 4)) in n 1.445 * [taylor]: Taking taylor expansion of (pow n 4) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of (pow PI 4) in n 1.445 * [taylor]: Taking taylor expansion of PI in n 1.445 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (pow PI 3) (* (log (* 2 (* n PI))) (* (pow NAN 5) (* (pow n 3) (sqrt 2)))))) (* 1/48 (* NAN (* (pow (log (* 2 (* n PI))) 3) (* (sqrt 2) (* n PI)))))) in n 1.445 * [taylor]: Taking taylor expansion of (* 1/2 (* (pow PI 3) (* (log (* 2 (* n PI))) (* (pow NAN 5) (* (pow n 3) (sqrt 2)))))) in n 1.445 * [taylor]: Taking taylor expansion of 1/2 in n 1.445 * [taylor]: Taking taylor expansion of (* (pow PI 3) (* (log (* 2 (* n PI))) (* (pow NAN 5) (* (pow n 3) (sqrt 2))))) in n 1.445 * [taylor]: Taking taylor expansion of (pow PI 3) in n 1.445 * [taylor]: Taking taylor expansion of PI in n 1.445 * [taylor]: Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow NAN 5) (* (pow n 3) (sqrt 2)))) in n 1.445 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.445 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.445 * [taylor]: Taking taylor expansion of 2 in n 1.445 * [taylor]: Taking taylor expansion of (* n PI) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of PI in n 1.445 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (* (pow n 3) (sqrt 2))) in n 1.445 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.445 * [taylor]: Taking taylor expansion of NAN in n 1.445 * [taylor]: Taking taylor expansion of (* (pow n 3) (sqrt 2)) in n 1.445 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.445 * [taylor]: Taking taylor expansion of 2 in n 1.445 * [taylor]: Taking taylor expansion of (* 1/48 (* NAN (* (pow (log (* 2 (* n PI))) 3) (* (sqrt 2) (* n PI))))) in n 1.445 * [taylor]: Taking taylor expansion of 1/48 in n 1.445 * [taylor]: Taking taylor expansion of (* NAN (* (pow (log (* 2 (* n PI))) 3) (* (sqrt 2) (* n PI)))) in n 1.445 * [taylor]: Taking taylor expansion of NAN in n 1.445 * [taylor]: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 3) (* (sqrt 2) (* n PI))) in n 1.445 * [taylor]: Taking taylor expansion of (pow (log (* 2 (* n PI))) 3) in n 1.445 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.445 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.445 * [taylor]: Taking taylor expansion of 2 in n 1.445 * [taylor]: Taking taylor expansion of (* n PI) in n 1.445 * [taylor]: Taking taylor expansion of n in n 1.445 * [taylor]: Taking taylor expansion of PI in n 1.446 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1.446 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.446 * [taylor]: Taking taylor expansion of 2 in n 1.446 * [taylor]: Taking taylor expansion of (* n PI) in n 1.446 * [taylor]: Taking taylor expansion of n in n 1.446 * [taylor]: Taking taylor expansion of PI in n 1.454 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (k n) around 0 1.454 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.454 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 1.454 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 1.454 * [taylor]: Taking taylor expansion of (* k PI) in n 1.454 * [taylor]: Taking taylor expansion of k in n 1.454 * [taylor]: Taking taylor expansion of PI in n 1.454 * [taylor]: Taking taylor expansion of n in n 1.454 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.454 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.454 * [taylor]: Taking taylor expansion of 2 in n 1.454 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.454 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.454 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.454 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.454 * [taylor]: Taking taylor expansion of 1/2 in n 1.454 * [taylor]: Taking taylor expansion of k in n 1.454 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.454 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.454 * [taylor]: Taking taylor expansion of 2 in n 1.454 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.454 * [taylor]: Taking taylor expansion of PI in n 1.454 * [taylor]: Taking taylor expansion of n in n 1.455 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 1.455 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in k 1.455 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in k 1.455 * [taylor]: Taking taylor expansion of (* k PI) in k 1.455 * [taylor]: Taking taylor expansion of k in k 1.455 * [taylor]: Taking taylor expansion of PI in k 1.455 * [taylor]: Taking taylor expansion of n in k 1.455 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1.455 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.455 * [taylor]: Taking taylor expansion of 2 in k 1.455 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.455 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.455 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.455 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.455 * [taylor]: Taking taylor expansion of 1/2 in k 1.455 * [taylor]: Taking taylor expansion of k in k 1.455 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.455 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.455 * [taylor]: Taking taylor expansion of 2 in k 1.455 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.455 * [taylor]: Taking taylor expansion of PI in k 1.455 * [taylor]: Taking taylor expansion of n in k 1.456 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 1.456 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in k 1.456 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in k 1.456 * [taylor]: Taking taylor expansion of (* k PI) in k 1.456 * [taylor]: Taking taylor expansion of k in k 1.456 * [taylor]: Taking taylor expansion of PI in k 1.456 * [taylor]: Taking taylor expansion of n in k 1.456 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1.456 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.456 * [taylor]: Taking taylor expansion of 2 in k 1.456 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.456 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.456 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.456 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.456 * [taylor]: Taking taylor expansion of 1/2 in k 1.456 * [taylor]: Taking taylor expansion of k in k 1.456 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.456 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.456 * [taylor]: Taking taylor expansion of 2 in k 1.456 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.456 * [taylor]: Taking taylor expansion of PI in k 1.456 * [taylor]: Taking taylor expansion of n in k 1.457 * [taylor]: Taking taylor expansion of 0 in n 1.458 * [taylor]: Taking taylor expansion of (/ (* PI (* NAN (sqrt 2))) (* n (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) in n 1.458 * [taylor]: Taking taylor expansion of (* PI (* NAN (sqrt 2))) in n 1.458 * [taylor]: Taking taylor expansion of PI in n 1.458 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2)) in n 1.458 * [taylor]: Taking taylor expansion of NAN in n 1.458 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.458 * [taylor]: Taking taylor expansion of 2 in n 1.458 * [taylor]: Taking taylor expansion of (* n (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) in n 1.458 * [taylor]: Taking taylor expansion of n in n 1.458 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1.458 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1.458 * [taylor]: Taking taylor expansion of 1/2 in n 1.458 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1.458 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.458 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.458 * [taylor]: Taking taylor expansion of 2 in n 1.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.458 * [taylor]: Taking taylor expansion of PI in n 1.458 * [taylor]: Taking taylor expansion of n in n 1.458 * [taylor]: Taking taylor expansion of k in n 1.463 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (* (sqrt 2) (pow PI 2))) (* (pow n 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) in n 1.463 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (sqrt 2) (pow PI 2))) in n 1.463 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.463 * [taylor]: Taking taylor expansion of NAN in n 1.463 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1.463 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.463 * [taylor]: Taking taylor expansion of 2 in n 1.463 * [taylor]: Taking taylor expansion of (pow PI 2) in n 1.463 * [taylor]: Taking taylor expansion of PI in n 1.463 * [taylor]: Taking taylor expansion of (* (pow n 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) in n 1.463 * [taylor]: Taking taylor expansion of (pow n 2) in n 1.463 * [taylor]: Taking taylor expansion of n in n 1.463 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1.463 * [taylor]: Taking taylor expansion of 1/2 in n 1.463 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1.463 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.463 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.463 * [taylor]: Taking taylor expansion of 2 in n 1.463 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.463 * [taylor]: Taking taylor expansion of PI in n 1.463 * [taylor]: Taking taylor expansion of n in n 1.463 * [taylor]: Taking taylor expansion of k in n 1.469 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) (* (pow n 3) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))) in n 1.469 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in n 1.469 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.469 * [taylor]: Taking taylor expansion of 2 in n 1.469 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in n 1.469 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.469 * [taylor]: Taking taylor expansion of NAN in n 1.469 * [taylor]: Taking taylor expansion of (pow PI 3) in n 1.469 * [taylor]: Taking taylor expansion of PI in n 1.469 * [taylor]: Taking taylor expansion of (* (pow n 3) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) in n 1.469 * [taylor]: Taking taylor expansion of (pow n 3) in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.469 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))) in n 1.469 * [taylor]: Taking taylor expansion of (* 1/2 (/ (log (* 2 (/ PI n))) k)) in n 1.469 * [taylor]: Taking taylor expansion of 1/2 in n 1.469 * [taylor]: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1.469 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.469 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.469 * [taylor]: Taking taylor expansion of 2 in n 1.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.469 * [taylor]: Taking taylor expansion of PI in n 1.469 * [taylor]: Taking taylor expansion of n in n 1.469 * [taylor]: Taking taylor expansion of k in n 1.477 * [approximate]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in (k n) around 0 1.477 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 1.477 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.477 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.477 * [taylor]: Taking taylor expansion of -2 in n 1.477 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.477 * [taylor]: Taking taylor expansion of PI in n 1.477 * [taylor]: Taking taylor expansion of n in n 1.477 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 1.477 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.478 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.478 * [taylor]: Taking taylor expansion of -1 in n 1.478 * [taylor]: Taking taylor expansion of k in n 1.478 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.478 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.478 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.478 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.478 * [taylor]: Taking taylor expansion of -1/2 in n 1.478 * [taylor]: Taking taylor expansion of k in n 1.478 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.478 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.478 * [taylor]: Taking taylor expansion of -2 in n 1.478 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.478 * [taylor]: Taking taylor expansion of PI in n 1.478 * [taylor]: Taking taylor expansion of n in n 1.478 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 1.479 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1.479 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.479 * [taylor]: Taking taylor expansion of -2 in k 1.479 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.479 * [taylor]: Taking taylor expansion of PI in k 1.479 * [taylor]: Taking taylor expansion of n in k 1.479 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 1.479 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.479 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.479 * [taylor]: Taking taylor expansion of -1 in k 1.479 * [taylor]: Taking taylor expansion of k in k 1.479 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.479 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.479 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.479 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.479 * [taylor]: Taking taylor expansion of -1/2 in k 1.479 * [taylor]: Taking taylor expansion of k in k 1.479 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.479 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.479 * [taylor]: Taking taylor expansion of -2 in k 1.479 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.479 * [taylor]: Taking taylor expansion of PI in k 1.479 * [taylor]: Taking taylor expansion of n in k 1.480 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 1.480 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1.480 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.480 * [taylor]: Taking taylor expansion of -2 in k 1.480 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.480 * [taylor]: Taking taylor expansion of PI in k 1.480 * [taylor]: Taking taylor expansion of n in k 1.480 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 1.480 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.480 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.480 * [taylor]: Taking taylor expansion of -1 in k 1.480 * [taylor]: Taking taylor expansion of k in k 1.481 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.481 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.481 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.481 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.481 * [taylor]: Taking taylor expansion of -1/2 in k 1.481 * [taylor]: Taking taylor expansion of k in k 1.481 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.481 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.481 * [taylor]: Taking taylor expansion of -2 in k 1.481 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.481 * [taylor]: Taking taylor expansion of PI in k 1.481 * [taylor]: Taking taylor expansion of n in k 1.481 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* NAN (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1.481 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.481 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.481 * [taylor]: Taking taylor expansion of -2 in n 1.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.481 * [taylor]: Taking taylor expansion of PI in n 1.481 * [taylor]: Taking taylor expansion of n in n 1.482 * [taylor]: Taking taylor expansion of (* NAN (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1.482 * [taylor]: Taking taylor expansion of NAN in n 1.482 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1.482 * [taylor]: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1.482 * [taylor]: Taking taylor expansion of -1/2 in n 1.482 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1.482 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.482 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.482 * [taylor]: Taking taylor expansion of -2 in n 1.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.482 * [taylor]: Taking taylor expansion of PI in n 1.482 * [taylor]: Taking taylor expansion of n in n 1.482 * [taylor]: Taking taylor expansion of k in n 1.483 * [taylor]: Taking taylor expansion of (neg (/ (* NAN (sqrt (* -2 (/ PI n)))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1.484 * [taylor]: Taking taylor expansion of (/ (* NAN (sqrt (* -2 (/ PI n)))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1.484 * [taylor]: Taking taylor expansion of (* NAN (sqrt (* -2 (/ PI n)))) in n 1.484 * [taylor]: Taking taylor expansion of NAN in n 1.484 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1.484 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.484 * [taylor]: Taking taylor expansion of -2 in n 1.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.484 * [taylor]: Taking taylor expansion of PI in n 1.484 * [taylor]: Taking taylor expansion of n in n 1.484 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) in n 1.484 * [taylor]: Taking taylor expansion of (* -1/2 (/ (log (* -2 (/ PI n))) k)) in n 1.484 * [taylor]: Taking taylor expansion of -1/2 in n 1.484 * [taylor]: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1.484 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.484 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.484 * [taylor]: Taking taylor expansion of -2 in n 1.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.484 * [taylor]: Taking taylor expansion of PI in n 1.484 * [taylor]: Taking taylor expansion of n in n 1.484 * [taylor]: Taking taylor expansion of k in n 1.488 * * * [progress]: simplifying candidates 1.505 * [simplify]: Simplifying using # : (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 2) 2) (*.f64 (*.f64 PI.f64 PI.f64) PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) (*.f64 2 PI.f64)) (*.f64 2 PI.f64)) (*.f64 (*.f64 n n) n)) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) 1) (*.f64 PI.f64 n) (-.f64 (log.f64 (sqrt.f64 k)) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (log.f64 (sqrt.f64 k)) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)) (/.f64 k 2)))) (-.f64 (log.f64 (sqrt.f64 k)) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (log.f64 (sqrt.f64 k)) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (/.f64 k 2)))) (-.f64 (log.f64 (sqrt.f64 k)) (-.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (log.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (-.f64 (log.f64 (sqrt.f64 k)) (log.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (exp.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (neg.f64 (sqrt.f64 k)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2)))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 n (/.f64 k 2)))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 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5630 enodes (cost 30347 ) 1.666 * [simplify]: Simplified to: (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 8 (pow.f64 PI.f64 3)) (pow.f64 n 3)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 3) (*.f64 (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 3) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 2 PI.f64) (*.f64 (cbrt.f64 n) (cbrt.f64 n))) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 2 PI.f64) (*.f64 PI.f64 n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (log.f64 (*.f64 (*.f64 2 PI.f64) n)) (exp.f64 (*.f64 (*.f64 2 PI.f64) n)) (*.f64 (*.f64 8 (pow.f64 PI.f64 3)) (pow.f64 n 3)) (pow.f64 (*.f64 (*.f64 2 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(/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (log.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (exp.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (pow.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 3) (pow.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 3) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 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(/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (sqrt.f64 (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (*.f64 2 PI.f64)) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 1 (pow.f64 (*.f64 2 PI.f64) (/.f64 k 2))) (/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) 1 (/.f64 1 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) 1 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) 1 (/.f64 1 (sqrt.f64 k)) (*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (sqrt.f64 k) (*.f64 (cbrt.f64 1) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 1 (sqrt.f64 k)) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 k k) (*.f64 (log.f64 n) NAN.f64)) (*.f64 (*.f64 PI.f64 n) (sqrt.f64 2)))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 k 3) (*.f64 NAN.f64 (pow.f64 (log.f64 n) 2))) (*.f64 (*.f64 PI.f64 n) (sqrt.f64 2)))) (+.f64 (/.f64 (*.f64 k NAN.f64) (*.f64 (*.f64 PI.f64 n) (sqrt.f64 2))) (+.f64 (*.f64 1/8 (/.f64 (*.f64 (pow.f64 k 3) (*.f64 NAN.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))) (*.f64 (*.f64 PI.f64 n) (sqrt.f64 2)))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 NAN.f64 (*.f64 (pow.f64 k 3) (*.f64 (log.f64 (*.f64 2 PI.f64)) (log.f64 n)))) (*.f64 (*.f64 PI.f64 n) (sqrt.f64 2)))) (*.f64 1/2 (/.f64 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) NAN.f64)) (*.f64 (*.f64 PI.f64 n) (sqrt.f64 2))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (exp.f64 (*.f64 1/2 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) k)))) (*.f64 k (*.f64 (*.f64 n n) (*.f64 PI.f64 (*.f64 PI.f64 (sqrt.f64 2)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) k))) (pow.f64 NAN.f64 5)) (*.f64 (*.f64 k k) (*.f64 (pow.f64 n 3) (*.f64 (pow.f64 PI.f64 3) (sqrt.f64 2))))) (/.f64 (*.f64 NAN.f64 (exp.f64 (*.f64 1/2 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) k)))) (*.f64 (*.f64 PI.f64 n) (sqrt.f64 2))))) (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) PI.f64) (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (*.f64 NAN.f64 NAN.f64)) n)) (/.f64 (*.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (*.f64 NAN.f64 NAN.f64)) (*.f64 PI.f64 k))) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 2) (*.f64 n (*.f64 PI.f64 (*.f64 NAN.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2))))))) (+.f64 (*.f64 PI.f64 (*.f64 NAN.f64 (*.f64 n (sqrt.f64 2)))) (+.f64 (*.f64 1/4 (*.f64 NAN.f64 (*.f64 PI.f64 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (log.f64 n) (*.f64 n (sqrt.f64 2)))))))) (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 2) (*.f64 n (*.f64 PI.f64 (*.f64 NAN.f64 (pow.f64 (log.f64 n) 2)))))))))) (*.f64 (*.f64 1/2 k) (+.f64 (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 PI.f64 (*.f64 NAN.f64 (*.f64 n (sqrt.f64 2))))) (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 PI.f64 (*.f64 n (log.f64 n)))))))) (/.f64 (*.f64 PI.f64 (*.f64 NAN.f64 (*.f64 n (sqrt.f64 2)))) (*.f64 k (exp.f64 (*.f64 1/2 (*.f64 (log.f64 (*.f64 (*.f64 2 PI.f64) n)) k))))) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 NAN.f64 NAN.f64) k) 1) (/.f64 PI.f64 (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))))) (/.f64 (*.f64 PI.f64 (*.f64 PI.f64 (*.f64 NAN.f64 NAN.f64))) (*.f64 n (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))))) 1.675 * * * [progress]: adding candidates to table 3.402 * * [progress]: iteration 4 / 4 3.402 * * * [progress]: picking best candidate 3.427 * * * * [pick]: Picked # 3.428 * * * [progress]: localizing error 3.441 * * * [progress]: generating rewritten candidates 3.441 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.448 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 3.453 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 3.459 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.480 * * * [progress]: generating series expansions 3.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.480 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in (n) around 0 3.481 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 3.481 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in n 3.481 * [taylor]: Taking taylor expansion of (sqrt 2) in n 3.481 * [taylor]: Taking taylor expansion of 2 in n 3.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 3.481 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 3.481 * [taylor]: Taking taylor expansion of (* n PI) in n 3.481 * [taylor]: Taking taylor expansion of n in n 3.481 * [taylor]: Taking taylor expansion of PI in n 3.481 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 3.481 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in n 3.481 * [taylor]: Taking taylor expansion of (sqrt 2) in n 3.481 * [taylor]: Taking taylor expansion of 2 in n 3.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 3.481 * [taylor]: Taking taylor expansion of (/ 1 (* n PI)) in n 3.481 * [taylor]: Taking taylor expansion of (* n PI) in n 3.481 * [taylor]: Taking taylor expansion of n in n 3.481 * [taylor]: Taking taylor expansion of PI in n 3.484 * [approximate]: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n PI))) in (n) around 0 3.484 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n PI))) in n 3.484 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in n 3.484 * [taylor]: Taking taylor expansion of (sqrt 2) in n 3.484 * [taylor]: Taking taylor expansion of 2 in n 3.484 * [taylor]: Taking taylor expansion of (sqrt (/ n PI)) in n 3.484 * [taylor]: Taking taylor expansion of (/ n PI) in n 3.484 * [taylor]: Taking taylor expansion of n in n 3.484 * [taylor]: Taking taylor expansion of PI in n 3.485 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n PI))) in n 3.485 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2)) in n 3.485 * [taylor]: Taking taylor expansion of (sqrt 2) in n 3.485 * [taylor]: Taking taylor expansion of 2 in n 3.485 * [taylor]: Taking taylor expansion of (sqrt (/ n PI)) in n 3.485 * [taylor]: Taking taylor expansion of (/ n PI) in n 3.485 * [taylor]: Taking taylor expansion of n in n 3.485 * [taylor]: Taking taylor expansion of PI in n 3.488 * [approximate]: Taking taylor expansion of (/ 1 (sqrt (* -2 (/ PI n)))) in (n) around 0 3.488 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (* -2 (/ PI n)))) in n 3.488 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 3.488 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.488 * [taylor]: Taking taylor expansion of -2 in n 3.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.488 * [taylor]: Taking taylor expansion of PI in n 3.488 * [taylor]: Taking taylor expansion of n in n 3.488 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (* -2 (/ PI n)))) in n 3.488 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 3.488 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.488 * [taylor]: Taking taylor expansion of -2 in n 3.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.488 * [taylor]: Taking taylor expansion of PI in n 3.488 * [taylor]: Taking taylor expansion of n in n 3.502 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 3.502 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 3.502 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.502 * [taylor]: Taking taylor expansion of 2 in n 3.502 * [taylor]: Taking taylor expansion of (* n PI) in n 3.502 * [taylor]: Taking taylor expansion of n in n 3.502 * [taylor]: Taking taylor expansion of PI in n 3.502 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.502 * [taylor]: Taking taylor expansion of 2 in n 3.502 * [taylor]: Taking taylor expansion of (* n PI) in n 3.502 * [taylor]: Taking taylor expansion of n in n 3.502 * [taylor]: Taking taylor expansion of PI in n 3.503 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 3.503 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.503 * [taylor]: Taking taylor expansion of 2 in n 3.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.503 * [taylor]: Taking taylor expansion of PI in n 3.503 * [taylor]: Taking taylor expansion of n in n 3.504 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.504 * [taylor]: Taking taylor expansion of 2 in n 3.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.504 * [taylor]: Taking taylor expansion of PI in n 3.504 * [taylor]: Taking taylor expansion of n in n 3.505 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 3.505 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.505 * [taylor]: Taking taylor expansion of -2 in n 3.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.505 * [taylor]: Taking taylor expansion of PI in n 3.505 * [taylor]: Taking taylor expansion of n in n 3.505 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.505 * [taylor]: Taking taylor expansion of -2 in n 3.505 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.505 * [taylor]: Taking taylor expansion of PI in n 3.505 * [taylor]: Taking taylor expansion of n in n 3.506 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 3.506 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 3.506 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.507 * [taylor]: Taking taylor expansion of 2 in n 3.507 * [taylor]: Taking taylor expansion of (* n PI) in n 3.507 * [taylor]: Taking taylor expansion of n in n 3.507 * [taylor]: Taking taylor expansion of PI in n 3.507 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.507 * [taylor]: Taking taylor expansion of 2 in n 3.507 * [taylor]: Taking taylor expansion of (* n PI) in n 3.507 * [taylor]: Taking taylor expansion of n in n 3.507 * [taylor]: Taking taylor expansion of PI in n 3.508 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 3.508 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.509 * [taylor]: Taking taylor expansion of 2 in n 3.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.509 * [taylor]: Taking taylor expansion of PI in n 3.509 * [taylor]: Taking taylor expansion of n in n 3.509 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.509 * [taylor]: Taking taylor expansion of 2 in n 3.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.509 * [taylor]: Taking taylor expansion of PI in n 3.509 * [taylor]: Taking taylor expansion of n in n 3.510 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 3.510 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.510 * [taylor]: Taking taylor expansion of -2 in n 3.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.510 * [taylor]: Taking taylor expansion of PI in n 3.510 * [taylor]: Taking taylor expansion of n in n 3.510 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.510 * [taylor]: Taking taylor expansion of -2 in n 3.510 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.510 * [taylor]: Taking taylor expansion of PI in n 3.510 * [taylor]: Taking taylor expansion of n in n 3.511 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.512 * [approximate]: Taking taylor expansion of (* (sqrt (/ k (* n PI))) (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2))) in (n k) around 0 3.512 * [taylor]: Taking taylor expansion of (* (sqrt (/ k (* n PI))) (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2))) in k 3.512 * [taylor]: Taking taylor expansion of (sqrt (/ k (* n PI))) in k 3.512 * [taylor]: Taking taylor expansion of (/ k (* n PI)) in k 3.512 * [taylor]: Taking taylor expansion of k in k 3.512 * [taylor]: Taking taylor expansion of (* n PI) in k 3.512 * [taylor]: Taking taylor expansion of n in k 3.512 * [taylor]: Taking taylor expansion of PI in k 3.512 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in k 3.512 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 3.512 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 3.512 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 3.512 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 3.512 * [taylor]: Taking taylor expansion of 1/2 in k 3.512 * [taylor]: Taking taylor expansion of k in k 3.512 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 3.512 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 3.512 * [taylor]: Taking taylor expansion of 2 in k 3.512 * [taylor]: Taking taylor expansion of (* n PI) in k 3.512 * [taylor]: Taking taylor expansion of n in k 3.512 * [taylor]: Taking taylor expansion of PI in k 3.513 * [taylor]: Taking taylor expansion of (sqrt 2) in k 3.513 * [taylor]: Taking taylor expansion of 2 in k 3.513 * [taylor]: Taking taylor expansion of (* (sqrt (/ k (* n PI))) (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2))) in n 3.513 * [taylor]: Taking taylor expansion of (sqrt (/ k (* n PI))) in n 3.513 * [taylor]: Taking taylor expansion of (/ k (* n PI)) in n 3.513 * [taylor]: Taking taylor expansion of k in n 3.513 * [taylor]: Taking taylor expansion of (* n PI) in n 3.513 * [taylor]: Taking taylor expansion of n in n 3.513 * [taylor]: Taking taylor expansion of PI in n 3.513 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in n 3.513 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 3.513 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 3.513 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 3.513 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 3.513 * [taylor]: Taking taylor expansion of 1/2 in n 3.513 * [taylor]: Taking taylor expansion of k in n 3.513 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 3.513 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.513 * [taylor]: Taking taylor expansion of 2 in n 3.513 * [taylor]: Taking taylor expansion of (* n PI) in n 3.513 * [taylor]: Taking taylor expansion of n in n 3.513 * [taylor]: Taking taylor expansion of PI in n 3.514 * [taylor]: Taking taylor expansion of (sqrt 2) in n 3.514 * [taylor]: Taking taylor expansion of 2 in n 3.514 * [taylor]: Taking taylor expansion of (* (sqrt (/ k (* n PI))) (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2))) in n 3.514 * [taylor]: Taking taylor expansion of (sqrt (/ k (* n PI))) in n 3.514 * [taylor]: Taking taylor expansion of (/ k (* n PI)) in n 3.514 * [taylor]: Taking taylor expansion of k in n 3.514 * [taylor]: Taking taylor expansion of (* n PI) in n 3.514 * [taylor]: Taking taylor expansion of n in n 3.514 * [taylor]: Taking taylor expansion of PI in n 3.514 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (* n PI)) (* 1/2 k)) (sqrt 2)) in n 3.514 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 3.514 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 3.514 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 3.514 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 3.514 * [taylor]: Taking taylor expansion of 1/2 in n 3.514 * [taylor]: Taking taylor expansion of k in n 3.514 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 3.514 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 3.514 * [taylor]: Taking taylor expansion of 2 in n 3.514 * [taylor]: Taking taylor expansion of (* n PI) in n 3.514 * [taylor]: Taking taylor expansion of n in n 3.514 * [taylor]: Taking taylor expansion of PI in n 3.515 * [taylor]: Taking taylor expansion of (sqrt 2) in n 3.515 * [taylor]: Taking taylor expansion of 2 in n 3.515 * [taylor]: Taking taylor expansion of 0 in k 3.516 * [taylor]: Taking taylor expansion of (/ (* k (* NAN (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) (* PI (sqrt 2))) in k 3.516 * [taylor]: Taking taylor expansion of (* k (* NAN (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 3.516 * [taylor]: Taking taylor expansion of k in k 3.516 * [taylor]: Taking taylor expansion of (* NAN (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 3.516 * [taylor]: Taking taylor expansion of NAN in k 3.516 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 3.516 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 3.516 * [taylor]: Taking taylor expansion of 1/2 in k 3.516 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 3.516 * [taylor]: Taking taylor expansion of k in k 3.516 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 3.516 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.516 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.516 * [taylor]: Taking taylor expansion of 2 in k 3.516 * [taylor]: Taking taylor expansion of PI in k 3.516 * [taylor]: Taking taylor expansion of (log n) in k 3.516 * [taylor]: Taking taylor expansion of n in k 3.517 * [taylor]: Taking taylor expansion of (* PI (sqrt 2)) in k 3.517 * [taylor]: Taking taylor expansion of PI in k 3.517 * [taylor]: Taking taylor expansion of (sqrt 2) in k 3.517 * [taylor]: Taking taylor expansion of 2 in k 3.519 * [taylor]: Taking taylor expansion of (/ (* (pow k 2) (* (pow NAN 3) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) (* (sqrt 2) (pow PI 2))) in k 3.519 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (pow NAN 3) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 3.520 * [taylor]: Taking taylor expansion of (pow k 2) in k 3.520 * [taylor]: Taking taylor expansion of k in k 3.520 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 3.520 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 3.520 * [taylor]: Taking taylor expansion of NAN in k 3.520 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 3.520 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 3.520 * [taylor]: Taking taylor expansion of 1/2 in k 3.520 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 3.520 * [taylor]: Taking taylor expansion of k in k 3.520 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 3.520 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.520 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.520 * [taylor]: Taking taylor expansion of 2 in k 3.520 * [taylor]: Taking taylor expansion of PI in k 3.520 * [taylor]: Taking taylor expansion of (log n) in k 3.520 * [taylor]: Taking taylor expansion of n in k 3.520 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 3.520 * [taylor]: Taking taylor expansion of (sqrt 2) in k 3.520 * [taylor]: Taking taylor expansion of 2 in k 3.521 * [taylor]: Taking taylor expansion of (pow PI 2) in k 3.521 * [taylor]: Taking taylor expansion of PI in k 3.524 * [taylor]: Taking taylor expansion of (/ (* (pow k 3) (* (pow NAN 5) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) (* (pow PI 3) (sqrt 2))) in k 3.524 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (pow NAN 5) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 3.524 * [taylor]: Taking taylor expansion of (pow k 3) in k 3.524 * [taylor]: Taking taylor expansion of k in k 3.524 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 3.524 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 3.524 * [taylor]: Taking taylor expansion of NAN in k 3.524 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 3.524 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 3.524 * [taylor]: Taking taylor expansion of 1/2 in k 3.524 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 3.524 * [taylor]: Taking taylor expansion of k in k 3.524 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 3.524 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.524 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.524 * [taylor]: Taking taylor expansion of 2 in k 3.524 * [taylor]: Taking taylor expansion of PI in k 3.524 * [taylor]: Taking taylor expansion of (log n) in k 3.524 * [taylor]: Taking taylor expansion of n in k 3.525 * [taylor]: Taking taylor expansion of (* (pow PI 3) (sqrt 2)) in k 3.525 * [taylor]: Taking taylor expansion of (pow PI 3) in k 3.525 * [taylor]: Taking taylor expansion of PI in k 3.525 * [taylor]: Taking taylor expansion of (sqrt 2) in k 3.525 * [taylor]: Taking taylor expansion of 2 in k 3.532 * [taylor]: Taking taylor expansion of (/ (* (pow k 4) (* (pow NAN 7) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) (* (sqrt 2) (pow PI 4))) in k 3.532 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (pow NAN 7) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 3.532 * [taylor]: Taking taylor expansion of (pow k 4) in k 3.532 * [taylor]: Taking taylor expansion of k in k 3.532 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 3.532 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 3.532 * [taylor]: Taking taylor expansion of NAN in k 3.532 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 3.532 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 3.532 * [taylor]: Taking taylor expansion of 1/2 in k 3.532 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 3.532 * [taylor]: Taking taylor expansion of k in k 3.532 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 3.532 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.532 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.532 * [taylor]: Taking taylor expansion of 2 in k 3.532 * [taylor]: Taking taylor expansion of PI in k 3.532 * [taylor]: Taking taylor expansion of (log n) in k 3.532 * [taylor]: Taking taylor expansion of n in k 3.533 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 4)) in k 3.533 * [taylor]: Taking taylor expansion of (sqrt 2) in k 3.533 * [taylor]: Taking taylor expansion of 2 in k 3.533 * [taylor]: Taking taylor expansion of (pow PI 4) in k 3.533 * [taylor]: Taking taylor expansion of PI in k 3.535 * [approximate]: Taking taylor expansion of (* (sqrt (/ n (* k PI))) (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2))) in (n k) around 0 3.535 * [taylor]: Taking taylor expansion of (* (sqrt (/ n (* k PI))) (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2))) in k 3.535 * [taylor]: Taking taylor expansion of (sqrt (/ n (* k PI))) in k 3.535 * [taylor]: Taking taylor expansion of (/ n (* k PI)) in k 3.535 * [taylor]: Taking taylor expansion of n in k 3.535 * [taylor]: Taking taylor expansion of (* k PI) in k 3.535 * [taylor]: Taking taylor expansion of k in k 3.535 * [taylor]: Taking taylor expansion of PI in k 3.535 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in k 3.535 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 3.535 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 3.535 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 3.535 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 3.536 * [taylor]: Taking taylor expansion of 1/2 in k 3.536 * [taylor]: Taking taylor expansion of k in k 3.536 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 3.536 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 3.536 * [taylor]: Taking taylor expansion of 2 in k 3.536 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.536 * [taylor]: Taking taylor expansion of PI in k 3.536 * [taylor]: Taking taylor expansion of n in k 3.536 * [taylor]: Taking taylor expansion of (sqrt 2) in k 3.536 * [taylor]: Taking taylor expansion of 2 in k 3.536 * [taylor]: Taking taylor expansion of (* (sqrt (/ n (* k PI))) (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2))) in n 3.536 * [taylor]: Taking taylor expansion of (sqrt (/ n (* k PI))) in n 3.536 * [taylor]: Taking taylor expansion of (/ n (* k PI)) in n 3.536 * [taylor]: Taking taylor expansion of n in n 3.536 * [taylor]: Taking taylor expansion of (* k PI) in n 3.536 * [taylor]: Taking taylor expansion of k in n 3.536 * [taylor]: Taking taylor expansion of PI in n 3.536 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in n 3.536 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 3.536 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 3.536 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 3.536 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 3.536 * [taylor]: Taking taylor expansion of 1/2 in n 3.536 * [taylor]: Taking taylor expansion of k in n 3.536 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 3.536 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.536 * [taylor]: Taking taylor expansion of 2 in n 3.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.536 * [taylor]: Taking taylor expansion of PI in n 3.537 * [taylor]: Taking taylor expansion of n in n 3.537 * [taylor]: Taking taylor expansion of (sqrt 2) in n 3.537 * [taylor]: Taking taylor expansion of 2 in n 3.537 * [taylor]: Taking taylor expansion of (* (sqrt (/ n (* k PI))) (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2))) in n 3.537 * [taylor]: Taking taylor expansion of (sqrt (/ n (* k PI))) in n 3.537 * [taylor]: Taking taylor expansion of (/ n (* k PI)) in n 3.537 * [taylor]: Taking taylor expansion of n in n 3.537 * [taylor]: Taking taylor expansion of (* k PI) in n 3.537 * [taylor]: Taking taylor expansion of k in n 3.537 * [taylor]: Taking taylor expansion of PI in n 3.537 * [taylor]: Taking taylor expansion of (/ (pow (* 2 (/ PI n)) (/ 1/2 k)) (sqrt 2)) in n 3.537 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 3.537 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 3.537 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 3.537 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 3.537 * [taylor]: Taking taylor expansion of 1/2 in n 3.537 * [taylor]: Taking taylor expansion of k in n 3.537 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 3.537 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 3.537 * [taylor]: Taking taylor expansion of 2 in n 3.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.537 * [taylor]: Taking taylor expansion of PI in n 3.537 * [taylor]: Taking taylor expansion of n in n 3.538 * [taylor]: Taking taylor expansion of (sqrt 2) in n 3.538 * [taylor]: Taking taylor expansion of 2 in n 3.538 * [taylor]: Taking taylor expansion of 0 in k 3.539 * [taylor]: Taking taylor expansion of (/ (* NAN (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* k (* PI (sqrt 2)))) in k 3.539 * [taylor]: Taking taylor expansion of (* NAN (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 3.539 * [taylor]: Taking taylor expansion of NAN in k 3.539 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 3.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 3.539 * [taylor]: Taking taylor expansion of 1/2 in k 3.539 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 3.539 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 3.539 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.539 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.539 * [taylor]: Taking taylor expansion of 2 in k 3.539 * [taylor]: Taking taylor expansion of PI in k 3.539 * [taylor]: Taking taylor expansion of (log n) in k 3.539 * [taylor]: Taking taylor expansion of n in k 3.539 * [taylor]: Taking taylor expansion of k in k 3.540 * [taylor]: Taking taylor expansion of (* k (* PI (sqrt 2))) in k 3.540 * [taylor]: Taking taylor expansion of k in k 3.540 * [taylor]: Taking taylor expansion of (* PI (sqrt 2)) in k 3.540 * [taylor]: Taking taylor expansion of PI in k 3.540 * [taylor]: Taking taylor expansion of (sqrt 2) in k 3.540 * [taylor]: Taking taylor expansion of 2 in k 3.542 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 3) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (pow k 2) (* (sqrt 2) (pow PI 2)))) in k 3.542 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 3.542 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 3.542 * [taylor]: Taking taylor expansion of NAN in k 3.542 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 3.542 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 3.542 * [taylor]: Taking taylor expansion of 1/2 in k 3.542 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 3.542 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 3.542 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.542 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.542 * [taylor]: Taking taylor expansion of 2 in k 3.542 * [taylor]: Taking taylor expansion of PI in k 3.543 * [taylor]: Taking taylor expansion of (log n) in k 3.543 * [taylor]: Taking taylor expansion of n in k 3.543 * [taylor]: Taking taylor expansion of k in k 3.543 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (pow PI 2))) in k 3.543 * [taylor]: Taking taylor expansion of (pow k 2) in k 3.543 * [taylor]: Taking taylor expansion of k in k 3.543 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k 3.543 * [taylor]: Taking taylor expansion of (sqrt 2) in k 3.543 * [taylor]: Taking taylor expansion of 2 in k 3.543 * [taylor]: Taking taylor expansion of (pow PI 2) in k 3.543 * [taylor]: Taking taylor expansion of PI in k 3.548 * [taylor]: Taking taylor expansion of (/ (* (pow NAN 5) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* (pow k 3) (* (pow PI 3) (sqrt 2)))) in k 3.548 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 3.548 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 3.548 * [taylor]: Taking taylor expansion of NAN in k 3.548 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 3.548 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 3.548 * [taylor]: Taking taylor expansion of 1/2 in k 3.548 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 3.548 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 3.548 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 3.548 * [taylor]: Taking taylor expansion of (* 2 PI) in k 3.548 * [taylor]: Taking taylor expansion of 2 in k 3.548 * [taylor]: Taking taylor expansion of PI in k 3.548 * [taylor]: Taking taylor expansion of (log n) in k 3.548 * [taylor]: Taking taylor expansion of n in k 3.548 * [taylor]: Taking taylor expansion of k in k 3.549 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (pow PI 3) (sqrt 2))) in k 3.549 * [taylor]: Taking taylor expansion of (pow k 3) in k 3.549 * [taylor]: Taking taylor expansion of k in k 3.549 * [taylor]: Taking taylor expansion of (* (pow PI 3) (sqrt 2)) in k 3.549 * [taylor]: Taking taylor expansion of (pow PI 3) in k 3.549 * [taylor]: Taking taylor expansion of PI in k 3.549 * [taylor]: Taking taylor expansion of (sqrt 2) in k 3.549 * [taylor]: Taking taylor expansion of 2 in k 3.554 * [approximate]: Taking taylor expansion of (/ (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) (sqrt (* -2 (/ PI n)))) in (n k) around 0 3.554 * [taylor]: Taking taylor expansion of (/ (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) (sqrt (* -2 (/ PI n)))) in k 3.554 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 3.554 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.554 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.554 * [taylor]: Taking taylor expansion of -1 in k 3.554 * [taylor]: Taking taylor expansion of k in k 3.554 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 3.554 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 3.554 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 3.554 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 3.555 * [taylor]: Taking taylor expansion of -1/2 in k 3.555 * [taylor]: Taking taylor expansion of k in k 3.555 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 3.555 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 3.555 * [taylor]: Taking taylor expansion of -2 in k 3.555 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.555 * [taylor]: Taking taylor expansion of PI in k 3.555 * [taylor]: Taking taylor expansion of n in k 3.555 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 3.555 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 3.555 * [taylor]: Taking taylor expansion of -2 in k 3.555 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.555 * [taylor]: Taking taylor expansion of PI in k 3.555 * [taylor]: Taking taylor expansion of n in k 3.556 * [taylor]: Taking taylor expansion of (/ (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) (sqrt (* -2 (/ PI n)))) in n 3.556 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 3.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.556 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.556 * [taylor]: Taking taylor expansion of -1 in n 3.556 * [taylor]: Taking taylor expansion of k in n 3.556 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 3.556 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 3.556 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 3.556 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 3.556 * [taylor]: Taking taylor expansion of -1/2 in n 3.556 * [taylor]: Taking taylor expansion of k in n 3.556 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 3.556 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.556 * [taylor]: Taking taylor expansion of -2 in n 3.556 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.556 * [taylor]: Taking taylor expansion of PI in n 3.556 * [taylor]: Taking taylor expansion of n in n 3.556 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 3.556 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.556 * [taylor]: Taking taylor expansion of -2 in n 3.556 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.556 * [taylor]: Taking taylor expansion of PI in n 3.556 * [taylor]: Taking taylor expansion of n in n 3.557 * [taylor]: Taking taylor expansion of (/ (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) (sqrt (* -2 (/ PI n)))) in n 3.557 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 3.557 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.557 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.557 * [taylor]: Taking taylor expansion of -1 in n 3.557 * [taylor]: Taking taylor expansion of k in n 3.557 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 3.557 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 3.557 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 3.557 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 3.557 * [taylor]: Taking taylor expansion of -1/2 in n 3.557 * [taylor]: Taking taylor expansion of k in n 3.557 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 3.557 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.557 * [taylor]: Taking taylor expansion of -2 in n 3.557 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.557 * [taylor]: Taking taylor expansion of PI in n 3.557 * [taylor]: Taking taylor expansion of n in n 3.558 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 3.558 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 3.558 * [taylor]: Taking taylor expansion of -2 in n 3.558 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.558 * [taylor]: Taking taylor expansion of PI in n 3.558 * [taylor]: Taking taylor expansion of n in n 3.558 * [taylor]: Taking taylor expansion of (/ (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (* NAN PI)) in k 3.558 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 3.558 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.558 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.558 * [taylor]: Taking taylor expansion of -1 in k 3.558 * [taylor]: Taking taylor expansion of k in k 3.558 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 3.558 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 3.558 * [taylor]: Taking taylor expansion of -1/2 in k 3.558 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 3.558 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 3.558 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 3.558 * [taylor]: Taking taylor expansion of (* -2 PI) in k 3.558 * [taylor]: Taking taylor expansion of -2 in k 3.558 * [taylor]: Taking taylor expansion of PI in k 3.558 * [taylor]: Taking taylor expansion of (log n) in k 3.558 * [taylor]: Taking taylor expansion of n in k 3.559 * [taylor]: Taking taylor expansion of k in k 3.559 * [taylor]: Taking taylor expansion of (* NAN PI) in k 3.559 * [taylor]: Taking taylor expansion of NAN in k 3.559 * [taylor]: Taking taylor expansion of PI in k 3.561 * [taylor]: Taking taylor expansion of (neg (* (sqrt (/ -1 k)) (* NAN (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) in k 3.561 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (* NAN (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 3.561 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.561 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.561 * [taylor]: Taking taylor expansion of -1 in k 3.561 * [taylor]: Taking taylor expansion of k in k 3.561 * [taylor]: Taking taylor expansion of (* NAN (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 3.561 * [taylor]: Taking taylor expansion of NAN in k 3.561 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 3.561 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 3.561 * [taylor]: Taking taylor expansion of -1/2 in k 3.561 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 3.561 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 3.561 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 3.561 * [taylor]: Taking taylor expansion of (* -2 PI) in k 3.561 * [taylor]: Taking taylor expansion of -2 in k 3.561 * [taylor]: Taking taylor expansion of PI in k 3.561 * [taylor]: Taking taylor expansion of (log n) in k 3.561 * [taylor]: Taking taylor expansion of n in k 3.561 * [taylor]: Taking taylor expansion of k in k 3.564 * * * [progress]: simplifying candidates 3.566 * [simplify]: Simplifying using # : (neg.f64 1/2) (neg.f64 1) (neg.f64 (/.f64 1 2)) (neg.f64 (/.f64 1 2)) (neg.f64 (/.f64 1 2)) (neg.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (-.f64 0 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (-.f64 (log.f64 1) (log.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (log.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (exp.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (*.f64 (*.f64 1 1) 1) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) 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(/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (log.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (log.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (exp.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 3) (pow.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 3) (pow.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 3) (pow.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 3) (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (pow.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) 3) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (/.f64 (cbrt.f64 1) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (/.f64 (cbrt.f64 1) (sqrt.f64 n)) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (/.f64 (cbrt.f64 1) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (*.f64 (/.f64 (cbrt.f64 1) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 n)) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 n)) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n)))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (/.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 (*.f64 (*.f64 2 PI.f64) n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (+.f64 (/.f64 NAN.f64 (*.f64 PI.f64 (sqrt.f64 2))) (+.f64 (/.f64 (*.f64 n (pow.f64 NAN.f64 3)) (*.f64 PI.f64 (*.f64 PI.f64 (sqrt.f64 2)))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 NAN.f64 5)) (*.f64 (pow.f64 PI.f64 3) (sqrt.f64 2))))) (+.f64 (/.f64 (pow.f64 NAN.f64 5) (*.f64 (pow.f64 PI.f64 3) (*.f64 (pow.f64 n 3) (sqrt.f64 2)))) (+.f64 (/.f64 NAN.f64 (*.f64 n (*.f64 PI.f64 (sqrt.f64 2)))) (/.f64 (pow.f64 NAN.f64 3) (*.f64 (*.f64 n n) (*.f64 PI.f64 (*.f64 PI.f64 (sqrt.f64 2))))))) (+.f64 (/.f64 NAN.f64 n) (/.f64 1 (*.f64 PI.f64 NAN.f64))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (+.f64 (/.f64 (*.f64 k NAN.f64) (*.f64 PI.f64 (sqrt.f64 2))) (+.f64 (/.f64 (*.f64 (*.f64 n (pow.f64 NAN.f64 3)) (*.f64 k k)) (*.f64 PI.f64 (*.f64 PI.f64 (sqrt.f64 2)))) (*.f64 1/2 (*.f64 (/.f64 (*.f64 k k) (*.f64 PI.f64 (sqrt.f64 2))) (+.f64 (*.f64 (log.f64 n) NAN.f64) (*.f64 (log.f64 (*.f64 2 PI.f64)) NAN.f64)))))) (*.f64 (/.f64 k (*.f64 n (*.f64 PI.f64 (sqrt.f64 2)))) (*.f64 NAN.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k)))) (+.f64 (/.f64 (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (/.f64 n (*.f64 NAN.f64 NAN.f64))) (*.f64 (+.f64 (neg.f64 (/.f64 (*.f64 NAN.f64 NAN.f64) k)) 1) (/.f64 (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) PI.f64))) 3.603 * * * [progress]: adding candidates to table 3.717 * [progress]: [Phase 3 of 3] Extracting. 3.717 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 3.720 * * * [regime-changes]: Trying 3 branch expressions: ((*.f64 (*.f64 2 PI.f64) n) n k) 3.720 * * * * [regimes]: Trying to branch on (*.f64 (*.f64 2 PI.f64) n) from (# # # # # # # # # #) 3.779 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 3.835 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 3.893 * * * [regime]: Found split indices: #