12.497 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.216 * * * [progress]: [2/2] Setting up program. 0.218 * [progress]: [Phase 2 of 3] Improving. 0.219 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.221 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.223 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.224 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.227 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.233 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.256 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.257 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.257 * * [progress]: iteration 1 / 4 0.257 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.273 * * * [progress]: generating rewritten candidates 0.273 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.283 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.290 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.293 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.321 * * * [progress]: generating series expansions 0.321 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.322 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.322 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.322 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.322 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.322 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.322 * [taylor]: Taking taylor expansion of 0.5 in k 0.322 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.322 * [taylor]: Taking taylor expansion of 1.0 in k 0.322 * [taylor]: Taking taylor expansion of k in k 0.322 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.322 * [taylor]: Taking taylor expansion of 2.0 in k 0.322 * [taylor]: Taking taylor expansion of (* n PI) in k 0.322 * [taylor]: Taking taylor expansion of n in k 0.322 * [taylor]: Taking taylor expansion of PI in k 0.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.323 * [taylor]: Taking taylor expansion of 0.5 in n 0.323 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.323 * [taylor]: Taking taylor expansion of 1.0 in n 0.323 * [taylor]: Taking taylor expansion of k in n 0.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.323 * [taylor]: Taking taylor expansion of 2.0 in n 0.323 * [taylor]: Taking taylor expansion of (* n PI) in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of PI in n 0.329 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.329 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.329 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.329 * [taylor]: Taking taylor expansion of 0.5 in n 0.329 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.329 * [taylor]: Taking taylor expansion of 1.0 in n 0.329 * [taylor]: Taking taylor expansion of k in n 0.329 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.329 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.329 * [taylor]: Taking taylor expansion of 2.0 in n 0.329 * [taylor]: Taking taylor expansion of (* n PI) in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of PI in n 0.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.335 * [taylor]: Taking taylor expansion of 0.5 in k 0.335 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.335 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.335 * [taylor]: Taking taylor expansion of 1.0 in k 0.335 * [taylor]: Taking taylor expansion of k in k 0.335 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.335 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.335 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.335 * [taylor]: Taking taylor expansion of 2.0 in k 0.335 * [taylor]: Taking taylor expansion of PI in k 0.336 * [taylor]: Taking taylor expansion of (log n) in k 0.336 * [taylor]: Taking taylor expansion of n in k 0.346 * [taylor]: Taking taylor expansion of 0 in k 0.362 * [taylor]: Taking taylor expansion of 0 in k 0.382 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.382 * [taylor]: Taking taylor expansion of 0.5 in k 0.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.382 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.382 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.382 * [taylor]: Taking taylor expansion of 2.0 in k 0.382 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.382 * [taylor]: Taking taylor expansion of PI in k 0.382 * [taylor]: Taking taylor expansion of n in k 0.383 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.383 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.383 * [taylor]: Taking taylor expansion of 0.5 in n 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.383 * [taylor]: Taking taylor expansion of 1.0 in n 0.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.383 * [taylor]: Taking taylor expansion of k in n 0.383 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.383 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.383 * [taylor]: Taking taylor expansion of 2.0 in n 0.384 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.384 * [taylor]: Taking taylor expansion of PI in n 0.384 * [taylor]: Taking taylor expansion of n in n 0.387 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.387 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.387 * [taylor]: Taking taylor expansion of 0.5 in n 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.387 * [taylor]: Taking taylor expansion of 1.0 in n 0.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.387 * [taylor]: Taking taylor expansion of k in n 0.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.388 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.388 * [taylor]: Taking taylor expansion of 2.0 in n 0.388 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.388 * [taylor]: Taking taylor expansion of PI in n 0.388 * [taylor]: Taking taylor expansion of n in n 0.391 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.391 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.391 * [taylor]: Taking taylor expansion of 0.5 in k 0.391 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.391 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.391 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.391 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.391 * [taylor]: Taking taylor expansion of 2.0 in k 0.391 * [taylor]: Taking taylor expansion of PI in k 0.392 * [taylor]: Taking taylor expansion of (log n) in k 0.392 * [taylor]: Taking taylor expansion of n in k 0.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.392 * [taylor]: Taking taylor expansion of 1.0 in k 0.393 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.393 * [taylor]: Taking taylor expansion of k in k 0.409 * [taylor]: Taking taylor expansion of 0 in k 0.416 * [taylor]: Taking taylor expansion of 0 in k 0.425 * [taylor]: Taking taylor expansion of 0 in k 0.426 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.426 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.426 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.426 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.426 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.426 * [taylor]: Taking taylor expansion of 0.5 in k 0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.426 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.426 * [taylor]: Taking taylor expansion of k in k 0.427 * [taylor]: Taking taylor expansion of 1.0 in k 0.427 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.427 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.427 * [taylor]: Taking taylor expansion of -2.0 in k 0.427 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.427 * [taylor]: Taking taylor expansion of PI in k 0.427 * [taylor]: Taking taylor expansion of n in k 0.428 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.428 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.428 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.428 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.428 * [taylor]: Taking taylor expansion of 0.5 in n 0.428 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.428 * [taylor]: Taking taylor expansion of k in n 0.428 * [taylor]: Taking taylor expansion of 1.0 in n 0.428 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.428 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.428 * [taylor]: Taking taylor expansion of -2.0 in n 0.428 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.428 * [taylor]: Taking taylor expansion of PI in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.432 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.432 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.432 * [taylor]: Taking taylor expansion of 0.5 in n 0.432 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.432 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.432 * [taylor]: Taking taylor expansion of k in n 0.432 * [taylor]: Taking taylor expansion of 1.0 in n 0.432 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.432 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.432 * [taylor]: Taking taylor expansion of -2.0 in n 0.432 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.432 * [taylor]: Taking taylor expansion of PI in n 0.432 * [taylor]: Taking taylor expansion of n in n 0.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.436 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.436 * [taylor]: Taking taylor expansion of 0.5 in k 0.436 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.436 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.436 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.436 * [taylor]: Taking taylor expansion of k in k 0.436 * [taylor]: Taking taylor expansion of 1.0 in k 0.436 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.436 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.436 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.436 * [taylor]: Taking taylor expansion of -2.0 in k 0.436 * [taylor]: Taking taylor expansion of PI in k 0.437 * [taylor]: Taking taylor expansion of (log n) in k 0.437 * [taylor]: Taking taylor expansion of n in k 0.446 * [taylor]: Taking taylor expansion of 0 in k 0.453 * [taylor]: Taking taylor expansion of 0 in k 0.462 * [taylor]: Taking taylor expansion of 0 in k 0.463 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.463 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.463 * [taylor]: Taking taylor expansion of 2.0 in n 0.463 * [taylor]: Taking taylor expansion of (* n PI) in n 0.463 * [taylor]: Taking taylor expansion of n in n 0.463 * [taylor]: Taking taylor expansion of PI in n 0.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.463 * [taylor]: Taking taylor expansion of 2.0 in n 0.463 * [taylor]: Taking taylor expansion of (* n PI) in n 0.463 * [taylor]: Taking taylor expansion of n in n 0.463 * [taylor]: Taking taylor expansion of PI in n 0.476 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.476 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.476 * [taylor]: Taking taylor expansion of 2.0 in n 0.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.476 * [taylor]: Taking taylor expansion of PI in n 0.476 * [taylor]: Taking taylor expansion of n in n 0.476 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.476 * [taylor]: Taking taylor expansion of 2.0 in n 0.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.476 * [taylor]: Taking taylor expansion of PI in n 0.476 * [taylor]: Taking taylor expansion of n in n 0.491 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.491 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.491 * [taylor]: Taking taylor expansion of -2.0 in n 0.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.491 * [taylor]: Taking taylor expansion of PI in n 0.491 * [taylor]: Taking taylor expansion of n in n 0.491 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.491 * [taylor]: Taking taylor expansion of -2.0 in n 0.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.491 * [taylor]: Taking taylor expansion of PI in n 0.492 * [taylor]: Taking taylor expansion of n in n 0.500 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.501 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.501 * [taylor]: Taking taylor expansion of 1.0 in k 0.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.501 * [taylor]: Taking taylor expansion of k in k 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.502 * [taylor]: Taking taylor expansion of 1.0 in k 0.502 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.502 * [taylor]: Taking taylor expansion of k in k 0.513 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.513 * [taylor]: Taking taylor expansion of 1.0 in k 0.513 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.513 * [taylor]: Taking taylor expansion of k in k 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.515 * [taylor]: Taking taylor expansion of 1.0 in k 0.515 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.515 * [taylor]: Taking taylor expansion of k in k 0.525 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.525 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.525 * [taylor]: Taking taylor expansion of 1.0 in k 0.525 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.525 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.525 * [taylor]: Taking taylor expansion of -1 in k 0.525 * [taylor]: Taking taylor expansion of k in k 0.527 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.527 * [taylor]: Taking taylor expansion of 1.0 in k 0.527 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.527 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.527 * [taylor]: Taking taylor expansion of -1 in k 0.527 * [taylor]: Taking taylor expansion of k in k 0.538 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.539 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.539 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.539 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.539 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.539 * [taylor]: Taking taylor expansion of k in n 0.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.539 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.539 * [taylor]: Taking taylor expansion of 0.5 in n 0.539 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.539 * [taylor]: Taking taylor expansion of 1.0 in n 0.539 * [taylor]: Taking taylor expansion of k in n 0.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.539 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.539 * [taylor]: Taking taylor expansion of 2.0 in n 0.539 * [taylor]: Taking taylor expansion of (* n PI) in n 0.539 * [taylor]: Taking taylor expansion of n in n 0.539 * [taylor]: Taking taylor expansion of PI in n 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.545 * [taylor]: Taking taylor expansion of 1.0 in k 0.545 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.545 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.545 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.545 * [taylor]: Taking taylor expansion of k in k 0.546 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.546 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.546 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.546 * [taylor]: Taking taylor expansion of 0.5 in k 0.546 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.546 * [taylor]: Taking taylor expansion of 1.0 in k 0.546 * [taylor]: Taking taylor expansion of k in k 0.546 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.546 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.546 * [taylor]: Taking taylor expansion of 2.0 in k 0.546 * [taylor]: Taking taylor expansion of (* n PI) in k 0.546 * [taylor]: Taking taylor expansion of n in k 0.546 * [taylor]: Taking taylor expansion of PI in k 0.547 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.547 * [taylor]: Taking taylor expansion of 1.0 in k 0.547 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.547 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.547 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.547 * [taylor]: Taking taylor expansion of k in k 0.549 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.549 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.549 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.549 * [taylor]: Taking taylor expansion of 0.5 in k 0.549 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.549 * [taylor]: Taking taylor expansion of 1.0 in k 0.549 * [taylor]: Taking taylor expansion of k in k 0.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.549 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.549 * [taylor]: Taking taylor expansion of 2.0 in k 0.549 * [taylor]: Taking taylor expansion of (* n PI) in k 0.549 * [taylor]: Taking taylor expansion of n in k 0.549 * [taylor]: Taking taylor expansion of PI in k 0.551 * [taylor]: Taking taylor expansion of 0 in n 0.556 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.556 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.556 * [taylor]: Taking taylor expansion of +nan.0 in n 0.556 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.556 * [taylor]: Taking taylor expansion of 0.5 in n 0.556 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.556 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.556 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.556 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.556 * [taylor]: Taking taylor expansion of 1.0 in n 0.556 * [taylor]: Taking taylor expansion of (log PI) in n 0.556 * [taylor]: Taking taylor expansion of PI in n 0.558 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.558 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.558 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.558 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.558 * [taylor]: Taking taylor expansion of 1.0 in n 0.558 * [taylor]: Taking taylor expansion of (log n) in n 0.558 * [taylor]: Taking taylor expansion of n in n 0.559 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.559 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.559 * [taylor]: Taking taylor expansion of 1.0 in n 0.559 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.559 * [taylor]: Taking taylor expansion of 2.0 in n 0.584 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.584 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.584 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.585 * [taylor]: Taking taylor expansion of +nan.0 in n 0.585 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.585 * [taylor]: Taking taylor expansion of 0.5 in n 0.585 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.585 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.585 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.585 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.585 * [taylor]: Taking taylor expansion of 1.0 in n 0.585 * [taylor]: Taking taylor expansion of (log PI) in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.587 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.587 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.587 * [taylor]: Taking taylor expansion of 1.0 in n 0.587 * [taylor]: Taking taylor expansion of (log n) in n 0.587 * [taylor]: Taking taylor expansion of n in n 0.587 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.587 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.587 * [taylor]: Taking taylor expansion of 1.0 in n 0.587 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.587 * [taylor]: Taking taylor expansion of 2.0 in n 0.593 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.593 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.593 * [taylor]: Taking taylor expansion of +nan.0 in n 0.593 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.593 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.593 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.593 * [taylor]: Taking taylor expansion of 0.5 in n 0.593 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.593 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.593 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.593 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.593 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.593 * [taylor]: Taking taylor expansion of 1.0 in n 0.593 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.593 * [taylor]: Taking taylor expansion of 2.0 in n 0.595 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.595 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.595 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.595 * [taylor]: Taking taylor expansion of 1.0 in n 0.595 * [taylor]: Taking taylor expansion of (log PI) in n 0.595 * [taylor]: Taking taylor expansion of PI in n 0.597 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.597 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.597 * [taylor]: Taking taylor expansion of 1.0 in n 0.597 * [taylor]: Taking taylor expansion of (log n) in n 0.597 * [taylor]: Taking taylor expansion of n in n 0.603 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.603 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.603 * [taylor]: Taking taylor expansion of 2.0 in n 0.603 * [taylor]: Taking taylor expansion of (* n PI) in n 0.603 * [taylor]: Taking taylor expansion of n in n 0.603 * [taylor]: Taking taylor expansion of PI in n 0.653 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.653 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.654 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.654 * [taylor]: Taking taylor expansion of +nan.0 in n 0.654 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.654 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.654 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.654 * [taylor]: Taking taylor expansion of 0.5 in n 0.654 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.654 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.654 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.654 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.654 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.654 * [taylor]: Taking taylor expansion of 1.0 in n 0.654 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.654 * [taylor]: Taking taylor expansion of 2.0 in n 0.656 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.656 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.656 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.656 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (log n) in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.656 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.656 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.656 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (log PI) in n 0.656 * [taylor]: Taking taylor expansion of PI in n 0.662 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.662 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.662 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.662 * [taylor]: Taking taylor expansion of +nan.0 in n 0.662 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.662 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.662 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.662 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.662 * [taylor]: Taking taylor expansion of 0.5 in n 0.662 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.662 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.662 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.662 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.662 * [taylor]: Taking taylor expansion of 1.0 in n 0.662 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.662 * [taylor]: Taking taylor expansion of 2.0 in n 0.666 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.666 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.666 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.666 * [taylor]: Taking taylor expansion of 1.0 in n 0.666 * [taylor]: Taking taylor expansion of (log PI) in n 0.666 * [taylor]: Taking taylor expansion of PI in n 0.668 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.668 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.668 * [taylor]: Taking taylor expansion of 1.0 in n 0.668 * [taylor]: Taking taylor expansion of (log n) in n 0.668 * [taylor]: Taking taylor expansion of n in n 0.678 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.678 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.678 * [taylor]: Taking taylor expansion of 2.0 in n 0.678 * [taylor]: Taking taylor expansion of (* n PI) in n 0.678 * [taylor]: Taking taylor expansion of n in n 0.679 * [taylor]: Taking taylor expansion of PI in n 0.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.682 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.682 * [taylor]: Taking taylor expansion of +nan.0 in n 0.682 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.682 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.682 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.682 * [taylor]: Taking taylor expansion of 0.5 in n 0.682 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.682 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.682 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.682 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.682 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.682 * [taylor]: Taking taylor expansion of 1.0 in n 0.682 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.682 * [taylor]: Taking taylor expansion of 2.0 in n 0.684 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.684 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.684 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.684 * [taylor]: Taking taylor expansion of 1.0 in n 0.684 * [taylor]: Taking taylor expansion of (log PI) in n 0.684 * [taylor]: Taking taylor expansion of PI in n 0.686 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.686 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.686 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.686 * [taylor]: Taking taylor expansion of 1.0 in n 0.686 * [taylor]: Taking taylor expansion of (log n) in n 0.686 * [taylor]: Taking taylor expansion of n in n 0.690 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.690 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.690 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.690 * [taylor]: Taking taylor expansion of 2.0 in n 0.690 * [taylor]: Taking taylor expansion of (* n PI) in n 0.690 * [taylor]: Taking taylor expansion of n in n 0.690 * [taylor]: Taking taylor expansion of PI in n 0.771 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.771 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.771 * [taylor]: Taking taylor expansion of 1.0 in n 0.771 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.771 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.771 * [taylor]: Taking taylor expansion of k in n 0.771 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.771 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.771 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.771 * [taylor]: Taking taylor expansion of 0.5 in n 0.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.771 * [taylor]: Taking taylor expansion of 1.0 in n 0.771 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.771 * [taylor]: Taking taylor expansion of k in n 0.771 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.771 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.771 * [taylor]: Taking taylor expansion of 2.0 in n 0.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.771 * [taylor]: Taking taylor expansion of PI in n 0.771 * [taylor]: Taking taylor expansion of n in n 0.775 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.775 * [taylor]: Taking taylor expansion of 1.0 in k 0.775 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.775 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.775 * [taylor]: Taking taylor expansion of k in k 0.776 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.776 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.776 * [taylor]: Taking taylor expansion of 0.5 in k 0.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.776 * [taylor]: Taking taylor expansion of 1.0 in k 0.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.776 * [taylor]: Taking taylor expansion of k in k 0.777 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.777 * [taylor]: Taking taylor expansion of 2.0 in k 0.777 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.777 * [taylor]: Taking taylor expansion of PI in k 0.777 * [taylor]: Taking taylor expansion of n in k 0.778 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.778 * [taylor]: Taking taylor expansion of 1.0 in k 0.778 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.778 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.778 * [taylor]: Taking taylor expansion of k in k 0.779 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.779 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.779 * [taylor]: Taking taylor expansion of 0.5 in k 0.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.779 * [taylor]: Taking taylor expansion of 1.0 in k 0.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.779 * [taylor]: Taking taylor expansion of k in k 0.779 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.779 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.779 * [taylor]: Taking taylor expansion of 2.0 in k 0.779 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.779 * [taylor]: Taking taylor expansion of PI in k 0.779 * [taylor]: Taking taylor expansion of n in k 0.781 * [taylor]: Taking taylor expansion of 0 in n 0.782 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.782 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.782 * [taylor]: Taking taylor expansion of +nan.0 in n 0.782 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.782 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.782 * [taylor]: Taking taylor expansion of 0.5 in n 0.782 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.782 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.782 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.782 * [taylor]: Taking taylor expansion of 2.0 in n 0.782 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.782 * [taylor]: Taking taylor expansion of PI in n 0.782 * [taylor]: Taking taylor expansion of n in n 0.783 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.783 * [taylor]: Taking taylor expansion of 1.0 in n 0.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.783 * [taylor]: Taking taylor expansion of k in n 0.792 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.792 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.792 * [taylor]: Taking taylor expansion of +nan.0 in n 0.792 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.792 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.792 * [taylor]: Taking taylor expansion of 0.5 in n 0.792 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.792 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.792 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.792 * [taylor]: Taking taylor expansion of 2.0 in n 0.792 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.792 * [taylor]: Taking taylor expansion of PI in n 0.792 * [taylor]: Taking taylor expansion of n in n 0.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.793 * [taylor]: Taking taylor expansion of 1.0 in n 0.793 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.793 * [taylor]: Taking taylor expansion of k in n 0.810 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.810 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.810 * [taylor]: Taking taylor expansion of +nan.0 in n 0.810 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.810 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.810 * [taylor]: Taking taylor expansion of 0.5 in n 0.810 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.810 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.810 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.810 * [taylor]: Taking taylor expansion of 2.0 in n 0.810 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.810 * [taylor]: Taking taylor expansion of PI in n 0.810 * [taylor]: Taking taylor expansion of n in n 0.812 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.812 * [taylor]: Taking taylor expansion of 1.0 in n 0.812 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.812 * [taylor]: Taking taylor expansion of k in n 0.820 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.820 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.820 * [taylor]: Taking taylor expansion of 1.0 in n 0.820 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.820 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.821 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.821 * [taylor]: Taking taylor expansion of 0.5 in n 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.821 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.821 * [taylor]: Taking taylor expansion of k in n 0.821 * [taylor]: Taking taylor expansion of 1.0 in n 0.821 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.821 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.821 * [taylor]: Taking taylor expansion of -2.0 in n 0.821 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.821 * [taylor]: Taking taylor expansion of PI in n 0.821 * [taylor]: Taking taylor expansion of n in n 0.824 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.824 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.824 * [taylor]: Taking taylor expansion of -1 in n 0.824 * [taylor]: Taking taylor expansion of k in n 0.825 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.825 * [taylor]: Taking taylor expansion of 1.0 in k 0.825 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.826 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.826 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.826 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.826 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.826 * [taylor]: Taking taylor expansion of 0.5 in k 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.826 * [taylor]: Taking taylor expansion of k in k 0.826 * [taylor]: Taking taylor expansion of 1.0 in k 0.826 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.826 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.826 * [taylor]: Taking taylor expansion of -2.0 in k 0.826 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.826 * [taylor]: Taking taylor expansion of PI in k 0.826 * [taylor]: Taking taylor expansion of n in k 0.827 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.827 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.827 * [taylor]: Taking taylor expansion of -1 in k 0.827 * [taylor]: Taking taylor expansion of k in k 0.828 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.828 * [taylor]: Taking taylor expansion of 1.0 in k 0.828 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.829 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.829 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.829 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.829 * [taylor]: Taking taylor expansion of 0.5 in k 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.829 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.829 * [taylor]: Taking taylor expansion of k in k 0.829 * [taylor]: Taking taylor expansion of 1.0 in k 0.829 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.829 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.829 * [taylor]: Taking taylor expansion of -2.0 in k 0.829 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.829 * [taylor]: Taking taylor expansion of PI in k 0.829 * [taylor]: Taking taylor expansion of n in k 0.830 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.830 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.830 * [taylor]: Taking taylor expansion of -1 in k 0.830 * [taylor]: Taking taylor expansion of k in k 0.832 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.832 * [taylor]: Taking taylor expansion of +nan.0 in n 0.832 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.832 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.832 * [taylor]: Taking taylor expansion of 0.5 in n 0.832 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.832 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.832 * [taylor]: Taking taylor expansion of k in n 0.832 * [taylor]: Taking taylor expansion of 1.0 in n 0.832 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.832 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.832 * [taylor]: Taking taylor expansion of -2.0 in n 0.832 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.832 * [taylor]: Taking taylor expansion of PI in n 0.832 * [taylor]: Taking taylor expansion of n in n 0.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.842 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.842 * [taylor]: Taking taylor expansion of +nan.0 in n 0.842 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.842 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.842 * [taylor]: Taking taylor expansion of 0.5 in n 0.842 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.842 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.842 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.842 * [taylor]: Taking taylor expansion of k in n 0.842 * [taylor]: Taking taylor expansion of 1.0 in n 0.842 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.842 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.842 * [taylor]: Taking taylor expansion of -2.0 in n 0.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.842 * [taylor]: Taking taylor expansion of PI in n 0.842 * [taylor]: Taking taylor expansion of n in n 0.866 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.866 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.866 * [taylor]: Taking taylor expansion of +nan.0 in n 0.866 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.866 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.866 * [taylor]: Taking taylor expansion of 0.5 in n 0.866 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.866 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.866 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.866 * [taylor]: Taking taylor expansion of k in n 0.866 * [taylor]: Taking taylor expansion of 1.0 in n 0.866 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.867 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.867 * [taylor]: Taking taylor expansion of -2.0 in n 0.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.867 * [taylor]: Taking taylor expansion of PI in n 0.867 * [taylor]: Taking taylor expansion of n in n 0.876 * * * [progress]: simplifying candidates 0.878 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 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))) (- 1.0) (- (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 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))) (- (+ (* 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)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 0.888 * * [simplify]: iteration 0 : 950 enodes (cost 1461 ) 0.904 * * [simplify]: iteration 1 : 3924 enodes (cost 1358 ) 0.969 * * [simplify]: iteration 2 : 5002 enodes (cost 1344 ) 0.975 * [simplify]: Simplified to: (* (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 (- 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))) (* (* 2.0 PI) n) (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))) (* (* 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) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (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))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt 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)) (/ 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 (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (log (* (/ 1.0 (sqrt k)) (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)))) (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)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (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)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (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)) (* (/ 1.0 (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))) (/ (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))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.976 * * * [progress]: adding candidates to table 1.384 * * [progress]: iteration 2 / 4 1.384 * * * [progress]: picking best candidate 1.415 * * * * [pick]: Picked # 1.415 * * * [progress]: localizing error 1.439 * * * [progress]: generating rewritten candidates 1.439 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.446 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.453 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.459 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.470 * * * [progress]: generating series expansions 1.470 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.471 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.471 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.471 * [taylor]: Taking taylor expansion of 0.5 in n 1.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.471 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.471 * [taylor]: Taking taylor expansion of 2.0 in n 1.471 * [taylor]: Taking taylor expansion of (* n PI) in n 1.471 * [taylor]: Taking taylor expansion of n in n 1.471 * [taylor]: Taking taylor expansion of PI in n 1.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.477 * [taylor]: Taking taylor expansion of 0.5 in n 1.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.477 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.477 * [taylor]: Taking taylor expansion of 2.0 in n 1.477 * [taylor]: Taking taylor expansion of (* n PI) in n 1.477 * [taylor]: Taking taylor expansion of n in n 1.477 * [taylor]: Taking taylor expansion of PI in n 1.563 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.563 * [taylor]: Taking taylor expansion of 0.5 in n 1.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.563 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.563 * [taylor]: Taking taylor expansion of 2.0 in n 1.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.563 * [taylor]: Taking taylor expansion of PI in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.567 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.567 * [taylor]: Taking taylor expansion of 0.5 in n 1.567 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.567 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.567 * [taylor]: Taking taylor expansion of 2.0 in n 1.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.567 * [taylor]: Taking taylor expansion of PI in n 1.567 * [taylor]: Taking taylor expansion of n in n 1.650 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.650 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.650 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.650 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.650 * [taylor]: Taking taylor expansion of 0.5 in n 1.650 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.650 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.650 * [taylor]: Taking taylor expansion of -2.0 in n 1.650 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.650 * [taylor]: Taking taylor expansion of PI in n 1.650 * [taylor]: Taking taylor expansion of n in n 1.654 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.654 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.654 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.654 * [taylor]: Taking taylor expansion of 0.5 in n 1.654 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.654 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.654 * [taylor]: Taking taylor expansion of -2.0 in n 1.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.654 * [taylor]: Taking taylor expansion of PI in n 1.654 * [taylor]: Taking taylor expansion of n in n 1.734 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.735 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.735 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.735 * [taylor]: Taking taylor expansion of 2.0 in n 1.735 * [taylor]: Taking taylor expansion of (* n PI) in n 1.735 * [taylor]: Taking taylor expansion of n in n 1.735 * [taylor]: Taking taylor expansion of PI in n 1.735 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.735 * [taylor]: Taking taylor expansion of 2.0 in n 1.735 * [taylor]: Taking taylor expansion of (* n PI) in n 1.735 * [taylor]: Taking taylor expansion of n in n 1.735 * [taylor]: Taking taylor expansion of PI in n 1.747 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.747 * [taylor]: Taking taylor expansion of 2.0 in n 1.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.747 * [taylor]: Taking taylor expansion of PI in n 1.747 * [taylor]: Taking taylor expansion of n in n 1.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.747 * [taylor]: Taking taylor expansion of 2.0 in n 1.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.748 * [taylor]: Taking taylor expansion of PI in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.763 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.763 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.763 * [taylor]: Taking taylor expansion of -2.0 in n 1.763 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.763 * [taylor]: Taking taylor expansion of PI in n 1.763 * [taylor]: Taking taylor expansion of n in n 1.764 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.764 * [taylor]: Taking taylor expansion of -2.0 in n 1.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.764 * [taylor]: Taking taylor expansion of PI in n 1.764 * [taylor]: Taking taylor expansion of n in n 1.772 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.773 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.773 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.773 * [taylor]: Taking taylor expansion of 2.0 in n 1.773 * [taylor]: Taking taylor expansion of (* n PI) in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.773 * [taylor]: Taking taylor expansion of PI in n 1.773 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.773 * [taylor]: Taking taylor expansion of 2.0 in n 1.773 * [taylor]: Taking taylor expansion of (* n PI) in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.773 * [taylor]: Taking taylor expansion of PI in n 1.785 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.785 * [taylor]: Taking taylor expansion of 2.0 in n 1.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.786 * [taylor]: Taking taylor expansion of PI in n 1.786 * [taylor]: Taking taylor expansion of n in n 1.786 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.786 * [taylor]: Taking taylor expansion of 2.0 in n 1.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.786 * [taylor]: Taking taylor expansion of PI in n 1.786 * [taylor]: Taking taylor expansion of n in n 1.795 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.795 * [taylor]: Taking taylor expansion of -2.0 in n 1.795 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.795 * [taylor]: Taking taylor expansion of PI in n 1.795 * [taylor]: Taking taylor expansion of n in n 1.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.795 * [taylor]: Taking taylor expansion of -2.0 in n 1.795 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.795 * [taylor]: Taking taylor expansion of PI in n 1.795 * [taylor]: Taking taylor expansion of n in n 1.804 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.804 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.804 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.804 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.804 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.805 * [taylor]: Taking taylor expansion of 0.5 in k 1.805 * [taylor]: Taking taylor expansion of k in k 1.805 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.805 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.805 * [taylor]: Taking taylor expansion of 2.0 in k 1.805 * [taylor]: Taking taylor expansion of (* n PI) in k 1.805 * [taylor]: Taking taylor expansion of n in k 1.805 * [taylor]: Taking taylor expansion of PI in k 1.807 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.807 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.807 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.807 * [taylor]: Taking taylor expansion of 0.5 in n 1.807 * [taylor]: Taking taylor expansion of k in n 1.807 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.807 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.807 * [taylor]: Taking taylor expansion of 2.0 in n 1.807 * [taylor]: Taking taylor expansion of (* n PI) in n 1.807 * [taylor]: Taking taylor expansion of n in n 1.807 * [taylor]: Taking taylor expansion of PI in n 1.813 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.813 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.813 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.813 * [taylor]: Taking taylor expansion of 0.5 in n 1.813 * [taylor]: Taking taylor expansion of k in n 1.813 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.813 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.813 * [taylor]: Taking taylor expansion of 2.0 in n 1.813 * [taylor]: Taking taylor expansion of (* n PI) in n 1.813 * [taylor]: Taking taylor expansion of n in n 1.813 * [taylor]: Taking taylor expansion of PI in n 1.818 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.819 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.819 * [taylor]: Taking taylor expansion of 0.5 in k 1.819 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.819 * [taylor]: Taking taylor expansion of k in k 1.819 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.819 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.819 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.819 * [taylor]: Taking taylor expansion of 2.0 in k 1.819 * [taylor]: Taking taylor expansion of PI in k 1.820 * [taylor]: Taking taylor expansion of (log n) in k 1.820 * [taylor]: Taking taylor expansion of n in k 1.831 * [taylor]: Taking taylor expansion of 0 in k 1.847 * [taylor]: Taking taylor expansion of 0 in k 1.863 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.863 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.863 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.863 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.863 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.863 * [taylor]: Taking taylor expansion of 0.5 in k 1.863 * [taylor]: Taking taylor expansion of k in k 1.863 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.863 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.863 * [taylor]: Taking taylor expansion of 2.0 in k 1.863 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.863 * [taylor]: Taking taylor expansion of PI in k 1.863 * [taylor]: Taking taylor expansion of n in k 1.864 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.864 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.864 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.864 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.864 * [taylor]: Taking taylor expansion of 0.5 in n 1.864 * [taylor]: Taking taylor expansion of k in n 1.864 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.864 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.864 * [taylor]: Taking taylor expansion of 2.0 in n 1.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.864 * [taylor]: Taking taylor expansion of PI in n 1.864 * [taylor]: Taking taylor expansion of n in n 1.868 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.868 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.868 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.868 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.868 * [taylor]: Taking taylor expansion of 0.5 in n 1.868 * [taylor]: Taking taylor expansion of k in n 1.868 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.868 * [taylor]: Taking taylor expansion of 2.0 in n 1.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.868 * [taylor]: Taking taylor expansion of PI in n 1.868 * [taylor]: Taking taylor expansion of n in n 1.871 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.871 * [taylor]: Taking taylor expansion of 0.5 in k 1.871 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.871 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.872 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.872 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.872 * [taylor]: Taking taylor expansion of 2.0 in k 1.872 * [taylor]: Taking taylor expansion of PI in k 1.873 * [taylor]: Taking taylor expansion of (log n) in k 1.873 * [taylor]: Taking taylor expansion of n in k 1.873 * [taylor]: Taking taylor expansion of k in k 1.881 * [taylor]: Taking taylor expansion of 0 in k 1.887 * [taylor]: Taking taylor expansion of 0 in k 1.895 * [taylor]: Taking taylor expansion of 0 in k 1.896 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.896 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.896 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.896 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.896 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.896 * [taylor]: Taking taylor expansion of -0.5 in k 1.896 * [taylor]: Taking taylor expansion of k in k 1.896 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.896 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.896 * [taylor]: Taking taylor expansion of -2.0 in k 1.896 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.896 * [taylor]: Taking taylor expansion of PI in k 1.896 * [taylor]: Taking taylor expansion of n in k 1.897 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.897 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.897 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.897 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.897 * [taylor]: Taking taylor expansion of -0.5 in n 1.897 * [taylor]: Taking taylor expansion of k in n 1.897 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.897 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.897 * [taylor]: Taking taylor expansion of -2.0 in n 1.897 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.897 * [taylor]: Taking taylor expansion of PI in n 1.897 * [taylor]: Taking taylor expansion of n in n 1.901 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.901 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.901 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.901 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.901 * [taylor]: Taking taylor expansion of -0.5 in n 1.901 * [taylor]: Taking taylor expansion of k in n 1.901 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.901 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.901 * [taylor]: Taking taylor expansion of -2.0 in n 1.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.901 * [taylor]: Taking taylor expansion of PI in n 1.901 * [taylor]: Taking taylor expansion of n in n 1.904 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.904 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.904 * [taylor]: Taking taylor expansion of -0.5 in k 1.904 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.904 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.904 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.904 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.904 * [taylor]: Taking taylor expansion of -2.0 in k 1.905 * [taylor]: Taking taylor expansion of PI in k 1.905 * [taylor]: Taking taylor expansion of (log n) in k 1.905 * [taylor]: Taking taylor expansion of n in k 1.906 * [taylor]: Taking taylor expansion of k in k 1.914 * [taylor]: Taking taylor expansion of 0 in k 1.920 * [taylor]: Taking taylor expansion of 0 in k 1.928 * [taylor]: Taking taylor expansion of 0 in k 1.929 * * * [progress]: simplifying candidates 1.937 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.942 * * [simplify]: iteration 0 : 453 enodes (cost 528 ) 1.950 * * [simplify]: iteration 1 : 1774 enodes (cost 479 ) 1.982 * * [simplify]: iteration 2 : 5002 enodes (cost 473 ) 1.985 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ 1 (+ (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (* (* 0.5 k) (log (* (* 2.0 PI) n)))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 1.985 * * * [progress]: adding candidates to table 2.262 * * [progress]: iteration 3 / 4 2.262 * * * [progress]: picking best candidate 2.293 * * * * [pick]: Picked # 2.293 * * * [progress]: localizing error 2.315 * * * [progress]: generating rewritten candidates 2.315 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.342 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 2.372 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 2.380 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.390 * * * [progress]: generating series expansions 2.390 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.391 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.391 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.391 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.391 * [taylor]: Taking taylor expansion of 0.5 in n 2.391 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.391 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.391 * [taylor]: Taking taylor expansion of 2.0 in n 2.391 * [taylor]: Taking taylor expansion of (* n PI) in n 2.391 * [taylor]: Taking taylor expansion of n in n 2.391 * [taylor]: Taking taylor expansion of PI in n 2.397 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.397 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.397 * [taylor]: Taking taylor expansion of 0.5 in n 2.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.397 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.397 * [taylor]: Taking taylor expansion of 2.0 in n 2.397 * [taylor]: Taking taylor expansion of (* n PI) in n 2.397 * [taylor]: Taking taylor expansion of n in n 2.397 * [taylor]: Taking taylor expansion of PI in n 2.481 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.481 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.481 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.481 * [taylor]: Taking taylor expansion of 0.5 in n 2.481 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.481 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.481 * [taylor]: Taking taylor expansion of 2.0 in n 2.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.482 * [taylor]: Taking taylor expansion of PI in n 2.482 * [taylor]: Taking taylor expansion of n in n 2.485 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.485 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.485 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.485 * [taylor]: Taking taylor expansion of 0.5 in n 2.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.485 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.485 * [taylor]: Taking taylor expansion of 2.0 in n 2.485 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.485 * [taylor]: Taking taylor expansion of PI in n 2.485 * [taylor]: Taking taylor expansion of n in n 2.567 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in (n) around 0 2.567 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in n 2.567 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.567 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.567 * [taylor]: Taking taylor expansion of 0.5 in n 2.567 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.567 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.567 * [taylor]: Taking taylor expansion of 2.0 in n 2.567 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.567 * [taylor]: Taking taylor expansion of PI in n 2.567 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.567 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.567 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.567 * [taylor]: Taking taylor expansion of -1 in n 2.567 * [taylor]: Taking taylor expansion of n in n 2.573 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) 0.5) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 2.573 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 2.573 * [taylor]: Taking taylor expansion of 0.5 in n 2.573 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 2.573 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.573 * [taylor]: Taking taylor expansion of 2.0 in n 2.574 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.574 * [taylor]: Taking taylor expansion of PI in n 2.574 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.574 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.574 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.574 * [taylor]: Taking taylor expansion of -1 in n 2.574 * [taylor]: Taking taylor expansion of n in n 2.643 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 2.644 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.644 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.644 * [taylor]: Taking taylor expansion of 2.0 in n 2.644 * [taylor]: Taking taylor expansion of (* n PI) in n 2.644 * [taylor]: Taking taylor expansion of n in n 2.644 * [taylor]: Taking taylor expansion of PI in n 2.644 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.644 * [taylor]: Taking taylor expansion of 2.0 in n 2.644 * [taylor]: Taking taylor expansion of (* n PI) in n 2.644 * [taylor]: Taking taylor expansion of n in n 2.644 * [taylor]: Taking taylor expansion of PI in n 2.657 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.657 * [taylor]: Taking taylor expansion of 2.0 in n 2.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.657 * [taylor]: Taking taylor expansion of PI in n 2.657 * [taylor]: Taking taylor expansion of n in n 2.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.657 * [taylor]: Taking taylor expansion of 2.0 in n 2.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.657 * [taylor]: Taking taylor expansion of PI in n 2.657 * [taylor]: Taking taylor expansion of n in n 2.666 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 2.666 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.666 * [taylor]: Taking taylor expansion of 2.0 in n 2.666 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.666 * [taylor]: Taking taylor expansion of PI in n 2.666 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.666 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.666 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.666 * [taylor]: Taking taylor expansion of -1 in n 2.666 * [taylor]: Taking taylor expansion of n in n 2.668 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 2.668 * [taylor]: Taking taylor expansion of 2.0 in n 2.668 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 2.668 * [taylor]: Taking taylor expansion of PI in n 2.668 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 2.668 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.668 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.668 * [taylor]: Taking taylor expansion of -1 in n 2.668 * [taylor]: Taking taylor expansion of n in n 2.694 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 2.695 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 2.695 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.695 * [taylor]: Taking taylor expansion of 2.0 in n 2.695 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.695 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.695 * [taylor]: Taking taylor expansion of n in n 2.696 * [taylor]: Taking taylor expansion of PI in n 2.696 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 2.696 * [taylor]: Taking taylor expansion of 2.0 in n 2.696 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 2.696 * [taylor]: Taking taylor expansion of (sqrt n) in n 2.696 * [taylor]: Taking taylor expansion of n in n 2.697 * [taylor]: Taking taylor expansion of PI in n 2.718 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 2.718 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.718 * [taylor]: Taking taylor expansion of 2.0 in n 2.718 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.718 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.718 * [taylor]: Taking taylor expansion of n in n 2.720 * [taylor]: Taking taylor expansion of PI in n 2.720 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 2.720 * [taylor]: Taking taylor expansion of 2.0 in n 2.720 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 2.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 2.720 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.720 * [taylor]: Taking taylor expansion of n in n 2.721 * [taylor]: Taking taylor expansion of PI in n 2.743 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 2.743 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.743 * [taylor]: Taking taylor expansion of 2.0 in n 2.743 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.743 * [taylor]: Taking taylor expansion of PI in n 2.743 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.743 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.743 * [taylor]: Taking taylor expansion of -1 in n 2.743 * [taylor]: Taking taylor expansion of n in n 2.744 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 2.744 * [taylor]: Taking taylor expansion of 2.0 in n 2.745 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 2.745 * [taylor]: Taking taylor expansion of PI in n 2.745 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 2.745 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.745 * [taylor]: Taking taylor expansion of -1 in n 2.745 * [taylor]: Taking taylor expansion of n in n 2.766 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.766 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.766 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.766 * [taylor]: Taking taylor expansion of 2.0 in n 2.766 * [taylor]: Taking taylor expansion of (* n PI) in n 2.766 * [taylor]: Taking taylor expansion of n in n 2.766 * [taylor]: Taking taylor expansion of PI in n 2.766 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.766 * [taylor]: Taking taylor expansion of 2.0 in n 2.766 * [taylor]: Taking taylor expansion of (* n PI) in n 2.766 * [taylor]: Taking taylor expansion of n in n 2.766 * [taylor]: Taking taylor expansion of PI in n 2.785 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.785 * [taylor]: Taking taylor expansion of 2.0 in n 2.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.786 * [taylor]: Taking taylor expansion of PI in n 2.786 * [taylor]: Taking taylor expansion of n in n 2.786 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.786 * [taylor]: Taking taylor expansion of 2.0 in n 2.786 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.786 * [taylor]: Taking taylor expansion of PI in n 2.786 * [taylor]: Taking taylor expansion of n in n 2.795 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.795 * [taylor]: Taking taylor expansion of -2.0 in n 2.795 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.795 * [taylor]: Taking taylor expansion of PI in n 2.795 * [taylor]: Taking taylor expansion of n in n 2.796 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.796 * [taylor]: Taking taylor expansion of -2.0 in n 2.796 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.796 * [taylor]: Taking taylor expansion of PI in n 2.796 * [taylor]: Taking taylor expansion of n in n 2.804 * * * [progress]: simplifying candidates 2.806 * [simplify]: Simplifying using # : (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ 1.0 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt 1.0) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1.0) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ 1.0 2.0) 2)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (- (pow (* +nan.0 PI) 0.5) (+ (* +nan.0 (* (pow (* (pow +nan.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow n 2)))) (- (* +nan.0 (* (pow (* (pow +nan.0 1.0) (pow PI 1.0)) 0.5) (/ 1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.813 * * [simplify]: iteration 0 : 502 enodes (cost 607 ) 2.823 * * [simplify]: iteration 1 : 2341 enodes (cost 489 ) 2.869 * * [simplify]: iteration 2 : 5002 enodes (cost 478 ) 2.872 * [simplify]: Simplified to: (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ 1.0 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt 1.0) (cbrt 1.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt 1.0) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt 1.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ 1.0 2))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (- (pow (* +nan.0 PI) 0.5) (- (/ (* +nan.0 (pow (* (pow +nan.0 1.0) (pow PI 1.0)) 0.5)) (pow n 2)) (/ (* +nan.0 (pow (* (pow +nan.0 1.0) (pow PI 1.0)) 0.5)) n))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* +nan.0 (+ (- (/ PI n)) (- (/ PI (pow n 2)) PI))) (* +nan.0 (+ (- (* (pow n 2) PI)) (- (* PI n) (* (pow n 3) PI)))) (* +nan.0 (+ (- (/ PI n)) (- (/ PI (pow n 2)) PI))) (* +nan.0 (+ (- (/ PI n)) (- (/ PI (pow n 2)) PI))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.872 * * * [progress]: adding candidates to table 3.138 * * [progress]: iteration 4 / 4 3.138 * * * [progress]: picking best candidate 3.168 * * * * [pick]: Picked # 3.168 * * * [progress]: localizing error 3.196 * * * [progress]: generating rewritten candidates 3.196 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1) 3.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 3.224 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.239 * * * [progress]: generating series expansions 3.239 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.240 * [approximate]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in (n) around 0 3.240 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.241 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.241 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.241 * [taylor]: Taking taylor expansion of 0.5 in n 3.241 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.241 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.241 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.241 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.241 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.241 * [taylor]: Taking taylor expansion of 1.0 in n 3.241 * [taylor]: Taking taylor expansion of (log PI) in n 3.241 * [taylor]: Taking taylor expansion of PI in n 3.243 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.243 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.243 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.243 * [taylor]: Taking taylor expansion of 1.0 in n 3.243 * [taylor]: Taking taylor expansion of (log n) in n 3.243 * [taylor]: Taking taylor expansion of n in n 3.243 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.244 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.244 * [taylor]: Taking taylor expansion of 1.0 in n 3.244 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.244 * [taylor]: Taking taylor expansion of 2.0 in n 3.249 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.249 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.249 * [taylor]: Taking taylor expansion of 0.5 in n 3.249 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.249 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.249 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.249 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.249 * [taylor]: Taking taylor expansion of 1.0 in n 3.249 * [taylor]: Taking taylor expansion of (log PI) in n 3.249 * [taylor]: Taking taylor expansion of PI in n 3.251 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.251 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.251 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.251 * [taylor]: Taking taylor expansion of 1.0 in n 3.251 * [taylor]: Taking taylor expansion of (log n) in n 3.251 * [taylor]: Taking taylor expansion of n in n 3.252 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.252 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.252 * [taylor]: Taking taylor expansion of 1.0 in n 3.252 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.252 * [taylor]: Taking taylor expansion of 2.0 in n 3.686 * [approximate]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in (n) around 0 3.686 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.686 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.686 * [taylor]: Taking taylor expansion of 0.5 in n 3.686 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.686 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.686 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.686 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.686 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.686 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.686 * [taylor]: Taking taylor expansion of 1.0 in n 3.686 * [taylor]: Taking taylor expansion of (log PI) in n 3.686 * [taylor]: Taking taylor expansion of PI in n 3.688 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.688 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.688 * [taylor]: Taking taylor expansion of 1.0 in n 3.688 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.688 * [taylor]: Taking taylor expansion of 2.0 in n 3.690 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.690 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.690 * [taylor]: Taking taylor expansion of 1.0 in n 3.690 * [taylor]: Taking taylor expansion of (log n) in n 3.690 * [taylor]: Taking taylor expansion of n in n 3.697 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 3.697 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 3.697 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 3.697 * [taylor]: Taking taylor expansion of 0.5 in n 3.697 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 3.697 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 3.697 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.697 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.697 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.697 * [taylor]: Taking taylor expansion of 1.0 in n 3.697 * [taylor]: Taking taylor expansion of (log PI) in n 3.697 * [taylor]: Taking taylor expansion of PI in n 3.699 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.699 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.699 * [taylor]: Taking taylor expansion of 1.0 in n 3.699 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.699 * [taylor]: Taking taylor expansion of 2.0 in n 3.701 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.701 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.701 * [taylor]: Taking taylor expansion of 1.0 in n 3.701 * [taylor]: Taking taylor expansion of (log n) in n 3.701 * [taylor]: Taking taylor expansion of n in n 3.963 * [approximate]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in (n) around 0 3.963 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 3.963 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 3.963 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.963 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.963 * [taylor]: Taking taylor expansion of 0.5 in n 3.963 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.963 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.963 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.963 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.963 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.963 * [taylor]: Taking taylor expansion of 1.0 in n 3.963 * [taylor]: Taking taylor expansion of (log PI) in n 3.963 * [taylor]: Taking taylor expansion of PI in n 3.965 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.965 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.965 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.965 * [taylor]: Taking taylor expansion of 1.0 in n 3.965 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.965 * [taylor]: Taking taylor expansion of 2.0 in n 3.985 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 3.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 3.985 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 3.985 * [taylor]: Taking taylor expansion of 1.0 in n 3.985 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 3.985 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 3.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 3.985 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 3.985 * [taylor]: Taking taylor expansion of 1.0 in n 3.985 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 3.985 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.985 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.985 * [taylor]: Taking taylor expansion of -1 in n 3.985 * [taylor]: Taking taylor expansion of n in n 3.992 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 3.992 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 3.992 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.992 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.992 * [taylor]: Taking taylor expansion of 0.5 in n 3.992 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.992 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.992 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.992 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.992 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.992 * [taylor]: Taking taylor expansion of 1.0 in n 3.992 * [taylor]: Taking taylor expansion of (log PI) in n 3.992 * [taylor]: Taking taylor expansion of PI in n 3.994 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.994 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.994 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.994 * [taylor]: Taking taylor expansion of 1.0 in n 3.994 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.994 * [taylor]: Taking taylor expansion of 2.0 in n 4.008 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 4.008 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 4.008 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 4.008 * [taylor]: Taking taylor expansion of 1.0 in n 4.008 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 4.008 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 4.008 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 4.008 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 4.008 * [taylor]: Taking taylor expansion of 1.0 in n 4.008 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 4.008 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.008 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.008 * [taylor]: Taking taylor expansion of -1 in n 4.008 * [taylor]: Taking taylor expansion of n in n 4.154 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1) 4.154 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 4.154 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.154 * [taylor]: Taking taylor expansion of 2.0 in n 4.154 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.154 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.154 * [taylor]: Taking taylor expansion of n in n 4.155 * [taylor]: Taking taylor expansion of PI in n 4.155 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.155 * [taylor]: Taking taylor expansion of 2.0 in n 4.155 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.155 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.155 * [taylor]: Taking taylor expansion of n in n 4.156 * [taylor]: Taking taylor expansion of PI in n 4.177 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 4.177 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.177 * [taylor]: Taking taylor expansion of 2.0 in n 4.177 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.177 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.177 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.177 * [taylor]: Taking taylor expansion of n in n 4.179 * [taylor]: Taking taylor expansion of PI in n 4.179 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.179 * [taylor]: Taking taylor expansion of 2.0 in n 4.179 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.179 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.179 * [taylor]: Taking taylor expansion of n in n 4.180 * [taylor]: Taking taylor expansion of PI in n 4.202 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 4.202 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.202 * [taylor]: Taking taylor expansion of 2.0 in n 4.202 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.202 * [taylor]: Taking taylor expansion of PI in n 4.202 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.202 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.202 * [taylor]: Taking taylor expansion of -1 in n 4.202 * [taylor]: Taking taylor expansion of n in n 4.203 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.203 * [taylor]: Taking taylor expansion of 2.0 in n 4.203 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.203 * [taylor]: Taking taylor expansion of PI in n 4.204 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.204 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.204 * [taylor]: Taking taylor expansion of -1 in n 4.204 * [taylor]: Taking taylor expansion of n in n 4.224 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 4.225 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.225 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.225 * [taylor]: Taking taylor expansion of 2.0 in n 4.225 * [taylor]: Taking taylor expansion of (* n PI) in n 4.225 * [taylor]: Taking taylor expansion of n in n 4.225 * [taylor]: Taking taylor expansion of PI in n 4.225 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.225 * [taylor]: Taking taylor expansion of 2.0 in n 4.225 * [taylor]: Taking taylor expansion of (* n PI) in n 4.225 * [taylor]: Taking taylor expansion of n in n 4.225 * [taylor]: Taking taylor expansion of PI in n 4.244 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.244 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.244 * [taylor]: Taking taylor expansion of 2.0 in n 4.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.244 * [taylor]: Taking taylor expansion of PI in n 4.244 * [taylor]: Taking taylor expansion of n in n 4.244 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.244 * [taylor]: Taking taylor expansion of 2.0 in n 4.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.244 * [taylor]: Taking taylor expansion of PI in n 4.244 * [taylor]: Taking taylor expansion of n in n 4.253 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.253 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.253 * [taylor]: Taking taylor expansion of -2.0 in n 4.253 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.253 * [taylor]: Taking taylor expansion of PI in n 4.253 * [taylor]: Taking taylor expansion of n in n 4.253 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.254 * [taylor]: Taking taylor expansion of -2.0 in n 4.254 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.254 * [taylor]: Taking taylor expansion of PI in n 4.254 * [taylor]: Taking taylor expansion of n in n 4.263 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.263 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 4.263 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.263 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.263 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.263 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.263 * [taylor]: Taking taylor expansion of 0.5 in k 4.263 * [taylor]: Taking taylor expansion of k in k 4.263 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.263 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.263 * [taylor]: Taking taylor expansion of 2.0 in k 4.263 * [taylor]: Taking taylor expansion of (* n PI) in k 4.263 * [taylor]: Taking taylor expansion of n in k 4.263 * [taylor]: Taking taylor expansion of PI in k 4.266 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.266 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.266 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.266 * [taylor]: Taking taylor expansion of 0.5 in n 4.266 * [taylor]: Taking taylor expansion of k in n 4.266 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.266 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.266 * [taylor]: Taking taylor expansion of 2.0 in n 4.266 * [taylor]: Taking taylor expansion of (* n PI) in n 4.266 * [taylor]: Taking taylor expansion of n in n 4.266 * [taylor]: Taking taylor expansion of PI in n 4.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.272 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.272 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.272 * [taylor]: Taking taylor expansion of 0.5 in n 4.272 * [taylor]: Taking taylor expansion of k in n 4.272 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.272 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.272 * [taylor]: Taking taylor expansion of 2.0 in n 4.272 * [taylor]: Taking taylor expansion of (* n PI) in n 4.272 * [taylor]: Taking taylor expansion of n in n 4.272 * [taylor]: Taking taylor expansion of PI in n 4.278 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 4.278 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 4.278 * [taylor]: Taking taylor expansion of 0.5 in k 4.278 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 4.278 * [taylor]: Taking taylor expansion of k in k 4.278 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.278 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.278 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.278 * [taylor]: Taking taylor expansion of 2.0 in k 4.278 * [taylor]: Taking taylor expansion of PI in k 4.279 * [taylor]: Taking taylor expansion of (log n) in k 4.279 * [taylor]: Taking taylor expansion of n in k 4.289 * [taylor]: Taking taylor expansion of 0 in k 4.298 * [taylor]: Taking taylor expansion of 0 in k 4.313 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 4.313 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.313 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.313 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.313 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.313 * [taylor]: Taking taylor expansion of 0.5 in k 4.313 * [taylor]: Taking taylor expansion of k in k 4.313 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.313 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.313 * [taylor]: Taking taylor expansion of 2.0 in k 4.313 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.313 * [taylor]: Taking taylor expansion of PI in k 4.313 * [taylor]: Taking taylor expansion of n in k 4.313 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.313 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.313 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.313 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.314 * [taylor]: Taking taylor expansion of 0.5 in n 4.314 * [taylor]: Taking taylor expansion of k in n 4.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.314 * [taylor]: Taking taylor expansion of 2.0 in n 4.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.314 * [taylor]: Taking taylor expansion of PI in n 4.314 * [taylor]: Taking taylor expansion of n in n 4.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.323 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.323 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.323 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.323 * [taylor]: Taking taylor expansion of 0.5 in n 4.323 * [taylor]: Taking taylor expansion of k in n 4.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.323 * [taylor]: Taking taylor expansion of 2.0 in n 4.323 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.324 * [taylor]: Taking taylor expansion of PI in n 4.324 * [taylor]: Taking taylor expansion of n in n 4.327 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 4.327 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 4.327 * [taylor]: Taking taylor expansion of 0.5 in k 4.327 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 4.327 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.327 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.327 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.327 * [taylor]: Taking taylor expansion of 2.0 in k 4.327 * [taylor]: Taking taylor expansion of PI in k 4.328 * [taylor]: Taking taylor expansion of (log n) in k 4.328 * [taylor]: Taking taylor expansion of n in k 4.328 * [taylor]: Taking taylor expansion of k in k 4.337 * [taylor]: Taking taylor expansion of 0 in k 4.343 * [taylor]: Taking taylor expansion of 0 in k 4.350 * [taylor]: Taking taylor expansion of 0 in k 4.352 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 4.352 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.352 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.352 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.352 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.352 * [taylor]: Taking taylor expansion of -0.5 in k 4.352 * [taylor]: Taking taylor expansion of k in k 4.352 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.352 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.352 * [taylor]: Taking taylor expansion of -2.0 in k 4.352 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.352 * [taylor]: Taking taylor expansion of PI in k 4.352 * [taylor]: Taking taylor expansion of n in k 4.352 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.352 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.352 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.352 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.353 * [taylor]: Taking taylor expansion of -0.5 in n 4.353 * [taylor]: Taking taylor expansion of k in n 4.353 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.353 * [taylor]: Taking taylor expansion of -2.0 in n 4.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.353 * [taylor]: Taking taylor expansion of PI in n 4.353 * [taylor]: Taking taylor expansion of n in n 4.356 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.356 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.356 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.356 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.356 * [taylor]: Taking taylor expansion of -0.5 in n 4.357 * [taylor]: Taking taylor expansion of k in n 4.357 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.357 * [taylor]: Taking taylor expansion of -2.0 in n 4.357 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.357 * [taylor]: Taking taylor expansion of PI in n 4.357 * [taylor]: Taking taylor expansion of n in n 4.360 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 4.360 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 4.360 * [taylor]: Taking taylor expansion of -0.5 in k 4.360 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 4.360 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.360 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.360 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.360 * [taylor]: Taking taylor expansion of -2.0 in k 4.360 * [taylor]: Taking taylor expansion of PI in k 4.361 * [taylor]: Taking taylor expansion of (log n) in k 4.361 * [taylor]: Taking taylor expansion of n in k 4.361 * [taylor]: Taking taylor expansion of k in k 4.369 * [taylor]: Taking taylor expansion of 0 in k 4.375 * [taylor]: Taking taylor expansion of 0 in k 4.384 * [taylor]: Taking taylor expansion of 0 in k 4.385 * * * [progress]: simplifying candidates 4.387 * [simplify]: Simplifying using # : (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (* (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (* (+ (log (* 2.0 PI)) (log (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (* (log (* (* 2.0 PI) (sqrt n))) (/ 1.0 2.0)) (log (pow (sqrt n) (/ 1.0 2.0)))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (log (sqrt n)) (/ 1.0 2.0))) (+ (log (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (log (pow (sqrt n) (/ 1.0 2.0)))) (log (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (exp (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (* (* (pow (sqrt n) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0)))) (* (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (* (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (* (cbrt (sqrt n)) (cbrt (sqrt n))) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (* (cbrt n) (cbrt n))) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt 1) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow 1 (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (cbrt (pow (sqrt n) (/ 1.0 2.0))) (cbrt (pow (sqrt n) (/ 1.0 2.0))))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) 1) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (sqrt n) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ 1.0 2.0))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (* (* 2.0 PI) 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 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (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) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 n))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (/ 1 (pow n 2))))))))) (- (+ (* +nan.0 (* (pow n 2) PI)) (- (+ (* +nan.0 (* n PI)) (- (* +nan.0 (* (pow n 3) PI))))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (- (+ (* +nan.0 (/ PI n)) (- (+ (* +nan.0 (/ PI (pow n 2))) (- (* +nan.0 PI)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.395 * * [simplify]: iteration 0 : 726 enodes (cost 1026 ) 4.408 * * [simplify]: iteration 1 : 3053 enodes (cost 874 ) 4.464 * * [simplify]: iteration 2 : 5002 enodes (cost 870 ) 4.469 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (* (/ 1.0 2.0) (log (* (* 2.0 PI) n))) (exp (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) 3) (* (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))))) (cbrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) 3) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (sqrt (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (* (cbrt (sqrt n)) (cbrt (sqrt n))) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (* (cbrt n) (cbrt n))) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt (sqrt n)) (/ 1.0 2.0))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (cbrt (pow (sqrt n) (/ 1.0 2.0))) (cbrt (pow (sqrt n) (/ 1.0 2.0))))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (sqrt (pow (sqrt n) (/ 1.0 2.0)))) (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ (/ 1.0 2.0) 2))) (pow (sqrt n) (* 2 (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (sqrt (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ 1.0 2.0)) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* (* 2.0 PI) (sqrt n)) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ 1.0 2.0))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (* (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (/ 1 n) (/ 1 (pow n 2)))) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) (+ (* +nan.0 (- (* PI n) (* (pow n 3) PI))) (- (* +nan.0 (* (pow n 2) PI)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ 1 (+ (+ (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* (* 0.5 k) (log (* (* 2.0 PI) n))))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.469 * * * [progress]: adding candidates to table 4.851 * [progress]: [Phase 3 of 3] Extracting. 4.851 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 4.854 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 4.854 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 4.899 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 4.925 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 4.969 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 5.014 * * * [regime]: Found split indices: #