16.879 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.377 * * * [progress]: [2/2] Setting up program. 0.380 * [progress]: [Phase 2 of 3] Improving. 0.381 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.423 * * [simplify]: iteration 0 : 4992 enodes (cost 16 ) 0.423 * * [simplify]: iteration 1 : 4992 enodes (cost 16 ) 0.423 * [simplify]: Simplified to: (* 1.0 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) 0.428 * * [progress]: iteration 1 / 4 0.428 * * * [progress]: picking best candidate 0.434 * * * * [pick]: Picked # 0.435 * * * [progress]: localizing error 0.448 * * * [progress]: generating rewritten candidates 0.448 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 2) 0.451 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.464 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.474 * * * [progress]: generating series expansions 0.474 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 2) 0.474 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.474 * [taylor]: Taking taylor expansion of (* n PI) in n 0.474 * [taylor]: Taking taylor expansion of n in n 0.474 * [taylor]: Taking taylor expansion of PI in n 0.474 * [taylor]: Taking taylor expansion of (* n PI) in n 0.474 * [taylor]: Taking taylor expansion of n in n 0.474 * [taylor]: Taking taylor expansion of PI in n 0.475 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.475 * [taylor]: Taking taylor expansion of PI in n 0.475 * [taylor]: Taking taylor expansion of n in n 0.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.475 * [taylor]: Taking taylor expansion of PI in n 0.475 * [taylor]: Taking taylor expansion of n in n 0.475 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.475 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.475 * [taylor]: Taking taylor expansion of -1 in n 0.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.475 * [taylor]: Taking taylor expansion of PI in n 0.475 * [taylor]: Taking taylor expansion of n in n 0.475 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.475 * [taylor]: Taking taylor expansion of -1 in n 0.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.475 * [taylor]: Taking taylor expansion of PI in n 0.475 * [taylor]: Taking taylor expansion of n in n 0.476 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.476 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.476 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.476 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.476 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.476 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.476 * [taylor]: Taking taylor expansion of 0.5 in k 0.476 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.476 * [taylor]: Taking taylor expansion of 1.0 in k 0.476 * [taylor]: Taking taylor expansion of k in k 0.476 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.476 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.476 * [taylor]: Taking taylor expansion of 2.0 in k 0.476 * [taylor]: Taking taylor expansion of (* n PI) in k 0.477 * [taylor]: Taking taylor expansion of n in k 0.477 * [taylor]: Taking taylor expansion of PI in k 0.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.477 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.477 * [taylor]: Taking taylor expansion of 0.5 in n 0.477 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.477 * [taylor]: Taking taylor expansion of 1.0 in n 0.477 * [taylor]: Taking taylor expansion of k in n 0.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.477 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.477 * [taylor]: Taking taylor expansion of 2.0 in n 0.477 * [taylor]: Taking taylor expansion of (* n PI) in n 0.477 * [taylor]: Taking taylor expansion of n in n 0.477 * [taylor]: Taking taylor expansion of PI in n 0.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.477 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.477 * [taylor]: Taking taylor expansion of 0.5 in n 0.477 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.477 * [taylor]: Taking taylor expansion of 1.0 in n 0.477 * [taylor]: Taking taylor expansion of k in n 0.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.477 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.477 * [taylor]: Taking taylor expansion of 2.0 in n 0.477 * [taylor]: Taking taylor expansion of (* n PI) in n 0.477 * [taylor]: Taking taylor expansion of n in n 0.477 * [taylor]: Taking taylor expansion of PI in n 0.478 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.478 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.478 * [taylor]: Taking taylor expansion of 0.5 in k 0.478 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.478 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.478 * [taylor]: Taking taylor expansion of 1.0 in k 0.478 * [taylor]: Taking taylor expansion of k in k 0.478 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.478 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.478 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.478 * [taylor]: Taking taylor expansion of 2.0 in k 0.478 * [taylor]: Taking taylor expansion of PI in k 0.478 * [taylor]: Taking taylor expansion of (log n) in k 0.478 * [taylor]: Taking taylor expansion of n in k 0.479 * [taylor]: Taking taylor expansion of 0 in k 0.480 * [taylor]: Taking taylor expansion of 0 in k 0.483 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.483 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.483 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.483 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.483 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.483 * [taylor]: Taking taylor expansion of 0.5 in k 0.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.483 * [taylor]: Taking taylor expansion of 1.0 in k 0.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.483 * [taylor]: Taking taylor expansion of k in k 0.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.483 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.483 * [taylor]: Taking taylor expansion of 2.0 in k 0.483 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.483 * [taylor]: Taking taylor expansion of PI in k 0.483 * [taylor]: Taking taylor expansion of n in k 0.483 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.483 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.483 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.483 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.483 * [taylor]: Taking taylor expansion of 0.5 in n 0.483 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.483 * [taylor]: Taking taylor expansion of 1.0 in n 0.483 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.483 * [taylor]: Taking taylor expansion of k in n 0.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.483 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.483 * [taylor]: Taking taylor expansion of 2.0 in n 0.483 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.483 * [taylor]: Taking taylor expansion of PI in n 0.483 * [taylor]: Taking taylor expansion of n in n 0.484 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.484 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.484 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.484 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.484 * [taylor]: Taking taylor expansion of 0.5 in n 0.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.484 * [taylor]: Taking taylor expansion of 1.0 in n 0.484 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.484 * [taylor]: Taking taylor expansion of k in n 0.484 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.484 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.484 * [taylor]: Taking taylor expansion of 2.0 in n 0.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.484 * [taylor]: Taking taylor expansion of PI in n 0.484 * [taylor]: Taking taylor expansion of n in n 0.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.484 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.484 * [taylor]: Taking taylor expansion of 0.5 in k 0.484 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.484 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.484 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.484 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.484 * [taylor]: Taking taylor expansion of 2.0 in k 0.484 * [taylor]: Taking taylor expansion of PI in k 0.485 * [taylor]: Taking taylor expansion of (log n) in k 0.485 * [taylor]: Taking taylor expansion of n in k 0.485 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.485 * [taylor]: Taking taylor expansion of 1.0 in k 0.485 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.485 * [taylor]: Taking taylor expansion of k in k 0.486 * [taylor]: Taking taylor expansion of 0 in k 0.486 * [taylor]: Taking taylor expansion of 0 in k 0.487 * [taylor]: Taking taylor expansion of 0 in k 0.488 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.488 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.488 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.488 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.488 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.488 * [taylor]: Taking taylor expansion of 0.5 in k 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.488 * [taylor]: Taking taylor expansion of k in k 0.488 * [taylor]: Taking taylor expansion of 1.0 in k 0.488 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.488 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.488 * [taylor]: Taking taylor expansion of -2.0 in k 0.488 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.488 * [taylor]: Taking taylor expansion of PI in k 0.488 * [taylor]: Taking taylor expansion of n in k 0.488 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.488 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.488 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.488 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.488 * [taylor]: Taking taylor expansion of 0.5 in n 0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.488 * [taylor]: Taking taylor expansion of k in n 0.488 * [taylor]: Taking taylor expansion of 1.0 in n 0.488 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.488 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.488 * [taylor]: Taking taylor expansion of -2.0 in n 0.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.488 * [taylor]: Taking taylor expansion of PI in n 0.488 * [taylor]: Taking taylor expansion of n in n 0.489 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.489 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.489 * [taylor]: Taking taylor expansion of 0.5 in n 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.489 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.489 * [taylor]: Taking taylor expansion of k in n 0.489 * [taylor]: Taking taylor expansion of 1.0 in n 0.489 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.489 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.489 * [taylor]: Taking taylor expansion of -2.0 in n 0.489 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.489 * [taylor]: Taking taylor expansion of PI in n 0.489 * [taylor]: Taking taylor expansion of n in n 0.489 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.489 * [taylor]: Taking taylor expansion of 0.5 in k 0.489 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.489 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.489 * [taylor]: Taking taylor expansion of k in k 0.489 * [taylor]: Taking taylor expansion of 1.0 in k 0.489 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.489 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.489 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.489 * [taylor]: Taking taylor expansion of -2.0 in k 0.489 * [taylor]: Taking taylor expansion of PI in k 0.489 * [taylor]: Taking taylor expansion of (log n) in k 0.489 * [taylor]: Taking taylor expansion of n in k 0.490 * [taylor]: Taking taylor expansion of 0 in k 0.491 * [taylor]: Taking taylor expansion of 0 in k 0.492 * [taylor]: Taking taylor expansion of 0 in k 0.492 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.492 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 0.492 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 0.492 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.492 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.492 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.492 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.492 * [taylor]: Taking taylor expansion of 0.5 in k 0.492 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.492 * [taylor]: Taking taylor expansion of 1.0 in k 0.492 * [taylor]: Taking taylor expansion of k in k 0.492 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.492 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.493 * [taylor]: Taking taylor expansion of 2.0 in k 0.493 * [taylor]: Taking taylor expansion of (* n PI) in k 0.493 * [taylor]: Taking taylor expansion of n in k 0.493 * [taylor]: Taking taylor expansion of PI in k 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.493 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.493 * [taylor]: Taking taylor expansion of k in k 0.493 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.493 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.493 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.493 * [taylor]: Taking taylor expansion of 0.5 in n 0.493 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of k in n 0.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.493 * [taylor]: Taking taylor expansion of 2.0 in n 0.493 * [taylor]: Taking taylor expansion of (* n PI) in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.493 * [taylor]: Taking taylor expansion of PI in n 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.493 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.493 * [taylor]: Taking taylor expansion of k in n 0.494 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.494 * [taylor]: Taking taylor expansion of 0.5 in n 0.494 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of k in n 0.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.494 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.494 * [taylor]: Taking taylor expansion of 2.0 in n 0.494 * [taylor]: Taking taylor expansion of (* n PI) in n 0.494 * [taylor]: Taking taylor expansion of n in n 0.494 * [taylor]: Taking taylor expansion of PI in n 0.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.494 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.494 * [taylor]: Taking taylor expansion of k in n 0.494 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 0.494 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.494 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.494 * [taylor]: Taking taylor expansion of k in k 0.495 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.495 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.495 * [taylor]: Taking taylor expansion of 0.5 in k 0.495 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.495 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.495 * [taylor]: Taking taylor expansion of 1.0 in k 0.495 * [taylor]: Taking taylor expansion of k in k 0.495 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.495 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.495 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.495 * [taylor]: Taking taylor expansion of 2.0 in k 0.495 * [taylor]: Taking taylor expansion of PI in k 0.495 * [taylor]: Taking taylor expansion of (log n) in k 0.495 * [taylor]: Taking taylor expansion of n in k 0.496 * [taylor]: Taking taylor expansion of 0 in k 0.497 * [taylor]: Taking taylor expansion of 0 in k 0.500 * [taylor]: Taking taylor expansion of 0 in k 0.507 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.507 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.507 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.507 * [taylor]: Taking taylor expansion of k in k 0.507 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.507 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.507 * [taylor]: Taking taylor expansion of 0.5 in k 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.507 * [taylor]: Taking taylor expansion of 1.0 in k 0.507 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.507 * [taylor]: Taking taylor expansion of k in k 0.507 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.507 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.507 * [taylor]: Taking taylor expansion of 2.0 in k 0.507 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.507 * [taylor]: Taking taylor expansion of PI in k 0.507 * [taylor]: Taking taylor expansion of n in k 0.507 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.507 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.507 * [taylor]: Taking taylor expansion of k in n 0.507 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.507 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.507 * [taylor]: Taking taylor expansion of 0.5 in n 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.508 * [taylor]: Taking taylor expansion of 1.0 in n 0.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.508 * [taylor]: Taking taylor expansion of k in n 0.508 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.508 * [taylor]: Taking taylor expansion of 2.0 in n 0.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.508 * [taylor]: Taking taylor expansion of PI in n 0.508 * [taylor]: Taking taylor expansion of n in n 0.508 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.508 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.508 * [taylor]: Taking taylor expansion of k in n 0.508 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.508 * [taylor]: Taking taylor expansion of 0.5 in n 0.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.508 * [taylor]: Taking taylor expansion of 1.0 in n 0.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.508 * [taylor]: Taking taylor expansion of k in n 0.508 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.508 * [taylor]: Taking taylor expansion of 2.0 in n 0.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.508 * [taylor]: Taking taylor expansion of PI in n 0.508 * [taylor]: Taking taylor expansion of n in n 0.509 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 0.509 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.509 * [taylor]: Taking taylor expansion of k in k 0.509 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.509 * [taylor]: Taking taylor expansion of 0.5 in k 0.509 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.509 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.509 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.509 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.509 * [taylor]: Taking taylor expansion of 2.0 in k 0.509 * [taylor]: Taking taylor expansion of PI in k 0.509 * [taylor]: Taking taylor expansion of (log n) in k 0.509 * [taylor]: Taking taylor expansion of n in k 0.509 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.509 * [taylor]: Taking taylor expansion of 1.0 in k 0.509 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.509 * [taylor]: Taking taylor expansion of k in k 0.510 * [taylor]: Taking taylor expansion of 0 in k 0.511 * [taylor]: Taking taylor expansion of 0 in k 0.513 * [taylor]: Taking taylor expansion of 0 in k 0.514 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.514 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.514 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.514 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.514 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.514 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.514 * [taylor]: Taking taylor expansion of 0.5 in k 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.514 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.514 * [taylor]: Taking taylor expansion of k in k 0.514 * [taylor]: Taking taylor expansion of 1.0 in k 0.514 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.514 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.514 * [taylor]: Taking taylor expansion of -2.0 in k 0.514 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.514 * [taylor]: Taking taylor expansion of PI in k 0.514 * [taylor]: Taking taylor expansion of n in k 0.515 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.515 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.515 * [taylor]: Taking taylor expansion of -1 in k 0.515 * [taylor]: Taking taylor expansion of k in k 0.515 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.515 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.515 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.515 * [taylor]: Taking taylor expansion of 0.5 in n 0.515 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.515 * [taylor]: Taking taylor expansion of k in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.515 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.515 * [taylor]: Taking taylor expansion of -2.0 in n 0.515 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.515 * [taylor]: Taking taylor expansion of PI in n 0.515 * [taylor]: Taking taylor expansion of n in n 0.515 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.515 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.515 * [taylor]: Taking taylor expansion of -1 in n 0.515 * [taylor]: Taking taylor expansion of k in n 0.516 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.516 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.516 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.516 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.516 * [taylor]: Taking taylor expansion of 0.5 in n 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.516 * [taylor]: Taking taylor expansion of k in n 0.516 * [taylor]: Taking taylor expansion of 1.0 in n 0.516 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.516 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.516 * [taylor]: Taking taylor expansion of -2.0 in n 0.516 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.516 * [taylor]: Taking taylor expansion of PI in n 0.516 * [taylor]: Taking taylor expansion of n in n 0.516 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.516 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.516 * [taylor]: Taking taylor expansion of -1 in n 0.516 * [taylor]: Taking taylor expansion of k in n 0.517 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.517 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.517 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.517 * [taylor]: Taking taylor expansion of 0.5 in k 0.517 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.517 * [taylor]: Taking taylor expansion of k in k 0.517 * [taylor]: Taking taylor expansion of 1.0 in k 0.517 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.517 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.517 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.517 * [taylor]: Taking taylor expansion of -2.0 in k 0.517 * [taylor]: Taking taylor expansion of PI in k 0.517 * [taylor]: Taking taylor expansion of (log n) in k 0.517 * [taylor]: Taking taylor expansion of n in k 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.517 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.517 * [taylor]: Taking taylor expansion of -1 in k 0.517 * [taylor]: Taking taylor expansion of k in k 0.518 * [taylor]: Taking taylor expansion of 0 in k 0.519 * [taylor]: Taking taylor expansion of 0 in k 0.521 * [taylor]: Taking taylor expansion of 0 in k 0.522 * * * [progress]: simplifying candidates 0.524 * [simplify]: Simplifying using # : (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) 1) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) 1) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 1) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) 1) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* n PI) (* n PI) (* n PI) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))) (+ (* k (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* (pow k 2) (* (pow NAN 5) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* 0.5 (* k (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3)))) (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) 0.561 * * [simplify]: iteration 0 : 4975 enodes (cost 2183 ) 0.561 * * [simplify]: iteration 1 : 4975 enodes (cost 2183 ) 0.568 * [simplify]: Simplified to: (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt (- 1.0 k))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (+ (sqrt 1.0) (sqrt k))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (exp (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (cbrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2))) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* (* k k) (* (pow (* PI (* 2.0 n)) 0.5) (+ (pow (log (* PI 2.0)) 2) (pow (log n) 2))))) (- (+ (pow (* PI (* 2.0 n)) 0.5) (* (* k k) (* (* (log n) (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5))) 0.25))) (* 0.5 (* k (* (pow (* PI (* 2.0 n)) 0.5) (log (* PI (* 2.0 n)))))))) (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) (+ (* 0.125 (* k (* k (* (pow (* PI (* 2.0 n)) 0.5) (* NAN (pow (log n) 2)))))) (+ (* k (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) (- (+ (* (pow (* PI (* 2.0 n)) 0.5) (+ (* k (* k (pow NAN 5))) NAN)) (* (* k k) (+ (* (* (log (* PI 2.0)) (* (log n) (* (pow (* PI (* 2.0 n)) 0.5) NAN))) 0.25) (* (* (pow (log (* PI 2.0)) 2) (* (pow (* PI (* 2.0 n)) 0.5) NAN)) 0.125)))) (+ (* 0.5 (* k (* NAN (* (pow (* PI (* 2.0 n)) 0.5) (log (* PI (* 2.0 n))))))) (* (* (* (* k k) 0.5) (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) (log (* PI (* 2.0 n)))))))) (+ (* (/ (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) k) NAN) (* (/ (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) (* k k)) (+ (pow NAN 3) (/ (pow NAN 5) k)))) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN) (* (/ NAN k) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))) 0.569 * * * [progress]: adding candidates to table 0.777 * * [progress]: iteration 2 / 4 0.777 * * * [progress]: picking best candidate 0.818 * * * * [pick]: Picked # 0.818 * * * [progress]: localizing error 0.833 * * * [progress]: generating rewritten candidates 0.833 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 0.837 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.853 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.858 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 0.872 * * * [progress]: generating series expansions 0.872 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 0.872 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.872 * [taylor]: Taking taylor expansion of (* n PI) in n 0.872 * [taylor]: Taking taylor expansion of n in n 0.872 * [taylor]: Taking taylor expansion of PI in n 0.873 * [taylor]: Taking taylor expansion of (* n PI) in n 0.873 * [taylor]: Taking taylor expansion of n in n 0.873 * [taylor]: Taking taylor expansion of PI in n 0.873 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.873 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.873 * [taylor]: Taking taylor expansion of PI in n 0.873 * [taylor]: Taking taylor expansion of n in n 0.873 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.873 * [taylor]: Taking taylor expansion of PI in n 0.873 * [taylor]: Taking taylor expansion of n in n 0.874 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.874 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.874 * [taylor]: Taking taylor expansion of -1 in n 0.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.874 * [taylor]: Taking taylor expansion of PI in n 0.874 * [taylor]: Taking taylor expansion of n in n 0.874 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.874 * [taylor]: Taking taylor expansion of -1 in n 0.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.874 * [taylor]: Taking taylor expansion of PI in n 0.874 * [taylor]: Taking taylor expansion of n in n 0.875 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.875 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in (k n) around 0 0.875 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in n 0.875 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.875 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.875 * [taylor]: Taking taylor expansion of k in n 0.875 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in n 0.875 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 0.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 0.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 0.875 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.875 * [taylor]: Taking taylor expansion of 0.5 in n 0.875 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.875 * [taylor]: Taking taylor expansion of 1.0 in n 0.875 * [taylor]: Taking taylor expansion of k in n 0.875 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 0.875 * [taylor]: Taking taylor expansion of (* n PI) in n 0.875 * [taylor]: Taking taylor expansion of n in n 0.875 * [taylor]: Taking taylor expansion of PI in n 0.876 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 0.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 0.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 0.876 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.876 * [taylor]: Taking taylor expansion of 0.5 in n 0.876 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.876 * [taylor]: Taking taylor expansion of 1.0 in n 0.876 * [taylor]: Taking taylor expansion of k in n 0.876 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.876 * [taylor]: Taking taylor expansion of 2.0 in n 0.876 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 0.876 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.876 * [taylor]: Taking taylor expansion of k in k 0.876 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 0.876 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 0.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 0.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 0.876 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.876 * [taylor]: Taking taylor expansion of 0.5 in k 0.876 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.876 * [taylor]: Taking taylor expansion of 1.0 in k 0.876 * [taylor]: Taking taylor expansion of k in k 0.876 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 0.876 * [taylor]: Taking taylor expansion of (* n PI) in k 0.876 * [taylor]: Taking taylor expansion of n in k 0.876 * [taylor]: Taking taylor expansion of PI in k 0.876 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 0.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 0.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 0.876 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.876 * [taylor]: Taking taylor expansion of 0.5 in k 0.876 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.876 * [taylor]: Taking taylor expansion of 1.0 in k 0.876 * [taylor]: Taking taylor expansion of k in k 0.876 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.876 * [taylor]: Taking taylor expansion of 2.0 in k 0.877 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 0.877 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.877 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.877 * [taylor]: Taking taylor expansion of k in k 0.877 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 0.877 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 0.877 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 0.877 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 0.877 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.877 * [taylor]: Taking taylor expansion of 0.5 in k 0.877 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.877 * [taylor]: Taking taylor expansion of 1.0 in k 0.877 * [taylor]: Taking taylor expansion of k in k 0.877 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 0.877 * [taylor]: Taking taylor expansion of (* n PI) in k 0.877 * [taylor]: Taking taylor expansion of n in k 0.877 * [taylor]: Taking taylor expansion of PI in k 0.877 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 0.877 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 0.877 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 0.877 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.877 * [taylor]: Taking taylor expansion of 0.5 in k 0.877 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.877 * [taylor]: Taking taylor expansion of 1.0 in k 0.877 * [taylor]: Taking taylor expansion of k in k 0.877 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.877 * [taylor]: Taking taylor expansion of 2.0 in k 0.878 * [taylor]: Taking taylor expansion of 0 in n 0.879 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.879 * [taylor]: Taking taylor expansion of NAN in n 0.879 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.879 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.879 * [taylor]: Taking taylor expansion of 0.5 in n 0.879 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.879 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.879 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.879 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.879 * [taylor]: Taking taylor expansion of 1.0 in n 0.879 * [taylor]: Taking taylor expansion of (log PI) in n 0.880 * [taylor]: Taking taylor expansion of PI in n 0.880 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.880 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.880 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.880 * [taylor]: Taking taylor expansion of 1.0 in n 0.880 * [taylor]: Taking taylor expansion of (log n) in n 0.880 * [taylor]: Taking taylor expansion of n in n 0.880 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.880 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.880 * [taylor]: Taking taylor expansion of 1.0 in n 0.880 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.880 * [taylor]: Taking taylor expansion of 2.0 in n 0.885 * [taylor]: Taking taylor expansion of (- (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) (+ (* 0.5 (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 0.885 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.885 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.885 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.885 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.885 * [taylor]: Taking taylor expansion of 0.5 in n 0.885 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.885 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.885 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.885 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.885 * [taylor]: Taking taylor expansion of 1.0 in n 0.885 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.885 * [taylor]: Taking taylor expansion of 2.0 in n 0.885 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.885 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.885 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.885 * [taylor]: Taking taylor expansion of 1.0 in n 0.885 * [taylor]: Taking taylor expansion of (log n) in n 0.885 * [taylor]: Taking taylor expansion of n in n 0.885 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.885 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.886 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.886 * [taylor]: Taking taylor expansion of 1.0 in n 0.886 * [taylor]: Taking taylor expansion of (log PI) in n 0.886 * [taylor]: Taking taylor expansion of PI in n 0.886 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.886 * [taylor]: Taking taylor expansion of NAN in n 0.886 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 0.886 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.886 * [taylor]: Taking taylor expansion of 0.5 in n 0.886 * [taylor]: Taking taylor expansion of (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.886 * [taylor]: Taking taylor expansion of (* (log 2.0) NAN) in n 0.886 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.887 * [taylor]: Taking taylor expansion of 2.0 in n 0.887 * [taylor]: Taking taylor expansion of NAN in n 0.887 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.887 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.887 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.887 * [taylor]: Taking taylor expansion of 0.5 in n 0.887 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.887 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.887 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.887 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.887 * [taylor]: Taking taylor expansion of 1.0 in n 0.887 * [taylor]: Taking taylor expansion of (log PI) in n 0.887 * [taylor]: Taking taylor expansion of PI in n 0.887 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.887 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.887 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.887 * [taylor]: Taking taylor expansion of 1.0 in n 0.887 * [taylor]: Taking taylor expansion of (log n) in n 0.887 * [taylor]: Taking taylor expansion of n in n 0.887 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.887 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.887 * [taylor]: Taking taylor expansion of 1.0 in n 0.887 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.887 * [taylor]: Taking taylor expansion of 2.0 in n 0.888 * [taylor]: Taking taylor expansion of (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.888 * [taylor]: Taking taylor expansion of 0.5 in n 0.888 * [taylor]: Taking taylor expansion of (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.888 * [taylor]: Taking taylor expansion of (* NAN (log (* n PI))) in n 0.888 * [taylor]: Taking taylor expansion of NAN in n 0.888 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 0.888 * [taylor]: Taking taylor expansion of (* n PI) in n 0.888 * [taylor]: Taking taylor expansion of n in n 0.888 * [taylor]: Taking taylor expansion of PI in n 0.888 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.888 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.888 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.888 * [taylor]: Taking taylor expansion of 0.5 in n 0.888 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.888 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.888 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.888 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.888 * [taylor]: Taking taylor expansion of 1.0 in n 0.888 * [taylor]: Taking taylor expansion of (log PI) in n 0.888 * [taylor]: Taking taylor expansion of PI in n 0.888 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.888 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.888 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.888 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.889 * [taylor]: Taking taylor expansion of 1.0 in n 0.889 * [taylor]: Taking taylor expansion of (log n) in n 0.889 * [taylor]: Taking taylor expansion of n in n 0.889 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.889 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.889 * [taylor]: Taking taylor expansion of 1.0 in n 0.889 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.889 * [taylor]: Taking taylor expansion of 2.0 in n 0.903 * [taylor]: Taking taylor expansion of (- (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 0.903 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 0.904 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.904 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.904 * [taylor]: Taking taylor expansion of NAN in n 0.904 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.904 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.904 * [taylor]: Taking taylor expansion of 0.5 in n 0.904 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.904 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.904 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.904 * [taylor]: Taking taylor expansion of 1.0 in n 0.904 * [taylor]: Taking taylor expansion of (log PI) in n 0.904 * [taylor]: Taking taylor expansion of PI in n 0.904 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.904 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.904 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.904 * [taylor]: Taking taylor expansion of 1.0 in n 0.904 * [taylor]: Taking taylor expansion of (log n) in n 0.904 * [taylor]: Taking taylor expansion of n in n 0.904 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.904 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.904 * [taylor]: Taking taylor expansion of 1.0 in n 0.904 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.904 * [taylor]: Taking taylor expansion of 2.0 in n 0.905 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 0.905 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) in n 0.905 * [taylor]: Taking taylor expansion of 0.125 in n 0.905 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2))) in n 0.905 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.905 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.905 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.905 * [taylor]: Taking taylor expansion of 0.5 in n 0.905 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.905 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.905 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.905 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.905 * [taylor]: Taking taylor expansion of 1.0 in n 0.905 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.905 * [taylor]: Taking taylor expansion of 2.0 in n 0.905 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.905 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.905 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.905 * [taylor]: Taking taylor expansion of 1.0 in n 0.905 * [taylor]: Taking taylor expansion of (log n) in n 0.905 * [taylor]: Taking taylor expansion of n in n 0.906 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.906 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.906 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.906 * [taylor]: Taking taylor expansion of 1.0 in n 0.906 * [taylor]: Taking taylor expansion of (log PI) in n 0.906 * [taylor]: Taking taylor expansion of PI in n 0.906 * [taylor]: Taking taylor expansion of (* NAN (pow (log (* n PI)) 2)) in n 0.906 * [taylor]: Taking taylor expansion of NAN in n 0.907 * [taylor]: Taking taylor expansion of (pow (log (* n PI)) 2) in n 0.907 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 0.907 * [taylor]: Taking taylor expansion of (* n PI) in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.907 * [taylor]: Taking taylor expansion of PI in n 0.907 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.907 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.907 * [taylor]: Taking taylor expansion of 0.25 in n 0.907 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.907 * [taylor]: Taking taylor expansion of (* (log 2.0) (* NAN (log (* n PI)))) in n 0.907 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.907 * [taylor]: Taking taylor expansion of 2.0 in n 0.907 * [taylor]: Taking taylor expansion of (* NAN (log (* n PI))) in n 0.907 * [taylor]: Taking taylor expansion of NAN in n 0.907 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 0.907 * [taylor]: Taking taylor expansion of (* n PI) in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.907 * [taylor]: Taking taylor expansion of PI in n 0.907 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.907 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.907 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.907 * [taylor]: Taking taylor expansion of 0.5 in n 0.907 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.907 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.907 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.907 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.907 * [taylor]: Taking taylor expansion of 1.0 in n 0.907 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.907 * [taylor]: Taking taylor expansion of 2.0 in n 0.907 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.907 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.907 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.907 * [taylor]: Taking taylor expansion of 1.0 in n 0.907 * [taylor]: Taking taylor expansion of (log n) in n 0.907 * [taylor]: Taking taylor expansion of n in n 0.907 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.908 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.908 * [taylor]: Taking taylor expansion of 1.0 in n 0.908 * [taylor]: Taking taylor expansion of (log PI) in n 0.908 * [taylor]: Taking taylor expansion of PI in n 0.908 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.908 * [taylor]: Taking taylor expansion of 0.125 in n 0.908 * [taylor]: Taking taylor expansion of (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.908 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) NAN) in n 0.908 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 0.908 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.908 * [taylor]: Taking taylor expansion of 2.0 in n 0.909 * [taylor]: Taking taylor expansion of NAN in n 0.909 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.909 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.909 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.909 * [taylor]: Taking taylor expansion of 0.5 in n 0.909 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.909 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.909 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.909 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.909 * [taylor]: Taking taylor expansion of 1.0 in n 0.909 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.909 * [taylor]: Taking taylor expansion of 2.0 in n 0.909 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.909 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.909 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.909 * [taylor]: Taking taylor expansion of 1.0 in n 0.909 * [taylor]: Taking taylor expansion of (log n) in n 0.909 * [taylor]: Taking taylor expansion of n in n 0.909 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.909 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.909 * [taylor]: Taking taylor expansion of 1.0 in n 0.909 * [taylor]: Taking taylor expansion of (log PI) in n 0.909 * [taylor]: Taking taylor expansion of PI in n 0.910 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 0.910 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.910 * [taylor]: Taking taylor expansion of 0.5 in n 0.910 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.910 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log (* n PI))) in n 0.910 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.910 * [taylor]: Taking taylor expansion of NAN in n 0.910 * [taylor]: Taking taylor expansion of (log (* n PI)) 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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.910 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.910 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.910 * [taylor]: Taking taylor expansion of 0.5 in n 0.910 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.910 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.910 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.910 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.910 * [taylor]: Taking taylor expansion of 1.0 in n 0.910 * [taylor]: Taking taylor expansion of (log PI) in n 0.910 * [taylor]: Taking taylor expansion of PI in n 0.910 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.910 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.911 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.911 * [taylor]: Taking taylor expansion of 1.0 in n 0.911 * [taylor]: Taking taylor expansion of (log n) in n 0.911 * [taylor]: Taking taylor expansion of n in n 0.911 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.911 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.911 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.911 * [taylor]: Taking taylor expansion of 1.0 in n 0.911 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.911 * [taylor]: Taking taylor expansion of 2.0 in n 0.912 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.912 * [taylor]: Taking taylor expansion of 0.5 in n 0.912 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.912 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow NAN 3)) in n 0.912 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.912 * [taylor]: Taking taylor expansion of 2.0 in n 0.912 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.912 * [taylor]: Taking taylor expansion of NAN in n 0.912 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.912 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.912 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.912 * [taylor]: Taking taylor expansion of 0.5 in n 0.912 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.912 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.912 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.912 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.912 * [taylor]: Taking taylor expansion of 1.0 in n 0.912 * [taylor]: Taking taylor expansion of (log PI) in n 0.912 * [taylor]: Taking taylor expansion of PI in n 0.912 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.912 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.912 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.912 * [taylor]: Taking taylor expansion of 1.0 in n 0.912 * [taylor]: Taking taylor expansion of (log n) in n 0.912 * [taylor]: Taking taylor expansion of n in n 0.912 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.912 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.912 * [taylor]: Taking taylor expansion of 1.0 in n 0.912 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.912 * [taylor]: Taking taylor expansion of 2.0 in n 0.943 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.943 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.943 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.943 * [taylor]: Taking taylor expansion of k in n 0.943 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.943 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 0.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 0.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 0.943 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.943 * [taylor]: Taking taylor expansion of 0.5 in n 0.943 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.943 * [taylor]: Taking taylor expansion of 1.0 in n 0.943 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.943 * [taylor]: Taking taylor expansion of k in n 0.943 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.943 * [taylor]: Taking taylor expansion of 2.0 in n 0.944 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.944 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 0.944 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 0.944 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.944 * [taylor]: Taking taylor expansion of 0.5 in n 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.944 * [taylor]: Taking taylor expansion of 1.0 in n 0.944 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.944 * [taylor]: Taking taylor expansion of k in n 0.944 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 0.944 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.944 * [taylor]: Taking taylor expansion of PI in n 0.944 * [taylor]: Taking taylor expansion of n in n 0.944 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.944 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.944 * [taylor]: Taking taylor expansion of k in k 0.944 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.944 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 0.944 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 0.944 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 0.944 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.944 * [taylor]: Taking taylor expansion of 0.5 in k 0.944 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.944 * [taylor]: Taking taylor expansion of 1.0 in k 0.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.944 * [taylor]: Taking taylor expansion of k in k 0.944 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.944 * [taylor]: Taking taylor expansion of 2.0 in k 0.944 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 0.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 0.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.945 * [taylor]: Taking taylor expansion of 0.5 in k 0.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.945 * [taylor]: Taking taylor expansion of 1.0 in k 0.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.945 * [taylor]: Taking taylor expansion of k in k 0.945 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 0.945 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.945 * [taylor]: Taking taylor expansion of PI in k 0.945 * [taylor]: Taking taylor expansion of n in k 0.945 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.945 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.945 * [taylor]: Taking taylor expansion of k in k 0.945 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.945 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 0.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 0.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 0.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.945 * [taylor]: Taking taylor expansion of 0.5 in k 0.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.945 * [taylor]: Taking taylor expansion of 1.0 in k 0.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.945 * [taylor]: Taking taylor expansion of k in k 0.945 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.945 * [taylor]: Taking taylor expansion of 2.0 in k 0.945 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.945 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 0.945 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 0.945 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.945 * [taylor]: Taking taylor expansion of 0.5 in k 0.945 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.945 * [taylor]: Taking taylor expansion of 1.0 in k 0.945 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.945 * [taylor]: Taking taylor expansion of k in k 0.946 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 0.946 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.946 * [taylor]: Taking taylor expansion of PI in k 0.946 * [taylor]: Taking taylor expansion of n in k 0.946 * [taylor]: Taking taylor expansion of 0 in n 0.946 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (* NAN (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 0.946 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 0.946 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 0.946 * [taylor]: Taking taylor expansion of 0.5 in n 0.946 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 0.946 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 0.946 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.946 * [taylor]: Taking taylor expansion of PI in n 0.946 * [taylor]: Taking taylor expansion of n in n 0.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.947 * [taylor]: Taking taylor expansion of 1.0 in n 0.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.947 * [taylor]: Taking taylor expansion of k in n 0.947 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 0.947 * [taylor]: Taking taylor expansion of NAN in n 0.947 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 0.947 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 0.947 * [taylor]: Taking taylor expansion of 0.5 in n 0.947 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 0.947 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.947 * [taylor]: Taking taylor expansion of 2.0 in n 0.947 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.947 * [taylor]: Taking taylor expansion of 1.0 in n 0.947 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.947 * [taylor]: Taking taylor expansion of k in n 0.948 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (* (pow NAN 3) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 0.948 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 0.948 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 0.948 * [taylor]: Taking taylor expansion of 0.5 in n 0.948 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 0.948 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 0.948 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.948 * [taylor]: Taking taylor expansion of PI in n 0.948 * [taylor]: Taking taylor expansion of n in n 0.948 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.948 * [taylor]: Taking taylor expansion of 1.0 in n 0.948 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.948 * [taylor]: Taking taylor expansion of k in n 0.949 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 0.949 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.949 * [taylor]: Taking taylor expansion of NAN in n 0.949 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 0.949 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 0.949 * [taylor]: Taking taylor expansion of 0.5 in n 0.949 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 0.949 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.949 * [taylor]: Taking taylor expansion of 2.0 in n 0.949 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.949 * [taylor]: Taking taylor expansion of 1.0 in n 0.949 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.949 * [taylor]: Taking taylor expansion of k in n 0.951 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (* (pow NAN 5) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 0.951 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 0.951 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 0.951 * [taylor]: Taking taylor expansion of 0.5 in n 0.951 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 0.951 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 0.951 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.952 * [taylor]: Taking taylor expansion of PI in n 0.952 * [taylor]: Taking taylor expansion of n in n 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.952 * [taylor]: Taking taylor expansion of 1.0 in n 0.952 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.952 * [taylor]: Taking taylor expansion of k in n 0.952 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 0.952 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.952 * [taylor]: Taking taylor expansion of NAN in n 0.952 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 0.952 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 0.952 * [taylor]: Taking taylor expansion of 0.5 in n 0.952 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 0.952 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.952 * [taylor]: Taking taylor expansion of 2.0 in n 0.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.952 * [taylor]: Taking taylor expansion of 1.0 in n 0.952 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.952 * [taylor]: Taking taylor expansion of k in n 0.954 * [approximate]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in (k n) around 0 0.954 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 0.954 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 0.954 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 0.954 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 0.954 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 0.954 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.954 * [taylor]: Taking taylor expansion of 0.5 in n 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.954 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.954 * [taylor]: Taking taylor expansion of k in n 0.954 * [taylor]: Taking taylor expansion of 1.0 in n 0.954 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.954 * [taylor]: Taking taylor expansion of 2.0 in n 0.955 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 0.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 0.955 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.955 * [taylor]: Taking taylor expansion of 0.5 in n 0.955 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.955 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.955 * [taylor]: Taking taylor expansion of k in n 0.955 * [taylor]: Taking taylor expansion of 1.0 in n 0.955 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 0.955 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.955 * [taylor]: Taking taylor expansion of -1 in n 0.955 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.955 * [taylor]: Taking taylor expansion of PI in n 0.955 * [taylor]: Taking taylor expansion of n in n 0.955 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.955 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.955 * [taylor]: Taking taylor expansion of -1 in n 0.955 * [taylor]: Taking taylor expansion of k in n 0.956 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 0.956 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 0.956 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 0.956 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 0.956 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 0.956 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.956 * [taylor]: Taking taylor expansion of 0.5 in k 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.956 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.956 * [taylor]: Taking taylor expansion of k in k 0.956 * [taylor]: Taking taylor expansion of 1.0 in k 0.956 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.956 * [taylor]: Taking taylor expansion of 2.0 in k 0.956 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.956 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 0.956 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 0.956 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.956 * [taylor]: Taking taylor expansion of 0.5 in k 0.956 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.956 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.956 * [taylor]: Taking taylor expansion of k in k 0.956 * [taylor]: Taking taylor expansion of 1.0 in k 0.956 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 0.956 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 0.956 * [taylor]: Taking taylor expansion of -1 in k 0.956 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.956 * [taylor]: Taking taylor expansion of PI in k 0.956 * [taylor]: Taking taylor expansion of n in k 0.956 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.956 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.956 * [taylor]: Taking taylor expansion of -1 in k 0.956 * [taylor]: Taking taylor expansion of k in k 0.957 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 0.957 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 0.957 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 0.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 0.957 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 0.957 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.957 * [taylor]: Taking taylor expansion of 0.5 in k 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.957 * [taylor]: Taking taylor expansion of k in k 0.957 * [taylor]: Taking taylor expansion of 1.0 in k 0.957 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.957 * [taylor]: Taking taylor expansion of 2.0 in k 0.957 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.957 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 0.957 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 0.957 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.957 * [taylor]: Taking taylor expansion of 0.5 in k 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.957 * [taylor]: Taking taylor expansion of k in k 0.957 * [taylor]: Taking taylor expansion of 1.0 in k 0.957 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 0.957 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 0.957 * [taylor]: Taking taylor expansion of -1 in k 0.957 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.957 * [taylor]: Taking taylor expansion of PI in k 0.957 * [taylor]: Taking taylor expansion of n 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 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) NAN) in n 0.958 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 0.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 0.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 0.958 * [taylor]: Taking taylor expansion of 0.5 in n 0.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 0.958 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.958 * [taylor]: Taking taylor expansion of k in n 0.958 * [taylor]: Taking taylor expansion of 1.0 in n 0.958 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 0.958 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.958 * [taylor]: Taking taylor expansion of -1 in n 0.958 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.958 * [taylor]: Taking taylor expansion of PI in n 0.958 * [taylor]: Taking taylor expansion of n in n 0.959 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 0.959 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 0.959 * [taylor]: Taking taylor expansion of 0.5 in n 0.959 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 0.959 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.959 * [taylor]: Taking taylor expansion of 2.0 in n 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.959 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.959 * [taylor]: Taking taylor expansion of k in n 0.959 * [taylor]: Taking taylor expansion of 1.0 in n 0.959 * [taylor]: Taking taylor expansion of NAN in n 0.960 * [taylor]: Taking taylor expansion of (neg (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (* NAN (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) in n 0.960 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (* NAN (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 0.960 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 0.960 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 0.960 * [taylor]: Taking taylor expansion of 0.5 in n 0.960 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.960 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.960 * [taylor]: Taking taylor expansion of k in n 0.960 * [taylor]: Taking taylor expansion of 1.0 in n 0.960 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 0.960 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.960 * [taylor]: Taking taylor expansion of -1 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 0.961 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 0.961 * [taylor]: Taking taylor expansion of NAN in n 0.961 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 0.961 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 0.961 * [taylor]: Taking taylor expansion of 0.5 in n 0.961 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 0.961 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.961 * [taylor]: Taking taylor expansion of 2.0 in n 0.961 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.961 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.961 * [taylor]: Taking taylor expansion of k in n 0.961 * [taylor]: Taking taylor expansion of 1.0 in n 0.964 * [taylor]: Taking taylor expansion of 0 in n 0.967 * [taylor]: Taking taylor expansion of 0 in n 0.968 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.968 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* n PI) (* 0.5 (- 1.0 k)))) in (n k) around 0 0.968 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* n PI) (* 0.5 (- 1.0 k)))) in k 0.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.968 * [taylor]: Taking taylor expansion of k in k 0.968 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 0.968 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 0.968 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 0.968 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.968 * [taylor]: Taking taylor expansion of 0.5 in k 0.968 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.968 * [taylor]: Taking taylor expansion of 1.0 in k 0.968 * [taylor]: Taking taylor expansion of k in k 0.968 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 0.968 * [taylor]: Taking taylor expansion of (* n PI) in k 0.968 * [taylor]: Taking taylor expansion of n in k 0.968 * [taylor]: Taking taylor expansion of PI in k 0.968 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* n PI) (* 0.5 (- 1.0 k)))) in n 0.968 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.968 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.968 * [taylor]: Taking taylor expansion of k in n 0.969 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 0.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 0.969 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 0.969 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.969 * [taylor]: Taking taylor expansion of 0.5 in n 0.969 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.969 * [taylor]: Taking taylor expansion of 1.0 in n 0.969 * [taylor]: Taking taylor expansion of k in n 0.969 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 0.969 * [taylor]: Taking taylor expansion of (* n PI) in n 0.969 * [taylor]: Taking taylor expansion of n in n 0.969 * [taylor]: Taking taylor expansion of PI in n 0.969 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* n PI) (* 0.5 (- 1.0 k)))) in n 0.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.969 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.969 * [taylor]: Taking taylor expansion of k in n 0.969 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 0.969 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 0.969 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 0.969 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.969 * [taylor]: Taking taylor expansion of 0.5 in n 0.969 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.969 * [taylor]: Taking taylor expansion of 1.0 in n 0.969 * [taylor]: Taking taylor expansion of k in n 0.969 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 0.969 * [taylor]: Taking taylor expansion of (* n PI) in n 0.969 * [taylor]: Taking taylor expansion of n in n 0.969 * [taylor]: Taking taylor expansion of PI in n 0.970 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI)))))) in k 0.970 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.970 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.970 * [taylor]: Taking taylor expansion of k in k 0.970 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) in k 0.970 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log n) (log PI)))) in k 0.970 * [taylor]: Taking taylor expansion of 0.5 in k 0.970 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log n) (log PI))) in k 0.970 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.970 * [taylor]: Taking taylor expansion of 1.0 in k 0.970 * [taylor]: Taking taylor expansion of k in k 0.970 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 0.970 * [taylor]: Taking taylor expansion of (log n) in k 0.970 * [taylor]: Taking taylor expansion of n in k 0.970 * [taylor]: Taking taylor expansion of (log PI) in k 0.970 * [taylor]: Taking taylor expansion of PI in k 0.971 * [taylor]: Taking taylor expansion of 0 in k 0.972 * [taylor]: Taking taylor expansion of 0 in k 0.975 * [taylor]: Taking taylor expansion of 0 in k 0.981 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.981 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.981 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.981 * [taylor]: Taking taylor expansion of k in k 0.981 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 0.981 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 0.981 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.981 * [taylor]: Taking taylor expansion of 0.5 in k 0.981 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.981 * [taylor]: Taking taylor expansion of 1.0 in k 0.981 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.981 * [taylor]: Taking taylor expansion of k in k 0.981 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 0.981 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.981 * [taylor]: Taking taylor expansion of PI in k 0.981 * [taylor]: Taking taylor expansion of n in k 0.982 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.982 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.982 * [taylor]: Taking taylor expansion of k in n 0.982 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 0.982 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 0.982 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.982 * [taylor]: Taking taylor expansion of 0.5 in n 0.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.982 * [taylor]: Taking taylor expansion of 1.0 in n 0.982 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.982 * [taylor]: Taking taylor expansion of k in n 0.982 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 0.982 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.982 * [taylor]: Taking taylor expansion of PI in n 0.982 * [taylor]: Taking taylor expansion of n in n 0.982 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.982 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.982 * [taylor]: Taking taylor expansion of k in n 0.982 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 0.982 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 0.982 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.982 * [taylor]: Taking taylor expansion of 0.5 in n 0.982 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.982 * [taylor]: Taking taylor expansion of 1.0 in n 0.982 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.982 * [taylor]: Taking taylor expansion of k in n 0.982 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 0.982 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.982 * [taylor]: Taking taylor expansion of PI in n 0.983 * [taylor]: Taking taylor expansion of n in n 0.983 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))))) in k 0.983 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.983 * [taylor]: Taking taylor expansion of k in k 0.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 0.983 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 0.983 * [taylor]: Taking taylor expansion of 0.5 in k 0.983 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 0.983 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 0.983 * [taylor]: Taking taylor expansion of (log PI) in k 0.983 * [taylor]: Taking taylor expansion of PI in k 0.983 * [taylor]: Taking taylor expansion of (log n) in k 0.983 * [taylor]: Taking taylor expansion of n in k 0.983 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.983 * [taylor]: Taking taylor expansion of 1.0 in k 0.983 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.983 * [taylor]: Taking taylor expansion of k in k 0.984 * [taylor]: Taking taylor expansion of 0 in k 0.985 * [taylor]: Taking taylor expansion of 0 in k 0.987 * [taylor]: Taking taylor expansion of 0 in k 0.988 * [approximate]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.988 * [taylor]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.988 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.988 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 0.988 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 0.988 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.988 * [taylor]: Taking taylor expansion of 0.5 in k 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.988 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.988 * [taylor]: Taking taylor expansion of k in k 0.988 * [taylor]: Taking taylor expansion of 1.0 in k 0.988 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 0.988 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 0.988 * [taylor]: Taking taylor expansion of -1 in k 0.988 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.988 * [taylor]: Taking taylor expansion of PI in k 0.988 * [taylor]: Taking taylor expansion of n in k 0.989 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.989 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.989 * [taylor]: Taking taylor expansion of -1 in k 0.989 * [taylor]: Taking taylor expansion of k in k 0.989 * [taylor]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.989 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.989 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 0.989 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 0.989 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.989 * [taylor]: Taking taylor expansion of 0.5 in n 0.989 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.989 * [taylor]: Taking taylor expansion of k in n 0.989 * [taylor]: Taking taylor expansion of 1.0 in n 0.989 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 0.989 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.989 * [taylor]: Taking taylor expansion of -1 in n 0.989 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.989 * [taylor]: Taking taylor expansion of PI in n 0.989 * [taylor]: Taking taylor expansion of n in n 0.989 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.989 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.989 * [taylor]: Taking taylor expansion of -1 in n 0.989 * [taylor]: Taking taylor expansion of k in n 0.990 * [taylor]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.990 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.990 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 0.990 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 0.990 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.990 * [taylor]: Taking taylor expansion of 0.5 in n 0.990 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.990 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.990 * [taylor]: Taking taylor expansion of k in n 0.990 * [taylor]: Taking taylor expansion of 1.0 in n 0.990 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 0.990 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.990 * [taylor]: Taking taylor expansion of -1 in n 0.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.990 * [taylor]: Taking taylor expansion of PI in n 0.990 * [taylor]: Taking taylor expansion of n in n 0.990 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.990 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.990 * [taylor]: Taking taylor expansion of -1 in n 0.990 * [taylor]: Taking taylor expansion of k in n 0.990 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 0.991 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 0.991 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 0.991 * [taylor]: Taking taylor expansion of 0.5 in k 0.991 * [taylor]: Taking taylor expansion of (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 0.991 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 0.991 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 0.991 * [taylor]: Taking taylor expansion of (* -1 PI) in k 0.991 * [taylor]: Taking taylor expansion of -1 in k 0.991 * [taylor]: Taking taylor expansion of PI in k 0.991 * [taylor]: Taking taylor expansion of (log n) in k 0.991 * [taylor]: Taking taylor expansion of n in k 0.991 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.991 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.991 * [taylor]: Taking taylor expansion of k in k 0.991 * [taylor]: Taking taylor expansion of 1.0 in k 0.991 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.991 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.991 * [taylor]: Taking taylor expansion of -1 in k 0.991 * [taylor]: Taking taylor expansion of k in k 0.992 * [taylor]: Taking taylor expansion of 0 in k 0.993 * [taylor]: Taking taylor expansion of 0 in k 0.995 * [taylor]: Taking taylor expansion of 0 in k 0.996 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 0.996 * [approximate]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in (n k) around 0 0.996 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 0.996 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 0.996 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 0.996 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.996 * [taylor]: Taking taylor expansion of 0.5 in k 0.996 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.996 * [taylor]: Taking taylor expansion of 1.0 in k 0.996 * [taylor]: Taking taylor expansion of k in k 0.996 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 0.996 * [taylor]: Taking taylor expansion of (* n PI) in k 0.996 * [taylor]: Taking taylor expansion of n in k 0.996 * [taylor]: Taking taylor expansion of PI in k 0.996 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 0.996 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 0.996 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 0.996 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.996 * [taylor]: Taking taylor expansion of 0.5 in n 0.996 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.996 * [taylor]: Taking taylor expansion of 1.0 in n 0.996 * [taylor]: Taking taylor expansion of k in n 0.996 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 0.996 * [taylor]: Taking taylor expansion of (* n PI) in n 0.996 * [taylor]: Taking taylor expansion of n in n 0.996 * [taylor]: Taking taylor expansion of PI in n 0.996 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 0.997 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 0.997 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 0.997 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.997 * [taylor]: Taking taylor expansion of 0.5 in n 0.997 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.997 * [taylor]: Taking taylor expansion of 1.0 in n 0.997 * [taylor]: Taking taylor expansion of k in n 0.997 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 0.997 * [taylor]: Taking taylor expansion of (* n PI) in n 0.997 * [taylor]: Taking taylor expansion of n in n 0.997 * [taylor]: Taking taylor expansion of PI in n 0.997 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) in k 0.997 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log n) (log PI)))) in k 0.997 * [taylor]: Taking taylor expansion of 0.5 in k 0.997 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log n) (log PI))) in k 0.997 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.997 * [taylor]: Taking taylor expansion of 1.0 in k 0.997 * [taylor]: Taking taylor expansion of k in k 0.997 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 0.997 * [taylor]: Taking taylor expansion of (log n) in k 0.997 * [taylor]: Taking taylor expansion of n in k 0.997 * [taylor]: Taking taylor expansion of (log PI) in k 0.997 * [taylor]: Taking taylor expansion of PI in k 0.998 * [taylor]: Taking taylor expansion of 0 in k 0.999 * [taylor]: Taking taylor expansion of 0 in k 1.001 * [approximate]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.001 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.001 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 1.001 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 1.001 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.001 * [taylor]: Taking taylor expansion of 0.5 in k 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.001 * [taylor]: Taking taylor expansion of 1.0 in k 1.001 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.001 * [taylor]: Taking taylor expansion of k in k 1.001 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 1.001 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.001 * [taylor]: Taking taylor expansion of PI in k 1.001 * [taylor]: Taking taylor expansion of n in k 1.001 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.001 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.001 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.001 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.001 * [taylor]: Taking taylor expansion of 0.5 in n 1.001 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.001 * [taylor]: Taking taylor expansion of 1.0 in n 1.001 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.001 * [taylor]: Taking taylor expansion of k in n 1.001 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.001 * [taylor]: Taking taylor expansion of PI in n 1.001 * [taylor]: Taking taylor expansion of n in n 1.002 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.002 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.002 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.002 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.002 * [taylor]: Taking taylor expansion of 0.5 in n 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.002 * [taylor]: Taking taylor expansion of 1.0 in n 1.002 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.002 * [taylor]: Taking taylor expansion of k in n 1.002 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.002 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.002 * [taylor]: Taking taylor expansion of PI in n 1.002 * [taylor]: Taking taylor expansion of n in n 1.002 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 1.002 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 1.002 * [taylor]: Taking taylor expansion of 0.5 in k 1.002 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 1.002 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 1.002 * [taylor]: Taking taylor expansion of (log PI) in k 1.002 * [taylor]: Taking taylor expansion of PI in k 1.002 * [taylor]: Taking taylor expansion of (log n) in k 1.002 * [taylor]: Taking taylor expansion of n in k 1.002 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.002 * [taylor]: Taking taylor expansion of 1.0 in k 1.002 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.002 * [taylor]: Taking taylor expansion of k in k 1.003 * [taylor]: Taking taylor expansion of 0 in k 1.006 * [taylor]: Taking taylor expansion of 0 in k 1.006 * [taylor]: Taking taylor expansion of 0 in k 1.007 * [approximate]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.007 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.007 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 1.007 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 1.007 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.007 * [taylor]: Taking taylor expansion of 0.5 in k 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.007 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.007 * [taylor]: Taking taylor expansion of k in k 1.007 * [taylor]: Taking taylor expansion of 1.0 in k 1.007 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1.007 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 1.007 * [taylor]: Taking taylor expansion of -1 in k 1.007 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.007 * [taylor]: Taking taylor expansion of PI in k 1.007 * [taylor]: Taking taylor expansion of n in k 1.007 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.007 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.007 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.007 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.007 * [taylor]: Taking taylor expansion of 0.5 in n 1.007 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.007 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.007 * [taylor]: Taking taylor expansion of k in n 1.007 * [taylor]: Taking taylor expansion of 1.0 in n 1.007 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.007 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.007 * [taylor]: Taking taylor expansion of -1 in n 1.007 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.007 * [taylor]: Taking taylor expansion of PI in n 1.007 * [taylor]: Taking taylor expansion of n in n 1.008 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.008 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.008 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.008 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.008 * [taylor]: Taking taylor expansion of 0.5 in n 1.008 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.008 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.008 * [taylor]: Taking taylor expansion of k in n 1.008 * [taylor]: Taking taylor expansion of 1.0 in n 1.008 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.008 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.008 * [taylor]: Taking taylor expansion of -1 in n 1.008 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.008 * [taylor]: Taking taylor expansion of PI in n 1.008 * [taylor]: Taking taylor expansion of n in n 1.008 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 1.008 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 1.008 * [taylor]: Taking taylor expansion of 0.5 in k 1.008 * [taylor]: Taking taylor expansion of (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 1.008 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 1.008 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 1.008 * [taylor]: Taking taylor expansion of (* -1 PI) in k 1.009 * [taylor]: Taking taylor expansion of -1 in k 1.009 * [taylor]: Taking taylor expansion of PI in k 1.009 * [taylor]: Taking taylor expansion of (log n) in k 1.009 * [taylor]: Taking taylor expansion of n in k 1.009 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.009 * [taylor]: Taking taylor expansion of k in k 1.009 * [taylor]: Taking taylor expansion of 1.0 in k 1.009 * [taylor]: Taking taylor expansion of 0 in k 1.010 * [taylor]: Taking taylor expansion of 0 in k 1.011 * [taylor]: Taking taylor expansion of 0 in k 1.011 * * * [progress]: simplifying candidates 1.015 * [simplify]: Simplifying using # : (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (pow (* PI n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (pow (* PI n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (pow (* PI n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 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(sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ k 2.0)) (sqrt k)) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (pow 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n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow PI (/ (- 1.0 k) 2.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (cbrt (sqrt k))) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (fabs (cbrt k))) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (cbrt k))) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI n) (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI n) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2))) (* (sqrt k) (pow (* PI n) (/ k 2.0))) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0)) (pow (* PI n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI n) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI n) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* PI n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI n) (sqrt (- 1.0 k))) (pow (* PI n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI n) (/ 1 (sqrt 2.0))) (* PI n) (pow (* PI n) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI n) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* PI n) (+ (sqrt k) (sqrt 1.0))) (pow (* PI n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI n) (/ 1 (sqrt 2.0))) (* PI n) (* PI n) (pow (* PI n) (- 1.0 k)) (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (exp (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (pow (pow (* PI n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* PI n) (* (/ (- 1.0 k) 2.0) 1/2)) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* (pow (log 2.0) 2) (* NAN (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5)))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* k (* k (pow NAN 5))) (* 0.25 (* (log 2.0) (* (log PI) (* k (* k NAN))))))) (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (* (* (log PI) (* (log n) (* k (* k NAN)))) 0.25)) (+ (* k (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* (log 2.0) (* (log n) (* k (* k NAN))))) NAN)))) (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log PI) 2))))) (* 0.125 (* k (* k (* NAN (pow (log n) 2)))))))) (+ (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* (log 2.0) (* k NAN)) (* (log 2.0) (* k (* k (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (log n) (* k NAN))) (* 0.5 (* (log PI) (* k NAN)))))) (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (log PI) (* k (* k (pow NAN 3))))) (* 0.5 (* (log n) (* k (* k (pow NAN 3))))))))))) (+ (* (/ (pow (* PI n) (* (- 1.0 k) 0.5)) k) (/ (* (pow NAN 3) (pow 2.0 (* (- 1.0 k) 0.5))) k)) (+ (* (/ (pow (* PI n) (* (- 1.0 k) 0.5)) k) (* NAN (pow 2.0 (* (- 1.0 k) 0.5)))) (* (/ (pow (* PI n) (* (- 1.0 k) 0.5)) (pow k 3)) (* (pow NAN 5) (pow 2.0 (* (- 1.0 k) 0.5)))))) (+ (/ (* NAN (pow (exp 0.5) (+ (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n)))) (* (log 2.0) (- 1.0 k))))) k) (/ (pow (exp 0.5) (+ (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n)))) (* (log 2.0) (- 1.0 k)))) NAN)) (+ (* k (* (pow NAN 3) (pow (* PI n) 0.5))) (+ (* (* k k) (* (* NAN (* (log PI) (* (log n) (pow (* PI n) 0.5)))) 0.25)) (- (+ (* NAN (pow (* PI n) 0.5)) (+ (* k (* k (* (pow NAN 5) (pow (* PI n) 0.5)))) (* (* 0.125 (* k k)) (+ (* NAN (* (pow (log n) 2) (pow (* PI n) 0.5))) (* NAN (* (pow (log PI) 2) (pow (* PI n) 0.5))))))) (+ (* (* k k) (* (* (log PI) (* (pow NAN 3) (pow (* PI n) 0.5))) 0.5)) (* 0.5 (+ (* k (* (log n) (* NAN (pow (* PI n) 0.5)))) (+ (* k (* k (* (log n) (* (pow NAN 3) (pow (* PI n) 0.5))))) (* k (* (log PI) (* NAN (pow (* PI n) 0.5))))))))))) (+ (* (/ (pow (* PI n) (* (- 1.0 k) 0.5)) k) (/ (pow NAN 3) k)) (+ (* (/ (pow (* PI n) (* (- 1.0 k) 0.5)) k) NAN) (* (/ (pow (* PI n) (* (- 1.0 k) 0.5)) (pow k 3)) (pow NAN 5)))) (+ (* (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n))))) k) NAN) (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n))))) NAN)) (+ (* 0.125 (* k (* k (* (pow (log PI) 2) (pow (* PI n) 0.5))))) (+ (pow (* PI n) 0.5) (- (+ (* 0.125 (* k (* k (* (pow (log n) 2) (pow (* PI n) 0.5))))) (* (* k k) (* (* (log PI) (* (log n) (pow (* PI n) 0.5))) 0.25))) (* 0.5 (* (* k (pow (* PI n) 0.5)) (log (* PI n))))))) (pow (* PI n) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n))))) 1.067 * * * [progress]: adding candidates to table 1.461 * * [progress]: iteration 3 / 4 1.461 * * * [progress]: picking best candidate 1.502 * * * * [pick]: Picked # 1.502 * * * [progress]: localizing error 1.516 * * * [progress]: generating rewritten candidates 1.516 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.528 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.532 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.536 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.551 * * * [progress]: generating series expansions 1.551 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.551 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 1.551 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.551 * [taylor]: Taking taylor expansion of 1.0 in n 1.551 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.551 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.551 * [taylor]: Taking taylor expansion of k in n 1.551 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.551 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.551 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.551 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.551 * [taylor]: Taking taylor expansion of 0.5 in n 1.551 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.551 * [taylor]: Taking taylor expansion of 1.0 in n 1.552 * [taylor]: Taking taylor expansion of k in n 1.552 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.552 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.552 * [taylor]: Taking taylor expansion of 2.0 in n 1.552 * [taylor]: Taking taylor expansion of (* n PI) in n 1.552 * [taylor]: Taking taylor expansion of n in n 1.552 * [taylor]: Taking taylor expansion of PI in n 1.552 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.552 * [taylor]: Taking taylor expansion of 1.0 in k 1.552 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.552 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.552 * [taylor]: Taking taylor expansion of k in k 1.552 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.552 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.552 * [taylor]: Taking taylor expansion of 0.5 in k 1.552 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.552 * [taylor]: Taking taylor expansion of 1.0 in k 1.552 * [taylor]: Taking taylor expansion of k in k 1.552 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.552 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.552 * [taylor]: Taking taylor expansion of 2.0 in k 1.552 * [taylor]: Taking taylor expansion of (* n PI) in k 1.552 * [taylor]: Taking taylor expansion of n in k 1.552 * [taylor]: Taking taylor expansion of PI in k 1.552 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.552 * [taylor]: Taking taylor expansion of 1.0 in k 1.552 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.553 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.553 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.553 * [taylor]: Taking taylor expansion of k in k 1.553 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.553 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.553 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.553 * [taylor]: Taking taylor expansion of 0.5 in k 1.553 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.553 * [taylor]: Taking taylor expansion of 1.0 in k 1.553 * [taylor]: Taking taylor expansion of k in k 1.553 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.553 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.553 * [taylor]: Taking taylor expansion of 2.0 in k 1.553 * [taylor]: Taking taylor expansion of (* n PI) in k 1.553 * [taylor]: Taking taylor expansion of n in k 1.553 * [taylor]: Taking taylor expansion of PI in k 1.553 * [taylor]: Taking taylor expansion of 0 in n 1.554 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.554 * [taylor]: Taking taylor expansion of 1.0 in n 1.554 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.554 * [taylor]: Taking taylor expansion of NAN in n 1.554 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.554 * [taylor]: Taking taylor expansion of 0.5 in n 1.554 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.554 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.554 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.554 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.554 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.554 * [taylor]: Taking taylor expansion of 1.0 in n 1.554 * [taylor]: Taking taylor expansion of (log PI) in n 1.554 * [taylor]: Taking taylor expansion of PI in n 1.555 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.555 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.555 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.555 * [taylor]: Taking taylor expansion of 1.0 in n 1.555 * [taylor]: Taking taylor expansion of (log n) in n 1.555 * [taylor]: Taking taylor expansion of n in n 1.555 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.555 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.555 * [taylor]: Taking taylor expansion of 1.0 in n 1.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.555 * [taylor]: Taking taylor expansion of 2.0 in n 1.559 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.559 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 1.559 * [taylor]: Taking taylor expansion of 1.0 in n 1.559 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 1.559 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.559 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.559 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.559 * [taylor]: Taking taylor expansion of 0.5 in n 1.559 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.559 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.559 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.559 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.559 * [taylor]: Taking taylor expansion of 1.0 in n 1.559 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.559 * [taylor]: Taking taylor expansion of 2.0 in n 1.559 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.559 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.559 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.559 * [taylor]: Taking taylor expansion of 1.0 in n 1.559 * [taylor]: Taking taylor expansion of (log n) in n 1.559 * [taylor]: Taking taylor expansion of n in n 1.560 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.560 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.560 * [taylor]: Taking taylor expansion of 1.0 in n 1.560 * [taylor]: Taking taylor expansion of (log PI) in n 1.560 * [taylor]: Taking taylor expansion of PI in n 1.561 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.561 * [taylor]: Taking taylor expansion of NAN in n 1.561 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.561 * [taylor]: Taking taylor expansion of 0.5 in n 1.561 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.561 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 1.561 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.561 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.561 * [taylor]: Taking taylor expansion of 2.0 in n 1.561 * [taylor]: Taking taylor expansion of (* n PI) in n 1.561 * [taylor]: Taking taylor expansion of n in n 1.561 * [taylor]: Taking taylor expansion of PI in n 1.561 * [taylor]: Taking taylor expansion of NAN in n 1.561 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.561 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.561 * [taylor]: Taking taylor expansion of 0.5 in n 1.561 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.561 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.561 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.561 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.561 * [taylor]: Taking taylor expansion of 1.0 in n 1.561 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.561 * [taylor]: Taking taylor expansion of 2.0 in n 1.561 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.561 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.561 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.561 * [taylor]: Taking taylor expansion of 1.0 in n 1.561 * [taylor]: Taking taylor expansion of (log n) in n 1.561 * [taylor]: Taking taylor expansion of n in n 1.562 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.562 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.562 * [taylor]: Taking taylor expansion of 1.0 in n 1.562 * [taylor]: Taking taylor expansion of (log PI) in n 1.562 * [taylor]: Taking taylor expansion of PI in n 1.572 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.572 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 1.572 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.572 * [taylor]: Taking taylor expansion of 0.125 in n 1.572 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.572 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 1.572 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.572 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.572 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.572 * [taylor]: Taking taylor expansion of 2.0 in n 1.572 * [taylor]: Taking taylor expansion of (* n PI) in n 1.572 * [taylor]: Taking taylor expansion of n in n 1.572 * [taylor]: Taking taylor expansion of PI in n 1.572 * [taylor]: Taking taylor expansion of NAN in n 1.572 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.572 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.572 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.572 * [taylor]: Taking taylor expansion of 0.5 in n 1.572 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.572 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.572 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.572 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.572 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.572 * [taylor]: Taking taylor expansion of 1.0 in n 1.572 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.572 * [taylor]: Taking taylor expansion of 2.0 in n 1.572 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.572 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.573 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.573 * [taylor]: Taking taylor expansion of 1.0 in n 1.573 * [taylor]: Taking taylor expansion of (log n) in n 1.573 * [taylor]: Taking taylor expansion of n in n 1.573 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.573 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.573 * [taylor]: Taking taylor expansion of 1.0 in n 1.573 * [taylor]: Taking taylor expansion of (log PI) in n 1.573 * [taylor]: Taking taylor expansion of PI in n 1.574 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 1.574 * [taylor]: Taking taylor expansion of 1.0 in n 1.574 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 1.574 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.574 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.574 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.574 * [taylor]: Taking taylor expansion of 0.5 in n 1.574 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.574 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.574 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.574 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.574 * [taylor]: Taking taylor expansion of 1.0 in n 1.574 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.574 * [taylor]: Taking taylor expansion of 2.0 in n 1.574 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.574 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.574 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.574 * [taylor]: Taking taylor expansion of 1.0 in n 1.574 * [taylor]: Taking taylor expansion of (log n) in n 1.574 * [taylor]: Taking taylor expansion of n in n 1.574 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.574 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.574 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.574 * [taylor]: Taking taylor expansion of 1.0 in n 1.574 * [taylor]: Taking taylor expansion of (log PI) in n 1.574 * [taylor]: Taking taylor expansion of PI in n 1.575 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.575 * [taylor]: Taking taylor expansion of NAN in n 1.575 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.575 * [taylor]: Taking taylor expansion of 0.5 in n 1.575 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.575 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 1.575 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.575 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.575 * [taylor]: Taking taylor expansion of 2.0 in n 1.575 * [taylor]: Taking taylor expansion of (* n PI) in n 1.575 * [taylor]: Taking taylor expansion of n in n 1.575 * [taylor]: Taking taylor expansion of PI in n 1.575 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.575 * [taylor]: Taking taylor expansion of NAN in n 1.575 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.576 * [taylor]: Taking taylor expansion of 0.5 in n 1.576 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.576 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.576 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.576 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.576 * [taylor]: Taking taylor expansion of 1.0 in n 1.576 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.576 * [taylor]: Taking taylor expansion of 2.0 in n 1.576 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.576 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.576 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.576 * [taylor]: Taking taylor expansion of 1.0 in n 1.576 * [taylor]: Taking taylor expansion of (log n) in n 1.576 * [taylor]: Taking taylor expansion of n in n 1.576 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.576 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.576 * [taylor]: Taking taylor expansion of 1.0 in n 1.576 * [taylor]: Taking taylor expansion of (log PI) in n 1.576 * [taylor]: Taking taylor expansion of PI in n 1.592 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 1.592 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.593 * [taylor]: Taking taylor expansion of 1.0 in n 1.593 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.593 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.593 * [taylor]: Taking taylor expansion of k in n 1.593 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.593 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.593 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.593 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.593 * [taylor]: Taking taylor expansion of 0.5 in n 1.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.593 * [taylor]: Taking taylor expansion of 1.0 in n 1.593 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.593 * [taylor]: Taking taylor expansion of k in n 1.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.593 * [taylor]: Taking taylor expansion of 2.0 in n 1.593 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.593 * [taylor]: Taking taylor expansion of PI in n 1.593 * [taylor]: Taking taylor expansion of n in n 1.593 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.593 * [taylor]: Taking taylor expansion of 1.0 in k 1.593 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.593 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.593 * [taylor]: Taking taylor expansion of k in k 1.593 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.593 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.593 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.593 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.593 * [taylor]: Taking taylor expansion of 0.5 in k 1.593 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.593 * [taylor]: Taking taylor expansion of 1.0 in k 1.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.594 * [taylor]: Taking taylor expansion of k in k 1.594 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.594 * [taylor]: Taking taylor expansion of 2.0 in k 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.594 * [taylor]: Taking taylor expansion of PI in k 1.594 * [taylor]: Taking taylor expansion of n in k 1.594 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.594 * [taylor]: Taking taylor expansion of 1.0 in k 1.594 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.594 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.594 * [taylor]: Taking taylor expansion of k in k 1.594 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.594 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.594 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.594 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.594 * [taylor]: Taking taylor expansion of 0.5 in k 1.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.594 * [taylor]: Taking taylor expansion of 1.0 in k 1.594 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.594 * [taylor]: Taking taylor expansion of k in k 1.594 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.594 * [taylor]: Taking taylor expansion of 2.0 in k 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.594 * [taylor]: Taking taylor expansion of PI in k 1.594 * [taylor]: Taking taylor expansion of n in k 1.595 * [taylor]: Taking taylor expansion of 0 in n 1.595 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.595 * [taylor]: Taking taylor expansion of 1.0 in n 1.595 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.595 * [taylor]: Taking taylor expansion of NAN in n 1.595 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.595 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.595 * [taylor]: Taking taylor expansion of 0.5 in n 1.595 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.595 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.595 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.595 * [taylor]: Taking taylor expansion of 2.0 in n 1.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.595 * [taylor]: Taking taylor expansion of PI in n 1.595 * [taylor]: Taking taylor expansion of n in n 1.595 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.595 * [taylor]: Taking taylor expansion of 1.0 in n 1.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.595 * [taylor]: Taking taylor expansion of k in n 1.596 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.596 * [taylor]: Taking taylor expansion of 1.0 in n 1.596 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.597 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.597 * [taylor]: Taking taylor expansion of NAN in n 1.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.597 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.597 * [taylor]: Taking taylor expansion of 0.5 in n 1.597 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.597 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.597 * [taylor]: Taking taylor expansion of 2.0 in n 1.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.597 * [taylor]: Taking taylor expansion of PI in n 1.597 * [taylor]: Taking taylor expansion of n in n 1.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.597 * [taylor]: Taking taylor expansion of 1.0 in n 1.597 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.597 * [taylor]: Taking taylor expansion of k in n 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.599 * [taylor]: Taking taylor expansion of 1.0 in n 1.599 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.599 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.599 * [taylor]: Taking taylor expansion of NAN in n 1.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.599 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.599 * [taylor]: Taking taylor expansion of 0.5 in n 1.599 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.599 * [taylor]: Taking taylor expansion of 2.0 in n 1.599 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.599 * [taylor]: Taking taylor expansion of PI in n 1.599 * [taylor]: Taking taylor expansion of n in n 1.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.600 * [taylor]: Taking taylor expansion of 1.0 in n 1.600 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.600 * [taylor]: Taking taylor expansion of k in n 1.601 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 1.601 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.601 * [taylor]: Taking taylor expansion of 1.0 in n 1.601 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.601 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.601 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.602 * [taylor]: Taking taylor expansion of 0.5 in n 1.602 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.602 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.602 * [taylor]: Taking taylor expansion of k in n 1.602 * [taylor]: Taking taylor expansion of 1.0 in n 1.602 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.602 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.602 * [taylor]: Taking taylor expansion of -2.0 in n 1.602 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.602 * [taylor]: Taking taylor expansion of PI in n 1.602 * [taylor]: Taking taylor expansion of n in n 1.602 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.602 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.602 * [taylor]: Taking taylor expansion of -1 in n 1.602 * [taylor]: Taking taylor expansion of k in n 1.602 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.602 * [taylor]: Taking taylor expansion of 1.0 in k 1.602 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.602 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.602 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.602 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.603 * [taylor]: Taking taylor expansion of 0.5 in k 1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.603 * [taylor]: Taking taylor expansion of k in k 1.603 * [taylor]: Taking taylor expansion of 1.0 in k 1.603 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.603 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.603 * [taylor]: Taking taylor expansion of -2.0 in k 1.603 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.603 * [taylor]: Taking taylor expansion of PI in k 1.603 * [taylor]: Taking taylor expansion of n in k 1.603 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.603 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.603 * [taylor]: Taking taylor expansion of -1 in k 1.603 * [taylor]: Taking taylor expansion of k in k 1.603 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.603 * [taylor]: Taking taylor expansion of 1.0 in k 1.603 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.603 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.603 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.603 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.603 * [taylor]: Taking taylor expansion of 0.5 in k 1.603 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.603 * [taylor]: Taking taylor expansion of k in k 1.603 * [taylor]: Taking taylor expansion of 1.0 in k 1.603 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.603 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.603 * [taylor]: Taking taylor expansion of -2.0 in k 1.603 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.604 * [taylor]: Taking taylor expansion of PI in k 1.604 * [taylor]: Taking taylor expansion of n in k 1.604 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.604 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.604 * [taylor]: Taking taylor expansion of -1 in k 1.604 * [taylor]: Taking taylor expansion of k in k 1.604 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.604 * [taylor]: Taking taylor expansion of 1.0 in n 1.604 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.604 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.604 * [taylor]: Taking taylor expansion of 0.5 in n 1.604 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.604 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.604 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.604 * [taylor]: Taking taylor expansion of k in n 1.604 * [taylor]: Taking taylor expansion of 1.0 in n 1.604 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.604 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.604 * [taylor]: Taking taylor expansion of -2.0 in n 1.604 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.604 * [taylor]: Taking taylor expansion of PI in n 1.604 * [taylor]: Taking taylor expansion of n in n 1.605 * [taylor]: Taking taylor expansion of NAN in n 1.606 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 1.606 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.606 * [taylor]: Taking taylor expansion of 1.0 in n 1.606 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.606 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.606 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.606 * [taylor]: Taking taylor expansion of 0.5 in n 1.606 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.606 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.606 * [taylor]: Taking taylor expansion of k in n 1.606 * [taylor]: Taking taylor expansion of 1.0 in n 1.606 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.606 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.606 * [taylor]: Taking taylor expansion of -2.0 in n 1.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.606 * [taylor]: Taking taylor expansion of PI in n 1.606 * [taylor]: Taking taylor expansion of n in n 1.607 * [taylor]: Taking taylor expansion of NAN in n 1.609 * [taylor]: Taking taylor expansion of 0 in n 1.611 * [taylor]: Taking taylor expansion of 0 in n 1.612 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.612 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.612 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.612 * [taylor]: Taking taylor expansion of 2.0 in n 1.612 * [taylor]: Taking taylor expansion of (* n PI) in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.612 * [taylor]: Taking taylor expansion of PI in n 1.612 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.612 * [taylor]: Taking taylor expansion of 2.0 in n 1.612 * [taylor]: Taking taylor expansion of (* n PI) in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.612 * [taylor]: Taking taylor expansion of PI in n 1.613 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.613 * [taylor]: Taking taylor expansion of 2.0 in n 1.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.613 * [taylor]: Taking taylor expansion of PI in n 1.613 * [taylor]: Taking taylor expansion of n in n 1.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.613 * [taylor]: Taking taylor expansion of 2.0 in n 1.613 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.613 * [taylor]: Taking taylor expansion of PI in n 1.613 * [taylor]: Taking taylor expansion of n in n 1.614 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.614 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.614 * [taylor]: Taking taylor expansion of -2.0 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 (* -2.0 (/ PI n)) in n 1.614 * [taylor]: Taking taylor expansion of -2.0 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 1.615 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.615 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.615 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.615 * [taylor]: Taking taylor expansion of 1.0 in k 1.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.615 * [taylor]: Taking taylor expansion of k in k 1.615 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.615 * [taylor]: Taking taylor expansion of 1.0 in k 1.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.615 * [taylor]: Taking taylor expansion of k in k 1.616 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.616 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.616 * [taylor]: Taking taylor expansion of 1.0 in k 1.616 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.616 * [taylor]: Taking taylor expansion of k in k 1.616 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.616 * [taylor]: Taking taylor expansion of 1.0 in k 1.616 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.616 * [taylor]: Taking taylor expansion of k in k 1.617 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.618 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.618 * [taylor]: Taking taylor expansion of 1.0 in k 1.618 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.618 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.618 * [taylor]: Taking taylor expansion of -1 in k 1.618 * [taylor]: Taking taylor expansion of k in k 1.618 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.618 * [taylor]: Taking taylor expansion of 1.0 in k 1.618 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.618 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.618 * [taylor]: Taking taylor expansion of -1 in k 1.618 * [taylor]: Taking taylor expansion of k in k 1.622 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.622 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.623 * [taylor]: Taking taylor expansion of 0.5 in k 1.623 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.623 * [taylor]: Taking taylor expansion of 1.0 in k 1.623 * [taylor]: Taking taylor expansion of k in k 1.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.623 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.623 * [taylor]: Taking taylor expansion of 2.0 in k 1.623 * [taylor]: Taking taylor expansion of (* n PI) in k 1.623 * [taylor]: Taking taylor expansion of n in k 1.623 * [taylor]: Taking taylor expansion of PI in k 1.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.623 * [taylor]: Taking taylor expansion of 0.5 in n 1.623 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [taylor]: Taking taylor expansion of k in n 1.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.623 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.623 * [taylor]: Taking taylor expansion of 2.0 in n 1.623 * [taylor]: Taking taylor expansion of (* n PI) in n 1.623 * [taylor]: Taking taylor expansion of n in n 1.623 * [taylor]: Taking taylor expansion of PI in n 1.624 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.624 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.624 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.624 * [taylor]: Taking taylor expansion of 0.5 in n 1.624 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.624 * [taylor]: Taking taylor expansion of 1.0 in n 1.624 * [taylor]: Taking taylor expansion of k in n 1.624 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.624 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.624 * [taylor]: Taking taylor expansion of 2.0 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 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.624 * [taylor]: Taking taylor expansion of 0.5 in k 1.624 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.624 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.624 * [taylor]: Taking taylor expansion of 1.0 in k 1.624 * [taylor]: Taking taylor expansion of k in k 1.624 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.624 * [taylor]: Taking taylor expansion of 2.0 in k 1.624 * [taylor]: Taking taylor expansion of PI in k 1.624 * [taylor]: Taking taylor expansion of (log n) in k 1.624 * [taylor]: Taking taylor expansion of n in k 1.625 * [taylor]: Taking taylor expansion of 0 in k 1.627 * [taylor]: Taking taylor expansion of 0 in k 1.629 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.629 * [taylor]: Taking taylor expansion of 0.5 in k 1.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.629 * [taylor]: Taking taylor expansion of 1.0 in k 1.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.629 * [taylor]: Taking taylor expansion of k in k 1.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.629 * [taylor]: Taking taylor expansion of 2.0 in k 1.629 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.629 * [taylor]: Taking taylor expansion of PI in k 1.629 * [taylor]: Taking taylor expansion of n in k 1.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.629 * [taylor]: Taking taylor expansion of 0.5 in n 1.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.629 * [taylor]: Taking taylor expansion of 1.0 in n 1.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.629 * [taylor]: Taking taylor expansion of k in n 1.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.630 * [taylor]: Taking taylor expansion of 2.0 in n 1.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.630 * [taylor]: Taking taylor expansion of PI in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.630 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.630 * [taylor]: Taking taylor expansion of 0.5 in n 1.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.630 * [taylor]: Taking taylor expansion of 1.0 in n 1.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.630 * [taylor]: Taking taylor expansion of k in n 1.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.630 * [taylor]: Taking taylor expansion of 2.0 in n 1.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.630 * [taylor]: Taking taylor expansion of PI in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.631 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.631 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.631 * [taylor]: Taking taylor expansion of 0.5 in k 1.631 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.631 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.631 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.631 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.631 * [taylor]: Taking taylor expansion of 2.0 in k 1.631 * [taylor]: Taking taylor expansion of PI in k 1.631 * [taylor]: Taking taylor expansion of (log n) in k 1.631 * [taylor]: Taking taylor expansion of n in k 1.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.631 * [taylor]: Taking taylor expansion of 1.0 in k 1.631 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.631 * [taylor]: Taking taylor expansion of k in k 1.632 * [taylor]: Taking taylor expansion of 0 in k 1.632 * [taylor]: Taking taylor expansion of 0 in k 1.633 * [taylor]: Taking taylor expansion of 0 in k 1.634 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.634 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.634 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.634 * [taylor]: Taking taylor expansion of 0.5 in k 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.634 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.634 * [taylor]: Taking taylor expansion of k in k 1.634 * [taylor]: Taking taylor expansion of 1.0 in k 1.634 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.634 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.634 * [taylor]: Taking taylor expansion of -2.0 in k 1.634 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.634 * [taylor]: Taking taylor expansion of PI in k 1.634 * [taylor]: Taking taylor expansion of n in k 1.634 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.634 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.634 * [taylor]: Taking taylor expansion of 0.5 in n 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.634 * [taylor]: Taking taylor expansion of k in n 1.634 * [taylor]: Taking taylor expansion of 1.0 in n 1.634 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.634 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.635 * [taylor]: Taking taylor expansion of -2.0 in n 1.635 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.635 * [taylor]: Taking taylor expansion of PI in n 1.635 * [taylor]: Taking taylor expansion of n in n 1.635 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.635 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.635 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.635 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.635 * [taylor]: Taking taylor expansion of 0.5 in n 1.635 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.635 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.635 * [taylor]: Taking taylor expansion of k in n 1.635 * [taylor]: Taking taylor expansion of 1.0 in n 1.635 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.635 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.635 * [taylor]: Taking taylor expansion of -2.0 in n 1.635 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.635 * [taylor]: Taking taylor expansion of PI in n 1.635 * [taylor]: Taking taylor expansion of n in n 1.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.635 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.636 * [taylor]: Taking taylor expansion of 0.5 in k 1.636 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.636 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.636 * [taylor]: Taking taylor expansion of k in k 1.636 * [taylor]: Taking taylor expansion of 1.0 in k 1.636 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.636 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.636 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.636 * [taylor]: Taking taylor expansion of -2.0 in k 1.636 * [taylor]: Taking taylor expansion of PI in k 1.636 * [taylor]: Taking taylor expansion of (log n) in k 1.636 * [taylor]: Taking taylor expansion of n in k 1.637 * [taylor]: Taking taylor expansion of 0 in k 1.637 * [taylor]: Taking taylor expansion of 0 in k 1.638 * [taylor]: Taking taylor expansion of 0 in k 1.639 * * * [progress]: simplifying candidates 1.641 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k)) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2))) (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (+ (* 1.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (* 1.0 (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.688 * * [simplify]: iteration 0 : 4983 enodes (cost 2442 ) 1.689 * * [simplify]: iteration 1 : 4983 enodes (cost 2442 ) 1.697 * [simplify]: Simplified to: (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (log (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (pow (exp (/ 1.0 (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) 3) (pow (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) 3) (* (cbrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (cbrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (cbrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (pow (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) 3) (sqrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* 1.0 (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (cbrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (cbrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (cbrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (cbrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (cbrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (log (* 2.0 (* PI n))) (log (* 2.0 (* PI n))) (log (* 2.0 (* PI n))) (pow (pow (exp 2.0) PI) n) (pow (* 2.0 (* PI n)) 3) (pow (* 2.0 (* PI n)) 3) (* (cbrt (* 2.0 (* PI n))) (cbrt (* 2.0 (* PI n)))) (cbrt (* 2.0 (* PI n))) (pow (* 2.0 (* PI n)) 3) (sqrt (* 2.0 (* PI n))) (sqrt (* 2.0 (* PI n))) (* 2.0 (* PI (* (cbrt n) (cbrt n)))) (* 2.0 (* PI (sqrt n))) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (* (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (cbrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt (- 1.0 k))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (/ (+ (sqrt k) (sqrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (+ (sqrt k) (sqrt 1.0))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (+ (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* (pow (log (* 2.0 PI)) 2) NAN)))) (* 1.0 (* k (pow NAN 3))))) (- (+ (+ (* 1.0 (* NAN (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* (* k k) (* (* (log (* 2.0 PI)) (log n)) NAN)) 0.25))) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 1.0 (* k (* k (pow NAN 5)))) (* 0.125 (* k (* k (* NAN (pow (log n) 2)))))))) (+ (* 0.5 (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* k (* (log n) (pow NAN 3)))) (* k (* (log n) NAN))))) (* (pow (* (pow (pow n 1.0) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* k (* k (* (log (* 2.0 PI)) (pow NAN 3)))))))))) (* 1.0 (+ (* (/ (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) k) NAN) (+ (* (/ (pow NAN 3) k) (/ (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) k)) (* (/ (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) (pow k 3)) (pow NAN 5))))) (* 1.0 (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN) (* (/ NAN k) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n)))))))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (* 1.0 (+ (* k (* k (pow NAN 5))) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (* k k)) (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (/ 1.0 NAN)) (+ (* (* 0.125 (* k k)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* 2.0 (* PI n)) 0.5)) (* (pow (log n) 2) (pow (* 2.0 (* PI n)) 0.5)))) (- (+ (pow (* 2.0 (* PI n)) 0.5) (* (* k k) (* (* (log (* 2.0 PI)) (* (log n) (pow (* 2.0 (* PI n)) 0.5))) 0.25))) (* 0.5 (* k (+ (* (log (* 2.0 PI)) (pow (* 2.0 (* PI n)) 0.5)) (* (log n) (pow (* 2.0 (* PI n)) 0.5))))))) (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) 1.698 * * * [progress]: adding candidates to table 1.943 * * [progress]: iteration 4 / 4 1.943 * * * [progress]: picking best candidate 1.972 * * * * [pick]: Picked # 1.973 * * * [progress]: localizing error 1.988 * * * [progress]: generating rewritten candidates 1.988 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.003 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 2.006 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2) 2.016 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.044 * * * [progress]: generating series expansions 2.044 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.045 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in (k n) around 0 2.045 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in n 2.045 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.045 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.045 * [taylor]: Taking taylor expansion of k in n 2.045 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in n 2.045 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.045 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.045 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.045 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.045 * [taylor]: Taking taylor expansion of 0.5 in n 2.045 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.045 * [taylor]: Taking taylor expansion of 1.0 in n 2.045 * [taylor]: Taking taylor expansion of k in n 2.045 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.045 * [taylor]: Taking taylor expansion of (* n PI) in n 2.045 * [taylor]: Taking taylor expansion of n in n 2.045 * [taylor]: Taking taylor expansion of PI in n 2.045 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 2.045 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 2.045 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 2.045 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.045 * [taylor]: Taking taylor expansion of 0.5 in n 2.046 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.046 * [taylor]: Taking taylor expansion of 1.0 in n 2.046 * [taylor]: Taking taylor expansion of k in n 2.046 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.046 * [taylor]: Taking taylor expansion of 2.0 in n 2.046 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.046 * [taylor]: Taking taylor expansion of k in k 2.046 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.046 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.046 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.046 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.046 * [taylor]: Taking taylor expansion of 0.5 in k 2.046 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.046 * [taylor]: Taking taylor expansion of 1.0 in k 2.046 * [taylor]: Taking taylor expansion of k in k 2.046 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.046 * [taylor]: Taking taylor expansion of (* n PI) in k 2.046 * [taylor]: Taking taylor expansion of n in k 2.046 * [taylor]: Taking taylor expansion of PI in k 2.046 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.046 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.046 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.046 * [taylor]: Taking taylor expansion of 0.5 in k 2.046 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.046 * [taylor]: Taking taylor expansion of 1.0 in k 2.046 * [taylor]: Taking taylor expansion of k in k 2.046 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.046 * [taylor]: Taking taylor expansion of 2.0 in k 2.046 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 2.046 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.046 * [taylor]: Taking taylor expansion of k in k 2.047 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 2.047 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.047 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.047 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.047 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.047 * [taylor]: Taking taylor expansion of 0.5 in k 2.047 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.047 * [taylor]: Taking taylor expansion of 1.0 in k 2.047 * [taylor]: Taking taylor expansion of k in k 2.047 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.047 * [taylor]: Taking taylor expansion of (* n PI) in k 2.047 * [taylor]: Taking taylor expansion of n in k 2.047 * [taylor]: Taking taylor expansion of PI in k 2.047 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 2.047 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 2.047 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 2.047 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.047 * [taylor]: Taking taylor expansion of 0.5 in k 2.047 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.047 * [taylor]: Taking taylor expansion of 1.0 in k 2.047 * [taylor]: Taking taylor expansion of k in k 2.047 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.047 * [taylor]: Taking taylor expansion of 2.0 in k 2.047 * [taylor]: Taking taylor expansion of 0 in n 2.049 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.049 * [taylor]: Taking taylor expansion of NAN in n 2.049 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.049 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.049 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.049 * [taylor]: Taking taylor expansion of 0.5 in n 2.049 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.049 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.049 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.049 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.049 * [taylor]: Taking taylor expansion of 1.0 in n 2.049 * [taylor]: Taking taylor expansion of (log PI) in n 2.049 * [taylor]: Taking taylor expansion of PI in n 2.049 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.050 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.050 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.050 * [taylor]: Taking taylor expansion of 1.0 in n 2.050 * [taylor]: Taking taylor expansion of (log n) in n 2.050 * [taylor]: Taking taylor expansion of n in n 2.050 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.050 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.050 * [taylor]: Taking taylor expansion of 1.0 in n 2.050 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.050 * [taylor]: Taking taylor expansion of 2.0 in n 2.055 * [taylor]: Taking taylor expansion of (- (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) (+ (* 0.5 (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.055 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 2.055 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.055 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.055 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.055 * [taylor]: Taking taylor expansion of 0.5 in n 2.055 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.055 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.055 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.055 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.055 * [taylor]: Taking taylor expansion of 1.0 in n 2.055 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.055 * [taylor]: Taking taylor expansion of 2.0 in n 2.055 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.055 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.055 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.055 * [taylor]: Taking taylor expansion of 1.0 in n 2.055 * [taylor]: Taking taylor expansion of (log n) in n 2.055 * [taylor]: Taking taylor expansion of n in n 2.055 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.056 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.056 * [taylor]: Taking taylor expansion of 1.0 in n 2.056 * [taylor]: Taking taylor expansion of (log PI) in n 2.056 * [taylor]: Taking taylor expansion of PI in n 2.056 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.056 * [taylor]: Taking taylor expansion of NAN in n 2.056 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.056 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.056 * [taylor]: Taking taylor expansion of 0.5 in n 2.056 * [taylor]: Taking taylor expansion of (* (* (log 2.0) NAN) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.057 * [taylor]: Taking taylor expansion of (* (log 2.0) NAN) in n 2.057 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.057 * [taylor]: Taking taylor expansion of 2.0 in n 2.057 * [taylor]: Taking taylor expansion of NAN in n 2.057 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.057 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.057 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.057 * [taylor]: Taking taylor expansion of 0.5 in n 2.057 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.057 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.057 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.057 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.057 * [taylor]: Taking taylor expansion of 1.0 in n 2.057 * [taylor]: Taking taylor expansion of (log PI) in n 2.057 * [taylor]: Taking taylor expansion of PI in n 2.057 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.057 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.057 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.057 * [taylor]: Taking taylor expansion of 1.0 in n 2.057 * [taylor]: Taking taylor expansion of (log n) in n 2.057 * [taylor]: Taking taylor expansion of n in n 2.057 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.057 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.057 * [taylor]: Taking taylor expansion of 1.0 in n 2.057 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.057 * [taylor]: Taking taylor expansion of 2.0 in n 2.058 * [taylor]: Taking taylor expansion of (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.058 * [taylor]: Taking taylor expansion of 0.5 in n 2.058 * [taylor]: Taking taylor expansion of (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.058 * [taylor]: Taking taylor expansion of (* NAN (log (* n PI))) in n 2.058 * [taylor]: Taking taylor expansion of NAN in n 2.058 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.058 * [taylor]: Taking taylor expansion of (* n PI) in n 2.058 * [taylor]: Taking taylor expansion of n in n 2.058 * [taylor]: Taking taylor expansion of PI in n 2.058 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.058 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.058 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.058 * [taylor]: Taking taylor expansion of 0.5 in n 2.058 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.058 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.058 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.058 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.058 * [taylor]: Taking taylor expansion of 1.0 in n 2.058 * [taylor]: Taking taylor expansion of (log PI) in n 2.058 * [taylor]: Taking taylor expansion of PI in n 2.058 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.058 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.059 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.059 * [taylor]: Taking taylor expansion of 1.0 in n 2.059 * [taylor]: Taking taylor expansion of (log n) in n 2.059 * [taylor]: Taking taylor expansion of n in n 2.059 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.059 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.059 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.059 * [taylor]: Taking taylor expansion of 1.0 in n 2.059 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.059 * [taylor]: Taking taylor expansion of 2.0 in n 2.073 * [taylor]: Taking taylor expansion of (- (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.073 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 2.073 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.073 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.073 * [taylor]: Taking taylor expansion of NAN in n 2.073 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.073 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.073 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.073 * [taylor]: Taking taylor expansion of 0.5 in n 2.073 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.074 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.074 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.074 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.074 * [taylor]: Taking taylor expansion of 1.0 in n 2.074 * [taylor]: Taking taylor expansion of (log PI) in n 2.074 * [taylor]: Taking taylor expansion of PI in n 2.074 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.074 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.074 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.074 * [taylor]: Taking taylor expansion of 1.0 in n 2.074 * [taylor]: Taking taylor expansion of (log n) in n 2.074 * [taylor]: Taking taylor expansion of n in n 2.074 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.074 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.074 * [taylor]: Taking taylor expansion of 1.0 in n 2.074 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.074 * [taylor]: Taking taylor expansion of 2.0 in n 2.075 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.075 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) in n 2.075 * [taylor]: Taking taylor expansion of 0.125 in n 2.075 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2))) in n 2.075 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.075 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.075 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.075 * [taylor]: Taking taylor expansion of 0.5 in n 2.075 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.075 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.075 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.075 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.075 * [taylor]: Taking taylor expansion of 1.0 in n 2.075 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.075 * [taylor]: Taking taylor expansion of 2.0 in n 2.075 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.075 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.075 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.075 * [taylor]: Taking taylor expansion of 1.0 in n 2.075 * [taylor]: Taking taylor expansion of (log n) in n 2.075 * [taylor]: Taking taylor expansion of n in n 2.075 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.076 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.076 * [taylor]: Taking taylor expansion of 1.0 in n 2.076 * [taylor]: Taking taylor expansion of (log PI) in n 2.076 * [taylor]: Taking taylor expansion of PI in n 2.076 * [taylor]: Taking taylor expansion of (* NAN (pow (log (* n PI)) 2)) in n 2.076 * [taylor]: Taking taylor expansion of NAN in n 2.076 * [taylor]: Taking taylor expansion of (pow (log (* n PI)) 2) in n 2.076 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.076 * [taylor]: Taking taylor expansion of (* n PI) in n 2.076 * [taylor]: Taking taylor expansion of n in n 2.076 * [taylor]: Taking taylor expansion of PI in n 2.077 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.077 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.077 * [taylor]: Taking taylor expansion of 0.25 in n 2.077 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (* NAN (log (* n PI)))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.077 * [taylor]: Taking taylor expansion of (* (log 2.0) (* NAN (log (* n PI)))) in n 2.077 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.077 * [taylor]: Taking taylor expansion of 2.0 in n 2.077 * [taylor]: Taking taylor expansion of (* NAN (log (* n PI))) in n 2.077 * [taylor]: Taking taylor expansion of NAN in n 2.077 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.077 * [taylor]: Taking taylor expansion of (* n PI) in n 2.077 * [taylor]: Taking taylor expansion of n in n 2.077 * [taylor]: Taking taylor expansion of PI in n 2.077 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.077 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.077 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.077 * [taylor]: Taking taylor expansion of 0.5 in n 2.077 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.077 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.077 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.077 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.077 * [taylor]: Taking taylor expansion of 1.0 in n 2.077 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.077 * [taylor]: Taking taylor expansion of 2.0 in n 2.077 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.077 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.077 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.077 * [taylor]: Taking taylor expansion of 1.0 in n 2.077 * [taylor]: Taking taylor expansion of (log n) in n 2.077 * [taylor]: Taking taylor expansion of n in n 2.077 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.077 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.077 * [taylor]: Taking taylor expansion of 1.0 in n 2.077 * [taylor]: Taking taylor expansion of (log PI) in n 2.077 * [taylor]: Taking taylor expansion of PI in n 2.078 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.078 * [taylor]: Taking taylor expansion of 0.125 in n 2.078 * [taylor]: Taking taylor expansion of (* (* (pow (log 2.0) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.078 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) NAN) in n 2.078 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 2.078 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.078 * [taylor]: Taking taylor expansion of 2.0 in n 2.078 * [taylor]: Taking taylor expansion of NAN in n 2.078 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.078 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.078 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.078 * [taylor]: Taking taylor expansion of 0.5 in n 2.078 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.079 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.079 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.079 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.079 * [taylor]: Taking taylor expansion of 1.0 in n 2.079 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.079 * [taylor]: Taking taylor expansion of 2.0 in n 2.079 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.079 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.079 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.079 * [taylor]: Taking taylor expansion of 1.0 in n 2.079 * [taylor]: Taking taylor expansion of (log n) in n 2.079 * [taylor]: Taking taylor expansion of n in n 2.079 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.079 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.079 * [taylor]: Taking taylor expansion of 1.0 in n 2.079 * [taylor]: Taking taylor expansion of (log PI) in n 2.079 * [taylor]: Taking taylor expansion of PI in n 2.080 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.080 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.080 * [taylor]: Taking taylor expansion of 0.5 in n 2.080 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.080 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log (* n PI))) in n 2.080 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.080 * [taylor]: Taking taylor expansion of NAN in n 2.080 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.080 * [taylor]: Taking taylor expansion of (* n PI) in n 2.080 * [taylor]: Taking taylor expansion of n in n 2.080 * [taylor]: Taking taylor expansion of PI in n 2.080 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.080 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.080 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.080 * [taylor]: Taking taylor expansion of 0.5 in n 2.080 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.080 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.080 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.080 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.080 * [taylor]: Taking taylor expansion of 1.0 in n 2.080 * [taylor]: Taking taylor expansion of (log PI) in n 2.080 * [taylor]: Taking taylor expansion of PI in n 2.080 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.080 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.080 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.080 * [taylor]: Taking taylor expansion of 1.0 in n 2.080 * [taylor]: Taking taylor expansion of (log n) in n 2.080 * [taylor]: Taking taylor expansion of n in n 2.081 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.081 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.081 * [taylor]: Taking taylor expansion of 1.0 in n 2.081 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.081 * [taylor]: Taking taylor expansion of 2.0 in n 2.081 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.081 * [taylor]: Taking taylor expansion of 0.5 in n 2.082 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (pow NAN 3)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.082 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow NAN 3)) in n 2.082 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.082 * [taylor]: Taking taylor expansion of 2.0 in n 2.082 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.082 * [taylor]: Taking taylor expansion of NAN in n 2.082 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.082 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.082 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.082 * [taylor]: Taking taylor expansion of 0.5 in n 2.082 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.082 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.082 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.082 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.082 * [taylor]: Taking taylor expansion of 1.0 in n 2.082 * [taylor]: Taking taylor expansion of (log PI) in n 2.082 * [taylor]: Taking taylor expansion of PI in n 2.082 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.082 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.082 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.082 * [taylor]: Taking taylor expansion of 1.0 in n 2.082 * [taylor]: Taking taylor expansion of (log n) in n 2.082 * [taylor]: Taking taylor expansion of n in n 2.082 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.082 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.082 * [taylor]: Taking taylor expansion of 1.0 in n 2.082 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.082 * [taylor]: Taking taylor expansion of 2.0 in n 2.114 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.114 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.115 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.115 * [taylor]: Taking taylor expansion of k in n 2.115 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.115 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 2.115 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 2.115 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 2.115 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.115 * [taylor]: Taking taylor expansion of 0.5 in n 2.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.115 * [taylor]: Taking taylor expansion of 1.0 in n 2.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.115 * [taylor]: Taking taylor expansion of k in n 2.115 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.115 * [taylor]: Taking taylor expansion of 2.0 in n 2.115 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.115 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.115 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.115 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.115 * [taylor]: Taking taylor expansion of 0.5 in n 2.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.115 * [taylor]: Taking taylor expansion of 1.0 in n 2.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.115 * [taylor]: Taking taylor expansion of k in n 2.115 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.115 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.115 * [taylor]: Taking taylor expansion of PI in n 2.115 * [taylor]: Taking taylor expansion of n in n 2.116 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.116 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.116 * [taylor]: Taking taylor expansion of k in k 2.116 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.116 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.116 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.116 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.116 * [taylor]: Taking taylor expansion of 0.5 in k 2.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.116 * [taylor]: Taking taylor expansion of 1.0 in k 2.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.116 * [taylor]: Taking taylor expansion of k in k 2.116 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.116 * [taylor]: Taking taylor expansion of 2.0 in k 2.116 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.116 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.116 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.116 * [taylor]: Taking taylor expansion of 0.5 in k 2.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.116 * [taylor]: Taking taylor expansion of 1.0 in k 2.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.116 * [taylor]: Taking taylor expansion of k in k 2.116 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.116 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.116 * [taylor]: Taking taylor expansion of PI in k 2.116 * [taylor]: Taking taylor expansion of n in k 2.116 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.116 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.116 * [taylor]: Taking taylor expansion of k in k 2.116 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.117 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 2.117 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 2.117 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 2.117 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.117 * [taylor]: Taking taylor expansion of 0.5 in k 2.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.117 * [taylor]: Taking taylor expansion of 1.0 in k 2.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.117 * [taylor]: Taking taylor expansion of k in k 2.117 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.117 * [taylor]: Taking taylor expansion of 2.0 in k 2.117 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.117 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.117 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.117 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.117 * [taylor]: Taking taylor expansion of 0.5 in k 2.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.117 * [taylor]: Taking taylor expansion of 1.0 in k 2.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.117 * [taylor]: Taking taylor expansion of k in k 2.117 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.117 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.117 * [taylor]: Taking taylor expansion of PI in k 2.117 * [taylor]: Taking taylor expansion of n in k 2.118 * [taylor]: Taking taylor expansion of 0 in n 2.118 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (* NAN (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.118 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.118 * [taylor]: Taking taylor expansion of 0.5 in n 2.118 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.118 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.118 * [taylor]: Taking taylor expansion of PI in n 2.118 * [taylor]: Taking taylor expansion of n in n 2.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.118 * [taylor]: Taking taylor expansion of 1.0 in n 2.118 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.118 * [taylor]: Taking taylor expansion of k in n 2.118 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.118 * [taylor]: Taking taylor expansion of NAN in n 2.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.118 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.118 * [taylor]: Taking taylor expansion of 0.5 in n 2.119 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.119 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.119 * [taylor]: Taking taylor expansion of 2.0 in n 2.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.119 * [taylor]: Taking taylor expansion of 1.0 in n 2.119 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.119 * [taylor]: Taking taylor expansion of k in n 2.120 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (* (pow NAN 3) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.120 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.120 * [taylor]: Taking taylor expansion of 0.5 in n 2.120 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.120 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.120 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.120 * [taylor]: Taking taylor expansion of PI in n 2.120 * [taylor]: Taking taylor expansion of n in n 2.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.120 * [taylor]: Taking taylor expansion of 1.0 in n 2.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.120 * [taylor]: Taking taylor expansion of k in n 2.120 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.120 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.120 * [taylor]: Taking taylor expansion of NAN in n 2.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.120 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.120 * [taylor]: Taking taylor expansion of 0.5 in n 2.120 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.120 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.120 * [taylor]: Taking taylor expansion of 2.0 in n 2.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.120 * [taylor]: Taking taylor expansion of 1.0 in n 2.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.120 * [taylor]: Taking taylor expansion of k in n 2.123 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (* (pow NAN 5) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 2.123 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.123 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.123 * [taylor]: Taking taylor expansion of 0.5 in n 2.123 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.123 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.123 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.123 * [taylor]: Taking taylor expansion of PI in n 2.123 * [taylor]: Taking taylor expansion of n in n 2.123 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.123 * [taylor]: Taking taylor expansion of 1.0 in n 2.123 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.123 * [taylor]: Taking taylor expansion of k in n 2.123 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 2.123 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.123 * [taylor]: Taking taylor expansion of NAN in n 2.124 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 2.124 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 2.124 * [taylor]: Taking taylor expansion of 0.5 in n 2.124 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 2.124 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.124 * [taylor]: Taking taylor expansion of 2.0 in n 2.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.124 * [taylor]: Taking taylor expansion of 1.0 in n 2.124 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.124 * [taylor]: Taking taylor expansion of k in n 2.126 * [approximate]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in (k n) around 0 2.126 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 2.126 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.126 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 2.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 2.126 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 2.126 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.126 * [taylor]: Taking taylor expansion of 0.5 in n 2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.126 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.126 * [taylor]: Taking taylor expansion of k in n 2.126 * [taylor]: Taking taylor expansion of 1.0 in n 2.126 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.126 * [taylor]: Taking taylor expansion of 2.0 in n 2.126 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.126 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.126 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.126 * [taylor]: Taking taylor expansion of 0.5 in n 2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.126 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.126 * [taylor]: Taking taylor expansion of k in n 2.126 * [taylor]: Taking taylor expansion of 1.0 in n 2.126 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.126 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.126 * [taylor]: Taking taylor expansion of -1 in n 2.126 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.126 * [taylor]: Taking taylor expansion of PI in n 2.126 * [taylor]: Taking taylor expansion of n in n 2.127 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.127 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.127 * [taylor]: Taking taylor expansion of -1 in n 2.127 * [taylor]: Taking taylor expansion of k in n 2.127 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.127 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.127 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.127 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.127 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.127 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.127 * [taylor]: Taking taylor expansion of 0.5 in k 2.127 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.127 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.127 * [taylor]: Taking taylor expansion of k in k 2.127 * [taylor]: Taking taylor expansion of 1.0 in k 2.127 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.127 * [taylor]: Taking taylor expansion of 2.0 in k 2.127 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.128 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.128 * [taylor]: Taking taylor expansion of 0.5 in k 2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.128 * [taylor]: Taking taylor expansion of k in k 2.128 * [taylor]: Taking taylor expansion of 1.0 in k 2.128 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.128 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.128 * [taylor]: Taking taylor expansion of -1 in k 2.128 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.128 * [taylor]: Taking taylor expansion of PI in k 2.128 * [taylor]: Taking taylor expansion of n in k 2.128 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.128 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.128 * [taylor]: Taking taylor expansion of -1 in k 2.128 * [taylor]: Taking taylor expansion of k in k 2.128 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.128 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.128 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 2.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 2.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 2.128 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.128 * [taylor]: Taking taylor expansion of 0.5 in k 2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.129 * [taylor]: Taking taylor expansion of k in k 2.129 * [taylor]: Taking taylor expansion of 1.0 in k 2.129 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.129 * [taylor]: Taking taylor expansion of 2.0 in k 2.129 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.129 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.129 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.129 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.129 * [taylor]: Taking taylor expansion of 0.5 in k 2.129 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.129 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.129 * [taylor]: Taking taylor expansion of k in k 2.129 * [taylor]: Taking taylor expansion of 1.0 in k 2.129 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.129 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.129 * [taylor]: Taking taylor expansion of -1 in k 2.129 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.129 * [taylor]: Taking taylor expansion of PI in k 2.129 * [taylor]: Taking taylor expansion of n in k 2.129 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.129 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.129 * [taylor]: Taking taylor expansion of -1 in k 2.129 * [taylor]: Taking taylor expansion of k in k 2.130 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) NAN) in n 2.130 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 2.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.130 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.130 * [taylor]: Taking taylor expansion of 0.5 in n 2.130 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.130 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.130 * [taylor]: Taking taylor expansion of k in n 2.130 * [taylor]: Taking taylor expansion of 1.0 in n 2.130 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.130 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.130 * [taylor]: Taking taylor expansion of -1 in n 2.130 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.130 * [taylor]: Taking taylor expansion of PI in n 2.130 * [taylor]: Taking taylor expansion of n in n 2.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 2.130 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 2.130 * [taylor]: Taking taylor expansion of 0.5 in n 2.130 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 2.130 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.130 * [taylor]: Taking taylor expansion of 2.0 in n 2.130 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.130 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.130 * [taylor]: Taking taylor expansion of k in n 2.130 * [taylor]: Taking taylor expansion of 1.0 in n 2.131 * [taylor]: Taking taylor expansion of NAN in n 2.132 * [taylor]: Taking taylor expansion of (neg (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (* NAN (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) in n 2.132 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (* NAN (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 2.132 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.132 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.132 * [taylor]: Taking taylor expansion of 0.5 in n 2.132 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.132 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.132 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.132 * [taylor]: Taking taylor expansion of k in n 2.132 * [taylor]: Taking taylor expansion of 1.0 in n 2.132 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.132 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.132 * [taylor]: Taking taylor expansion of -1 in n 2.132 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.132 * [taylor]: Taking taylor expansion of PI in n 2.132 * [taylor]: Taking taylor expansion of n in n 2.132 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 2.132 * [taylor]: Taking taylor expansion of NAN in n 2.132 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 2.132 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 2.132 * [taylor]: Taking taylor expansion of 0.5 in n 2.132 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 2.132 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.132 * [taylor]: Taking taylor expansion of 2.0 in n 2.132 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.132 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.132 * [taylor]: Taking taylor expansion of k in n 2.132 * [taylor]: Taking taylor expansion of 1.0 in n 2.135 * [taylor]: Taking taylor expansion of 0 in n 2.139 * [taylor]: Taking taylor expansion of 0 in n 2.139 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 2.140 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 2.140 * [taylor]: Taking taylor expansion of (* n PI) in n 2.140 * [taylor]: Taking taylor expansion of n in n 2.140 * [taylor]: Taking taylor expansion of PI in n 2.140 * [taylor]: Taking taylor expansion of (* n PI) in n 2.140 * [taylor]: Taking taylor expansion of n in n 2.140 * [taylor]: Taking taylor expansion of PI in n 2.140 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 2.140 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.140 * [taylor]: Taking taylor expansion of PI in n 2.140 * [taylor]: Taking taylor expansion of n in n 2.140 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.140 * [taylor]: Taking taylor expansion of PI in n 2.140 * [taylor]: Taking taylor expansion of n in n 2.141 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 2.141 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.141 * [taylor]: Taking taylor expansion of -1 in n 2.141 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.141 * [taylor]: Taking taylor expansion of PI in n 2.141 * [taylor]: Taking taylor expansion of n in n 2.141 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.141 * [taylor]: Taking taylor expansion of -1 in n 2.141 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.141 * [taylor]: Taking taylor expansion of PI in n 2.141 * [taylor]: Taking taylor expansion of n in n 2.142 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2) 2.142 * [approximate]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in (n k) around 0 2.142 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.142 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.142 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.142 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.142 * [taylor]: Taking taylor expansion of 0.5 in k 2.142 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.142 * [taylor]: Taking taylor expansion of 1.0 in k 2.142 * [taylor]: Taking taylor expansion of k in k 2.142 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.142 * [taylor]: Taking taylor expansion of (* n PI) in k 2.142 * [taylor]: Taking taylor expansion of n in k 2.142 * [taylor]: Taking taylor expansion of PI in k 2.142 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.142 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.142 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.142 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.142 * [taylor]: Taking taylor expansion of 0.5 in n 2.142 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.142 * [taylor]: Taking taylor expansion of 1.0 in n 2.142 * [taylor]: Taking taylor expansion of k in n 2.142 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.142 * [taylor]: Taking taylor expansion of (* n PI) in n 2.142 * [taylor]: Taking taylor expansion of n in n 2.142 * [taylor]: Taking taylor expansion of PI in n 2.143 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.143 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.143 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.143 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.143 * [taylor]: Taking taylor expansion of 0.5 in n 2.143 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.143 * [taylor]: Taking taylor expansion of 1.0 in n 2.143 * [taylor]: Taking taylor expansion of k in n 2.143 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.143 * [taylor]: Taking taylor expansion of (* n PI) in n 2.143 * [taylor]: Taking taylor expansion of n in n 2.143 * [taylor]: Taking taylor expansion of PI in n 2.143 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) in k 2.143 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log n) (log PI)))) in k 2.143 * [taylor]: Taking taylor expansion of 0.5 in k 2.143 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log n) (log PI))) in k 2.143 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.143 * [taylor]: Taking taylor expansion of 1.0 in k 2.143 * [taylor]: Taking taylor expansion of k in k 2.143 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 2.143 * [taylor]: Taking taylor expansion of (log n) in k 2.143 * [taylor]: Taking taylor expansion of n in k 2.143 * [taylor]: Taking taylor expansion of (log PI) in k 2.143 * [taylor]: Taking taylor expansion of PI in k 2.144 * [taylor]: Taking taylor expansion of 0 in k 2.145 * [taylor]: Taking taylor expansion of 0 in k 2.147 * [approximate]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.147 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.147 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.147 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.147 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.147 * [taylor]: Taking taylor expansion of 0.5 in k 2.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.147 * [taylor]: Taking taylor expansion of 1.0 in k 2.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.147 * [taylor]: Taking taylor expansion of k in k 2.147 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.147 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.147 * [taylor]: Taking taylor expansion of PI in k 2.147 * [taylor]: Taking taylor expansion of n in k 2.147 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.147 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.147 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.147 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.147 * [taylor]: Taking taylor expansion of 0.5 in n 2.147 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.147 * [taylor]: Taking taylor expansion of 1.0 in n 2.147 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.148 * [taylor]: Taking taylor expansion of k in n 2.148 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.148 * [taylor]: Taking taylor expansion of PI in n 2.148 * [taylor]: Taking taylor expansion of n in n 2.148 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.148 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.148 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.148 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.148 * [taylor]: Taking taylor expansion of 0.5 in n 2.148 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.148 * [taylor]: Taking taylor expansion of 1.0 in n 2.148 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.148 * [taylor]: Taking taylor expansion of k in n 2.148 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.148 * [taylor]: Taking taylor expansion of PI in n 2.148 * [taylor]: Taking taylor expansion of n in n 2.148 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 2.148 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 2.148 * [taylor]: Taking taylor expansion of 0.5 in k 2.148 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 2.149 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 2.149 * [taylor]: Taking taylor expansion of (log PI) in k 2.149 * [taylor]: Taking taylor expansion of PI in k 2.149 * [taylor]: Taking taylor expansion of (log n) in k 2.149 * [taylor]: Taking taylor expansion of n in k 2.149 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.149 * [taylor]: Taking taylor expansion of 1.0 in k 2.149 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.149 * [taylor]: Taking taylor expansion of k in k 2.149 * [taylor]: Taking taylor expansion of 0 in k 2.150 * [taylor]: Taking taylor expansion of 0 in k 2.151 * [taylor]: Taking taylor expansion of 0 in k 2.151 * [approximate]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.152 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.152 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.152 * [taylor]: Taking taylor expansion of 0.5 in k 2.152 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.152 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.152 * [taylor]: Taking taylor expansion of k in k 2.152 * [taylor]: Taking taylor expansion of 1.0 in k 2.152 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.152 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.152 * [taylor]: Taking taylor expansion of -1 in k 2.152 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.152 * [taylor]: Taking taylor expansion of PI in k 2.152 * [taylor]: Taking taylor expansion of n in k 2.152 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.152 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.152 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.152 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.152 * [taylor]: Taking taylor expansion of 0.5 in n 2.152 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.152 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.152 * [taylor]: Taking taylor expansion of k in n 2.152 * [taylor]: Taking taylor expansion of 1.0 in n 2.152 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.152 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.152 * [taylor]: Taking taylor expansion of -1 in n 2.152 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.152 * [taylor]: Taking taylor expansion of PI in n 2.152 * [taylor]: Taking taylor expansion of n in n 2.153 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.153 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.153 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.153 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.153 * [taylor]: Taking taylor expansion of 0.5 in n 2.153 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.153 * [taylor]: Taking taylor expansion of k in n 2.153 * [taylor]: Taking taylor expansion of 1.0 in n 2.153 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.153 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.153 * [taylor]: Taking taylor expansion of -1 in n 2.153 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.153 * [taylor]: Taking taylor expansion of PI in n 2.153 * [taylor]: Taking taylor expansion of n in n 2.153 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 2.153 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 2.153 * [taylor]: Taking taylor expansion of 0.5 in k 2.153 * [taylor]: Taking taylor expansion of (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 2.153 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 2.153 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 2.153 * [taylor]: Taking taylor expansion of (* -1 PI) in k 2.153 * [taylor]: Taking taylor expansion of -1 in k 2.153 * [taylor]: Taking taylor expansion of PI in k 2.153 * [taylor]: Taking taylor expansion of (log n) in k 2.153 * [taylor]: Taking taylor expansion of n in k 2.153 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.153 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.153 * [taylor]: Taking taylor expansion of k in k 2.153 * [taylor]: Taking taylor expansion of 1.0 in k 2.154 * [taylor]: Taking taylor expansion of 0 in k 2.155 * [taylor]: Taking taylor expansion of 0 in k 2.156 * [taylor]: Taking taylor expansion of 0 in k 2.156 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.156 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.156 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k))))) in n 2.156 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.156 * [taylor]: Taking taylor expansion of k in n 2.156 * [taylor]: Taking taylor expansion of (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k)))) in n 2.156 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.156 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.156 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.157 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.157 * [taylor]: Taking taylor expansion of 0.5 in n 2.157 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.157 * [taylor]: Taking taylor expansion of 1.0 in n 2.157 * [taylor]: Taking taylor expansion of k in n 2.157 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.157 * [taylor]: Taking taylor expansion of (* n PI) in n 2.157 * [taylor]: Taking taylor expansion of n in n 2.157 * [taylor]: Taking taylor expansion of PI in n 2.157 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k))))) in k 2.157 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.157 * [taylor]: Taking taylor expansion of k in k 2.157 * [taylor]: Taking taylor expansion of (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k)))) in k 2.157 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.157 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.157 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.157 * [taylor]: Taking taylor expansion of 0.5 in k 2.157 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.157 * [taylor]: Taking taylor expansion of 1.0 in k 2.157 * [taylor]: Taking taylor expansion of k in k 2.157 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.157 * [taylor]: Taking taylor expansion of (* n PI) in k 2.157 * [taylor]: Taking taylor expansion of n in k 2.157 * [taylor]: Taking taylor expansion of PI in k 2.157 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k))))) in k 2.157 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.157 * [taylor]: Taking taylor expansion of k in k 2.158 * [taylor]: Taking taylor expansion of (/ 1 (pow (* n PI) (* 0.5 (- 1.0 k)))) in k 2.158 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.158 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.158 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.158 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.158 * [taylor]: Taking taylor expansion of 0.5 in k 2.158 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.158 * [taylor]: Taking taylor expansion of 1.0 in k 2.158 * [taylor]: Taking taylor expansion of k in k 2.158 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.158 * [taylor]: Taking taylor expansion of (* n PI) in k 2.158 * [taylor]: Taking taylor expansion of n in k 2.158 * [taylor]: Taking taylor expansion of PI in k 2.158 * [taylor]: Taking taylor expansion of 0 in n 2.159 * [taylor]: Taking taylor expansion of (* NAN (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.159 * [taylor]: Taking taylor expansion of NAN in n 2.159 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.159 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.159 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.159 * [taylor]: Taking taylor expansion of 0.5 in n 2.159 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.159 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.159 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.159 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.159 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.159 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.159 * [taylor]: Taking taylor expansion of 1.0 in n 2.159 * [taylor]: Taking taylor expansion of (log n) in n 2.159 * [taylor]: Taking taylor expansion of n in n 2.160 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.160 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.160 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.160 * [taylor]: Taking taylor expansion of 1.0 in n 2.160 * [taylor]: Taking taylor expansion of (log PI) in n 2.160 * [taylor]: Taking taylor expansion of PI in n 2.163 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* NAN (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* (pow NAN 3) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.163 * [taylor]: Taking taylor expansion of (* 0.5 (* (* NAN (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.163 * [taylor]: Taking taylor expansion of 0.5 in n 2.163 * [taylor]: Taking taylor expansion of (* (* NAN (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.163 * [taylor]: Taking taylor expansion of (* NAN (log (* n PI))) in n 2.163 * [taylor]: Taking taylor expansion of NAN in n 2.163 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.163 * [taylor]: Taking taylor expansion of (* n PI) in n 2.163 * [taylor]: Taking taylor expansion of n in n 2.163 * [taylor]: Taking taylor expansion of PI in n 2.163 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.163 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.163 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.163 * [taylor]: Taking taylor expansion of 0.5 in n 2.163 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.163 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.163 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.163 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.163 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.163 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.163 * [taylor]: Taking taylor expansion of 1.0 in n 2.163 * [taylor]: Taking taylor expansion of (log n) in n 2.163 * [taylor]: Taking taylor expansion of n in n 2.164 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.164 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.164 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.164 * [taylor]: Taking taylor expansion of 1.0 in n 2.164 * [taylor]: Taking taylor expansion of (log PI) in n 2.164 * [taylor]: Taking taylor expansion of PI in n 2.164 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.164 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.164 * [taylor]: Taking taylor expansion of NAN in n 2.164 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.164 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.164 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.164 * [taylor]: Taking taylor expansion of 0.5 in n 2.164 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.165 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.165 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.165 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.165 * [taylor]: Taking taylor expansion of 1.0 in n 2.165 * [taylor]: Taking taylor expansion of (log n) in n 2.165 * [taylor]: Taking taylor expansion of n in n 2.165 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.165 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.165 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.165 * [taylor]: Taking taylor expansion of 1.0 in n 2.165 * [taylor]: Taking taylor expansion of (log PI) in n 2.165 * [taylor]: Taking taylor expansion of PI in n 2.175 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* (pow NAN 5) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* 0.125 (* (* NAN (pow (log (* n PI)) 2)) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.175 * [taylor]: Taking taylor expansion of 0.5 in n 2.175 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (log (* n PI))) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.175 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log (* n PI))) in n 2.175 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.175 * [taylor]: Taking taylor expansion of NAN in n 2.175 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.175 * [taylor]: Taking taylor expansion of (* n PI) in n 2.175 * [taylor]: Taking taylor expansion of n in n 2.175 * [taylor]: Taking taylor expansion of PI in n 2.175 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.175 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.175 * [taylor]: Taking taylor expansion of 0.5 in n 2.175 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.175 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.175 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.175 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.175 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.175 * [taylor]: Taking taylor expansion of 1.0 in n 2.175 * [taylor]: Taking taylor expansion of (log n) in n 2.175 * [taylor]: Taking taylor expansion of n in n 2.175 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.175 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.175 * [taylor]: Taking taylor expansion of 1.0 in n 2.175 * [taylor]: Taking taylor expansion of (log PI) in n 2.175 * [taylor]: Taking taylor expansion of PI in n 2.176 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 5) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* 0.125 (* (* NAN (pow (log (* n PI)) 2)) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.176 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.176 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.176 * [taylor]: Taking taylor expansion of NAN in n 2.176 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.176 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.176 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.176 * [taylor]: Taking taylor expansion of 0.5 in n 2.176 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.176 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.176 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.176 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.176 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.176 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [taylor]: Taking taylor expansion of (log n) in n 2.177 * [taylor]: Taking taylor expansion of n in n 2.177 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.177 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.177 * [taylor]: Taking taylor expansion of 1.0 in n 2.177 * [taylor]: Taking taylor expansion of (log PI) in n 2.177 * [taylor]: Taking taylor expansion of PI in n 2.177 * [taylor]: Taking taylor expansion of (* 0.125 (* (* NAN (pow (log (* n PI)) 2)) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.178 * [taylor]: Taking taylor expansion of 0.125 in n 2.178 * [taylor]: Taking taylor expansion of (* (* NAN (pow (log (* n PI)) 2)) (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.178 * [taylor]: Taking taylor expansion of (* NAN (pow (log (* n PI)) 2)) in n 2.178 * [taylor]: Taking taylor expansion of NAN in n 2.178 * [taylor]: Taking taylor expansion of (pow (log (* n PI)) 2) in n 2.178 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.178 * [taylor]: Taking taylor expansion of (* n PI) in n 2.178 * [taylor]: Taking taylor expansion of n in n 2.178 * [taylor]: Taking taylor expansion of PI in n 2.178 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.178 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))))) in n 2.178 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow n 1.0) (pow PI 1.0))))) in n 2.178 * [taylor]: Taking taylor expansion of 0.5 in n 2.178 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow n 1.0) (pow PI 1.0)))) in n 2.178 * [taylor]: Taking taylor expansion of (/ 1 (* (pow n 1.0) (pow PI 1.0))) in n 2.178 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.178 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.178 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.178 * [taylor]: Taking taylor expansion of 1.0 in n 2.178 * [taylor]: Taking taylor expansion of (log n) in n 2.178 * [taylor]: Taking taylor expansion of n in n 2.178 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.178 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.178 * [taylor]: Taking taylor expansion of 1.0 in n 2.178 * [taylor]: Taking taylor expansion of (log PI) in n 2.178 * [taylor]: Taking taylor expansion of PI in n 2.190 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.190 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.190 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.190 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.190 * [taylor]: Taking taylor expansion of k in n 2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.190 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.190 * [taylor]: Taking taylor expansion of 0.5 in n 2.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.190 * [taylor]: Taking taylor expansion of 1.0 in n 2.190 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.190 * [taylor]: Taking taylor expansion of k in n 2.190 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.190 * [taylor]: Taking taylor expansion of PI in n 2.190 * [taylor]: Taking taylor expansion of n in n 2.190 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.191 * [taylor]: Taking taylor expansion of k in k 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.191 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.191 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.191 * [taylor]: Taking taylor expansion of 0.5 in k 2.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.191 * [taylor]: Taking taylor expansion of 1.0 in k 2.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.191 * [taylor]: Taking taylor expansion of k in k 2.191 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.191 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.191 * [taylor]: Taking taylor expansion of PI in k 2.191 * [taylor]: Taking taylor expansion of n in k 2.191 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.191 * [taylor]: Taking taylor expansion of k in k 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.191 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.191 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.191 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.191 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.191 * [taylor]: Taking taylor expansion of 0.5 in k 2.191 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.191 * [taylor]: Taking taylor expansion of 1.0 in k 2.191 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.191 * [taylor]: Taking taylor expansion of k in k 2.191 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.191 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.191 * [taylor]: Taking taylor expansion of PI in k 2.191 * [taylor]: Taking taylor expansion of n in k 2.192 * [taylor]: Taking taylor expansion of 0 in n 2.192 * [taylor]: Taking taylor expansion of (/ NAN (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))))) in n 2.192 * [taylor]: Taking taylor expansion of NAN in n 2.192 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.192 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.192 * [taylor]: Taking taylor expansion of 0.5 in n 2.192 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.192 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.192 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.192 * [taylor]: Taking taylor expansion of PI in n 2.192 * [taylor]: Taking taylor expansion of n in n 2.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.192 * [taylor]: Taking taylor expansion of 1.0 in n 2.192 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.192 * [taylor]: Taking taylor expansion of k in n 2.193 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))))) in n 2.193 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.193 * [taylor]: Taking taylor expansion of NAN in n 2.193 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.193 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.193 * [taylor]: Taking taylor expansion of 0.5 in n 2.194 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.194 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.194 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.194 * [taylor]: Taking taylor expansion of PI in n 2.194 * [taylor]: Taking taylor expansion of n in n 2.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.194 * [taylor]: Taking taylor expansion of 1.0 in n 2.194 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.194 * [taylor]: Taking taylor expansion of k in n 2.196 * [taylor]: Taking taylor expansion of (/ (pow NAN 5) (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))))) in n 2.196 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.196 * [taylor]: Taking taylor expansion of NAN in n 2.196 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 2.196 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 2.196 * [taylor]: Taking taylor expansion of 0.5 in n 2.196 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 2.196 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.196 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.196 * [taylor]: Taking taylor expansion of PI in n 2.196 * [taylor]: Taking taylor expansion of n in n 2.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.196 * [taylor]: Taking taylor expansion of 1.0 in n 2.196 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.196 * [taylor]: Taking taylor expansion of k in n 2.197 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 2.197 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.197 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.197 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.197 * [taylor]: Taking taylor expansion of -1 in n 2.197 * [taylor]: Taking taylor expansion of k in n 2.198 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.198 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.198 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.198 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.198 * [taylor]: Taking taylor expansion of 0.5 in n 2.198 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.198 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.198 * [taylor]: Taking taylor expansion of k in n 2.198 * [taylor]: Taking taylor expansion of 1.0 in n 2.198 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.198 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.198 * [taylor]: Taking taylor expansion of -1 in n 2.198 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.198 * [taylor]: Taking taylor expansion of PI in n 2.198 * [taylor]: Taking taylor expansion of n in n 2.198 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.198 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.198 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.198 * [taylor]: Taking taylor expansion of -1 in k 2.198 * [taylor]: Taking taylor expansion of k in k 2.198 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.198 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.198 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.198 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.198 * [taylor]: Taking taylor expansion of 0.5 in k 2.199 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.199 * [taylor]: Taking taylor expansion of k in k 2.199 * [taylor]: Taking taylor expansion of 1.0 in k 2.199 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.199 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.199 * [taylor]: Taking taylor expansion of -1 in k 2.199 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.199 * [taylor]: Taking taylor expansion of PI in k 2.199 * [taylor]: Taking taylor expansion of n in k 2.199 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.199 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.199 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.199 * [taylor]: Taking taylor expansion of -1 in k 2.199 * [taylor]: Taking taylor expansion of k in k 2.199 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.199 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.199 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.199 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.199 * [taylor]: Taking taylor expansion of 0.5 in k 2.199 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.199 * [taylor]: Taking taylor expansion of k in k 2.199 * [taylor]: Taking taylor expansion of 1.0 in k 2.199 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.199 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.199 * [taylor]: Taking taylor expansion of -1 in k 2.199 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.199 * [taylor]: Taking taylor expansion of PI in k 2.199 * [taylor]: Taking taylor expansion of n in k 2.200 * [taylor]: Taking taylor expansion of (/ NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))))) in n 2.200 * [taylor]: Taking taylor expansion of NAN in n 2.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.200 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.200 * [taylor]: Taking taylor expansion of 0.5 in n 2.200 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.200 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.200 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.200 * [taylor]: Taking taylor expansion of k in n 2.200 * [taylor]: Taking taylor expansion of 1.0 in n 2.200 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.200 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.200 * [taylor]: Taking taylor expansion of -1 in n 2.200 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.200 * [taylor]: Taking taylor expansion of PI in n 2.200 * [taylor]: Taking taylor expansion of n in n 2.201 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))))) in n 2.201 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.201 * [taylor]: Taking taylor expansion of NAN in n 2.201 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.201 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.201 * [taylor]: Taking taylor expansion of 0.5 in n 2.201 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.201 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.201 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.201 * [taylor]: Taking taylor expansion of k in n 2.201 * [taylor]: Taking taylor expansion of 1.0 in n 2.201 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.201 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.201 * [taylor]: Taking taylor expansion of -1 in n 2.202 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.202 * [taylor]: Taking taylor expansion of PI in n 2.202 * [taylor]: Taking taylor expansion of n in n 2.204 * [taylor]: Taking taylor expansion of (/ (pow NAN 5) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))))) in n 2.204 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.204 * [taylor]: Taking taylor expansion of NAN in n 2.204 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 2.204 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 2.204 * [taylor]: Taking taylor expansion of 0.5 in n 2.204 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 2.204 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.204 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.204 * [taylor]: Taking taylor expansion of k in n 2.204 * [taylor]: Taking taylor expansion of 1.0 in n 2.204 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.204 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.204 * [taylor]: Taking taylor expansion of -1 in n 2.204 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.204 * [taylor]: Taking taylor expansion of PI in n 2.204 * [taylor]: Taking taylor expansion of n in n 2.205 * * * [progress]: simplifying candidates 2.214 * [simplify]: Simplifying using # : (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (log (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (sqrt k)) (log (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (log (pow (* PI n) (/ (- 1.0 k) 2.0))))) (- (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (log (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (exp (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (* (cbrt (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0)))))) (cbrt (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (* (* (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (neg (pow 2.0 (/ (- 1.0 k) 2.0))) (neg (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (* (cbrt (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0)))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (cbrt (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (sqrt (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- 1.0 k) 2.0)))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt (sqrt k)) (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt (sqrt k)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ (- 1.0 k) 2.0)))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0)))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (cbrt k)) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (cbrt k)) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (pow (* (cbrt 2.0) (cbrt 2.0)) (/ (- 1.0 k) 2.0)) (/ (sqrt (* (cbrt k) (cbrt k))) 1)) (/ (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (cbrt k)) (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ 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(/ (sqrt (sqrt k)) (pow (* PI n) (/ (- 1.0 k) (* 2 2.0)))) (/ 1 (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (/ 1 (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (sqrt k) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ 1 (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) 1 (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ 1 (pow (* PI n) (/ (- 1.0 k) (* 2 2.0)))) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) (* 2 2.0)))) (/ 1 (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (sqrt k) (pow PI (/ (- 1.0 k) 2.0))) (/ (sqrt k) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))))) (/ (sqrt k) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (sqrt k) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) (* 2 2.0)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (sqrt k) (pow (* PI n) (/ 1.0 2.0))) (+ (* 0.125 (* k (* k (* (pow (log 2.0) 2) (* NAN (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5)))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* k (* k (pow NAN 5))) (* 0.25 (* (log 2.0) (* k (* k (* (log PI) NAN))))))) (- (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log PI) 2))))) (* 0.125 (* k (* k (* NAN (pow (log n) 2))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (* (* (log PI) (* k (* k (* (log n) NAN)))) 0.25)) (+ (* k (* (pow NAN 3) (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5))) (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* (log 2.0) (* k (* k (* (log n) NAN))))) NAN))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* k (* (log PI) (pow NAN 3))))) (* 0.5 (* k (* k (* (log n) (pow NAN 3))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log n) NAN))) (* 0.5 (* k (* (log PI) NAN))))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* (log 2.0) (* k NAN)) (* (log 2.0) (* k (* k (pow NAN 3)))))))))))) (+ (* (/ (pow (exp 0.5) (* (- 1.0 k) (log (* PI n)))) k) (/ (* (pow NAN 3) (pow (exp 0.5) (* (log 2.0) (- 1.0 k)))) k)) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (log (* PI n)))) (/ k (* NAN (pow (exp 0.5) (* (log 2.0) (- 1.0 k)))))) (/ (pow (exp 0.5) (* (- 1.0 k) (log (* PI n)))) (/ (pow k 3) (* (pow NAN 5) (pow (exp 0.5) (* (log 2.0) (- 1.0 k)))))))) (+ (/ (* NAN (exp (* 0.5 (+ (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n)))) (* (log 2.0) (- 1.0 k)))))) k) (/ (exp (* 0.5 (+ (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n)))) (* (log 2.0) (- 1.0 k))))) NAN)) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* (pow (log PI) 2) (pow (* PI n) 0.5))))) (+ (pow (* PI n) 0.5) (- (+ (* 0.125 (* k (* k (* (pow (log n) 2) (pow (* PI n) 0.5))))) (* (* k k) (* (* (log PI) (* (log n) (pow (* PI n) 0.5))) 0.25))) (* 0.5 (* (* k (pow (* PI n) 0.5)) (log (* PI n))))))) (pow (exp 0.5) (* (- 1.0 k) (log (* PI n)))) (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n))))) (+ (* (pow (/ 1 (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* k (* (log PI) NAN)))) (* 0.5 (* k (* k (* (log n) NAN)))))) (+ (* (pow (/ 1 (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* (pow NAN 5) (pow k 3)) (* 0.125 (* NAN (* (pow (log n) 2) (pow k 3)))))) (+ (* (pow (/ 1 (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (log n) (* (pow NAN 3) (pow k 3)))) (* 0.25 (* NAN (* (* (log PI) (log n)) (pow k 3)))))) (+ (* (pow (/ 1 (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (log PI) (* (pow NAN 3) (pow k 3)))) (* 0.125 (* NAN (* (pow (log PI) 2) (pow k 3)))))) (* (pow (/ 1 (* (pow (pow (exp 1.0) (+ (log n) (log 1))) 1.0) (pow PI 1.0))) 0.5) (+ (* k NAN) (* k (* k (pow NAN 3))))))))) (+ (/ (pow NAN 3) (* k (pow (exp 0.5) (* (- 1.0 k) (log (* PI n)))))) (+ (/ NAN (pow (exp 0.5) (* (- 1.0 k) (log (* PI n))))) (/ (pow NAN 5) (* k (* k (pow (exp 0.5) (* (- 1.0 k) (log (* PI n))))))))) (+ (/ (pow NAN 5) (* k (* k (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n)))))))) (- (/ NAN (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n)))))) (/ (pow NAN 3) (* k (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n))))))))) 2.308 * * * [progress]: adding candidates to table 3.427 * [progress]: [Phase 3 of 3] Extracting. 3.427 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 3.430 * * * [regime-changes]: Trying 2 branch expressions: (n k) 3.430 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 3.499 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 3.567 * * * [regime]: Found split indices: #