27.359 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.478 * * * [progress]: [2/2] Setting up program. 0.481 * [progress]: [Phase 2 of 3] Improving. 0.481 * [simplify]: Simplifying using # : (*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2))) 0.522 * * [simplify]: iteration 0 : 5065 enodes (cost 14 ) 0.523 * [simplify]: Simplified to: (/.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 0.526 * * [progress]: iteration 1 / 4 0.526 * * * [progress]: picking best candidate 0.531 * * * * [pick]: Picked # 0.531 * * * [progress]: localizing error 0.543 * * * [progress]: generating rewritten candidates 0.543 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 0.554 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.561 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 0.571 * * * [progress]: generating series expansions 0.571 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 0.571 * [approximate]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in (n k) around 0 0.571 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.571 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.571 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.571 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.572 * [taylor]: Taking taylor expansion of 1/2 in k 0.572 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.572 * [taylor]: Taking taylor expansion of 1 in k 0.572 * [taylor]: Taking taylor expansion of k in k 0.572 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.572 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.572 * [taylor]: Taking taylor expansion of 2 in k 0.572 * [taylor]: Taking taylor expansion of (* n PI) in k 0.572 * [taylor]: Taking taylor expansion of n in k 0.572 * [taylor]: Taking taylor expansion of PI in k 0.572 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.572 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.572 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.572 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.572 * [taylor]: Taking taylor expansion of 1/2 in n 0.572 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.572 * [taylor]: Taking taylor expansion of 1 in n 0.572 * [taylor]: Taking taylor expansion of k in n 0.572 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.573 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.573 * [taylor]: Taking taylor expansion of 2 in n 0.573 * [taylor]: Taking taylor expansion of (* n PI) in n 0.573 * [taylor]: Taking taylor expansion of n in n 0.573 * [taylor]: Taking taylor expansion of PI in n 0.573 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.573 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.573 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.573 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.573 * [taylor]: Taking taylor expansion of 1/2 in n 0.573 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.573 * [taylor]: Taking taylor expansion of 1 in n 0.573 * [taylor]: Taking taylor expansion of k in n 0.573 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.573 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.573 * [taylor]: Taking taylor expansion of 2 in n 0.573 * [taylor]: Taking taylor expansion of (* n PI) in n 0.573 * [taylor]: Taking taylor expansion of n in n 0.573 * [taylor]: Taking taylor expansion of PI in n 0.574 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.574 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.574 * [taylor]: Taking taylor expansion of 1/2 in k 0.574 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.574 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.574 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.574 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.574 * [taylor]: Taking taylor expansion of 2 in k 0.574 * [taylor]: Taking taylor expansion of PI in k 0.574 * [taylor]: Taking taylor expansion of (log n) in k 0.574 * [taylor]: Taking taylor expansion of n in k 0.574 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.574 * [taylor]: Taking taylor expansion of 1 in k 0.574 * [taylor]: Taking taylor expansion of k in k 0.575 * [taylor]: Taking taylor expansion of 0 in k 0.577 * [taylor]: Taking taylor expansion of 0 in k 0.580 * [approximate]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in (n k) around 0 0.580 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.580 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.580 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.580 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.580 * [taylor]: Taking taylor expansion of 1/2 in k 0.580 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.580 * [taylor]: Taking taylor expansion of 1 in k 0.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.580 * [taylor]: Taking taylor expansion of k in k 0.580 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.580 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.580 * [taylor]: Taking taylor expansion of 2 in k 0.580 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.580 * [taylor]: Taking taylor expansion of PI in k 0.580 * [taylor]: Taking taylor expansion of n in k 0.580 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.580 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.580 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.580 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.580 * [taylor]: Taking taylor expansion of 1/2 in n 0.580 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.580 * [taylor]: Taking taylor expansion of 1 in n 0.580 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.580 * [taylor]: Taking taylor expansion of k in n 0.580 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.580 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.580 * [taylor]: Taking taylor expansion of 2 in n 0.580 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.580 * [taylor]: Taking taylor expansion of PI in n 0.580 * [taylor]: Taking taylor expansion of n in n 0.581 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.581 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.581 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.581 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.581 * [taylor]: Taking taylor expansion of 1/2 in n 0.581 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.581 * [taylor]: Taking taylor expansion of 1 in n 0.581 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.581 * [taylor]: Taking taylor expansion of k in n 0.585 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.585 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.585 * [taylor]: Taking taylor expansion of 2 in n 0.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.585 * [taylor]: Taking taylor expansion of n in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.585 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.585 * [taylor]: Taking taylor expansion of 1/2 in k 0.585 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.585 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.585 * [taylor]: Taking taylor expansion of 1 in k 0.585 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.585 * [taylor]: Taking taylor expansion of 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 0.587 * [taylor]: Taking taylor expansion of 0 in k 0.587 * [taylor]: Taking taylor expansion of 0 in k 0.589 * [taylor]: Taking taylor expansion of 0 in k 0.589 * [approximate]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in (n k) around 0 0.589 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.589 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.589 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.589 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.589 * [taylor]: Taking taylor expansion of 1/2 in k 0.589 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.589 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.589 * [taylor]: Taking taylor expansion of k in k 0.589 * [taylor]: Taking taylor expansion of 1 in k 0.589 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.589 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.589 * [taylor]: Taking taylor expansion of -2 in k 0.589 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.589 * [taylor]: Taking taylor expansion of PI in k 0.589 * [taylor]: Taking taylor expansion of n in k 0.589 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.589 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.589 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.590 * [taylor]: Taking taylor expansion of 1/2 in n 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.590 * [taylor]: Taking taylor expansion of k in n 0.590 * [taylor]: Taking taylor expansion of 1 in n 0.590 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.590 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.590 * [taylor]: Taking taylor expansion of -2 in n 0.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.590 * [taylor]: Taking taylor expansion of PI in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.590 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.590 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.590 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.590 * [taylor]: Taking taylor expansion of 1/2 in n 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.590 * [taylor]: Taking taylor expansion of k in n 0.590 * [taylor]: Taking taylor expansion of 1 in n 0.590 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.590 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.590 * [taylor]: Taking taylor expansion of -2 in n 0.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.590 * [taylor]: Taking taylor expansion of PI in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.591 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.591 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.591 * [taylor]: Taking taylor expansion of 1/2 in k 0.591 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.591 * [taylor]: Taking taylor expansion of k in k 0.591 * [taylor]: Taking taylor expansion of 1 in k 0.591 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.591 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.591 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.591 * [taylor]: Taking taylor expansion of -2 in k 0.591 * [taylor]: Taking taylor expansion of PI in k 0.591 * [taylor]: Taking taylor expansion of (log n) in k 0.591 * [taylor]: Taking taylor expansion of n in k 0.592 * [taylor]: Taking taylor expansion of 0 in k 0.593 * [taylor]: Taking taylor expansion of 0 in k 0.594 * [taylor]: Taking taylor expansion of 0 in k 0.594 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.594 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in (n k) around 0 0.594 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in k 0.594 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.594 * [taylor]: Taking taylor expansion of k in k 0.595 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in k 0.595 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in k 0.595 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in k 0.595 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in k 0.595 * [taylor]: Taking taylor expansion of 1/2 in k 0.595 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.595 * [taylor]: Taking taylor expansion of 1 in k 0.595 * [taylor]: Taking taylor expansion of k in k 0.595 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.595 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.595 * [taylor]: Taking taylor expansion of 2 in k 0.595 * [taylor]: Taking taylor expansion of (* n PI) in k 0.595 * [taylor]: Taking taylor expansion of n in k 0.595 * [taylor]: Taking taylor expansion of PI in k 0.595 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.595 * [taylor]: Taking taylor expansion of k in n 0.595 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.595 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.595 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.595 * [taylor]: Taking taylor expansion of 1/2 in n 0.595 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.595 * [taylor]: Taking taylor expansion of 1 in n 0.595 * [taylor]: Taking taylor expansion of k in n 0.595 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.595 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.595 * [taylor]: Taking taylor expansion of 2 in n 0.595 * [taylor]: Taking taylor expansion of (* n PI) in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.595 * [taylor]: Taking taylor expansion of PI in n 0.596 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (* 1/2 (- 1 k)))) in n 0.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.596 * [taylor]: Taking taylor expansion of k in n 0.596 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 (- 1 k))) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 k)) (log (* 2 (* n PI))))) in n 0.596 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 k)) (log (* 2 (* n PI)))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 k)) in n 0.596 * [taylor]: Taking taylor expansion of 1/2 in n 0.596 * [taylor]: Taking taylor expansion of (- 1 k) in n 0.596 * [taylor]: Taking taylor expansion of 1 in n 0.596 * [taylor]: Taking taylor expansion of k in n 0.596 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.596 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.596 * [taylor]: Taking taylor expansion of 2 in n 0.596 * [taylor]: Taking taylor expansion of (* n PI) in n 0.596 * [taylor]: Taking taylor expansion of n in n 0.596 * [taylor]: Taking taylor expansion of PI in n 0.597 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))))) in k 0.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.597 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.597 * [taylor]: Taking taylor expansion of k in k 0.597 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k)))) in k 0.597 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (log (* 2 PI)) (log n)) (- 1 k))) in k 0.597 * [taylor]: Taking taylor expansion of 1/2 in k 0.597 * [taylor]: Taking taylor expansion of (* (+ (log (* 2 PI)) (log n)) (- 1 k)) in k 0.597 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.597 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.597 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.597 * [taylor]: Taking taylor expansion of 2 in k 0.597 * [taylor]: Taking taylor expansion of PI in k 0.597 * [taylor]: Taking taylor expansion of (log n) in k 0.597 * [taylor]: Taking taylor expansion of n in k 0.597 * [taylor]: Taking taylor expansion of (- 1 k) in k 0.597 * [taylor]: Taking taylor expansion of 1 in k 0.597 * [taylor]: Taking taylor expansion of k in k 0.598 * [taylor]: Taking taylor expansion of 0 in k 0.600 * [taylor]: Taking taylor expansion of 0 in k 0.603 * [taylor]: Taking taylor expansion of 0 in k 0.611 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in (n k) around 0 0.611 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in k 0.611 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.611 * [taylor]: Taking taylor expansion of k in k 0.611 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in k 0.611 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in k 0.611 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in k 0.611 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in k 0.611 * [taylor]: Taking taylor expansion of 1/2 in k 0.611 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.611 * [taylor]: Taking taylor expansion of 1 in k 0.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.611 * [taylor]: Taking taylor expansion of k in k 0.611 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.611 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.611 * [taylor]: Taking taylor expansion of 2 in k 0.611 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.611 * [taylor]: Taking taylor expansion of PI in k 0.611 * [taylor]: Taking taylor expansion of n in k 0.612 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 0.612 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.612 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.612 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.612 * [taylor]: Taking taylor expansion of 1/2 in n 0.612 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.612 * [taylor]: Taking taylor expansion of 1 in n 0.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.612 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of 2 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.612 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k))))) in n 0.612 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.613 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (* 1/2 (- 1 (/ 1 k)))) in n 0.613 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n))))) in n 0.613 * [taylor]: Taking taylor expansion of (* (* 1/2 (- 1 (/ 1 k))) (log (* 2 (/ PI n)))) in n 0.613 * [taylor]: Taking taylor expansion of (* 1/2 (- 1 (/ 1 k))) in n 0.613 * [taylor]: Taking taylor expansion of 1/2 in n 0.613 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in n 0.613 * [taylor]: Taking taylor expansion of 1 in n 0.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.613 * [taylor]: Taking taylor expansion of k in n 0.613 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.613 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.613 * [taylor]: Taking taylor expansion of 2 in n 0.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.613 * [taylor]: Taking taylor expansion of PI in n 0.613 * [taylor]: Taking taylor expansion of n in n 0.613 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))))) in k 0.613 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.613 * [taylor]: Taking taylor expansion of k in k 0.613 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))))) in k 0.613 * [taylor]: Taking taylor expansion of (* 1/2 (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n)))) in k 0.613 * [taylor]: Taking taylor expansion of 1/2 in k 0.613 * [taylor]: Taking taylor expansion of (* (- 1 (/ 1 k)) (- (log (* 2 PI)) (log n))) in k 0.613 * [taylor]: Taking taylor expansion of (- 1 (/ 1 k)) in k 0.614 * [taylor]: Taking taylor expansion of 1 in k 0.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.614 * [taylor]: Taking taylor expansion of k in k 0.614 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.614 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.614 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.614 * [taylor]: Taking taylor expansion of 2 in k 0.614 * [taylor]: Taking taylor expansion of PI in k 0.614 * [taylor]: Taking taylor expansion of (log n) in k 0.614 * [taylor]: Taking taylor expansion of n in k 0.615 * [taylor]: Taking taylor expansion of 0 in k 0.616 * [taylor]: Taking taylor expansion of 0 in k 0.618 * [taylor]: Taking taylor expansion of 0 in k 0.619 * [approximate]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in (n k) around 0 0.619 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in k 0.619 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in k 0.619 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in k 0.619 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in k 0.619 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in k 0.619 * [taylor]: Taking taylor expansion of 1/2 in k 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.619 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.619 * [taylor]: Taking taylor expansion of k in k 0.619 * [taylor]: Taking taylor expansion of 1 in k 0.619 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.619 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.619 * [taylor]: Taking taylor expansion of -2 in k 0.620 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.620 * [taylor]: Taking taylor expansion of PI in k 0.620 * [taylor]: Taking taylor expansion of n in k 0.620 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.620 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.620 * [taylor]: Taking taylor expansion of -1 in k 0.620 * [taylor]: Taking taylor expansion of k in k 0.620 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 0.620 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.620 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.620 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.620 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.620 * [taylor]: Taking taylor expansion of 1/2 in n 0.620 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.620 * [taylor]: Taking taylor expansion of k in n 0.620 * [taylor]: Taking taylor expansion of 1 in n 0.620 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.620 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.620 * [taylor]: Taking taylor expansion of -2 in n 0.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.620 * [taylor]: Taking taylor expansion of PI in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.621 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.621 * [taylor]: Taking taylor expansion of -1 in n 0.621 * [taylor]: Taking taylor expansion of k in n 0.621 * [taylor]: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) (sqrt (/ -1 k))) in n 0.621 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (+ (/ 1 k) 1))) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n))))) in n 0.621 * [taylor]: Taking taylor expansion of (* (* 1/2 (+ (/ 1 k) 1)) (log (* -2 (/ PI n)))) in n 0.621 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 k) 1)) in n 0.621 * [taylor]: Taking taylor expansion of 1/2 in n 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in n 0.621 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.621 * [taylor]: Taking taylor expansion of k in n 0.621 * [taylor]: Taking taylor expansion of 1 in n 0.621 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.621 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.621 * [taylor]: Taking taylor expansion of -2 in n 0.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.622 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.622 * [taylor]: Taking taylor expansion of -1 in n 0.622 * [taylor]: Taking taylor expansion of k in n 0.622 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.622 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))))) in k 0.622 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n)))) in k 0.622 * [taylor]: Taking taylor expansion of 1/2 in k 0.622 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1) (- (log (* -2 PI)) (log n))) in k 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1) in k 0.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.622 * [taylor]: Taking taylor expansion of k in k 0.622 * [taylor]: Taking taylor expansion of 1 in k 0.622 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.622 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.622 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.622 * [taylor]: Taking taylor expansion of -2 in k 0.622 * [taylor]: Taking taylor expansion of PI in k 0.622 * [taylor]: Taking taylor expansion of (log n) in k 0.622 * [taylor]: Taking taylor expansion of n in k 0.623 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.623 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.623 * [taylor]: Taking taylor expansion of -1 in k 0.623 * [taylor]: Taking taylor expansion of k in k 0.624 * [taylor]: Taking taylor expansion of 0 in k 0.625 * [taylor]: Taking taylor expansion of 0 in k 0.627 * [taylor]: Taking taylor expansion of 0 in k 0.628 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 0.628 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.628 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.628 * [taylor]: Taking taylor expansion of 2 in n 0.628 * [taylor]: Taking taylor expansion of (* n PI) in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.628 * [taylor]: Taking taylor expansion of PI in n 0.628 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.628 * [taylor]: Taking taylor expansion of 2 in n 0.628 * [taylor]: Taking taylor expansion of (* n PI) in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.628 * [taylor]: Taking taylor expansion of PI in n 0.629 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.629 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.629 * [taylor]: Taking taylor expansion of 2 in n 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.629 * [taylor]: Taking taylor expansion of 2 in n 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.630 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.630 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.630 * [taylor]: Taking taylor expansion of -2 in n 0.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.630 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.631 * [taylor]: Taking taylor expansion of -2 in n 0.631 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.631 * [taylor]: Taking taylor expansion of PI in n 0.631 * [taylor]: Taking taylor expansion of n in n 0.632 * * * [progress]: simplifying candidates 0.633 * [simplify]: Simplifying using # : (*.f64 (+.f64 (+.f64 (log.f64 2) (log.f64 PI.f64)) (log.f64 n)) (/.f64 (-.f64 1 k) 2)) (*.f64 (+.f64 (log.f64 (*.f64 2 PI.f64)) (log.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 1 (/.f64 (-.f64 1 k) 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (*.f64 1 (/.f64 (-.f64 1 k) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 2)) (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 (*.f64 (cbrt.f64 (-.f64 1 k)) (cbrt.f64 (-.f64 1 k))) 1)) (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) (/.f64 (sqrt.f64 (-.f64 1 k)) 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))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (*.f64 (cbrt.f64 2) (cbrt.f64 2)))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) (sqrt.f64 2))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (+.f64 (sqrt.f64 1) (sqrt.f64 k)) 1)) (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 (+.f64 1 (sqrt.f64 k)) 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))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 1 1)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) 1) (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)) (log.f64 (pow.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))) (*.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))) (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 (-.f64 1 k) 2) 2)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 (/.f64 (-.f64 1 k) 2) 2)) (-.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) 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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 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) (*.f64 2 (*.f64 n PI.f64)) 0.661 * * [simplify]: iteration 0 : 5282 enodes (cost 2253 ) 0.669 * [simplify]: Simplified to: (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 (-.f64 1 k) 2)) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 (-.f64 1 k) 2)) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (/.f64 (-.f64 1 k) 2) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 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(cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (pow.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) 3) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (log.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (log.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (exp.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (pow.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 3) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (pow.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) 3) (sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.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)) (fabs.f64 (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))) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (/.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))) (pow.f64 (*.f64 2 PI.f64) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 n (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (fabs.f64 (cbrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.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 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (cbrt.f64 (sqrt.f64 k))) (/.f64 1 (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (cbrt.f64 k))) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 1 (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) 1 (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4))) (sqrt.f64 k)) (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (fabs.f64 (cbrt.f64 k))) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (/.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.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 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 (-.f64 1 k) 2))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (-.f64 1/4 (/.f64 k 4)))) (*.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)) (sqrt.f64 k)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (log.f64 (*.f64 n (*.f64 2 PI.f64))) (log.f64 (*.f64 n (*.f64 2 PI.f64))) (log.f64 (*.f64 n (*.f64 2 PI.f64))) (exp.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (*.f64 (cbrt.f64 (*.f64 n (*.f64 2 PI.f64))) (cbrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (cbrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 8 (pow.f64 (*.f64 PI.f64 n) 3)) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.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 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 k k)) (+.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (pow.f64 (log.f64 n) 2))))) (+.f64 (*.f64 1/4 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (log.f64 n) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))))))) (*.f64 (*.f64 (*.f64 k (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (log.f64 (*.f64 n (*.f64 2 PI.f64)))) -1/2))) (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (-.f64 1 k)) (sqrt.f64 (exp.f64 (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 (pow.f64 (log.f64 n) 2) NAN.f64)))) (+.f64 (*.f64 1/4 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) NAN.f64))))) (+.f64 (*.f64 k (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 NAN.f64 3))) (+.f64 (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) NAN.f64) (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) NAN.f64)))) (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 NAN.f64 5)))))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 NAN.f64 3))))) (*.f64 1/2 (+.f64 (*.f64 k (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) NAN.f64))) (+.f64 (*.f64 k (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) NAN.f64))) (*.f64 (*.f64 k k) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 NAN.f64 3))))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (-.f64 1 k)) (pow.f64 NAN.f64 3)) (*.f64 k k)) (+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (-.f64 1 k)) (pow.f64 NAN.f64 5)) (pow.f64 k 3)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (-.f64 1 k)) NAN.f64) 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 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) 0.669 * * * [progress]: adding candidates to table 0.814 * * [progress]: iteration 2 / 4 0.814 * * * [progress]: picking best candidate 0.844 * * * * [pick]: Picked # 0.844 * * * [progress]: localizing error 0.854 * * * [progress]: generating rewritten candidates 0.854 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.858 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.875 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.880 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.901 * * * [progress]: generating series expansions 0.901 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.902 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 0.902 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 0.902 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.902 * [taylor]: Taking taylor expansion of 2 in n 0.902 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.902 * [taylor]: Taking taylor expansion of (* n PI) in n 0.902 * [taylor]: Taking taylor expansion of n in n 0.902 * [taylor]: Taking taylor expansion of PI in n 0.902 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 0.902 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.902 * [taylor]: Taking taylor expansion of 2 in n 0.902 * [taylor]: Taking taylor expansion of (sqrt (* n PI)) in n 0.902 * [taylor]: Taking taylor expansion of (* n PI) in n 0.902 * [taylor]: Taking taylor expansion of n in n 0.902 * [taylor]: Taking taylor expansion of PI in n 0.904 * [approximate]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 0.904 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 0.905 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.905 * [taylor]: Taking taylor expansion of 2 in n 0.905 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 0.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.905 * [taylor]: Taking taylor expansion of PI in n 0.905 * [taylor]: Taking taylor expansion of n in n 0.905 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 0.905 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.905 * [taylor]: Taking taylor expansion of 2 in n 0.905 * [taylor]: Taking taylor expansion of (sqrt (/ PI n)) in n 0.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.905 * [taylor]: Taking taylor expansion of PI in n 0.905 * [taylor]: Taking taylor expansion of n in n 0.907 * [approximate]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 0.907 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 0.907 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.907 * [taylor]: Taking taylor expansion of -2 in n 0.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.907 * [taylor]: Taking taylor expansion of PI in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.907 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 0.907 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.907 * [taylor]: Taking taylor expansion of -2 in n 0.907 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.907 * [taylor]: Taking taylor expansion of PI in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.909 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.909 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 0.909 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 0.909 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 0.909 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.909 * [taylor]: Taking taylor expansion of 2 in k 0.909 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 0.909 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 0.909 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 0.909 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 0.909 * [taylor]: Taking taylor expansion of 1/2 in k 0.909 * [taylor]: Taking taylor expansion of k in k 0.909 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 0.909 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 0.909 * [taylor]: Taking taylor expansion of 2 in k 0.909 * [taylor]: Taking taylor expansion of (* n PI) in k 0.909 * [taylor]: Taking taylor expansion of n in k 0.909 * [taylor]: Taking taylor expansion of PI in k 0.910 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 0.910 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 0.910 * [taylor]: Taking taylor expansion of (* n PI) in k 0.910 * [taylor]: Taking taylor expansion of n in k 0.910 * [taylor]: Taking taylor expansion of PI in k 0.910 * [taylor]: Taking taylor expansion of k in k 0.910 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 0.910 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 0.910 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.910 * [taylor]: Taking taylor expansion of 2 in n 0.910 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 0.910 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 0.910 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 0.910 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 0.910 * [taylor]: Taking taylor expansion of 1/2 in n 0.910 * [taylor]: Taking taylor expansion of k in n 0.910 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 0.910 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.910 * [taylor]: Taking taylor expansion of 2 in n 0.910 * [taylor]: Taking taylor expansion of (* n PI) in n 0.910 * [taylor]: Taking taylor expansion of n in n 0.910 * [taylor]: Taking taylor expansion of PI in n 0.910 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 0.911 * [taylor]: Taking taylor expansion of (/ (* n PI) k) 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 k in n 0.911 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 0.911 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 0.911 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.911 * [taylor]: Taking taylor expansion of 2 in n 0.911 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 0.911 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 0.911 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 0.911 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 0.911 * [taylor]: Taking taylor expansion of 1/2 in n 0.911 * [taylor]: Taking taylor expansion of k in n 0.911 * [taylor]: Taking taylor expansion of (log (* 2 (* n 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 0.911 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 0.911 * [taylor]: Taking taylor expansion of (/ (* n PI) k) 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 k in n 0.912 * [taylor]: Taking taylor expansion of 0 in k 0.913 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* NAN PI)) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 0.913 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 0.913 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.913 * [taylor]: Taking taylor expansion of 2 in k 0.913 * [taylor]: Taking taylor expansion of (* NAN PI) in k 0.913 * [taylor]: Taking taylor expansion of NAN in k 0.913 * [taylor]: Taking taylor expansion of PI in k 0.913 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 0.913 * [taylor]: Taking taylor expansion of k in k 0.913 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 0.913 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 0.913 * [taylor]: Taking taylor expansion of 1/2 in k 0.913 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 0.913 * [taylor]: Taking taylor expansion of k in k 0.913 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.913 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.913 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.913 * [taylor]: Taking taylor expansion of 2 in k 0.913 * [taylor]: Taking taylor expansion of PI in k 0.913 * [taylor]: Taking taylor expansion of (log n) in k 0.913 * [taylor]: Taking taylor expansion of n in k 0.916 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 0.916 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 0.916 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.916 * [taylor]: Taking taylor expansion of 2 in k 0.916 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 0.916 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 0.916 * [taylor]: Taking taylor expansion of NAN in k 0.916 * [taylor]: Taking taylor expansion of (pow PI 2) in k 0.916 * [taylor]: Taking taylor expansion of PI in k 0.916 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 0.916 * [taylor]: Taking taylor expansion of (pow k 2) in k 0.916 * [taylor]: Taking taylor expansion of k in k 0.916 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 0.916 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 0.916 * [taylor]: Taking taylor expansion of 1/2 in k 0.916 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 0.916 * [taylor]: Taking taylor expansion of k in k 0.916 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 0.916 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.916 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.916 * [taylor]: Taking taylor expansion of 2 in k 0.916 * [taylor]: Taking taylor expansion of PI in k 0.916 * [taylor]: Taking taylor expansion of (log n) in k 0.916 * [taylor]: Taking taylor expansion of n in k 0.922 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 0.922 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 0.922 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 0.922 * [taylor]: Taking taylor expansion of (/ (* PI k) n) in k 0.922 * [taylor]: Taking taylor expansion of (* PI k) in k 0.922 * [taylor]: Taking taylor expansion of PI in k 0.922 * [taylor]: Taking taylor expansion of k in k 0.922 * [taylor]: Taking taylor expansion of n in k 0.922 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 0.923 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.923 * [taylor]: Taking taylor expansion of 2 in k 0.923 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 0.923 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 0.923 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 0.923 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 0.923 * [taylor]: Taking taylor expansion of 1/2 in k 0.923 * [taylor]: Taking taylor expansion of k in k 0.923 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 0.923 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 0.923 * [taylor]: Taking taylor expansion of 2 in k 0.923 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.923 * [taylor]: Taking taylor expansion of PI in k 0.923 * [taylor]: Taking taylor expansion of n in k 0.923 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 0.923 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 0.923 * [taylor]: Taking taylor expansion of (/ (* PI k) n) in n 0.923 * [taylor]: Taking taylor expansion of (* PI k) in n 0.923 * [taylor]: Taking taylor expansion of PI in n 0.923 * [taylor]: Taking taylor expansion of k in n 0.923 * [taylor]: Taking taylor expansion of n in n 0.923 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 0.923 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.923 * [taylor]: Taking taylor expansion of 2 in n 0.923 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 0.923 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 0.923 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) 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 0.924 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.924 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.924 * [taylor]: Taking taylor expansion of 2 in n 0.924 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.924 * [taylor]: Taking taylor expansion of PI in n 0.924 * [taylor]: Taking taylor expansion of n in n 0.924 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* PI k) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 0.924 * [taylor]: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 0.924 * [taylor]: Taking taylor expansion of (/ (* PI k) n) in n 0.924 * [taylor]: Taking taylor expansion of (* PI k) in n 0.924 * [taylor]: Taking taylor expansion of PI in n 0.924 * [taylor]: Taking taylor expansion of k in n 0.924 * [taylor]: Taking taylor expansion of n in n 0.924 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 0.924 * [taylor]: Taking taylor expansion of (sqrt 2) in n 0.924 * [taylor]: Taking taylor expansion of 2 in n 0.924 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 0.924 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 0.924 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 0.924 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 0.924 * [taylor]: Taking taylor expansion of 1/2 in n 0.924 * [taylor]: Taking taylor expansion of k in n 0.924 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 0.924 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.924 * [taylor]: Taking taylor expansion of 2 in n 0.924 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.924 * [taylor]: Taking taylor expansion of PI in n 0.924 * [taylor]: Taking taylor expansion of n in n 0.925 * [taylor]: Taking taylor expansion of 0 in k 0.926 * [taylor]: Taking taylor expansion of (/ (* k (* (sqrt 2) (* NAN PI))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.926 * [taylor]: Taking taylor expansion of (* k (* (sqrt 2) (* NAN PI))) in k 0.926 * [taylor]: Taking taylor expansion of k in k 0.926 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 0.926 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.926 * [taylor]: Taking taylor expansion of 2 in k 0.926 * [taylor]: Taking taylor expansion of (* NAN PI) in k 0.926 * [taylor]: Taking taylor expansion of NAN in k 0.926 * [taylor]: Taking taylor expansion of PI in k 0.926 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.926 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.926 * [taylor]: Taking taylor expansion of 1/2 in k 0.926 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.926 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.926 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.926 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.926 * [taylor]: Taking taylor expansion of 2 in k 0.926 * [taylor]: Taking taylor expansion of PI in k 0.926 * [taylor]: Taking taylor expansion of (log n) in k 0.926 * [taylor]: Taking taylor expansion of n in k 0.926 * [taylor]: Taking taylor expansion of k in k 0.929 * [taylor]: Taking taylor expansion of (/ (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.929 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) in k 0.929 * [taylor]: Taking taylor expansion of (pow k 2) in k 0.929 * [taylor]: Taking taylor expansion of k in k 0.929 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 0.929 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.929 * [taylor]: Taking taylor expansion of 2 in k 0.929 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 0.929 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 0.929 * [taylor]: Taking taylor expansion of NAN in k 0.929 * [taylor]: Taking taylor expansion of (pow PI 2) in k 0.929 * [taylor]: Taking taylor expansion of PI in k 0.929 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.929 * [taylor]: Taking taylor expansion of 1/2 in k 0.929 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.929 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.929 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.929 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.929 * [taylor]: Taking taylor expansion of 2 in k 0.929 * [taylor]: Taking taylor expansion of PI in k 0.929 * [taylor]: Taking taylor expansion of (log n) in k 0.929 * [taylor]: Taking taylor expansion of n in k 0.929 * [taylor]: Taking taylor expansion of k in k 0.933 * [taylor]: Taking taylor expansion of (/ (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.933 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) in k 0.933 * [taylor]: Taking taylor expansion of (pow k 3) in k 0.933 * [taylor]: Taking taylor expansion of k in k 0.933 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in k 0.933 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.933 * [taylor]: Taking taylor expansion of 2 in k 0.933 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 0.933 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 0.933 * [taylor]: Taking taylor expansion of NAN in k 0.933 * [taylor]: Taking taylor expansion of (pow PI 3) in k 0.933 * [taylor]: Taking taylor expansion of PI in k 0.933 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.933 * [taylor]: Taking taylor expansion of 1/2 in k 0.933 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.933 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.933 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.933 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.933 * [taylor]: Taking taylor expansion of 2 in k 0.933 * [taylor]: Taking taylor expansion of PI in k 0.933 * [taylor]: Taking taylor expansion of (log n) in k 0.933 * [taylor]: Taking taylor expansion of n in k 0.933 * [taylor]: Taking taylor expansion of k in k 0.939 * [taylor]: Taking taylor expansion of (/ (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.939 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) in k 0.939 * [taylor]: Taking taylor expansion of (pow k 4) in k 0.939 * [taylor]: Taking taylor expansion of k in k 0.939 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 7) (pow PI 4))) in k 0.939 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.939 * [taylor]: Taking taylor expansion of 2 in k 0.939 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 0.939 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 0.939 * [taylor]: Taking taylor expansion of NAN in k 0.939 * [taylor]: Taking taylor expansion of (pow PI 4) 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 0.945 * [taylor]: Taking taylor expansion of (/ (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.945 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) in k 0.945 * [taylor]: Taking taylor expansion of (pow k 5) in k 0.945 * [taylor]: Taking taylor expansion of k in k 0.945 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 9) (pow PI 5))) in k 0.946 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.946 * [taylor]: Taking taylor expansion of 2 in k 0.946 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 0.946 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 0.946 * [taylor]: Taking taylor expansion of NAN in k 0.946 * [taylor]: Taking taylor expansion of (pow PI 5) in k 0.946 * [taylor]: Taking taylor expansion of PI in k 0.946 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.946 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.946 * [taylor]: Taking taylor expansion of 1/2 in k 0.946 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.946 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.946 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.946 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.946 * [taylor]: Taking taylor expansion of 2 in k 0.946 * [taylor]: Taking taylor expansion of PI in k 0.946 * [taylor]: Taking taylor expansion of (log n) in k 0.946 * [taylor]: Taking taylor expansion of n in k 0.946 * [taylor]: Taking taylor expansion of k in k 0.954 * [taylor]: Taking taylor expansion of (/ (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 0.954 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) in k 0.954 * [taylor]: Taking taylor expansion of (pow k 6) in k 0.954 * [taylor]: Taking taylor expansion of k in k 0.954 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 11) (pow PI 6))) in k 0.954 * [taylor]: Taking taylor expansion of (sqrt 2) in k 0.955 * [taylor]: Taking taylor expansion of 2 in k 0.955 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 0.955 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 0.955 * [taylor]: Taking taylor expansion of NAN in k 0.955 * [taylor]: Taking taylor expansion of (pow PI 6) in k 0.955 * [taylor]: Taking taylor expansion of PI in k 0.955 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 0.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 0.955 * [taylor]: Taking taylor expansion of 1/2 in k 0.955 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 0.955 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 0.955 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 0.955 * [taylor]: Taking taylor expansion of (* 2 PI) in k 0.955 * [taylor]: Taking taylor expansion of 2 in k 0.955 * [taylor]: Taking taylor expansion of PI in k 0.955 * [taylor]: Taking taylor expansion of (log n) in k 0.955 * [taylor]: Taking taylor expansion of n in k 0.955 * [taylor]: Taking taylor expansion of k in k 0.958 * [approximate]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in (n k) around 0 0.958 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in k 0.958 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 0.958 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.958 * [taylor]: Taking taylor expansion of -2 in k 0.958 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.958 * [taylor]: Taking taylor expansion of PI in k 0.958 * [taylor]: Taking taylor expansion of n in k 0.958 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in k 0.958 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.958 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.958 * [taylor]: Taking taylor expansion of -1 in k 0.958 * [taylor]: Taking taylor expansion of k in k 0.958 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 0.958 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 0.958 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 0.958 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 0.958 * [taylor]: Taking taylor expansion of -1/2 in k 0.958 * [taylor]: Taking taylor expansion of k in k 0.959 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 0.959 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 0.959 * [taylor]: Taking taylor expansion of -2 in k 0.959 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.959 * [taylor]: Taking taylor expansion of PI in k 0.959 * [taylor]: Taking taylor expansion of n in k 0.959 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 0.959 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 0.959 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.959 * [taylor]: Taking taylor expansion of -2 in n 0.959 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.959 * [taylor]: Taking taylor expansion of PI in n 0.959 * [taylor]: Taking taylor expansion of n in n 0.959 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 0.959 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.959 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.959 * [taylor]: Taking taylor expansion of -1 in n 0.959 * [taylor]: Taking taylor expansion of k in n 0.959 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 0.960 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 0.960 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 0.960 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 0.960 * [taylor]: Taking taylor expansion of -1/2 in n 0.960 * [taylor]: Taking taylor expansion of k in n 0.960 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.960 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.960 * [taylor]: Taking taylor expansion of -2 in n 0.960 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.960 * [taylor]: Taking taylor expansion of PI in n 0.960 * [taylor]: Taking taylor expansion of n in n 0.960 * [taylor]: Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k)))) in n 0.960 * [taylor]: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 0.960 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.960 * [taylor]: Taking taylor expansion of -2 in n 0.960 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.960 * [taylor]: Taking taylor expansion of PI in n 0.960 * [taylor]: Taking taylor expansion of n in n 0.960 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (/ -1/2 k))) in n 0.960 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.960 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.960 * [taylor]: Taking taylor expansion of -1 in n 0.960 * [taylor]: Taking taylor expansion of k in n 0.961 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 0.961 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 0.961 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 0.961 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 0.961 * [taylor]: Taking taylor expansion of -1/2 in n 0.961 * [taylor]: Taking taylor expansion of k in n 0.961 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 0.961 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.961 * [taylor]: Taking taylor expansion of -2 in n 0.961 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.961 * [taylor]: Taking taylor expansion of PI in n 0.961 * [taylor]: Taking taylor expansion of n in n 0.961 * [taylor]: Taking taylor expansion of (/ (* NAN PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 0.961 * [taylor]: Taking taylor expansion of (* NAN PI) in k 0.961 * [taylor]: Taking taylor expansion of NAN in k 0.961 * [taylor]: Taking taylor expansion of PI in k 0.961 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 0.961 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.961 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.961 * [taylor]: Taking taylor expansion of -1 in k 0.961 * [taylor]: Taking taylor expansion of k in k 0.962 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 0.962 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 0.962 * [taylor]: Taking taylor expansion of -1/2 in k 0.962 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 0.962 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.962 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.962 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.962 * [taylor]: Taking taylor expansion of -2 in k 0.962 * [taylor]: Taking taylor expansion of PI in k 0.962 * [taylor]: Taking taylor expansion of (log n) in k 0.962 * [taylor]: Taking taylor expansion of n in k 0.962 * [taylor]: Taking taylor expansion of k in k 0.964 * [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 0.964 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 0.964 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 0.964 * [taylor]: Taking taylor expansion of NAN in k 0.964 * [taylor]: Taking taylor expansion of (pow PI 2) in k 0.964 * [taylor]: Taking taylor expansion of PI in k 0.964 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 0.964 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.964 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.964 * [taylor]: Taking taylor expansion of -1 in k 0.964 * [taylor]: Taking taylor expansion of k in k 0.964 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 0.964 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 0.964 * [taylor]: Taking taylor expansion of -1/2 in k 0.964 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 0.964 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 0.964 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 0.964 * [taylor]: Taking taylor expansion of (* -2 PI) in k 0.964 * [taylor]: Taking taylor expansion of -2 in k 0.964 * [taylor]: Taking taylor expansion of PI in k 0.964 * [taylor]: Taking taylor expansion of (log n) in k 0.964 * [taylor]: Taking taylor expansion of n in k 0.964 * [taylor]: Taking taylor expansion of k in k 0.967 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.967 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.967 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.967 * [taylor]: Taking taylor expansion of 2 in n 0.967 * [taylor]: Taking taylor expansion of (* n PI) in n 0.967 * [taylor]: Taking taylor expansion of n in n 0.967 * [taylor]: Taking taylor expansion of PI in n 0.967 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.967 * [taylor]: Taking taylor expansion of 2 in n 0.967 * [taylor]: Taking taylor expansion of (* n PI) in n 0.967 * [taylor]: Taking taylor expansion of n in n 0.967 * [taylor]: Taking taylor expansion of PI in n 0.968 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 0.968 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.968 * [taylor]: Taking taylor expansion of 2 in n 0.968 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.968 * [taylor]: Taking taylor expansion of PI in n 0.968 * [taylor]: Taking taylor expansion of n in n 0.968 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 0.968 * [taylor]: Taking taylor expansion of 2 in n 0.968 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.968 * [taylor]: Taking taylor expansion of PI in n 0.968 * [taylor]: Taking taylor expansion of n in n 0.973 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.973 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.973 * [taylor]: Taking taylor expansion of -2 in n 0.973 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.973 * [taylor]: Taking taylor expansion of PI in n 0.973 * [taylor]: Taking taylor expansion of n in n 0.973 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.973 * [taylor]: Taking taylor expansion of -2 in n 0.973 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.973 * [taylor]: Taking taylor expansion of PI in n 0.973 * [taylor]: Taking taylor expansion of n in n 0.974 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.974 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 0.974 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.974 * [taylor]: Taking taylor expansion of 2 in n 0.974 * [taylor]: Taking taylor expansion of (* n PI) in n 0.974 * [taylor]: Taking taylor expansion of n in n 0.974 * [taylor]: Taking taylor expansion of PI in n 0.974 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 0.974 * [taylor]: Taking taylor expansion of 2 in n 0.974 * [taylor]: Taking taylor expansion of (* n PI) in n 0.974 * [taylor]: Taking taylor expansion of n in n 0.974 * [taylor]: Taking taylor expansion of PI in n 0.975 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 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 0.975 * [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 0.976 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 0.976 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.976 * [taylor]: Taking taylor expansion of -2 in n 0.977 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.977 * [taylor]: Taking taylor expansion of PI in n 0.977 * [taylor]: Taking taylor expansion of n in n 0.977 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 0.977 * [taylor]: Taking taylor expansion of -2 in n 0.977 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.977 * [taylor]: Taking taylor expansion of PI in n 0.977 * [taylor]: Taking taylor expansion of n in n 0.978 * * * [progress]: simplifying candidates 0.982 * [simplify]: Simplifying using # : (log.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (exp.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (sqrt.f64 n) (sqrt.f64 (*.f64 2 PI.f64)) (/.f64 1 2) (/.f64 1 2) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (*.f64 (+.f64 (log.f64 n) (+.f64 (log.f64 2) (log.f64 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (log.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (log.f64 (sqrt.f64 k))) (-.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (log.f64 (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (exp.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (sqrt.f64 (*.f64 n (*.f64 2 PI.f64)))) (*.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (neg.f64 (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 2 PI.f64))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (/.f64 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NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 n PI.f64))) k) (*.f64 -1/2 (+.f64 (/.f64 (*.f64 (log.f64 n) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 n n) (*.f64 PI.f64 PI.f64))))) k) (/.f64 (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 n n) (*.f64 PI.f64 PI.f64))))) k)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) NAN.f64) (+.f64 (*.f64 PI.f64 (*.f64 n (log.f64 n))) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 n PI.f64)))) -1/2)) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 PI.f64 PI.f64) (pow.f64 NAN.f64 3))) (*.f64 n (*.f64 (*.f64 k k) (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) k))))) (+.f64 (/.f64 (*.f64 (pow.f64 PI.f64 3) (*.f64 (sqrt.f64 2) (pow.f64 NAN.f64 5))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) k)) (*.f64 (*.f64 n n) (pow.f64 k 3)))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 PI.f64 NAN.f64)) (*.f64 k (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) k)))))) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 NAN.f64 NAN.f64) k) 1) (/.f64 PI.f64 (sqrt.f64 (exp.f64 (*.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 (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))))) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) (*.f64 n (*.f64 2 PI.f64)) 1.055 * * * [progress]: adding candidates to table 1.365 * * [progress]: iteration 3 / 4 1.365 * * * [progress]: picking best candidate 1.391 * * * * [pick]: Picked # 1.391 * * * [progress]: localizing error 1.404 * * * [progress]: generating rewritten candidates 1.404 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 1.407 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.421 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.471 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.505 * * * [progress]: generating series expansions 1.505 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 1.505 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.506 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ PI k))) in (n k) around 0 1.506 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ PI k))) in k 1.506 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1.506 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.506 * [taylor]: Taking taylor expansion of 2 in k 1.506 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.506 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.506 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.506 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.506 * [taylor]: Taking taylor expansion of 1/2 in k 1.506 * [taylor]: Taking taylor expansion of k in k 1.506 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.506 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.506 * [taylor]: Taking taylor expansion of 2 in k 1.506 * [taylor]: Taking taylor expansion of (* n PI) in k 1.506 * [taylor]: Taking taylor expansion of n in k 1.506 * [taylor]: Taking taylor expansion of PI in k 1.507 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in k 1.507 * [taylor]: Taking taylor expansion of (/ PI k) in k 1.507 * [taylor]: Taking taylor expansion of PI in k 1.507 * [taylor]: Taking taylor expansion of k in k 1.507 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ PI k))) in n 1.507 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.507 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.507 * [taylor]: Taking taylor expansion of 2 in n 1.507 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.507 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.507 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.507 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.507 * [taylor]: Taking taylor expansion of 1/2 in n 1.507 * [taylor]: Taking taylor expansion of k in n 1.507 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.507 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.507 * [taylor]: Taking taylor expansion of 2 in n 1.507 * [taylor]: Taking taylor expansion of (* n PI) in n 1.507 * [taylor]: Taking taylor expansion of n in n 1.507 * [taylor]: Taking taylor expansion of PI in n 1.507 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in n 1.507 * [taylor]: Taking taylor expansion of (/ PI k) in n 1.507 * [taylor]: Taking taylor expansion of PI in n 1.507 * [taylor]: Taking taylor expansion of k in n 1.508 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ PI k))) in n 1.508 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.508 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.508 * [taylor]: Taking taylor expansion of 2 in n 1.508 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.508 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.508 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.508 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.508 * [taylor]: Taking taylor expansion of 1/2 in n 1.508 * [taylor]: Taking taylor expansion of k in n 1.508 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.508 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.508 * [taylor]: Taking taylor expansion of 2 in n 1.508 * [taylor]: Taking taylor expansion of (* n PI) in n 1.508 * [taylor]: Taking taylor expansion of n in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in n 1.508 * [taylor]: Taking taylor expansion of (/ PI k) in n 1.508 * [taylor]: Taking taylor expansion of PI in n 1.508 * [taylor]: Taking taylor expansion of k in n 1.509 * [taylor]: Taking taylor expansion of (* (sqrt (/ PI k)) (/ (sqrt 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 1.509 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in k 1.509 * [taylor]: Taking taylor expansion of (/ PI k) in k 1.509 * [taylor]: Taking taylor expansion of PI in k 1.509 * [taylor]: Taking taylor expansion of k in k 1.509 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 1.509 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.509 * [taylor]: Taking taylor expansion of 2 in k 1.509 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.509 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.509 * [taylor]: Taking taylor expansion of 1/2 in k 1.509 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.509 * [taylor]: Taking taylor expansion of k in k 1.509 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 1.509 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.509 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.509 * [taylor]: Taking taylor expansion of 2 in k 1.509 * [taylor]: Taking taylor expansion of PI in k 1.509 * [taylor]: Taking taylor expansion of (log n) in k 1.509 * [taylor]: Taking taylor expansion of n in k 1.511 * [taylor]: Taking taylor expansion of 0 in k 1.512 * [taylor]: Taking taylor expansion of 0 in k 1.517 * [taylor]: Taking taylor expansion of 0 in k 1.530 * [approximate]: Taking taylor expansion of (* (sqrt (* PI k)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 1.530 * [taylor]: Taking taylor expansion of (* (sqrt (* PI k)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 1.530 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in k 1.530 * [taylor]: Taking taylor expansion of (* PI k) in k 1.530 * [taylor]: Taking taylor expansion of PI in k 1.530 * [taylor]: Taking taylor expansion of k in k 1.530 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1.530 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.530 * [taylor]: Taking taylor expansion of 2 in k 1.530 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.530 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.530 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.530 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.530 * [taylor]: Taking taylor expansion of 1/2 in k 1.530 * [taylor]: Taking taylor expansion of k in k 1.530 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.530 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.530 * [taylor]: Taking taylor expansion of 2 in k 1.530 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.530 * [taylor]: Taking taylor expansion of PI in k 1.530 * [taylor]: Taking taylor expansion of n in k 1.531 * [taylor]: Taking taylor expansion of (* (sqrt (* PI k)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.531 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in n 1.531 * [taylor]: Taking taylor expansion of (* PI k) in n 1.531 * [taylor]: Taking taylor expansion of PI in n 1.531 * [taylor]: Taking taylor expansion of k in n 1.531 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.531 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.531 * [taylor]: Taking taylor expansion of 2 in n 1.531 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.531 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.531 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.531 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.531 * [taylor]: Taking taylor expansion of 1/2 in n 1.531 * [taylor]: Taking taylor expansion of k in n 1.531 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.531 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.531 * [taylor]: Taking taylor expansion of 2 in n 1.531 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.531 * [taylor]: Taking taylor expansion of PI in n 1.531 * [taylor]: Taking taylor expansion of n in n 1.531 * [taylor]: Taking taylor expansion of (* (sqrt (* PI k)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.531 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in n 1.531 * [taylor]: Taking taylor expansion of (* PI k) in n 1.532 * [taylor]: Taking taylor expansion of PI in n 1.532 * [taylor]: Taking taylor expansion of k in n 1.532 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.532 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.532 * [taylor]: Taking taylor expansion of 2 in n 1.532 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.532 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.532 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.532 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.532 * [taylor]: Taking taylor expansion of 1/2 in n 1.532 * [taylor]: Taking taylor expansion of k in n 1.532 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.532 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.532 * [taylor]: Taking taylor expansion of 2 in n 1.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.532 * [taylor]: Taking taylor expansion of PI in n 1.532 * [taylor]: Taking taylor expansion of n in n 1.532 * [taylor]: Taking taylor expansion of (* (sqrt (* k PI)) (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 1.532 * [taylor]: Taking taylor expansion of (sqrt (* k PI)) in k 1.532 * [taylor]: Taking taylor expansion of (* k PI) in k 1.533 * [taylor]: Taking taylor expansion of k in k 1.533 * [taylor]: Taking taylor expansion of PI in k 1.533 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.533 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.533 * [taylor]: Taking taylor expansion of 2 in k 1.533 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.533 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.533 * [taylor]: Taking taylor expansion of 1/2 in k 1.533 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.533 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.533 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.533 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.533 * [taylor]: Taking taylor expansion of 2 in k 1.533 * [taylor]: Taking taylor expansion of PI in k 1.533 * [taylor]: Taking taylor expansion of (log n) in k 1.533 * [taylor]: Taking taylor expansion of n in k 1.533 * [taylor]: Taking taylor expansion of k in k 1.534 * [taylor]: Taking taylor expansion of 0 in k 1.541 * [taylor]: Taking taylor expansion of 0 in k 1.544 * [taylor]: Taking taylor expansion of 0 in k 1.547 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in (n k) around 0 1.547 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in k 1.547 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 1.547 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.547 * [taylor]: Taking taylor expansion of 2 in k 1.547 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1.547 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.547 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.547 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.547 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.547 * [taylor]: Taking taylor expansion of -1/2 in k 1.547 * [taylor]: Taking taylor expansion of k in k 1.548 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.548 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.548 * [taylor]: Taking taylor expansion of -2 in k 1.548 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.548 * [taylor]: Taking taylor expansion of PI in k 1.548 * [taylor]: Taking taylor expansion of n in k 1.548 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.548 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.548 * [taylor]: Taking taylor expansion of -1 in k 1.548 * [taylor]: Taking taylor expansion of k in k 1.548 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.548 * [taylor]: Taking taylor expansion of PI in k 1.548 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n 1.548 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1.548 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.548 * [taylor]: Taking taylor expansion of 2 in n 1.549 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1.549 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.549 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.549 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.549 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.549 * [taylor]: Taking taylor expansion of -1/2 in n 1.549 * [taylor]: Taking taylor expansion of k in n 1.549 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.549 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.549 * [taylor]: Taking taylor expansion of -2 in n 1.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.549 * [taylor]: Taking taylor expansion of PI in n 1.549 * [taylor]: Taking taylor expansion of n in n 1.549 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.549 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.549 * [taylor]: Taking taylor expansion of -1 in n 1.549 * [taylor]: Taking taylor expansion of k in n 1.549 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.549 * [taylor]: Taking taylor expansion of PI in n 1.550 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n 1.550 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1.550 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.550 * [taylor]: Taking taylor expansion of 2 in n 1.550 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1.550 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.550 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.550 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.550 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.550 * [taylor]: Taking taylor expansion of -1/2 in n 1.550 * [taylor]: Taking taylor expansion of k in n 1.550 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.550 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.550 * [taylor]: Taking taylor expansion of -2 in n 1.550 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.550 * [taylor]: Taking taylor expansion of PI in n 1.550 * [taylor]: Taking taylor expansion of n in n 1.550 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.550 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.550 * [taylor]: Taking taylor expansion of -1 in n 1.550 * [taylor]: Taking taylor expansion of k in n 1.551 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.551 * [taylor]: Taking taylor expansion of PI in n 1.551 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (sqrt PI)) in k 1.551 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1.551 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.551 * [taylor]: Taking taylor expansion of 2 in k 1.551 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1.551 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.551 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.551 * [taylor]: Taking taylor expansion of -1 in k 1.551 * [taylor]: Taking taylor expansion of k in k 1.551 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.551 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.551 * [taylor]: Taking taylor expansion of -1/2 in k 1.551 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.551 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.551 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.551 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.551 * [taylor]: Taking taylor expansion of -2 in k 1.551 * [taylor]: Taking taylor expansion of PI in k 1.552 * [taylor]: Taking taylor expansion of (log n) in k 1.552 * [taylor]: Taking taylor expansion of n in k 1.552 * [taylor]: Taking taylor expansion of k in k 1.552 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.552 * [taylor]: Taking taylor expansion of PI in k 1.554 * [taylor]: Taking taylor expansion of 0 in k 1.557 * [taylor]: Taking taylor expansion of 0 in k 1.561 * [taylor]: Taking taylor expansion of 0 in k 1.562 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.562 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 1.562 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 1.562 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 1.562 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.562 * [taylor]: Taking taylor expansion of 2 in k 1.562 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 1.562 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 1.562 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 1.562 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 1.562 * [taylor]: Taking taylor expansion of 1/2 in k 1.562 * [taylor]: Taking taylor expansion of k in k 1.562 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 1.562 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 1.562 * [taylor]: Taking taylor expansion of 2 in k 1.562 * [taylor]: Taking taylor expansion of (* n PI) in k 1.562 * [taylor]: Taking taylor expansion of n in k 1.562 * [taylor]: Taking taylor expansion of PI in k 1.563 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1.563 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 1.563 * [taylor]: Taking taylor expansion of (* n PI) in k 1.563 * [taylor]: Taking taylor expansion of n in k 1.563 * [taylor]: Taking taylor expansion of PI in k 1.563 * [taylor]: Taking taylor expansion of k in k 1.563 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1.563 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.563 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.563 * [taylor]: Taking taylor expansion of 2 in n 1.563 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.563 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.563 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.563 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.563 * [taylor]: Taking taylor expansion of 1/2 in n 1.563 * [taylor]: Taking taylor expansion of k in n 1.563 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.563 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.563 * [taylor]: Taking taylor expansion of 2 in n 1.563 * [taylor]: Taking taylor expansion of (* n PI) in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.563 * [taylor]: Taking taylor expansion of PI in n 1.564 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1.564 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 1.564 * [taylor]: Taking taylor expansion of (* n PI) in n 1.564 * [taylor]: Taking taylor expansion of n in n 1.564 * [taylor]: Taking taylor expansion of PI in n 1.564 * [taylor]: Taking taylor expansion of k in n 1.564 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 1.564 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 1.564 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.564 * [taylor]: Taking taylor expansion of 2 in n 1.564 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 1.564 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 1.564 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 1.564 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 1.564 * [taylor]: Taking taylor expansion of 1/2 in n 1.564 * [taylor]: Taking taylor expansion of k in n 1.564 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 1.564 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.564 * [taylor]: Taking taylor expansion of 2 in n 1.564 * [taylor]: Taking taylor expansion of (* n PI) in n 1.564 * [taylor]: Taking taylor expansion of n in n 1.564 * [taylor]: Taking taylor expansion of PI in n 1.565 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1.565 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 1.565 * [taylor]: Taking taylor expansion of (* n PI) in n 1.565 * [taylor]: Taking taylor expansion of n in n 1.565 * [taylor]: Taking taylor expansion of PI in n 1.565 * [taylor]: Taking taylor expansion of k in n 1.565 * [taylor]: Taking taylor expansion of 0 in k 1.566 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* NAN PI)) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 1.566 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 1.566 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.566 * [taylor]: Taking taylor expansion of 2 in k 1.566 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.566 * [taylor]: Taking taylor expansion of NAN in k 1.566 * [taylor]: Taking taylor expansion of PI in k 1.566 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 1.566 * [taylor]: Taking taylor expansion of k in k 1.566 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.566 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.566 * [taylor]: Taking taylor expansion of 1/2 in k 1.566 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.566 * [taylor]: Taking taylor expansion of k in k 1.566 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 1.566 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.566 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.566 * [taylor]: Taking taylor expansion of 2 in k 1.566 * [taylor]: Taking taylor expansion of PI in k 1.566 * [taylor]: Taking taylor expansion of (log n) in k 1.566 * [taylor]: Taking taylor expansion of n in k 1.569 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 1.569 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 1.569 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.569 * [taylor]: Taking taylor expansion of 2 in k 1.569 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.569 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.569 * [taylor]: Taking taylor expansion of NAN in k 1.569 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.569 * [taylor]: Taking taylor expansion of PI in k 1.569 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 1.569 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.569 * [taylor]: Taking taylor expansion of k in k 1.569 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 1.569 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 1.569 * [taylor]: Taking taylor expansion of 1/2 in k 1.569 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 1.569 * [taylor]: Taking taylor expansion of k in k 1.569 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 1.569 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.569 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.569 * [taylor]: Taking taylor expansion of 2 in k 1.569 * [taylor]: Taking taylor expansion of PI in k 1.569 * [taylor]: Taking taylor expansion of (log n) in k 1.569 * [taylor]: Taking taylor expansion of n in k 1.576 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 1.576 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 1.576 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in k 1.576 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in k 1.576 * [taylor]: Taking taylor expansion of (* k PI) in k 1.576 * [taylor]: Taking taylor expansion of k in k 1.576 * [taylor]: Taking taylor expansion of PI in k 1.576 * [taylor]: Taking taylor expansion of n in k 1.576 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 1.576 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.576 * [taylor]: Taking taylor expansion of 2 in k 1.576 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 1.576 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 1.576 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 1.576 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 1.576 * [taylor]: Taking taylor expansion of 1/2 in k 1.576 * [taylor]: Taking taylor expansion of k in k 1.576 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1.576 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 1.576 * [taylor]: Taking taylor expansion of 2 in k 1.576 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.576 * [taylor]: Taking taylor expansion of PI in k 1.576 * [taylor]: Taking taylor expansion of n in k 1.577 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.577 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 1.577 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 1.577 * [taylor]: Taking taylor expansion of (* k PI) in n 1.577 * [taylor]: Taking taylor expansion of k in n 1.577 * [taylor]: Taking taylor expansion of PI in n 1.577 * [taylor]: Taking taylor expansion of n in n 1.577 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.577 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.577 * [taylor]: Taking taylor expansion of 2 in n 1.577 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.577 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.577 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.577 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.577 * [taylor]: Taking taylor expansion of 1/2 in n 1.577 * [taylor]: Taking taylor expansion of k in n 1.577 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.577 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.577 * [taylor]: Taking taylor expansion of 2 in n 1.577 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.577 * [taylor]: Taking taylor expansion of PI in n 1.577 * [taylor]: Taking taylor expansion of n in n 1.578 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 1.578 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 1.578 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 1.578 * [taylor]: Taking taylor expansion of (* k PI) in n 1.578 * [taylor]: Taking taylor expansion of k in n 1.578 * [taylor]: Taking taylor expansion of PI in n 1.578 * [taylor]: Taking taylor expansion of n in n 1.578 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 1.578 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.578 * [taylor]: Taking taylor expansion of 2 in n 1.578 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 1.578 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 1.578 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 1.578 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 1.578 * [taylor]: Taking taylor expansion of 1/2 in n 1.578 * [taylor]: Taking taylor expansion of k in n 1.578 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1.578 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.578 * [taylor]: Taking taylor expansion of 2 in n 1.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.578 * [taylor]: Taking taylor expansion of PI in n 1.578 * [taylor]: Taking taylor expansion of n in n 1.579 * [taylor]: Taking taylor expansion of 0 in k 1.580 * [taylor]: Taking taylor expansion of (/ (* k (* (sqrt 2) (* NAN PI))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.580 * [taylor]: Taking taylor expansion of (* k (* (sqrt 2) (* NAN PI))) in k 1.580 * [taylor]: Taking taylor expansion of k in k 1.580 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 1.580 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.580 * [taylor]: Taking taylor expansion of 2 in k 1.580 * [taylor]: Taking taylor expansion of (* NAN PI) in k 1.580 * [taylor]: Taking taylor expansion of NAN in k 1.580 * [taylor]: Taking taylor expansion of PI in k 1.580 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.580 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.580 * [taylor]: Taking taylor expansion of 1/2 in k 1.580 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.580 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.580 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.580 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.580 * [taylor]: Taking taylor expansion of 2 in k 1.580 * [taylor]: Taking taylor expansion of PI in k 1.580 * [taylor]: Taking taylor expansion of (log n) in k 1.580 * [taylor]: Taking taylor expansion of n in k 1.580 * [taylor]: Taking taylor expansion of k in k 1.582 * [taylor]: Taking taylor expansion of (/ (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.582 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) in k 1.582 * [taylor]: Taking taylor expansion of (pow k 2) in k 1.582 * [taylor]: Taking taylor expansion of k in k 1.582 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 1.582 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.582 * [taylor]: Taking taylor expansion of 2 in k 1.582 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 1.582 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.583 * [taylor]: Taking taylor expansion of NAN in k 1.583 * [taylor]: Taking taylor expansion of (pow PI 2) in k 1.583 * [taylor]: Taking taylor expansion of PI in k 1.583 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.583 * [taylor]: Taking taylor expansion of 1/2 in k 1.583 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.583 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.583 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.583 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.583 * [taylor]: Taking taylor expansion of 2 in k 1.583 * [taylor]: Taking taylor expansion of PI in k 1.583 * [taylor]: Taking taylor expansion of (log n) in k 1.583 * [taylor]: Taking taylor expansion of n in k 1.583 * [taylor]: Taking taylor expansion of k in k 1.586 * [taylor]: Taking taylor expansion of (/ (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.586 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) in k 1.586 * [taylor]: Taking taylor expansion of (pow k 3) in k 1.586 * [taylor]: Taking taylor expansion of k in k 1.586 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in k 1.587 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.587 * [taylor]: Taking taylor expansion of 2 in k 1.587 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 1.587 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 1.587 * [taylor]: Taking taylor expansion of NAN in k 1.587 * [taylor]: Taking taylor expansion of (pow PI 3) in k 1.587 * [taylor]: Taking taylor expansion of PI in k 1.587 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.587 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.587 * [taylor]: Taking taylor expansion of 1/2 in k 1.587 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.587 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.587 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.587 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.587 * [taylor]: Taking taylor expansion of 2 in k 1.587 * [taylor]: Taking taylor expansion of PI in k 1.587 * [taylor]: Taking taylor expansion of (log n) in k 1.587 * [taylor]: Taking taylor expansion of n in k 1.587 * [taylor]: Taking taylor expansion of k in k 1.592 * [taylor]: Taking taylor expansion of (/ (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.592 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) in k 1.592 * [taylor]: Taking taylor expansion of (pow k 4) in k 1.592 * [taylor]: Taking taylor expansion of k in k 1.592 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 7) (pow PI 4))) in k 1.592 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.592 * [taylor]: Taking taylor expansion of 2 in k 1.592 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 1.592 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 1.592 * [taylor]: Taking taylor expansion of NAN in k 1.592 * [taylor]: Taking taylor expansion of (pow PI 4) in k 1.592 * [taylor]: Taking taylor expansion of PI in k 1.592 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.592 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.592 * [taylor]: Taking taylor expansion of 1/2 in k 1.592 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.592 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.592 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.592 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.592 * [taylor]: Taking taylor expansion of 2 in k 1.592 * [taylor]: Taking taylor expansion of PI in k 1.592 * [taylor]: Taking taylor expansion of (log n) in k 1.592 * [taylor]: Taking taylor expansion of n in k 1.592 * [taylor]: Taking taylor expansion of k in k 1.599 * [taylor]: Taking taylor expansion of (/ (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.599 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) in k 1.599 * [taylor]: Taking taylor expansion of (pow k 5) in k 1.599 * [taylor]: Taking taylor expansion of k in k 1.599 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 9) (pow PI 5))) in k 1.599 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.599 * [taylor]: Taking taylor expansion of 2 in k 1.599 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 1.599 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 1.599 * [taylor]: Taking taylor expansion of NAN in k 1.599 * [taylor]: Taking taylor expansion of (pow PI 5) in k 1.599 * [taylor]: Taking taylor expansion of PI in k 1.599 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.599 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.599 * [taylor]: Taking taylor expansion of 1/2 in k 1.599 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.599 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.599 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.599 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.599 * [taylor]: Taking taylor expansion of 2 in k 1.599 * [taylor]: Taking taylor expansion of PI in k 1.599 * [taylor]: Taking taylor expansion of (log n) in k 1.599 * [taylor]: Taking taylor expansion of n in k 1.599 * [taylor]: Taking taylor expansion of k in k 1.608 * [taylor]: Taking taylor expansion of (/ (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 1.608 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) in k 1.608 * [taylor]: Taking taylor expansion of (pow k 6) in k 1.608 * [taylor]: Taking taylor expansion of k in k 1.608 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 11) (pow PI 6))) in k 1.608 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.608 * [taylor]: Taking taylor expansion of 2 in k 1.608 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 1.608 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 1.608 * [taylor]: Taking taylor expansion of NAN in k 1.608 * [taylor]: Taking taylor expansion of (pow PI 6) in k 1.609 * [taylor]: Taking taylor expansion of PI in k 1.609 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1.609 * [taylor]: Taking taylor expansion of 1/2 in k 1.609 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1.609 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1.609 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 1.609 * [taylor]: Taking taylor expansion of (* 2 PI) in k 1.609 * [taylor]: Taking taylor expansion of 2 in k 1.609 * [taylor]: Taking taylor expansion of PI in k 1.609 * [taylor]: Taking taylor expansion of (log n) in k 1.609 * [taylor]: Taking taylor expansion of n in k 1.609 * [taylor]: Taking taylor expansion of k in k 1.612 * [approximate]: Taking taylor expansion of (* (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in (n k) around 0 1.612 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in k 1.612 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 1.612 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ -1 n))) in k 1.612 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.612 * [taylor]: Taking taylor expansion of 2 in k 1.612 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.612 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.612 * [taylor]: Taking taylor expansion of -1 in k 1.612 * [taylor]: Taking taylor expansion of n in k 1.612 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 1.612 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 1.612 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 1.612 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 1.612 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 1.612 * [taylor]: Taking taylor expansion of -1/2 in k 1.612 * [taylor]: Taking taylor expansion of k in k 1.612 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1.612 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 1.612 * [taylor]: Taking taylor expansion of -2 in k 1.612 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.612 * [taylor]: Taking taylor expansion of PI in k 1.612 * [taylor]: Taking taylor expansion of n in k 1.612 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.612 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.612 * [taylor]: Taking taylor expansion of -1 in k 1.613 * [taylor]: Taking taylor expansion of k in k 1.613 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.613 * [taylor]: Taking taylor expansion of PI in k 1.613 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n 1.613 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1.613 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ -1 n))) in n 1.613 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.613 * [taylor]: Taking taylor expansion of 2 in n 1.613 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.613 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.613 * [taylor]: Taking taylor expansion of -1 in n 1.613 * [taylor]: Taking taylor expansion of n in n 1.613 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1.613 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.613 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.613 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.614 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.614 * [taylor]: Taking taylor expansion of -1/2 in n 1.614 * [taylor]: Taking taylor expansion of k in n 1.614 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.614 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.614 * [taylor]: Taking taylor expansion of -2 in n 1.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.614 * [taylor]: Taking taylor expansion of PI in n 1.614 * [taylor]: Taking taylor expansion of n in n 1.614 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.614 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.614 * [taylor]: Taking taylor expansion of -1 in n 1.614 * [taylor]: Taking taylor expansion of k in n 1.614 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.614 * [taylor]: Taking taylor expansion of PI in n 1.614 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n 1.615 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 1.615 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ -1 n))) in n 1.615 * [taylor]: Taking taylor expansion of (sqrt 2) in n 1.615 * [taylor]: Taking taylor expansion of 2 in n 1.615 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.615 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.615 * [taylor]: Taking taylor expansion of -1 in n 1.615 * [taylor]: Taking taylor expansion of n in n 1.615 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 1.615 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 1.615 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 1.615 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 1.615 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 1.615 * [taylor]: Taking taylor expansion of -1/2 in n 1.615 * [taylor]: Taking taylor expansion of k in n 1.615 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1.615 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.615 * [taylor]: Taking taylor expansion of -2 in n 1.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.615 * [taylor]: Taking taylor expansion of PI in n 1.615 * [taylor]: Taking taylor expansion of n in n 1.615 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.615 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.615 * [taylor]: Taking taylor expansion of -1 in n 1.615 * [taylor]: Taking taylor expansion of k in n 1.616 * [taylor]: Taking taylor expansion of (sqrt PI) in n 1.616 * [taylor]: Taking taylor expansion of PI in n 1.616 * [taylor]: Taking taylor expansion of (* (sqrt PI) (/ (* NAN (sqrt 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) in k 1.616 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.616 * [taylor]: Taking taylor expansion of PI in k 1.616 * [taylor]: Taking taylor expansion of (/ (* NAN (sqrt 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1.616 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2)) in k 1.616 * [taylor]: Taking taylor expansion of NAN in k 1.616 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.616 * [taylor]: Taking taylor expansion of 2 in k 1.616 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1.616 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.616 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.616 * [taylor]: Taking taylor expansion of -1 in k 1.616 * [taylor]: Taking taylor expansion of k in k 1.616 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.616 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.616 * [taylor]: Taking taylor expansion of -1/2 in k 1.617 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.617 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.617 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.617 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.617 * [taylor]: Taking taylor expansion of -2 in k 1.617 * [taylor]: Taking taylor expansion of PI in k 1.617 * [taylor]: Taking taylor expansion of (log n) in k 1.617 * [taylor]: Taking taylor expansion of n in k 1.617 * [taylor]: Taking taylor expansion of k in k 1.619 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2) (pow NAN 3)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (sqrt PI)) in k 1.619 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (pow NAN 3)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 1.619 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow NAN 3)) in k 1.619 * [taylor]: Taking taylor expansion of (sqrt 2) in k 1.619 * [taylor]: Taking taylor expansion of 2 in k 1.619 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.619 * [taylor]: Taking taylor expansion of NAN in k 1.619 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.620 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.620 * [taylor]: Taking taylor expansion of -1 in k 1.620 * [taylor]: Taking taylor expansion of k in k 1.620 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1.620 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1.620 * [taylor]: Taking taylor expansion of -1/2 in k 1.620 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1.620 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1.620 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 1.620 * [taylor]: Taking taylor expansion of (* -2 PI) in k 1.620 * [taylor]: Taking taylor expansion of -2 in k 1.620 * [taylor]: Taking taylor expansion of PI in k 1.620 * [taylor]: Taking taylor expansion of (log n) in k 1.620 * [taylor]: Taking taylor expansion of n in k 1.620 * [taylor]: Taking taylor expansion of k in k 1.621 * [taylor]: Taking taylor expansion of (sqrt PI) in k 1.621 * [taylor]: Taking taylor expansion of PI in k 1.624 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.624 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1.624 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.624 * [taylor]: Taking taylor expansion of 2 in n 1.624 * [taylor]: Taking taylor expansion of (* n PI) in n 1.624 * [taylor]: Taking taylor expansion of n in n 1.624 * [taylor]: Taking taylor expansion of PI in n 1.624 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 1.624 * [taylor]: Taking taylor expansion of 2 in n 1.624 * [taylor]: Taking taylor expansion of (* n PI) in n 1.624 * [taylor]: Taking taylor expansion of n in n 1.624 * [taylor]: Taking taylor expansion of PI in n 1.625 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1.625 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.625 * [taylor]: Taking taylor expansion of 2 in n 1.625 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.625 * [taylor]: Taking taylor expansion of PI in n 1.625 * [taylor]: Taking taylor expansion of n in n 1.625 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 1.625 * [taylor]: Taking taylor expansion of 2 in n 1.625 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.625 * [taylor]: Taking taylor expansion of PI in n 1.625 * [taylor]: Taking taylor expansion of n in n 1.626 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1.626 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.626 * [taylor]: Taking taylor expansion of -2 in n 1.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.626 * [taylor]: Taking taylor expansion of PI in n 1.626 * [taylor]: Taking taylor expansion of n in n 1.626 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 1.626 * [taylor]: Taking taylor expansion of -2 in n 1.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.626 * [taylor]: Taking taylor expansion of PI in n 1.626 * [taylor]: Taking taylor expansion of n in n 1.627 * * * [progress]: simplifying candidates 1.637 * [simplify]: Simplifying using # : (log.f64 (sqrt.f64 (*.f64 2 PI.f64))) (exp.f64 (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (*.f64 2 PI.f64))) (sqrt.f64 (*.f64 2 PI.f64))) (sqrt.f64 2) (sqrt.f64 PI.f64) (/.f64 1 2) (/.f64 1 2) (sqrt.f64 (sqrt.f64 (*.f64 2 PI.f64))) (sqrt.f64 (sqrt.f64 (*.f64 2 PI.f64))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (+.f64 (log.f64 n) (+.f64 (log.f64 2) (log.f64 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (sqrt.f64 (*.f64 2 PI.f64))) (log.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (log.f64 (sqrt.f64 k))) (-.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (log.f64 (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (exp.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (*.f64 2 PI.f64))) (sqrt.f64 (*.f64 2 PI.f64))) (*.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (sqrt.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 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(pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 (sqrt.f64 k)) (*.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 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 n) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k))) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 n) (*.f64 (fabs.f64 (cbrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))))) (/.f64 (sqrt.f64 n) (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2)))) (/.f64 (sqrt.f64 n) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 n) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 n) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 n) (/.f64 (sqrt.f64 n) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 n) (/.f64 (sqrt.f64 n) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)))) (/.f64 (sqrt.f64 n) (*.f64 (fabs.f64 (cbrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)))) (/.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)))) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4)))) (/.f64 (sqrt.f64 n) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 4))) (/.f64 (sqrt.f64 n) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 n) (fabs.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 n) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 n) (/.f64 (sqrt.f64 n) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 n) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (sqrt.f64 n)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (fabs.f64 (cbrt.f64 k))) (sqrt.f64 n)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 n)) (*.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 n)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 (sqrt.f64 k))) (sqrt.f64 n)) (*.f64 (sqrt.f64 (*.f64 2 PI.f64)) (sqrt.f64 n)) (sqrt.f64 n) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 n)) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 n))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (sqrt.f64 (cbrt.f64 n))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (sqrt.f64 (sqrt.f64 n))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (sqrt.f64 n)) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (sqrt.f64 (sqrt.f64 n))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (sqrt.f64 n)) (*.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.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 (pow.f64 n 3) (*.f64 8 (pow.f64 PI.f64 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 2 n) (*.f64 (*.f64 2 PI.f64) (cbrt.f64 n)) (*.f64 (*.f64 2 PI.f64) (sqrt.f64 n)) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 2 PI.f64)) (pow.f64 (*.f64 (*.f64 2 PI.f64) n) (/.f64 k 2))) (sqrt.f64 k)) (sqrt.f64 n)) (-.f64 (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (pow.f64 (log.f64 (*.f64 2 PI.f64)) 2) (*.f64 NAN.f64 (*.f64 PI.f64 (sqrt.f64 2)))))) (+.f64 (*.f64 1/4 (*.f64 (*.f64 k k) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (log.f64 n) (*.f64 NAN.f64 (*.f64 PI.f64 (sqrt.f64 2))))))) (+.f64 (*.f64 (*.f64 k k) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 PI.f64 3) (pow.f64 NAN.f64 5)))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 k k) (*.f64 (*.f64 NAN.f64 (*.f64 PI.f64 (sqrt.f64 2))) (pow.f64 (log.f64 n) 2)))) (+.f64 (*.f64 NAN.f64 (*.f64 PI.f64 (sqrt.f64 2))) (*.f64 k (*.f64 (sqrt.f64 2) (*.f64 (*.f64 PI.f64 PI.f64) (pow.f64 NAN.f64 3))))))))) (+.f64 (*.f64 (*.f64 1/2 k) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 PI.f64 NAN.f64))) (*.f64 (log.f64 n) (*.f64 NAN.f64 (*.f64 PI.f64 (sqrt.f64 2)))))) (*.f64 (*.f64 1/2 (*.f64 k k)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (log.f64 n) (*.f64 (*.f64 PI.f64 PI.f64) (pow.f64 NAN.f64 3)))) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 PI.f64 PI.f64) (pow.f64 NAN.f64 3)))))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 PI.f64 3) (pow.f64 NAN.f64 5))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k)) (pow.f64 k 3))) (+.f64 (/.f64 (*.f64 NAN.f64 (*.f64 PI.f64 (sqrt.f64 2))) (*.f64 k (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k)))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 PI.f64 PI.f64) (pow.f64 NAN.f64 3))) (*.f64 k (*.f64 k (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k))))))) (*.f64 (sqrt.f64 PI.f64) (+.f64 (/.f64 (sqrt.f64 2) (*.f64 NAN.f64 (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))))) (/.f64 (*.f64 (sqrt.f64 2) NAN.f64) (*.f64 k (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))))))) (-.f64 (/.f64 (*.f64 NAN.f64 (*.f64 (sqrt.f64 2) (*.f64 PI.f64 n))) k) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 NAN.f64 3) (*.f64 (log.f64 n) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 n n) (*.f64 PI.f64 PI.f64))))) k)) (*.f64 1/2 (+.f64 (/.f64 (*.f64 (*.f64 PI.f64 PI.f64) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 (pow.f64 NAN.f64 3) (*.f64 (sqrt.f64 2) (*.f64 n n))))) k) (*.f64 (*.f64 (sqrt.f64 2) NAN.f64) (+.f64 (*.f64 PI.f64 (*.f64 n (log.f64 n))) (*.f64 (log.f64 (*.f64 2 PI.f64)) (*.f64 PI.f64 n)))))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 PI.f64 PI.f64) (pow.f64 NAN.f64 3))) (*.f64 n (*.f64 k (*.f64 k (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k)))))) (+.f64 (/.f64 (*.f64 NAN.f64 (*.f64 PI.f64 (sqrt.f64 2))) (*.f64 k (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k)))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 PI.f64 3) (pow.f64 NAN.f64 5))) (*.f64 (*.f64 n n) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 2 PI.f64) n) k)) (pow.f64 k 3)))))) (*.f64 (sqrt.f64 PI.f64) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 NAN.f64 NAN.f64) k) 1) (/.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))))) (*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 (exp.f64 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n))))))) (/.f64 (*.f64 NAN.f64 NAN.f64) n)))) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) (*.f64 (*.f64 2 PI.f64) n) 1.734 * * * [progress]: adding candidates to table 2.326 * * [progress]: iteration 4 / 4 2.326 * * * [progress]: picking best candidate 2.342 * * * * [pick]: Picked # 2.342 * * * [progress]: localizing error 2.358 * * * [progress]: generating rewritten candidates 2.358 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2) 2.359 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.372 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.402 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 2.420 * * * [progress]: generating series expansions 2.420 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2) 2.420 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.420 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ PI k))) in (n k) around 0 2.420 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ PI k))) in k 2.420 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 2.420 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.420 * [taylor]: Taking taylor expansion of 2 in k 2.420 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 2.420 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 2.420 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 2.420 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 2.420 * [taylor]: Taking taylor expansion of 1/2 in k 2.420 * [taylor]: Taking taylor expansion of k in k 2.420 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 2.420 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 2.420 * [taylor]: Taking taylor expansion of 2 in k 2.420 * [taylor]: Taking taylor expansion of (* n PI) in k 2.420 * [taylor]: Taking taylor expansion of n in k 2.420 * [taylor]: Taking taylor expansion of PI in k 2.421 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in k 2.421 * [taylor]: Taking taylor expansion of (/ PI k) in k 2.421 * [taylor]: Taking taylor expansion of PI in k 2.421 * [taylor]: Taking taylor expansion of k in k 2.421 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ PI k))) in n 2.421 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 2.421 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.421 * [taylor]: Taking taylor expansion of 2 in n 2.421 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 2.421 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 2.421 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 2.421 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 2.421 * [taylor]: Taking taylor expansion of 1/2 in n 2.421 * [taylor]: Taking taylor expansion of k in n 2.421 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.421 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.421 * [taylor]: Taking taylor expansion of 2 in n 2.421 * [taylor]: Taking taylor expansion of (* n PI) in n 2.421 * [taylor]: Taking taylor expansion of n in n 2.421 * [taylor]: Taking taylor expansion of PI in n 2.422 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in n 2.422 * [taylor]: Taking taylor expansion of (/ PI k) in n 2.422 * [taylor]: Taking taylor expansion of PI in n 2.422 * [taylor]: Taking taylor expansion of k in n 2.422 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ PI k))) in n 2.422 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 2.422 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.422 * [taylor]: Taking taylor expansion of 2 in n 2.422 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 2.422 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 2.422 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 2.422 * [taylor]: Taking taylor expansion of 1/2 in n 2.422 * [taylor]: Taking taylor expansion of k in n 2.422 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.422 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.422 * [taylor]: Taking taylor expansion of 2 in n 2.422 * [taylor]: Taking taylor expansion of (* n PI) in n 2.422 * [taylor]: Taking taylor expansion of n in n 2.422 * [taylor]: Taking taylor expansion of PI in n 2.423 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in n 2.423 * [taylor]: Taking taylor expansion of (/ PI k) in n 2.423 * [taylor]: Taking taylor expansion of PI in n 2.423 * [taylor]: Taking taylor expansion of k in n 2.423 * [taylor]: Taking taylor expansion of (* (sqrt (/ PI k)) (/ (sqrt 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 2.423 * [taylor]: Taking taylor expansion of (sqrt (/ PI k)) in k 2.423 * [taylor]: Taking taylor expansion of (/ PI k) in k 2.423 * [taylor]: Taking taylor expansion of PI in k 2.423 * [taylor]: Taking taylor expansion of k in k 2.423 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 2.423 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.423 * [taylor]: Taking taylor expansion of 2 in k 2.423 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 2.423 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 2.423 * [taylor]: Taking taylor expansion of 1/2 in k 2.423 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 2.423 * [taylor]: Taking taylor expansion of k in k 2.423 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 2.423 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.423 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.423 * [taylor]: Taking taylor expansion of 2 in k 2.423 * [taylor]: Taking taylor expansion of PI in k 2.423 * [taylor]: Taking taylor expansion of (log n) in k 2.423 * [taylor]: Taking taylor expansion of n in k 2.425 * [taylor]: Taking taylor expansion of 0 in k 2.426 * [taylor]: Taking taylor expansion of 0 in k 2.431 * [taylor]: Taking taylor expansion of 0 in k 2.443 * [approximate]: Taking taylor expansion of (* (sqrt (* PI k)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 2.443 * [taylor]: Taking taylor expansion of (* (sqrt (* PI k)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 2.443 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in k 2.443 * [taylor]: Taking taylor expansion of (* PI k) in k 2.443 * [taylor]: Taking taylor expansion of PI in k 2.443 * [taylor]: Taking taylor expansion of k in k 2.443 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 2.443 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.443 * [taylor]: Taking taylor expansion of 2 in k 2.443 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 2.443 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 2.444 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 2.444 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 2.444 * [taylor]: Taking taylor expansion of 1/2 in k 2.444 * [taylor]: Taking taylor expansion of k in k 2.444 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 2.444 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 2.444 * [taylor]: Taking taylor expansion of 2 in k 2.444 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.444 * [taylor]: Taking taylor expansion of PI in k 2.444 * [taylor]: Taking taylor expansion of n in k 2.444 * [taylor]: Taking taylor expansion of (* (sqrt (* PI k)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 2.444 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in n 2.444 * [taylor]: Taking taylor expansion of (* PI k) in n 2.444 * [taylor]: Taking taylor expansion of PI in n 2.444 * [taylor]: Taking taylor expansion of k in n 2.444 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 2.444 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.444 * [taylor]: Taking taylor expansion of 2 in n 2.444 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 2.444 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 2.444 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 2.444 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 2.444 * [taylor]: Taking taylor expansion of 1/2 in n 2.444 * [taylor]: Taking taylor expansion of k in n 2.444 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.444 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.444 * [taylor]: Taking taylor expansion of 2 in n 2.444 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.444 * [taylor]: Taking taylor expansion of PI in n 2.444 * [taylor]: Taking taylor expansion of n in n 2.445 * [taylor]: Taking taylor expansion of (* (sqrt (* PI k)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 2.445 * [taylor]: Taking taylor expansion of (sqrt (* PI k)) in n 2.445 * [taylor]: Taking taylor expansion of (* PI k) in n 2.445 * [taylor]: Taking taylor expansion of PI in n 2.445 * [taylor]: Taking taylor expansion of k in n 2.445 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 2.445 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.445 * [taylor]: Taking taylor expansion of 2 in n 2.445 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 2.445 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 2.445 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 2.445 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 2.445 * [taylor]: Taking taylor expansion of 1/2 in n 2.445 * [taylor]: Taking taylor expansion of k in n 2.445 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.445 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.445 * [taylor]: Taking taylor expansion of 2 in n 2.445 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.445 * [taylor]: Taking taylor expansion of PI in n 2.445 * [taylor]: Taking taylor expansion of n in n 2.446 * [taylor]: Taking taylor expansion of (* (sqrt (* k PI)) (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k 2.446 * [taylor]: Taking taylor expansion of (sqrt (* k PI)) in k 2.446 * [taylor]: Taking taylor expansion of (* k PI) in k 2.446 * [taylor]: Taking taylor expansion of k in k 2.446 * [taylor]: Taking taylor expansion of PI in k 2.446 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.446 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.446 * [taylor]: Taking taylor expansion of 2 in k 2.446 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.446 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.446 * [taylor]: Taking taylor expansion of 1/2 in k 2.446 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.446 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.446 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.446 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.446 * [taylor]: Taking taylor expansion of 2 in k 2.446 * [taylor]: Taking taylor expansion of PI in k 2.446 * [taylor]: Taking taylor expansion of (log n) in k 2.446 * [taylor]: Taking taylor expansion of n in k 2.446 * [taylor]: Taking taylor expansion of k in k 2.448 * [taylor]: Taking taylor expansion of 0 in k 2.449 * [taylor]: Taking taylor expansion of 0 in k 2.452 * [taylor]: Taking taylor expansion of 0 in k 2.455 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in (n k) around 0 2.455 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in k 2.455 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 2.455 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.455 * [taylor]: Taking taylor expansion of 2 in k 2.455 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 2.455 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 2.455 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 2.455 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 2.455 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 2.455 * [taylor]: Taking taylor expansion of -1/2 in k 2.455 * [taylor]: Taking taylor expansion of k in k 2.455 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 2.455 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.455 * [taylor]: Taking taylor expansion of -2 in k 2.455 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.455 * [taylor]: Taking taylor expansion of PI in k 2.455 * [taylor]: Taking taylor expansion of n in k 2.456 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.456 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.456 * [taylor]: Taking taylor expansion of -1 in k 2.456 * [taylor]: Taking taylor expansion of k in k 2.456 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.456 * [taylor]: Taking taylor expansion of PI in k 2.456 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n 2.456 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 2.456 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.456 * [taylor]: Taking taylor expansion of 2 in n 2.456 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 2.456 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 2.456 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 2.456 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 2.456 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 2.456 * [taylor]: Taking taylor expansion of -1/2 in n 2.456 * [taylor]: Taking taylor expansion of k in n 2.457 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.457 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.457 * [taylor]: Taking taylor expansion of -2 in n 2.457 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.457 * [taylor]: Taking taylor expansion of PI in n 2.457 * [taylor]: Taking taylor expansion of n in n 2.457 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.457 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.457 * [taylor]: Taking taylor expansion of -1 in n 2.457 * [taylor]: Taking taylor expansion of k in n 2.457 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.457 * [taylor]: Taking taylor expansion of PI in n 2.457 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n 2.457 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 2.457 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.457 * [taylor]: Taking taylor expansion of 2 in n 2.457 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 2.457 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 2.458 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 2.458 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 2.458 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 2.458 * [taylor]: Taking taylor expansion of -1/2 in n 2.458 * [taylor]: Taking taylor expansion of k in n 2.458 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.458 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.458 * [taylor]: Taking taylor expansion of -2 in n 2.458 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.458 * [taylor]: Taking taylor expansion of PI in n 2.458 * [taylor]: Taking taylor expansion of n in n 2.458 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.458 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.458 * [taylor]: Taking taylor expansion of -1 in n 2.458 * [taylor]: Taking taylor expansion of k in n 2.458 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.458 * [taylor]: Taking taylor expansion of PI in n 2.459 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (sqrt PI)) in k 2.459 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 2.459 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.459 * [taylor]: Taking taylor expansion of 2 in k 2.459 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 2.459 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.459 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.459 * [taylor]: Taking taylor expansion of -1 in k 2.459 * [taylor]: Taking taylor expansion of k in k 2.459 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 2.459 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 2.459 * [taylor]: Taking taylor expansion of -1/2 in k 2.459 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 2.459 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 2.459 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 2.459 * [taylor]: Taking taylor expansion of (* -2 PI) in k 2.459 * [taylor]: Taking taylor expansion of -2 in k 2.459 * [taylor]: Taking taylor expansion of PI in k 2.459 * [taylor]: Taking taylor expansion of (log n) in k 2.459 * [taylor]: Taking taylor expansion of n in k 2.459 * [taylor]: Taking taylor expansion of k in k 2.460 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.460 * [taylor]: Taking taylor expansion of PI in k 2.461 * [taylor]: Taking taylor expansion of 0 in k 2.464 * [taylor]: Taking taylor expansion of 0 in k 2.468 * [taylor]: Taking taylor expansion of 0 in k 2.469 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.469 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0 2.469 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k 2.469 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k 2.469 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.469 * [taylor]: Taking taylor expansion of 2 in k 2.469 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k 2.469 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k 2.469 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k 2.469 * [taylor]: Taking taylor expansion of (* 1/2 k) in k 2.469 * [taylor]: Taking taylor expansion of 1/2 in k 2.470 * [taylor]: Taking taylor expansion of k in k 2.470 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in k 2.470 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in k 2.470 * [taylor]: Taking taylor expansion of 2 in k 2.470 * [taylor]: Taking taylor expansion of (* n PI) in k 2.470 * [taylor]: Taking taylor expansion of n in k 2.470 * [taylor]: Taking taylor expansion of PI in k 2.470 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 2.470 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in k 2.470 * [taylor]: Taking taylor expansion of (* n PI) in k 2.470 * [taylor]: Taking taylor expansion of n in k 2.470 * [taylor]: Taking taylor expansion of PI in k 2.470 * [taylor]: Taking taylor expansion of k in k 2.470 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 2.470 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 2.470 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.470 * [taylor]: Taking taylor expansion of 2 in n 2.470 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 2.470 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 2.470 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 2.470 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 2.470 * [taylor]: Taking taylor expansion of 1/2 in n 2.470 * [taylor]: Taking taylor expansion of k in n 2.470 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.470 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.470 * [taylor]: Taking taylor expansion of 2 in n 2.470 * [taylor]: Taking taylor expansion of (* n PI) in n 2.470 * [taylor]: Taking taylor expansion of n in n 2.471 * [taylor]: Taking taylor expansion of PI in n 2.471 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.471 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.471 * [taylor]: Taking taylor expansion of (* n PI) in n 2.471 * [taylor]: Taking taylor expansion of n in n 2.471 * [taylor]: Taking taylor expansion of PI in n 2.471 * [taylor]: Taking taylor expansion of k in n 2.471 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n 2.471 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n 2.471 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.471 * [taylor]: Taking taylor expansion of 2 in n 2.471 * [taylor]: Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n 2.471 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n 2.471 * [taylor]: Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n 2.471 * [taylor]: Taking taylor expansion of (* 1/2 k) in n 2.471 * [taylor]: Taking taylor expansion of 1/2 in n 2.471 * [taylor]: Taking taylor expansion of k in n 2.471 * [taylor]: Taking taylor expansion of (log (* 2 (* n PI))) in n 2.471 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.471 * [taylor]: Taking taylor expansion of 2 in n 2.471 * [taylor]: Taking taylor expansion of (* n PI) in n 2.471 * [taylor]: Taking taylor expansion of n in n 2.471 * [taylor]: Taking taylor expansion of PI in n 2.472 * [taylor]: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 2.472 * [taylor]: Taking taylor expansion of (/ (* n PI) k) in n 2.472 * [taylor]: Taking taylor expansion of (* n PI) in n 2.472 * [taylor]: Taking taylor expansion of n in n 2.472 * [taylor]: Taking taylor expansion of PI in n 2.472 * [taylor]: Taking taylor expansion of k in n 2.472 * [taylor]: Taking taylor expansion of 0 in k 2.473 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* NAN PI)) (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 2.473 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 2.473 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.473 * [taylor]: Taking taylor expansion of 2 in k 2.473 * [taylor]: Taking taylor expansion of (* NAN PI) in k 2.473 * [taylor]: Taking taylor expansion of NAN in k 2.473 * [taylor]: Taking taylor expansion of PI in k 2.473 * [taylor]: Taking taylor expansion of (* k (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 2.473 * [taylor]: Taking taylor expansion of k in k 2.473 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 2.473 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 2.473 * [taylor]: Taking taylor expansion of 1/2 in k 2.473 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 2.473 * [taylor]: Taking taylor expansion of k in k 2.473 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 2.473 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.473 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.473 * [taylor]: Taking taylor expansion of 2 in k 2.473 * [taylor]: Taking taylor expansion of PI in k 2.473 * [taylor]: Taking taylor expansion of (log n) in k 2.473 * [taylor]: Taking taylor expansion of n in k 2.479 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))))) in k 2.479 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 2.479 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.479 * [taylor]: Taking taylor expansion of 2 in k 2.479 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.479 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.480 * [taylor]: Taking taylor expansion of NAN in k 2.480 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.480 * [taylor]: Taking taylor expansion of PI in k 2.480 * [taylor]: Taking taylor expansion of (* (pow k 2) (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n)))))) in k 2.480 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.480 * [taylor]: Taking taylor expansion of k in k 2.480 * [taylor]: Taking taylor expansion of (exp (* 1/2 (* k (+ (log (* 2 PI)) (log n))))) in k 2.480 * [taylor]: Taking taylor expansion of (* 1/2 (* k (+ (log (* 2 PI)) (log n)))) in k 2.480 * [taylor]: Taking taylor expansion of 1/2 in k 2.480 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2 PI)) (log n))) in k 2.480 * [taylor]: Taking taylor expansion of k in k 2.480 * [taylor]: Taking taylor expansion of (+ (log (* 2 PI)) (log n)) in k 2.480 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.480 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.480 * [taylor]: Taking taylor expansion of 2 in k 2.480 * [taylor]: Taking taylor expansion of PI in k 2.480 * [taylor]: Taking taylor expansion of (log n) in k 2.480 * [taylor]: Taking taylor expansion of n in k 2.486 * [approximate]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in (n k) around 0 2.486 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in k 2.486 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in k 2.486 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in k 2.486 * [taylor]: Taking taylor expansion of (* k PI) in k 2.486 * [taylor]: Taking taylor expansion of k in k 2.486 * [taylor]: Taking taylor expansion of PI in k 2.486 * [taylor]: Taking taylor expansion of n in k 2.486 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k 2.486 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.486 * [taylor]: Taking taylor expansion of 2 in k 2.487 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k 2.487 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k 2.487 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k 2.487 * [taylor]: Taking taylor expansion of (/ 1/2 k) in k 2.487 * [taylor]: Taking taylor expansion of 1/2 in k 2.487 * [taylor]: Taking taylor expansion of k in k 2.487 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in k 2.487 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in k 2.487 * [taylor]: Taking taylor expansion of 2 in k 2.487 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.487 * [taylor]: Taking taylor expansion of PI in k 2.487 * [taylor]: Taking taylor expansion of n in k 2.487 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 2.487 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.487 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.487 * [taylor]: Taking taylor expansion of (* k PI) in n 2.487 * [taylor]: Taking taylor expansion of k in n 2.487 * [taylor]: Taking taylor expansion of PI in n 2.487 * [taylor]: Taking taylor expansion of n in n 2.487 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 2.487 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.487 * [taylor]: Taking taylor expansion of 2 in n 2.487 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 2.487 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 2.487 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 2.487 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 2.487 * [taylor]: Taking taylor expansion of 1/2 in n 2.487 * [taylor]: Taking taylor expansion of k in n 2.487 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.487 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.487 * [taylor]: Taking taylor expansion of 2 in n 2.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.488 * [taylor]: Taking taylor expansion of PI in n 2.488 * [taylor]: Taking taylor expansion of n in n 2.488 * [taylor]: Taking taylor expansion of (* (sqrt (/ (* k PI) n)) (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k)))) in n 2.488 * [taylor]: Taking taylor expansion of (sqrt (/ (* k PI) n)) in n 2.488 * [taylor]: Taking taylor expansion of (/ (* k PI) n) in n 2.488 * [taylor]: Taking taylor expansion of (* k PI) in n 2.488 * [taylor]: Taking taylor expansion of k in n 2.488 * [taylor]: Taking taylor expansion of PI in n 2.488 * [taylor]: Taking taylor expansion of n in n 2.488 * [taylor]: Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n 2.488 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.488 * [taylor]: Taking taylor expansion of 2 in n 2.488 * [taylor]: Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n 2.488 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n 2.488 * [taylor]: Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n 2.488 * [taylor]: Taking taylor expansion of (/ 1/2 k) in n 2.488 * [taylor]: Taking taylor expansion of 1/2 in n 2.488 * [taylor]: Taking taylor expansion of k in n 2.488 * [taylor]: Taking taylor expansion of (log (* 2 (/ PI n))) in n 2.488 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.488 * [taylor]: Taking taylor expansion of 2 in n 2.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.488 * [taylor]: Taking taylor expansion of PI in n 2.488 * [taylor]: Taking taylor expansion of n in n 2.489 * [taylor]: Taking taylor expansion of 0 in k 2.490 * [taylor]: Taking taylor expansion of (/ (* k (* (sqrt 2) (* NAN PI))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.490 * [taylor]: Taking taylor expansion of (* k (* (sqrt 2) (* NAN PI))) in k 2.490 * [taylor]: Taking taylor expansion of k in k 2.490 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* NAN PI)) in k 2.490 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.490 * [taylor]: Taking taylor expansion of 2 in k 2.490 * [taylor]: Taking taylor expansion of (* NAN PI) in k 2.490 * [taylor]: Taking taylor expansion of NAN in k 2.490 * [taylor]: Taking taylor expansion of PI in k 2.490 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.490 * [taylor]: Taking taylor expansion of 1/2 in k 2.490 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.490 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.490 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.490 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.490 * [taylor]: Taking taylor expansion of 2 in k 2.490 * [taylor]: Taking taylor expansion of PI in k 2.490 * [taylor]: Taking taylor expansion of (log n) in k 2.490 * [taylor]: Taking taylor expansion of n in k 2.490 * [taylor]: Taking taylor expansion of k in k 2.493 * [taylor]: Taking taylor expansion of (/ (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.493 * [taylor]: Taking taylor expansion of (* (pow k 2) (* (sqrt 2) (* (pow NAN 3) (pow PI 2)))) in k 2.493 * [taylor]: Taking taylor expansion of (pow k 2) in k 2.493 * [taylor]: Taking taylor expansion of k in k 2.493 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 3) (pow PI 2))) in k 2.493 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.493 * [taylor]: Taking taylor expansion of 2 in k 2.493 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow PI 2)) in k 2.493 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.493 * [taylor]: Taking taylor expansion of NAN in k 2.493 * [taylor]: Taking taylor expansion of (pow PI 2) in k 2.493 * [taylor]: Taking taylor expansion of PI in k 2.493 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.493 * [taylor]: Taking taylor expansion of 1/2 in k 2.493 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.493 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.493 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.493 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.493 * [taylor]: Taking taylor expansion of 2 in k 2.493 * [taylor]: Taking taylor expansion of PI in k 2.493 * [taylor]: Taking taylor expansion of (log n) in k 2.493 * [taylor]: Taking taylor expansion of n in k 2.493 * [taylor]: Taking taylor expansion of k in k 2.497 * [taylor]: Taking taylor expansion of (/ (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.497 * [taylor]: Taking taylor expansion of (* (pow k 3) (* (sqrt 2) (* (pow NAN 5) (pow PI 3)))) in k 2.497 * [taylor]: Taking taylor expansion of (pow k 3) in k 2.497 * [taylor]: Taking taylor expansion of k in k 2.497 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 5) (pow PI 3))) in k 2.497 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.497 * [taylor]: Taking taylor expansion of 2 in k 2.497 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow PI 3)) in k 2.497 * [taylor]: Taking taylor expansion of (pow NAN 5) in k 2.497 * [taylor]: Taking taylor expansion of NAN in k 2.497 * [taylor]: Taking taylor expansion of (pow PI 3) in k 2.497 * [taylor]: Taking taylor expansion of PI in k 2.497 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.497 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.497 * [taylor]: Taking taylor expansion of 1/2 in k 2.497 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.497 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.497 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.497 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.497 * [taylor]: Taking taylor expansion of 2 in k 2.497 * [taylor]: Taking taylor expansion of PI in k 2.497 * [taylor]: Taking taylor expansion of (log n) in k 2.497 * [taylor]: Taking taylor expansion of n in k 2.497 * [taylor]: Taking taylor expansion of k in k 2.502 * [taylor]: Taking taylor expansion of (/ (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.502 * [taylor]: Taking taylor expansion of (* (pow k 4) (* (sqrt 2) (* (pow NAN 7) (pow PI 4)))) in k 2.502 * [taylor]: Taking taylor expansion of (pow k 4) in k 2.502 * [taylor]: Taking taylor expansion of k in k 2.502 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 7) (pow PI 4))) in k 2.502 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.502 * [taylor]: Taking taylor expansion of 2 in k 2.502 * [taylor]: Taking taylor expansion of (* (pow NAN 7) (pow PI 4)) in k 2.502 * [taylor]: Taking taylor expansion of (pow NAN 7) in k 2.502 * [taylor]: Taking taylor expansion of NAN in k 2.502 * [taylor]: Taking taylor expansion of (pow PI 4) in k 2.502 * [taylor]: Taking taylor expansion of PI in k 2.502 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.502 * [taylor]: Taking taylor expansion of 1/2 in k 2.502 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.502 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.502 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.502 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.502 * [taylor]: Taking taylor expansion of 2 in k 2.503 * [taylor]: Taking taylor expansion of PI in k 2.503 * [taylor]: Taking taylor expansion of (log n) in k 2.503 * [taylor]: Taking taylor expansion of n in k 2.503 * [taylor]: Taking taylor expansion of k in k 2.509 * [taylor]: Taking taylor expansion of (/ (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.509 * [taylor]: Taking taylor expansion of (* (pow k 5) (* (sqrt 2) (* (pow NAN 9) (pow PI 5)))) in k 2.509 * [taylor]: Taking taylor expansion of (pow k 5) in k 2.509 * [taylor]: Taking taylor expansion of k in k 2.509 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 9) (pow PI 5))) in k 2.509 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.509 * [taylor]: Taking taylor expansion of 2 in k 2.509 * [taylor]: Taking taylor expansion of (* (pow NAN 9) (pow PI 5)) in k 2.509 * [taylor]: Taking taylor expansion of (pow NAN 9) in k 2.509 * [taylor]: Taking taylor expansion of NAN in k 2.509 * [taylor]: Taking taylor expansion of (pow PI 5) in k 2.509 * [taylor]: Taking taylor expansion of PI in k 2.509 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.509 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.509 * [taylor]: Taking taylor expansion of 1/2 in k 2.509 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.509 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.509 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.509 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.509 * [taylor]: Taking taylor expansion of 2 in k 2.509 * [taylor]: Taking taylor expansion of PI in k 2.509 * [taylor]: Taking taylor expansion of (log n) in k 2.509 * [taylor]: Taking taylor expansion of n in k 2.509 * [taylor]: Taking taylor expansion of k in k 2.519 * [taylor]: Taking taylor expansion of (/ (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k 2.519 * [taylor]: Taking taylor expansion of (* (pow k 6) (* (sqrt 2) (* (pow NAN 11) (pow PI 6)))) in k 2.519 * [taylor]: Taking taylor expansion of (pow k 6) in k 2.519 * [taylor]: Taking taylor expansion of k in k 2.519 * [taylor]: Taking taylor expansion of (* (sqrt 2) (* (pow NAN 11) (pow PI 6))) in k 2.519 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.519 * [taylor]: Taking taylor expansion of 2 in k 2.519 * [taylor]: Taking taylor expansion of (* (pow NAN 11) (pow PI 6)) in k 2.519 * [taylor]: Taking taylor expansion of (pow NAN 11) in k 2.519 * [taylor]: Taking taylor expansion of NAN in k 2.519 * [taylor]: Taking taylor expansion of (pow PI 6) in k 2.519 * [taylor]: Taking taylor expansion of PI in k 2.519 * [taylor]: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 2.519 * [taylor]: Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 2.519 * [taylor]: Taking taylor expansion of 1/2 in k 2.519 * [taylor]: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 2.519 * [taylor]: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 2.519 * [taylor]: Taking taylor expansion of (log (* 2 PI)) in k 2.519 * [taylor]: Taking taylor expansion of (* 2 PI) in k 2.519 * [taylor]: Taking taylor expansion of 2 in k 2.519 * [taylor]: Taking taylor expansion of PI in k 2.519 * [taylor]: Taking taylor expansion of (log n) in k 2.519 * [taylor]: Taking taylor expansion of n in k 2.519 * [taylor]: Taking taylor expansion of k in k 2.522 * [approximate]: Taking taylor expansion of (* (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in (n k) around 0 2.522 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in k 2.522 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k 2.522 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ -1 n))) in k 2.522 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.522 * [taylor]: Taking taylor expansion of 2 in k 2.522 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 2.522 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.522 * [taylor]: Taking taylor expansion of -1 in k 2.522 * [taylor]: Taking taylor expansion of n in k 2.523 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k 2.523 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k 2.523 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k 2.523 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k 2.523 * [taylor]: Taking taylor expansion of (/ -1/2 k) in k 2.523 * [taylor]: Taking taylor expansion of -1/2 in k 2.523 * [taylor]: Taking taylor expansion of k in k 2.523 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in k 2.523 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in k 2.523 * [taylor]: Taking taylor expansion of -2 in k 2.523 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.523 * [taylor]: Taking taylor expansion of PI in k 2.523 * [taylor]: Taking taylor expansion of n in k 2.523 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.523 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.523 * [taylor]: Taking taylor expansion of -1 in k 2.523 * [taylor]: Taking taylor expansion of k in k 2.524 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.524 * [taylor]: Taking taylor expansion of PI in k 2.524 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n 2.524 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 2.524 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ -1 n))) in n 2.524 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.524 * [taylor]: Taking taylor expansion of 2 in n 2.524 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.524 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.524 * [taylor]: Taking taylor expansion of -1 in n 2.524 * [taylor]: Taking taylor expansion of n in n 2.524 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 2.524 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 2.524 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 2.524 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 2.524 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 2.524 * [taylor]: Taking taylor expansion of -1/2 in n 2.524 * [taylor]: Taking taylor expansion of k in n 2.524 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.524 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.524 * [taylor]: Taking taylor expansion of -2 in n 2.524 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.524 * [taylor]: Taking taylor expansion of PI in n 2.524 * [taylor]: Taking taylor expansion of n in n 2.525 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.525 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.525 * [taylor]: Taking taylor expansion of -1 in n 2.525 * [taylor]: Taking taylor expansion of k in n 2.525 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.525 * [taylor]: Taking taylor expansion of PI in n 2.525 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) (sqrt PI)) in n 2.525 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (sqrt (/ -1 n))) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n 2.525 * [taylor]: Taking taylor expansion of (* (sqrt 2) (sqrt (/ -1 n))) in n 2.525 * [taylor]: Taking taylor expansion of (sqrt 2) in n 2.525 * [taylor]: Taking taylor expansion of 2 in n 2.525 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.525 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.525 * [taylor]: Taking taylor expansion of -1 in n 2.525 * [taylor]: Taking taylor expansion of n in n 2.525 * [taylor]: Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n 2.525 * [taylor]: Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n 2.525 * [taylor]: Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n 2.525 * [taylor]: Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n 2.525 * [taylor]: Taking taylor expansion of (/ -1/2 k) in n 2.525 * [taylor]: Taking taylor expansion of -1/2 in n 2.525 * [taylor]: Taking taylor expansion of k in n 2.526 * [taylor]: Taking taylor expansion of (log (* -2 (/ PI n))) in n 2.526 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.526 * [taylor]: Taking taylor expansion of -2 in n 2.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.526 * [taylor]: Taking taylor expansion of PI in n 2.526 * [taylor]: Taking taylor expansion of n in n 2.526 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.526 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.526 * [taylor]: Taking taylor expansion of -1 in n 2.526 * [taylor]: Taking taylor expansion of k in n 2.526 * [taylor]: Taking taylor expansion of (sqrt PI) in n 2.526 * [taylor]: Taking taylor expansion of PI in n 2.527 * [taylor]: Taking taylor expansion of (* (sqrt PI) (/ (* NAN (sqrt 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) in k 2.527 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.527 * [taylor]: Taking taylor expansion of PI in k 2.527 * [taylor]: Taking taylor expansion of (/ (* NAN (sqrt 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 2.527 * [taylor]: Taking taylor expansion of (* NAN (sqrt 2)) in k 2.527 * [taylor]: Taking taylor expansion of NAN in k 2.527 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.527 * [taylor]: Taking taylor expansion of 2 in k 2.527 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 2.527 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.527 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.527 * [taylor]: Taking taylor expansion of -1 in k 2.527 * [taylor]: Taking taylor expansion of k in k 2.527 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 2.527 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 2.527 * [taylor]: Taking taylor expansion of -1/2 in k 2.527 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 2.527 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 2.527 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 2.527 * [taylor]: Taking taylor expansion of (* -2 PI) in k 2.527 * [taylor]: Taking taylor expansion of -2 in k 2.527 * [taylor]: Taking taylor expansion of PI in k 2.527 * [taylor]: Taking taylor expansion of (log n) in k 2.527 * [taylor]: Taking taylor expansion of n in k 2.527 * [taylor]: Taking taylor expansion of k in k 2.530 * [taylor]: Taking taylor expansion of (* (/ (* (sqrt 2) (pow NAN 3)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (sqrt PI)) in k 2.530 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2) (pow NAN 3)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) in k 2.530 * [taylor]: Taking taylor expansion of (* (sqrt 2) (pow NAN 3)) in k 2.530 * [taylor]: Taking taylor expansion of (sqrt 2) in k 2.530 * [taylor]: Taking taylor expansion of 2 in k 2.530 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 2.530 * [taylor]: Taking taylor expansion of NAN in k 2.530 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 2.530 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.530 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.530 * [taylor]: Taking taylor expansion of -1 in k 2.530 * [taylor]: Taking taylor expansion of k in k 2.530 * [taylor]: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 2.530 * [taylor]: Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 2.530 * [taylor]: Taking taylor expansion of -1/2 in k 2.530 * [taylor]: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 2.530 * [taylor]: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 2.530 * [taylor]: Taking taylor expansion of (log (* -2 PI)) in k 2.530 * [taylor]: Taking taylor expansion of (* -2 PI) in k 2.530 * [taylor]: Taking taylor expansion of -2 in k 2.530 * [taylor]: Taking taylor expansion of PI in k 2.530 * [taylor]: Taking taylor expansion of (log n) in k 2.530 * [taylor]: Taking taylor expansion of n in k 2.531 * [taylor]: Taking taylor expansion of k in k 2.531 * [taylor]: Taking taylor expansion of (sqrt PI) in k 2.531 * [taylor]: Taking taylor expansion of PI in k 2.534 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 2.534 * [approximate]: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 2.534 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.534 * [taylor]: Taking taylor expansion of 2 in n 2.534 * [taylor]: Taking taylor expansion of (* n PI) in n 2.534 * [taylor]: Taking taylor expansion of n in n 2.534 * [taylor]: Taking taylor expansion of PI in n 2.534 * [taylor]: Taking taylor expansion of (* 2 (* n PI)) in n 2.535 * [taylor]: Taking taylor expansion of 2 in n 2.535 * [taylor]: Taking taylor expansion of (* n PI) in n 2.535 * [taylor]: Taking taylor expansion of n in n 2.535 * [taylor]: Taking taylor expansion of PI in n 2.536 * [approximate]: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 2.536 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.536 * [taylor]: Taking taylor expansion of 2 in n 2.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.536 * [taylor]: Taking taylor expansion of PI in n 2.536 * [taylor]: Taking taylor expansion of n in n 2.536 * [taylor]: Taking taylor expansion of (* 2 (/ PI n)) in n 2.536 * [taylor]: Taking taylor expansion of 2 in n 2.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.536 * [taylor]: Taking taylor expansion of PI in n 2.536 * [taylor]: Taking taylor expansion of n in n 2.537 * [approximate]: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 2.537 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.537 * [taylor]: Taking taylor expansion of -2 in n 2.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.537 * [taylor]: Taking taylor expansion of PI in n 2.537 * [taylor]: Taking taylor expansion of n in n 2.537 * [taylor]: Taking taylor expansion of (* -2 (/ PI n)) in n 2.537 * [taylor]: Taking taylor expansion of -2 in n 2.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.537 * [taylor]: Taking taylor expansion of PI in n 2.537 * [taylor]: Taking taylor expansion of n in n 2.538 * * * [progress]: simplifying candidates 2.542 * [simplify]: Simplifying using # : (log.f64 (sqrt.f64 PI.f64)) (exp.f64 (sqrt.f64 PI.f64)) (*.f64 (cbrt.f64 (sqrt.f64 PI.f64)) (cbrt.f64 (sqrt.f64 PI.f64))) (cbrt.f64 (sqrt.f64 PI.f64)) (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 PI.f64)) (sqrt.f64 PI.f64)) (sqrt.f64 (*.f64 (cbrt.f64 PI.f64) (cbrt.f64 PI.f64))) (sqrt.f64 (cbrt.f64 PI.f64)) (sqrt.f64 (sqrt.f64 PI.f64)) (sqrt.f64 (sqrt.f64 PI.f64)) (sqrt.f64 1) (sqrt.f64 PI.f64) (/.f64 1 2) (sqrt.f64 (sqrt.f64 PI.f64)) (sqrt.f64 (sqrt.f64 PI.f64)) (-.f64 (-.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 PI.f64))) (*.f64 (+.f64 (log.f64 n) (+.f64 (log.f64 2) (log.f64 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 PI.f64))) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 PI.f64))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 PI.f64))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 PI.f64))) (log.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64))) (*.f64 (+.f64 (log.f64 n) (+.f64 (log.f64 2) (log.f64 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64))) (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64))) (*.f64 (log.f64 (*.f64 n (*.f64 2 PI.f64))) (/.f64 k 2))) (log.f64 (sqrt.f64 k))) (-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64))) (log.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (log.f64 (sqrt.f64 k))) (-.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (log.f64 (sqrt.f64 k))) (log.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (exp.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 (*.f64 (sqrt.f64 PI.f64) (sqrt.f64 PI.f64)) (sqrt.f64 PI.f64))) (*.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64))) (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64))) (*.f64 (*.f64 (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (*.f64 (*.f64 (sqrt.f64 k) (sqrt.f64 k)) (sqrt.f64 k))) (*.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (cbrt.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k)))) (cbrt.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k)) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (sqrt.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (sqrt.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))) (sqrt.f64 k))) (neg.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (neg.f64 (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (sqrt.f64 1)) (/.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2))))) 1) (/.f64 (cbrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 k)) (/.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (cbrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 k)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 (cbrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 PI.f64)) (pow.f64 (*.f64 n (*.f64 2 PI.f64)) (/.f64 k 2)))) (sqrt.f64 (sqrt.f64 k))) (/.f64 (sqrt.f64 (/.f64 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PI.f64 PI.f64) (pow.f64 NAN.f64 3))) (*.f64 n (*.f64 k (*.f64 k (pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 n (*.f64 PI.f64 2))) k)))))) (+.f64 (/.f64 (*.f64 NAN.f64 (*.f64 PI.f64 (sqrt.f64 2))) (*.f64 k (pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 n (*.f64 PI.f64 2))) k)))) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 PI.f64 3) (pow.f64 NAN.f64 5))) (*.f64 (*.f64 n n) (*.f64 (pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 n (*.f64 PI.f64 2))) k)) (pow.f64 k 3)))))) (*.f64 (sqrt.f64 PI.f64) (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 NAN.f64 NAN.f64) k) 1) (/.f64 (sqrt.f64 2) (exp.f64 (*.f64 1/2 (*.f64 k (-.f64 (log.f64 (*.f64 PI.f64 -2)) (log.f64 (/.f64 -1 n)))))))) (/.f64 (*.f64 (sqrt.f64 2) (*.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)))))))))) (*.f64 n (*.f64 PI.f64 2)) (*.f64 n (*.f64 PI.f64 2)) (*.f64 n (*.f64 PI.f64 2)) 2.619 * * * [progress]: adding candidates to table 2.859 * [progress]: [Phase 3 of 3] Extracting. 2.859 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.861 * * * [regime-changes]: Trying 2 branch expressions: (n k) 2.861 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 2.909 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 2.956 * * * [regime]: Found split indices: #