13.365 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.178 * * * [progress]: [2/2] Setting up program. 0.181 * [progress]: [Phase 2 of 3] Improving. 0.181 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.187 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.189 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.191 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.194 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.199 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.222 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.223 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.223 * * [progress]: iteration 1 / 4 0.223 * * * [progress]: picking best candidate 0.225 * * * * [pick]: Picked # 0.226 * * * [progress]: localizing error 0.239 * * * [progress]: generating rewritten candidates 0.239 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.244 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.249 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.258 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.275 * * * [progress]: generating series expansions 0.275 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.275 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.275 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.275 * [taylor]: Taking taylor expansion of 1.0 in k 0.275 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.275 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.275 * [taylor]: Taking taylor expansion of k in k 0.277 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.277 * [taylor]: Taking taylor expansion of 1.0 in k 0.277 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.277 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.277 * [taylor]: Taking taylor expansion of k in k 0.288 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.289 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.289 * [taylor]: Taking taylor expansion of 1.0 in k 0.289 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.289 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.299 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.300 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.300 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.300 * [taylor]: Taking taylor expansion of -1 in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.301 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.301 * [taylor]: Taking taylor expansion of -1 in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.319 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.319 * [taylor]: Taking taylor expansion of 2.0 in n 0.319 * [taylor]: Taking taylor expansion of (* n PI) in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of PI in n 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.319 * [taylor]: Taking taylor expansion of 2.0 in n 0.319 * [taylor]: Taking taylor expansion of (* n PI) in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.319 * [taylor]: Taking taylor expansion of PI in n 0.331 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.331 * [taylor]: Taking taylor expansion of 2.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.331 * [taylor]: Taking taylor expansion of PI in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.331 * [taylor]: Taking taylor expansion of 2.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.332 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.340 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of -2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of -2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.349 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.350 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.350 * [taylor]: Taking taylor expansion of 0.5 in k 0.350 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.350 * [taylor]: Taking taylor expansion of 1.0 in k 0.350 * [taylor]: Taking taylor expansion of k in k 0.350 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.350 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.350 * [taylor]: Taking taylor expansion of 2.0 in k 0.350 * [taylor]: Taking taylor expansion of (* n PI) in k 0.350 * [taylor]: Taking taylor expansion of n in k 0.350 * [taylor]: Taking taylor expansion of PI in k 0.351 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.351 * [taylor]: Taking taylor expansion of 0.5 in n 0.351 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.351 * [taylor]: Taking taylor expansion of 1.0 in n 0.351 * [taylor]: Taking taylor expansion of k in n 0.351 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.351 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.351 * [taylor]: Taking taylor expansion of 2.0 in n 0.351 * [taylor]: Taking taylor expansion of (* n PI) in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of PI in n 0.356 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.357 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.357 * [taylor]: Taking taylor expansion of 0.5 in n 0.357 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.357 * [taylor]: Taking taylor expansion of 1.0 in n 0.357 * [taylor]: Taking taylor expansion of k in n 0.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.357 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.357 * [taylor]: Taking taylor expansion of 2.0 in n 0.357 * [taylor]: Taking taylor expansion of (* n PI) in n 0.357 * [taylor]: Taking taylor expansion of n in n 0.357 * [taylor]: Taking taylor expansion of PI in n 0.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.362 * [taylor]: Taking taylor expansion of 0.5 in k 0.362 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.362 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.362 * [taylor]: Taking taylor expansion of 1.0 in k 0.362 * [taylor]: Taking taylor expansion of k in k 0.362 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.362 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.362 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.362 * [taylor]: Taking taylor expansion of 2.0 in k 0.362 * [taylor]: Taking taylor expansion of PI in k 0.363 * [taylor]: Taking taylor expansion of (log n) in k 0.363 * [taylor]: Taking taylor expansion of n in k 0.372 * [taylor]: Taking taylor expansion of 0 in k 0.388 * [taylor]: Taking taylor expansion of 0 in k 0.412 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.413 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.413 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.413 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.413 * [taylor]: Taking taylor expansion of 0.5 in k 0.413 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.413 * [taylor]: Taking taylor expansion of 1.0 in k 0.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.413 * [taylor]: Taking taylor expansion of k in k 0.413 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.413 * [taylor]: Taking taylor expansion of 2.0 in k 0.413 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.413 * [taylor]: Taking taylor expansion of PI in k 0.413 * [taylor]: Taking taylor expansion of n in k 0.414 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.414 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.414 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.414 * [taylor]: Taking taylor expansion of 0.5 in n 0.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.414 * [taylor]: Taking taylor expansion of 1.0 in n 0.414 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.414 * [taylor]: Taking taylor expansion of k in n 0.414 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.414 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.414 * [taylor]: Taking taylor expansion of 2.0 in n 0.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.414 * [taylor]: Taking taylor expansion of PI in n 0.414 * [taylor]: Taking taylor expansion of n in n 0.418 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.418 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.418 * [taylor]: Taking taylor expansion of 0.5 in n 0.418 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.418 * [taylor]: Taking taylor expansion of 1.0 in n 0.418 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.418 * [taylor]: Taking taylor expansion of k in n 0.418 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.418 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.418 * [taylor]: Taking taylor expansion of 2.0 in n 0.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.418 * [taylor]: Taking taylor expansion of PI in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.422 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.422 * [taylor]: Taking taylor expansion of 0.5 in k 0.422 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.422 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.422 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.422 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.422 * [taylor]: Taking taylor expansion of 2.0 in k 0.422 * [taylor]: Taking taylor expansion of PI in k 0.423 * [taylor]: Taking taylor expansion of (log n) in k 0.423 * [taylor]: Taking taylor expansion of n in k 0.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.423 * [taylor]: Taking taylor expansion of 1.0 in k 0.423 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.423 * [taylor]: Taking taylor expansion of k in k 0.433 * [taylor]: Taking taylor expansion of 0 in k 0.440 * [taylor]: Taking taylor expansion of 0 in k 0.449 * [taylor]: Taking taylor expansion of 0 in k 0.450 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.450 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.450 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.450 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.450 * [taylor]: Taking taylor expansion of 0.5 in k 0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.450 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.450 * [taylor]: Taking taylor expansion of k in k 0.451 * [taylor]: Taking taylor expansion of 1.0 in k 0.451 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.451 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.451 * [taylor]: Taking taylor expansion of -2.0 in k 0.451 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.451 * [taylor]: Taking taylor expansion of PI in k 0.451 * [taylor]: Taking taylor expansion of n in k 0.451 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.451 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.452 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.452 * [taylor]: Taking taylor expansion of 0.5 in n 0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.452 * [taylor]: Taking taylor expansion of k in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.452 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.452 * [taylor]: Taking taylor expansion of -2.0 in n 0.452 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.452 * [taylor]: Taking taylor expansion of PI in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.455 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.455 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.455 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.455 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.455 * [taylor]: Taking taylor expansion of 0.5 in n 0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.455 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.455 * [taylor]: Taking taylor expansion of k in n 0.455 * [taylor]: Taking taylor expansion of 1.0 in n 0.455 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.455 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.455 * [taylor]: Taking taylor expansion of -2.0 in n 0.456 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.456 * [taylor]: Taking taylor expansion of PI in n 0.456 * [taylor]: Taking taylor expansion of n in n 0.459 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.459 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.459 * [taylor]: Taking taylor expansion of 0.5 in k 0.459 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.459 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.459 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.459 * [taylor]: Taking taylor expansion of k in k 0.459 * [taylor]: Taking taylor expansion of 1.0 in k 0.460 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.460 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.460 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.460 * [taylor]: Taking taylor expansion of -2.0 in k 0.460 * [taylor]: Taking taylor expansion of PI in k 0.461 * [taylor]: Taking taylor expansion of (log n) in k 0.461 * [taylor]: Taking taylor expansion of n in k 0.469 * [taylor]: Taking taylor expansion of 0 in k 0.476 * [taylor]: Taking taylor expansion of 0 in k 0.491 * [taylor]: Taking taylor expansion of 0 in k 0.492 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.493 * [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 0.493 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.493 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.493 * [taylor]: Taking taylor expansion of k in n 0.493 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.493 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.493 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.493 * [taylor]: Taking taylor expansion of 0.5 in n 0.493 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.493 * [taylor]: Taking taylor expansion of 1.0 in n 0.493 * [taylor]: Taking taylor expansion of k in n 0.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.493 * [taylor]: Taking taylor expansion of 2.0 in n 0.493 * [taylor]: Taking taylor expansion of (* n PI) in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.493 * [taylor]: Taking taylor expansion of PI in n 0.498 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.498 * [taylor]: Taking taylor expansion of 1.0 in k 0.498 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.498 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.499 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.499 * [taylor]: Taking taylor expansion of k in k 0.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.500 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.500 * [taylor]: Taking taylor expansion of 0.5 in k 0.500 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.500 * [taylor]: Taking taylor expansion of 1.0 in k 0.500 * [taylor]: Taking taylor expansion of k in k 0.500 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.500 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.500 * [taylor]: Taking taylor expansion of 2.0 in k 0.500 * [taylor]: Taking taylor expansion of (* n PI) in k 0.500 * [taylor]: Taking taylor expansion of n in k 0.500 * [taylor]: Taking taylor expansion of PI in k 0.501 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.501 * [taylor]: Taking taylor expansion of 1.0 in k 0.501 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) 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 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.502 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.502 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.502 * [taylor]: Taking taylor expansion of 0.5 in k 0.502 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.502 * [taylor]: Taking taylor expansion of 1.0 in k 0.502 * [taylor]: Taking taylor expansion of k in k 0.502 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.502 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.503 * [taylor]: Taking taylor expansion of 2.0 in k 0.503 * [taylor]: Taking taylor expansion of (* n PI) in k 0.503 * [taylor]: Taking taylor expansion of n in k 0.503 * [taylor]: Taking taylor expansion of PI in k 0.504 * [taylor]: Taking taylor expansion of 0 in n 0.509 * [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 0.509 * [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 0.509 * [taylor]: Taking taylor expansion of +nan.0 in n 0.509 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.509 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.509 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.509 * [taylor]: Taking taylor expansion of 0.5 in n 0.509 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.509 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.509 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.510 * [taylor]: Taking taylor expansion of 1.0 in n 0.510 * [taylor]: Taking taylor expansion of (log PI) in n 0.510 * [taylor]: Taking taylor expansion of PI in n 0.511 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.512 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log n) in n 0.512 * [taylor]: Taking taylor expansion of n in n 0.512 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.512 * [taylor]: Taking taylor expansion of 2.0 in n 0.531 * [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 0.531 * [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 0.531 * [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 0.531 * [taylor]: Taking taylor expansion of +nan.0 in n 0.531 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.531 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.531 * [taylor]: Taking taylor expansion of 0.5 in n 0.531 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.531 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.531 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (log PI) in n 0.531 * [taylor]: Taking taylor expansion of PI in n 0.533 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.533 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.533 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.533 * [taylor]: Taking taylor expansion of 1.0 in n 0.533 * [taylor]: Taking taylor expansion of (log n) in n 0.533 * [taylor]: Taking taylor expansion of n in n 0.534 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.534 * [taylor]: Taking taylor expansion of 2.0 in n 0.539 * [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 0.539 * [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 0.539 * [taylor]: Taking taylor expansion of +nan.0 in n 0.539 * [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 0.539 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.539 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.539 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.539 * [taylor]: Taking taylor expansion of 0.5 in n 0.539 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.539 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.539 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.540 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.540 * [taylor]: Taking taylor expansion of 1.0 in n 0.540 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.540 * [taylor]: Taking taylor expansion of 2.0 in n 0.541 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.541 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.541 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.541 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.541 * [taylor]: Taking taylor expansion of 1.0 in n 0.541 * [taylor]: Taking taylor expansion of (log PI) in n 0.541 * [taylor]: Taking taylor expansion of PI in n 0.543 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.543 * [taylor]: Taking taylor expansion of 1.0 in n 0.543 * [taylor]: Taking taylor expansion of (log n) in n 0.543 * [taylor]: Taking taylor expansion of n in n 0.547 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.547 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.547 * [taylor]: Taking taylor expansion of 2.0 in n 0.547 * [taylor]: Taking taylor expansion of (* n PI) in n 0.547 * [taylor]: Taking taylor expansion of n in n 0.547 * [taylor]: Taking taylor expansion of PI in n 0.603 * [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 0.603 * [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 0.603 * [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 0.603 * [taylor]: Taking taylor expansion of +nan.0 in n 0.604 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.604 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.604 * [taylor]: Taking taylor expansion of 0.5 in n 0.604 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.604 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.604 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.604 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.604 * [taylor]: Taking taylor expansion of 1.0 in n 0.604 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.604 * [taylor]: Taking taylor expansion of 2.0 in n 0.605 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.605 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.605 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.605 * [taylor]: Taking taylor expansion of 1.0 in n 0.605 * [taylor]: Taking taylor expansion of (log n) in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.606 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.606 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.606 * [taylor]: Taking taylor expansion of 1.0 in n 0.606 * [taylor]: Taking taylor expansion of (log PI) in n 0.606 * [taylor]: Taking taylor expansion of PI in n 0.611 * [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 0.611 * [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 0.611 * [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 0.612 * [taylor]: Taking taylor expansion of +nan.0 in n 0.612 * [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 0.612 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.612 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.612 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.612 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.612 * [taylor]: Taking taylor expansion of 2.0 in n 0.613 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.613 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.613 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.613 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.614 * [taylor]: Taking taylor expansion of 1.0 in n 0.614 * [taylor]: Taking taylor expansion of (log PI) in n 0.614 * [taylor]: Taking taylor expansion of PI in n 0.615 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.615 * [taylor]: Taking taylor expansion of 1.0 in n 0.615 * [taylor]: Taking taylor expansion of (log n) in n 0.615 * [taylor]: Taking taylor expansion of n in n 0.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.619 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.620 * [taylor]: Taking taylor expansion of 2.0 in n 0.620 * [taylor]: Taking taylor expansion of (* n PI) in n 0.620 * [taylor]: Taking taylor expansion of n in n 0.620 * [taylor]: Taking taylor expansion of PI in n 0.622 * [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 0.622 * [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 0.623 * [taylor]: Taking taylor expansion of +nan.0 in n 0.623 * [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 0.623 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.623 * [taylor]: Taking taylor expansion of 0.5 in n 0.623 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.623 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.623 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.623 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.623 * [taylor]: Taking taylor expansion of 1.0 in n 0.623 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.623 * [taylor]: Taking taylor expansion of 2.0 in n 0.624 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.624 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.625 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.625 * [taylor]: Taking taylor expansion of 1.0 in n 0.625 * [taylor]: Taking taylor expansion of (log PI) in n 0.625 * [taylor]: Taking taylor expansion of PI in n 0.626 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.626 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [taylor]: Taking taylor expansion of (log n) in n 0.626 * [taylor]: Taking taylor expansion of n in n 0.630 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.631 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.631 * [taylor]: Taking taylor expansion of 2.0 in n 0.631 * [taylor]: Taking taylor expansion of (* n PI) in n 0.631 * [taylor]: Taking taylor expansion of n in n 0.631 * [taylor]: Taking taylor expansion of PI in n 0.710 * [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 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.710 * [taylor]: Taking taylor expansion of 1.0 in n 0.710 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.710 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.710 * [taylor]: Taking taylor expansion of k in n 0.710 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.710 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.710 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.710 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.710 * [taylor]: Taking taylor expansion of 0.5 in n 0.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.710 * [taylor]: Taking taylor expansion of 1.0 in n 0.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.710 * [taylor]: Taking taylor expansion of k in n 0.710 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.710 * [taylor]: Taking taylor expansion of 2.0 in n 0.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.710 * [taylor]: Taking taylor expansion of PI in n 0.710 * [taylor]: Taking taylor expansion of n in n 0.714 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.714 * [taylor]: Taking taylor expansion of 1.0 in k 0.714 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.714 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.714 * [taylor]: Taking taylor expansion of k in k 0.715 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.715 * [taylor]: Taking taylor expansion of 0.5 in k 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.715 * [taylor]: Taking taylor expansion of 1.0 in k 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.715 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.716 * [taylor]: Taking taylor expansion of 2.0 in k 0.716 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.716 * [taylor]: Taking taylor expansion of PI in k 0.716 * [taylor]: Taking taylor expansion of n in k 0.717 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.717 * [taylor]: Taking taylor expansion of 1.0 in k 0.717 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.717 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.717 * [taylor]: Taking taylor expansion of k in k 0.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.718 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.718 * [taylor]: Taking taylor expansion of 0.5 in k 0.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.718 * [taylor]: Taking taylor expansion of 1.0 in k 0.718 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.718 * [taylor]: Taking taylor expansion of k in k 0.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.718 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.718 * [taylor]: Taking taylor expansion of 2.0 in k 0.718 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.718 * [taylor]: Taking taylor expansion of PI in k 0.718 * [taylor]: Taking taylor expansion of n in k 0.720 * [taylor]: Taking taylor expansion of 0 in n 0.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.721 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.721 * [taylor]: Taking taylor expansion of +nan.0 in n 0.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.721 * [taylor]: Taking taylor expansion of 0.5 in n 0.721 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.721 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.721 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.721 * [taylor]: Taking taylor expansion of 2.0 in n 0.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.721 * [taylor]: Taking taylor expansion of PI in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.722 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.722 * [taylor]: Taking taylor expansion of 1.0 in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.722 * [taylor]: Taking taylor expansion of k in n 0.731 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.731 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.731 * [taylor]: Taking taylor expansion of +nan.0 in n 0.731 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.731 * [taylor]: Taking taylor expansion of 0.5 in n 0.731 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.731 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.731 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.731 * [taylor]: Taking taylor expansion of 2.0 in n 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.731 * [taylor]: Taking taylor expansion of PI in n 0.731 * [taylor]: Taking taylor expansion of n in n 0.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.732 * [taylor]: Taking taylor expansion of 1.0 in n 0.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.732 * [taylor]: Taking taylor expansion of k in n 0.754 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.754 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.754 * [taylor]: Taking taylor expansion of +nan.0 in n 0.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.754 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.754 * [taylor]: Taking taylor expansion of 0.5 in n 0.754 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.754 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.754 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.754 * [taylor]: Taking taylor expansion of 2.0 in n 0.754 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.754 * [taylor]: Taking taylor expansion of PI in n 0.754 * [taylor]: Taking taylor expansion of n in n 0.755 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.755 * [taylor]: Taking taylor expansion of 1.0 in n 0.755 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.756 * [taylor]: Taking taylor expansion of k in n 0.764 * [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 0.764 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.764 * [taylor]: Taking taylor expansion of 1.0 in n 0.764 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.764 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.764 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.764 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.764 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.764 * [taylor]: Taking taylor expansion of 0.5 in n 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.764 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.764 * [taylor]: Taking taylor expansion of k in n 0.764 * [taylor]: Taking taylor expansion of 1.0 in n 0.764 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.764 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.764 * [taylor]: Taking taylor expansion of -2.0 in n 0.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.764 * [taylor]: Taking taylor expansion of PI in n 0.764 * [taylor]: Taking taylor expansion of n in n 0.768 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.768 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.768 * [taylor]: Taking taylor expansion of -1 in n 0.768 * [taylor]: Taking taylor expansion of k in n 0.769 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.769 * [taylor]: Taking taylor expansion of 1.0 in k 0.769 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.769 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.769 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.769 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.769 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.769 * [taylor]: Taking taylor expansion of 0.5 in k 0.769 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.769 * [taylor]: Taking taylor expansion of k in k 0.769 * [taylor]: Taking taylor expansion of 1.0 in k 0.769 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.770 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.770 * [taylor]: Taking taylor expansion of -2.0 in k 0.770 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.770 * [taylor]: Taking taylor expansion of PI in k 0.770 * [taylor]: Taking taylor expansion of n in k 0.770 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.770 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.770 * [taylor]: Taking taylor expansion of -1 in k 0.770 * [taylor]: Taking taylor expansion of k in k 0.772 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.772 * [taylor]: Taking taylor expansion of 1.0 in k 0.772 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.772 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.772 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.772 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.772 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.772 * [taylor]: Taking taylor expansion of 0.5 in k 0.772 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.772 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.772 * [taylor]: Taking taylor expansion of k in k 0.772 * [taylor]: Taking taylor expansion of 1.0 in k 0.772 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.772 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.772 * [taylor]: Taking taylor expansion of -2.0 in k 0.772 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.772 * [taylor]: Taking taylor expansion of PI in k 0.772 * [taylor]: Taking taylor expansion of n in k 0.773 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.773 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.773 * [taylor]: Taking taylor expansion of -1 in k 0.773 * [taylor]: Taking taylor expansion of k in k 0.775 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.775 * [taylor]: Taking taylor expansion of +nan.0 in n 0.775 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.775 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.775 * [taylor]: Taking taylor expansion of 0.5 in n 0.775 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.775 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.775 * [taylor]: Taking taylor expansion of k in n 0.775 * [taylor]: Taking taylor expansion of 1.0 in n 0.775 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.775 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.775 * [taylor]: Taking taylor expansion of -2.0 in n 0.775 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.775 * [taylor]: Taking taylor expansion of PI in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.784 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.784 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.784 * [taylor]: Taking taylor expansion of +nan.0 in n 0.784 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.784 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.784 * [taylor]: Taking taylor expansion of 0.5 in n 0.784 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.784 * [taylor]: Taking taylor expansion of k in n 0.784 * [taylor]: Taking taylor expansion of 1.0 in n 0.784 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.784 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.784 * [taylor]: Taking taylor expansion of -2.0 in n 0.784 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.784 * [taylor]: Taking taylor expansion of PI in n 0.784 * [taylor]: Taking taylor expansion of n in n 0.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.802 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.802 * [taylor]: Taking taylor expansion of +nan.0 in n 0.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.802 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.802 * [taylor]: Taking taylor expansion of 0.5 in n 0.802 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.802 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.802 * [taylor]: Taking taylor expansion of k in n 0.802 * [taylor]: Taking taylor expansion of 1.0 in n 0.802 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.802 * [taylor]: Taking taylor expansion of -2.0 in n 0.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.811 * * * [progress]: simplifying candidates 0.814 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 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) (* (* 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)) (/ (- 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)) (+ (- (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 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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))) (+ (- (* +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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 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)))))) (+ (- (* +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)))) 0.912 * * * [progress]: adding candidates to table 1.280 * * [progress]: iteration 2 / 4 1.280 * * * [progress]: picking best candidate 1.308 * * * * [pick]: Picked # 1.308 * * * [progress]: localizing error 1.326 * * * [progress]: generating rewritten candidates 1.326 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.337 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.342 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.347 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.360 * * * [progress]: generating series expansions 1.360 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.361 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.361 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.361 * [taylor]: Taking taylor expansion of 1.0 in k 1.361 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.361 * [taylor]: Taking taylor expansion of k in k 1.363 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.363 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.363 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.363 * [taylor]: Taking taylor expansion of 0.5 in k 1.363 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.363 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.363 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.363 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.363 * [taylor]: Taking taylor expansion of 1.0 in k 1.363 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.363 * [taylor]: Taking taylor expansion of 2.0 in k 1.365 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.365 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.365 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.365 * [taylor]: Taking taylor expansion of 1.0 in k 1.365 * [taylor]: Taking taylor expansion of (log n) in k 1.365 * [taylor]: Taking taylor expansion of n in k 1.365 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.365 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.365 * [taylor]: Taking taylor expansion of 1.0 in k 1.365 * [taylor]: Taking taylor expansion of (log PI) in k 1.365 * [taylor]: Taking taylor expansion of PI in k 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.370 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.371 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.371 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.371 * [taylor]: Taking taylor expansion of 0.5 in k 1.371 * [taylor]: Taking taylor expansion of k in k 1.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.371 * [taylor]: Taking taylor expansion of 2.0 in k 1.371 * [taylor]: Taking taylor expansion of (* n PI) in k 1.371 * [taylor]: Taking taylor expansion of n in k 1.371 * [taylor]: Taking taylor expansion of PI in k 1.374 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.374 * [taylor]: Taking taylor expansion of 1.0 in n 1.374 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.374 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.374 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.374 * [taylor]: Taking taylor expansion of k in n 1.374 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.374 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.374 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.374 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.374 * [taylor]: Taking taylor expansion of 0.5 in n 1.374 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.374 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.374 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.374 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.374 * [taylor]: Taking taylor expansion of 1.0 in n 1.374 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.374 * [taylor]: Taking taylor expansion of 2.0 in n 1.376 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.376 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.376 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.376 * [taylor]: Taking taylor expansion of 1.0 in n 1.376 * [taylor]: Taking taylor expansion of (log n) in n 1.376 * [taylor]: Taking taylor expansion of n in n 1.377 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.377 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.377 * [taylor]: Taking taylor expansion of 1.0 in n 1.377 * [taylor]: Taking taylor expansion of (log PI) in n 1.377 * [taylor]: Taking taylor expansion of PI in n 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.388 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.388 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.388 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.388 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.388 * [taylor]: Taking taylor expansion of 0.5 in n 1.388 * [taylor]: Taking taylor expansion of k in n 1.388 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.388 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.388 * [taylor]: Taking taylor expansion of 2.0 in n 1.388 * [taylor]: Taking taylor expansion of (* n PI) in n 1.388 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of PI in n 1.394 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.394 * [taylor]: Taking taylor expansion of 1.0 in n 1.394 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.394 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.394 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.394 * [taylor]: Taking taylor expansion of k in n 1.394 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.394 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.394 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.394 * [taylor]: Taking taylor expansion of 0.5 in n 1.394 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.394 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.394 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.394 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.394 * [taylor]: Taking taylor expansion of 1.0 in n 1.394 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.394 * [taylor]: Taking taylor expansion of 2.0 in n 1.396 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.396 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.396 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.396 * [taylor]: Taking taylor expansion of 1.0 in n 1.396 * [taylor]: Taking taylor expansion of (log n) in n 1.396 * [taylor]: Taking taylor expansion of n in n 1.396 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.397 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.397 * [taylor]: Taking taylor expansion of 1.0 in n 1.397 * [taylor]: Taking taylor expansion of (log PI) in n 1.397 * [taylor]: Taking taylor expansion of PI in n 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.402 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.402 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.402 * [taylor]: Taking taylor expansion of 0.5 in n 1.402 * [taylor]: Taking taylor expansion of k in n 1.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.402 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.402 * [taylor]: Taking taylor expansion of 2.0 in n 1.402 * [taylor]: Taking taylor expansion of (* n PI) in n 1.402 * [taylor]: Taking taylor expansion of n in n 1.402 * [taylor]: Taking taylor expansion of PI in n 1.413 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.413 * [taylor]: Taking taylor expansion of 1.0 in k 1.413 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.413 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.413 * [taylor]: Taking taylor expansion of k in k 1.415 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.415 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.415 * [taylor]: Taking taylor expansion of 0.5 in k 1.415 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.415 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.415 * [taylor]: Taking taylor expansion of 1.0 in k 1.415 * [taylor]: Taking taylor expansion of (log PI) in k 1.415 * [taylor]: Taking taylor expansion of PI in k 1.417 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.417 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.417 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.417 * [taylor]: Taking taylor expansion of 1.0 in k 1.417 * [taylor]: Taking taylor expansion of (log n) in k 1.417 * [taylor]: Taking taylor expansion of n in k 1.417 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.417 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.417 * [taylor]: Taking taylor expansion of 1.0 in k 1.417 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.417 * [taylor]: Taking taylor expansion of 2.0 in k 1.422 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.422 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.422 * [taylor]: Taking taylor expansion of 0.5 in k 1.422 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.422 * [taylor]: Taking taylor expansion of k in k 1.422 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.422 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.422 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.422 * [taylor]: Taking taylor expansion of 2.0 in k 1.422 * [taylor]: Taking taylor expansion of PI in k 1.423 * [taylor]: Taking taylor expansion of (log n) in k 1.423 * [taylor]: Taking taylor expansion of n in k 1.452 * [taylor]: Taking taylor expansion of 0 in k 1.510 * [taylor]: Taking taylor expansion of 0 in k 1.607 * [taylor]: Taking taylor expansion of 0 in k 1.728 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.729 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.729 * [taylor]: Taking taylor expansion of 1.0 in k 1.729 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.729 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.729 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.730 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.730 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.730 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.730 * [taylor]: Taking taylor expansion of 0.5 in k 1.730 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.730 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.730 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.730 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.730 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.730 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.730 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.730 * [taylor]: Taking taylor expansion of 2.0 in k 1.732 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.732 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.732 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.732 * [taylor]: Taking taylor expansion of 1.0 in k 1.732 * [taylor]: Taking taylor expansion of (log PI) in k 1.732 * [taylor]: Taking taylor expansion of PI in k 1.734 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.734 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.734 * [taylor]: Taking taylor expansion of 1.0 in k 1.734 * [taylor]: Taking taylor expansion of (log n) in k 1.734 * [taylor]: Taking taylor expansion of n in k 1.740 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.740 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.740 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.740 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.740 * [taylor]: Taking taylor expansion of 0.5 in k 1.740 * [taylor]: Taking taylor expansion of k in k 1.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.741 * [taylor]: Taking taylor expansion of 2.0 in k 1.741 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.741 * [taylor]: Taking taylor expansion of PI in k 1.741 * [taylor]: Taking taylor expansion of n in k 1.741 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.741 * [taylor]: Taking taylor expansion of 1.0 in n 1.741 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.741 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.741 * [taylor]: Taking taylor expansion of k in n 1.741 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.741 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.741 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.741 * [taylor]: Taking taylor expansion of 0.5 in n 1.741 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.741 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.741 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.741 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.741 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.741 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.741 * [taylor]: Taking taylor expansion of 1.0 in n 1.741 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.741 * [taylor]: Taking taylor expansion of 2.0 in n 1.743 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.743 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.743 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.743 * [taylor]: Taking taylor expansion of 1.0 in n 1.743 * [taylor]: Taking taylor expansion of (log PI) in n 1.743 * [taylor]: Taking taylor expansion of PI in n 1.745 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.745 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.745 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.745 * [taylor]: Taking taylor expansion of 1.0 in n 1.745 * [taylor]: Taking taylor expansion of (log n) in n 1.745 * [taylor]: Taking taylor expansion of n in n 1.752 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.752 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.752 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.752 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.752 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.752 * [taylor]: Taking taylor expansion of 0.5 in n 1.752 * [taylor]: Taking taylor expansion of k in n 1.752 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.752 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.752 * [taylor]: Taking taylor expansion of 2.0 in n 1.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.752 * [taylor]: Taking taylor expansion of PI in n 1.752 * [taylor]: Taking taylor expansion of n in n 1.756 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.756 * [taylor]: Taking taylor expansion of 1.0 in n 1.756 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.756 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.756 * [taylor]: Taking taylor expansion of k in n 1.756 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.756 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.756 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.756 * [taylor]: Taking taylor expansion of 0.5 in n 1.756 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.756 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.756 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.756 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.757 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.757 * [taylor]: Taking taylor expansion of 1.0 in n 1.757 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.757 * [taylor]: Taking taylor expansion of 2.0 in n 1.758 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.758 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.758 * [taylor]: Taking taylor expansion of 1.0 in n 1.758 * [taylor]: Taking taylor expansion of (log PI) in n 1.758 * [taylor]: Taking taylor expansion of PI in n 1.760 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.760 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.760 * [taylor]: Taking taylor expansion of 1.0 in n 1.760 * [taylor]: Taking taylor expansion of (log n) in n 1.760 * [taylor]: Taking taylor expansion of n in n 1.767 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.767 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.767 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.767 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.767 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.767 * [taylor]: Taking taylor expansion of 0.5 in n 1.767 * [taylor]: Taking taylor expansion of k in n 1.767 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.767 * [taylor]: Taking taylor expansion of 2.0 in n 1.767 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.767 * [taylor]: Taking taylor expansion of PI in n 1.767 * [taylor]: Taking taylor expansion of n in n 1.778 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.778 * [taylor]: Taking taylor expansion of 1.0 in k 1.778 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.778 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.778 * [taylor]: Taking taylor expansion of k in k 1.780 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.780 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.780 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.780 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.780 * [taylor]: Taking taylor expansion of 0.5 in k 1.780 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.780 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.780 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.780 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.780 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.780 * [taylor]: Taking taylor expansion of 1.0 in k 1.780 * [taylor]: Taking taylor expansion of (log PI) in k 1.780 * [taylor]: Taking taylor expansion of PI in k 1.782 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.782 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.782 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.782 * [taylor]: Taking taylor expansion of 1.0 in k 1.782 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.782 * [taylor]: Taking taylor expansion of 2.0 in k 1.783 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.783 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.783 * [taylor]: Taking taylor expansion of 1.0 in k 1.783 * [taylor]: Taking taylor expansion of (log n) in k 1.783 * [taylor]: Taking taylor expansion of n in k 1.790 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.790 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.790 * [taylor]: Taking taylor expansion of 0.5 in k 1.790 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.790 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.790 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.790 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.790 * [taylor]: Taking taylor expansion of 2.0 in k 1.790 * [taylor]: Taking taylor expansion of PI in k 1.791 * [taylor]: Taking taylor expansion of (log n) in k 1.791 * [taylor]: Taking taylor expansion of n in k 1.791 * [taylor]: Taking taylor expansion of k in k 1.830 * [taylor]: Taking taylor expansion of 0 in k 1.887 * [taylor]: Taking taylor expansion of 0 in k 1.970 * [taylor]: Taking taylor expansion of 0 in k 2.029 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.029 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.029 * [taylor]: Taking taylor expansion of 1.0 in k 2.029 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.029 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.029 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.029 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.029 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.029 * [taylor]: Taking taylor expansion of -1 in k 2.029 * [taylor]: Taking taylor expansion of k in k 2.030 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.030 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.030 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.030 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.030 * [taylor]: Taking taylor expansion of -0.5 in k 2.030 * [taylor]: Taking taylor expansion of k in k 2.031 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.031 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.031 * [taylor]: Taking taylor expansion of -2.0 in k 2.031 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.031 * [taylor]: Taking taylor expansion of PI in k 2.031 * [taylor]: Taking taylor expansion of n in k 2.031 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.031 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.032 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.032 * [taylor]: Taking taylor expansion of 0.5 in k 2.032 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.032 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.032 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.032 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.032 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.032 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.032 * [taylor]: Taking taylor expansion of 1.0 in k 2.032 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.032 * [taylor]: Taking taylor expansion of -2.0 in k 2.033 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.033 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.033 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.033 * [taylor]: Taking taylor expansion of 1.0 in k 2.034 * [taylor]: Taking taylor expansion of (log PI) in k 2.034 * [taylor]: Taking taylor expansion of PI in k 2.035 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.035 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.035 * [taylor]: Taking taylor expansion of 1.0 in k 2.035 * [taylor]: Taking taylor expansion of (log n) in k 2.035 * [taylor]: Taking taylor expansion of n in k 2.042 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.042 * [taylor]: Taking taylor expansion of 1.0 in n 2.042 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.042 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.042 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.042 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.042 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.042 * [taylor]: Taking taylor expansion of -1 in n 2.042 * [taylor]: Taking taylor expansion of k in n 2.042 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.042 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.042 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.042 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.042 * [taylor]: Taking taylor expansion of -0.5 in n 2.042 * [taylor]: Taking taylor expansion of k in n 2.042 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.042 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.042 * [taylor]: Taking taylor expansion of -2.0 in n 2.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.042 * [taylor]: Taking taylor expansion of PI in n 2.042 * [taylor]: Taking taylor expansion of n in n 2.047 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.047 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.047 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.047 * [taylor]: Taking taylor expansion of 0.5 in n 2.047 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.047 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.047 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.047 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.047 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.047 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.047 * [taylor]: Taking taylor expansion of 1.0 in n 2.047 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.047 * [taylor]: Taking taylor expansion of -2.0 in n 2.049 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.049 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.049 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.049 * [taylor]: Taking taylor expansion of 1.0 in n 2.049 * [taylor]: Taking taylor expansion of (log PI) in n 2.049 * [taylor]: Taking taylor expansion of PI in n 2.051 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.051 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.051 * [taylor]: Taking taylor expansion of 1.0 in n 2.051 * [taylor]: Taking taylor expansion of (log n) in n 2.051 * [taylor]: Taking taylor expansion of n in n 2.058 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.058 * [taylor]: Taking taylor expansion of 1.0 in n 2.058 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.058 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.058 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.058 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.058 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.058 * [taylor]: Taking taylor expansion of -1 in n 2.058 * [taylor]: Taking taylor expansion of k in n 2.058 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.058 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.058 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.058 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.058 * [taylor]: Taking taylor expansion of -0.5 in n 2.058 * [taylor]: Taking taylor expansion of k in n 2.059 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.059 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.059 * [taylor]: Taking taylor expansion of -2.0 in n 2.059 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.059 * [taylor]: Taking taylor expansion of PI in n 2.059 * [taylor]: Taking taylor expansion of n in n 2.064 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.064 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.064 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.064 * [taylor]: Taking taylor expansion of 0.5 in n 2.064 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.064 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.064 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.064 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.064 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.064 * [taylor]: Taking taylor expansion of 1.0 in n 2.064 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.064 * [taylor]: Taking taylor expansion of -2.0 in n 2.065 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.066 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.066 * [taylor]: Taking taylor expansion of 1.0 in n 2.066 * [taylor]: Taking taylor expansion of (log PI) in n 2.066 * [taylor]: Taking taylor expansion of PI in n 2.067 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.067 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.067 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.067 * [taylor]: Taking taylor expansion of 1.0 in n 2.067 * [taylor]: Taking taylor expansion of (log n) in n 2.067 * [taylor]: Taking taylor expansion of n in n 2.085 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.085 * [taylor]: Taking taylor expansion of 1.0 in k 2.085 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.085 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.085 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.085 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.085 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.085 * [taylor]: Taking taylor expansion of -0.5 in k 2.085 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.085 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.085 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.085 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.085 * [taylor]: Taking taylor expansion of -2.0 in k 2.085 * [taylor]: Taking taylor expansion of PI in k 2.086 * [taylor]: Taking taylor expansion of (log n) in k 2.086 * [taylor]: Taking taylor expansion of n in k 2.086 * [taylor]: Taking taylor expansion of k in k 2.089 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.089 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.089 * [taylor]: Taking taylor expansion of -1 in k 2.089 * [taylor]: Taking taylor expansion of k in k 2.093 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.093 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.093 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.093 * [taylor]: Taking taylor expansion of 0.5 in k 2.093 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.093 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.093 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.093 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.093 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.093 * [taylor]: Taking taylor expansion of 1.0 in k 2.093 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.093 * [taylor]: Taking taylor expansion of -2.0 in k 2.095 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.095 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.095 * [taylor]: Taking taylor expansion of 1.0 in k 2.095 * [taylor]: Taking taylor expansion of (log PI) in k 2.095 * [taylor]: Taking taylor expansion of PI in k 2.097 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.097 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.097 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.097 * [taylor]: Taking taylor expansion of 1.0 in k 2.097 * [taylor]: Taking taylor expansion of (log n) in k 2.097 * [taylor]: Taking taylor expansion of n in k 2.134 * [taylor]: Taking taylor expansion of 0 in k 2.200 * [taylor]: Taking taylor expansion of 0 in k 2.245 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.245 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.245 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.245 * [taylor]: Taking taylor expansion of 2.0 in n 2.245 * [taylor]: Taking taylor expansion of (* n PI) in n 2.245 * [taylor]: Taking taylor expansion of n in n 2.245 * [taylor]: Taking taylor expansion of PI in n 2.245 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.245 * [taylor]: Taking taylor expansion of 2.0 in n 2.245 * [taylor]: Taking taylor expansion of (* n PI) in n 2.245 * [taylor]: Taking taylor expansion of n in n 2.245 * [taylor]: Taking taylor expansion of PI in n 2.402 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.402 * [taylor]: Taking taylor expansion of 2.0 in n 2.402 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.402 * [taylor]: Taking taylor expansion of PI in n 2.402 * [taylor]: Taking taylor expansion of n in n 2.403 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.403 * [taylor]: Taking taylor expansion of 2.0 in n 2.403 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.403 * [taylor]: Taking taylor expansion of PI in n 2.403 * [taylor]: Taking taylor expansion of n in n 2.411 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.411 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.411 * [taylor]: Taking taylor expansion of -2.0 in n 2.411 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.411 * [taylor]: Taking taylor expansion of PI in n 2.411 * [taylor]: Taking taylor expansion of n in n 2.412 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.412 * [taylor]: Taking taylor expansion of -2.0 in n 2.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.412 * [taylor]: Taking taylor expansion of PI in n 2.412 * [taylor]: Taking taylor expansion of n in n 2.420 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.421 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.421 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.421 * [taylor]: Taking taylor expansion of 2.0 in n 2.421 * [taylor]: Taking taylor expansion of (* n PI) in n 2.421 * [taylor]: Taking taylor expansion of n in n 2.421 * [taylor]: Taking taylor expansion of PI in n 2.421 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.421 * [taylor]: Taking taylor expansion of 2.0 in n 2.421 * [taylor]: Taking taylor expansion of (* n PI) in n 2.421 * [taylor]: Taking taylor expansion of n in n 2.421 * [taylor]: Taking taylor expansion of PI in n 2.433 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.433 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.433 * [taylor]: Taking taylor expansion of 2.0 in n 2.433 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.433 * [taylor]: Taking taylor expansion of PI in n 2.433 * [taylor]: Taking taylor expansion of n in n 2.433 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.433 * [taylor]: Taking taylor expansion of 2.0 in n 2.433 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.433 * [taylor]: Taking taylor expansion of PI in n 2.433 * [taylor]: Taking taylor expansion of n in n 2.442 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.442 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.442 * [taylor]: Taking taylor expansion of -2.0 in n 2.442 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.442 * [taylor]: Taking taylor expansion of PI in n 2.442 * [taylor]: Taking taylor expansion of n in n 2.443 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.443 * [taylor]: Taking taylor expansion of -2.0 in n 2.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.451 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.452 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.452 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.452 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.452 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.452 * [taylor]: Taking taylor expansion of 0.5 in n 2.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.452 * [taylor]: Taking taylor expansion of 2.0 in n 2.452 * [taylor]: Taking taylor expansion of (* n PI) in n 2.452 * [taylor]: Taking taylor expansion of n in n 2.452 * [taylor]: Taking taylor expansion of PI in n 2.457 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.457 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.457 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.457 * [taylor]: Taking taylor expansion of 0.5 in n 2.457 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.457 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.457 * [taylor]: Taking taylor expansion of 2.0 in n 2.457 * [taylor]: Taking taylor expansion of (* n PI) in n 2.457 * [taylor]: Taking taylor expansion of n in n 2.457 * [taylor]: Taking taylor expansion of PI in n 2.539 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.539 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.539 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.539 * [taylor]: Taking taylor expansion of 0.5 in n 2.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.539 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.539 * [taylor]: Taking taylor expansion of 2.0 in n 2.539 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.539 * [taylor]: Taking taylor expansion of PI in n 2.539 * [taylor]: Taking taylor expansion of n in n 2.546 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.546 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.546 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.546 * [taylor]: Taking taylor expansion of 0.5 in n 2.546 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.546 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.546 * [taylor]: Taking taylor expansion of 2.0 in n 2.546 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.546 * [taylor]: Taking taylor expansion of PI in n 2.546 * [taylor]: Taking taylor expansion of n in n 2.623 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.623 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.623 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.623 * [taylor]: Taking taylor expansion of 0.5 in n 2.623 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.623 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.623 * [taylor]: Taking taylor expansion of -2.0 in n 2.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.623 * [taylor]: Taking taylor expansion of PI in n 2.623 * [taylor]: Taking taylor expansion of n in n 2.627 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.627 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.627 * [taylor]: Taking taylor expansion of 0.5 in n 2.627 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.627 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.627 * [taylor]: Taking taylor expansion of -2.0 in n 2.627 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.627 * [taylor]: Taking taylor expansion of PI in n 2.627 * [taylor]: Taking taylor expansion of n in n 2.706 * * * [progress]: simplifying candidates 2.708 * [simplify]: Simplifying using # : (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ 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1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 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)) (/ 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)) (+ (- (* +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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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 (* (* k (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) (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)))))))))))) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +nan.0 (+ (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.806 * * * [progress]: adding candidates to table 3.024 * * [progress]: iteration 3 / 4 3.024 * * * [progress]: picking best candidate 3.045 * * * * [pick]: Picked # 3.045 * * * [progress]: localizing error 3.066 * * * [progress]: generating rewritten candidates 3.066 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.076 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 3.082 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.087 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 3.104 * * * [progress]: generating series expansions 3.104 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.105 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.105 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.105 * [taylor]: Taking taylor expansion of 2.0 in n 3.105 * [taylor]: Taking taylor expansion of (* n PI) in n 3.105 * [taylor]: Taking taylor expansion of n in n 3.105 * [taylor]: Taking taylor expansion of PI in n 3.105 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.105 * [taylor]: Taking taylor expansion of 2.0 in n 3.105 * [taylor]: Taking taylor expansion of (* n PI) in n 3.105 * [taylor]: Taking taylor expansion of n in n 3.105 * [taylor]: Taking taylor expansion of PI in n 3.118 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.118 * [taylor]: Taking taylor expansion of 2.0 in n 3.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.118 * [taylor]: Taking taylor expansion of PI in n 3.118 * [taylor]: Taking taylor expansion of n in n 3.119 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.119 * [taylor]: Taking taylor expansion of 2.0 in n 3.119 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.119 * [taylor]: Taking taylor expansion of PI in n 3.119 * [taylor]: Taking taylor expansion of n in n 3.128 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 3.128 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.128 * [taylor]: Taking taylor expansion of 2.0 in n 3.128 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.128 * [taylor]: Taking taylor expansion of PI in n 3.128 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.128 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.128 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.128 * [taylor]: Taking taylor expansion of -1 in n 3.128 * [taylor]: Taking taylor expansion of n in n 3.129 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.130 * [taylor]: Taking taylor expansion of 2.0 in n 3.130 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.130 * [taylor]: Taking taylor expansion of PI in n 3.130 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.130 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.130 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.130 * [taylor]: Taking taylor expansion of -1 in n 3.130 * [taylor]: Taking taylor expansion of n in n 3.156 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 3.156 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 3.156 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.156 * [taylor]: Taking taylor expansion of 2.0 in n 3.156 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.156 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.156 * [taylor]: Taking taylor expansion of n in n 3.157 * [taylor]: Taking taylor expansion of PI in n 3.157 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 3.157 * [taylor]: Taking taylor expansion of 2.0 in n 3.157 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 3.157 * [taylor]: Taking taylor expansion of (sqrt n) in n 3.157 * [taylor]: Taking taylor expansion of n in n 3.158 * [taylor]: Taking taylor expansion of PI in n 3.179 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 3.179 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.179 * [taylor]: Taking taylor expansion of 2.0 in n 3.179 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.179 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.179 * [taylor]: Taking taylor expansion of n in n 3.180 * [taylor]: Taking taylor expansion of PI in n 3.180 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 3.180 * [taylor]: Taking taylor expansion of 2.0 in n 3.180 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 3.181 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 3.181 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.181 * [taylor]: Taking taylor expansion of n in n 3.182 * [taylor]: Taking taylor expansion of PI in n 3.203 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 3.203 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.203 * [taylor]: Taking taylor expansion of 2.0 in n 3.203 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.203 * [taylor]: Taking taylor expansion of PI in n 3.203 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.203 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.203 * [taylor]: Taking taylor expansion of -1 in n 3.203 * [taylor]: Taking taylor expansion of n in n 3.204 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 3.204 * [taylor]: Taking taylor expansion of 2.0 in n 3.205 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 3.205 * [taylor]: Taking taylor expansion of PI in n 3.205 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.205 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.205 * [taylor]: Taking taylor expansion of -1 in n 3.205 * [taylor]: Taking taylor expansion of n in n 3.225 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 3.225 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.225 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.225 * [taylor]: Taking taylor expansion of 1.0 in k 3.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.225 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.225 * [taylor]: Taking taylor expansion of k in k 3.226 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.227 * [taylor]: Taking taylor expansion of 1.0 in k 3.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.227 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.227 * [taylor]: Taking taylor expansion of k in k 3.243 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.243 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.244 * [taylor]: Taking taylor expansion of 1.0 in k 3.244 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.244 * [taylor]: Taking taylor expansion of k in k 3.245 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.245 * [taylor]: Taking taylor expansion of 1.0 in k 3.245 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.245 * [taylor]: Taking taylor expansion of k in k 3.254 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.255 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.255 * [taylor]: Taking taylor expansion of 1.0 in k 3.255 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.255 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.255 * [taylor]: Taking taylor expansion of -1 in k 3.255 * [taylor]: Taking taylor expansion of k in k 3.256 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.256 * [taylor]: Taking taylor expansion of 1.0 in k 3.256 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.256 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.256 * [taylor]: Taking taylor expansion of -1 in k 3.256 * [taylor]: Taking taylor expansion of k in k 3.268 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.268 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.268 * [taylor]: Taking taylor expansion of 0.5 in k 3.268 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.268 * [taylor]: Taking taylor expansion of 1.0 in k 3.268 * [taylor]: Taking taylor expansion of k in k 3.269 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.269 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.269 * [taylor]: Taking taylor expansion of 2.0 in k 3.269 * [taylor]: Taking taylor expansion of (* n PI) in k 3.269 * [taylor]: Taking taylor expansion of n in k 3.269 * [taylor]: Taking taylor expansion of PI in k 3.270 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.270 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.270 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.270 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.270 * [taylor]: Taking taylor expansion of 0.5 in n 3.270 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.270 * [taylor]: Taking taylor expansion of 1.0 in n 3.270 * [taylor]: Taking taylor expansion of k in n 3.270 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.270 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.270 * [taylor]: Taking taylor expansion of 2.0 in n 3.270 * [taylor]: Taking taylor expansion of (* n PI) in n 3.270 * [taylor]: Taking taylor expansion of n in n 3.270 * [taylor]: Taking taylor expansion of PI in n 3.275 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.275 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.275 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.275 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.275 * [taylor]: Taking taylor expansion of 0.5 in n 3.275 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.275 * [taylor]: Taking taylor expansion of 1.0 in n 3.275 * [taylor]: Taking taylor expansion of k in n 3.275 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.275 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.275 * [taylor]: Taking taylor expansion of 2.0 in n 3.275 * [taylor]: Taking taylor expansion of (* n PI) in n 3.275 * [taylor]: Taking taylor expansion of n in n 3.275 * [taylor]: Taking taylor expansion of PI in n 3.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.280 * [taylor]: Taking taylor expansion of 0.5 in k 3.280 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.280 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.280 * [taylor]: Taking taylor expansion of 1.0 in k 3.281 * [taylor]: Taking taylor expansion of k in k 3.281 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.281 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.281 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.281 * [taylor]: Taking taylor expansion of 2.0 in k 3.281 * [taylor]: Taking taylor expansion of PI in k 3.282 * [taylor]: Taking taylor expansion of (log n) in k 3.282 * [taylor]: Taking taylor expansion of n in k 3.290 * [taylor]: Taking taylor expansion of 0 in k 3.306 * [taylor]: Taking taylor expansion of 0 in k 3.331 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.331 * [taylor]: Taking taylor expansion of 0.5 in k 3.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.331 * [taylor]: Taking taylor expansion of 1.0 in k 3.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.331 * [taylor]: Taking taylor expansion of k in k 3.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.331 * [taylor]: Taking taylor expansion of 2.0 in k 3.331 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.331 * [taylor]: Taking taylor expansion of PI in k 3.331 * [taylor]: Taking taylor expansion of n in k 3.332 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.332 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.332 * [taylor]: Taking taylor expansion of 0.5 in n 3.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.332 * [taylor]: Taking taylor expansion of 1.0 in n 3.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.332 * [taylor]: Taking taylor expansion of k in n 3.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.332 * [taylor]: Taking taylor expansion of 2.0 in n 3.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.332 * [taylor]: Taking taylor expansion of PI in n 3.332 * [taylor]: Taking taylor expansion of n in n 3.336 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.336 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.336 * [taylor]: Taking taylor expansion of 0.5 in n 3.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.336 * [taylor]: Taking taylor expansion of 1.0 in n 3.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.336 * [taylor]: Taking taylor expansion of k in n 3.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.336 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.336 * [taylor]: Taking taylor expansion of 2.0 in n 3.336 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.336 * [taylor]: Taking taylor expansion of PI in n 3.336 * [taylor]: Taking taylor expansion of n in n 3.340 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.340 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.340 * [taylor]: Taking taylor expansion of 0.5 in k 3.340 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.340 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.340 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.340 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.340 * [taylor]: Taking taylor expansion of 2.0 in k 3.340 * [taylor]: Taking taylor expansion of PI in k 3.341 * [taylor]: Taking taylor expansion of (log n) in k 3.341 * [taylor]: Taking taylor expansion of n in k 3.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.341 * [taylor]: Taking taylor expansion of 1.0 in k 3.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.341 * [taylor]: Taking taylor expansion of k in k 3.351 * [taylor]: Taking taylor expansion of 0 in k 3.358 * [taylor]: Taking taylor expansion of 0 in k 3.367 * [taylor]: Taking taylor expansion of 0 in k 3.368 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.368 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 3.368 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 3.368 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.368 * [taylor]: Taking taylor expansion of 0.5 in k 3.368 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.368 * [taylor]: Taking taylor expansion of k in k 3.369 * [taylor]: Taking taylor expansion of 1.0 in k 3.369 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 3.369 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 3.369 * [taylor]: Taking taylor expansion of 2.0 in k 3.369 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 3.369 * [taylor]: Taking taylor expansion of PI in k 3.369 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 3.369 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 3.369 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.369 * [taylor]: Taking taylor expansion of -1 in k 3.369 * [taylor]: Taking taylor expansion of n in k 3.370 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.370 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 3.370 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 3.370 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.370 * [taylor]: Taking taylor expansion of 0.5 in n 3.370 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.370 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.370 * [taylor]: Taking taylor expansion of k in n 3.370 * [taylor]: Taking taylor expansion of 1.0 in n 3.370 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 3.370 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.370 * [taylor]: Taking taylor expansion of 2.0 in n 3.370 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.370 * [taylor]: Taking taylor expansion of PI in n 3.370 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.370 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.370 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.371 * [taylor]: Taking taylor expansion of -1 in n 3.371 * [taylor]: Taking taylor expansion of n in n 3.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 3.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 3.375 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.375 * [taylor]: Taking taylor expansion of 0.5 in n 3.375 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.375 * [taylor]: Taking taylor expansion of k in n 3.375 * [taylor]: Taking taylor expansion of 1.0 in n 3.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 3.375 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 3.375 * [taylor]: Taking taylor expansion of 2.0 in n 3.375 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 3.375 * [taylor]: Taking taylor expansion of PI in n 3.375 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 3.375 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 3.375 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.375 * [taylor]: Taking taylor expansion of -1 in n 3.375 * [taylor]: Taking taylor expansion of n in n 3.380 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 3.380 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 3.380 * [taylor]: Taking taylor expansion of 0.5 in k 3.380 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 3.380 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.380 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.380 * [taylor]: Taking taylor expansion of k in k 3.380 * [taylor]: Taking taylor expansion of 1.0 in k 3.380 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 3.380 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.380 * [taylor]: Taking taylor expansion of +nan.0 in k 3.380 * [taylor]: Taking taylor expansion of PI in k 3.405 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))))) in k 3.405 * [taylor]: Taking taylor expansion of -1 in k 3.405 * [taylor]: Taking taylor expansion of (* (+ (* +nan.0 (/ 1 k)) (- +nan.0)) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))))) in k 3.405 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 3.405 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 3.405 * [taylor]: Taking taylor expansion of +nan.0 in k 3.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.405 * [taylor]: Taking taylor expansion of k in k 3.406 * [taylor]: Taking taylor expansion of (- +nan.0) in k 3.406 * [taylor]: Taking taylor expansion of +nan.0 in k 3.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 3.406 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 3.406 * [taylor]: Taking taylor expansion of 0.5 in k 3.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 3.406 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.406 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.406 * [taylor]: Taking taylor expansion of k in k 3.406 * [taylor]: Taking taylor expansion of 1.0 in k 3.406 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 3.406 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.406 * [taylor]: Taking taylor expansion of +nan.0 in k 3.406 * [taylor]: Taking taylor expansion of PI in k 3.440 * [taylor]: Taking taylor expansion of (* -1 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))))) in k 3.440 * [taylor]: Taking taylor expansion of -1 in k 3.440 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) in k 3.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))))) in k 3.440 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI)))) in k 3.440 * [taylor]: Taking taylor expansion of 0.5 in k 3.440 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* +nan.0 PI))) in k 3.440 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.440 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.440 * [taylor]: Taking taylor expansion of k in k 3.440 * [taylor]: Taking taylor expansion of 1.0 in k 3.440 * [taylor]: Taking taylor expansion of (log (* +nan.0 PI)) in k 3.440 * [taylor]: Taking taylor expansion of (* +nan.0 PI) in k 3.440 * [taylor]: Taking taylor expansion of +nan.0 in k 3.440 * [taylor]: Taking taylor expansion of PI in k 3.444 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0)))) in k 3.444 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow k 2))) in k 3.444 * [taylor]: Taking taylor expansion of +nan.0 in k 3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow k 2)) in k 3.444 * [taylor]: Taking taylor expansion of (pow k 2) in k 3.444 * [taylor]: Taking taylor expansion of k in k 3.445 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))) in k 3.445 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 k)) (- +nan.0)) in k 3.445 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 k)) in k 3.445 * [taylor]: Taking taylor expansion of +nan.0 in k 3.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.445 * [taylor]: Taking taylor expansion of k in k 3.445 * [taylor]: Taking taylor expansion of (- +nan.0) in k 3.445 * [taylor]: Taking taylor expansion of +nan.0 in k 3.461 * * * [progress]: simplifying candidates 3.463 * [simplify]: Simplifying using # : (* (* (* 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)) (- (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 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) 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)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) 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 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 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)))))) (- (+ (* +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))))) (- (+ (* 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 (* +nan.0 PI))))) (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))))) 3.472 * * [simplify]: iteration 0 : 732 enodes (cost 985 ) 3.486 * * [simplify]: iteration 1 : 3017 enodes (cost 833 ) 3.539 * * [simplify]: iteration 2 : 5002 enodes (cost 812 ) 3.544 * [simplify]: Simplified to: (* (* 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)) (pow (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) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt 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)) (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) (* (/ (- 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) (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) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ (- 1.0 k) 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (- 1.0 k)) 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) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (+ (sqrt 1.0) (sqrt k)) 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) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt 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) (+ (* +nan.0 (- (/ PI (pow n 2)) PI)) (- (* +nan.0 (/ PI n)))) (+ (* +nan.0 (- (* n PI) (* (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)))) (+ (- (* +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))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (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))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (+ (- (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) (pow n 2)))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* +nan.0 PI))))) n))) 3.545 * * * [progress]: adding candidates to table 3.824 * * [progress]: iteration 4 / 4 3.824 * * * [progress]: picking best candidate 3.841 * * * * [pick]: Picked # 3.842 * * * [progress]: localizing error 3.862 * * * [progress]: generating rewritten candidates 3.862 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.874 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 3.886 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.890 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.901 * * * [progress]: generating series expansions 3.901 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.902 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in (n k) around 0 3.902 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 3.902 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 3.902 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 3.902 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 3.902 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.902 * [taylor]: Taking taylor expansion of k in k 3.904 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.904 * [taylor]: Taking taylor expansion of 1.0 in k 3.904 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.905 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.905 * [taylor]: Taking taylor expansion of 2.0 in k 3.905 * [taylor]: Taking taylor expansion of (* n PI) in k 3.905 * [taylor]: Taking taylor expansion of n in k 3.905 * [taylor]: Taking taylor expansion of PI in k 3.906 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 3.906 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 3.906 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 3.906 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 3.906 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.906 * [taylor]: Taking taylor expansion of k in n 3.906 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.906 * [taylor]: Taking taylor expansion of 1.0 in n 3.907 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.907 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.907 * [taylor]: Taking taylor expansion of 2.0 in n 3.907 * [taylor]: Taking taylor expansion of (* n PI) in n 3.907 * [taylor]: Taking taylor expansion of n in n 3.907 * [taylor]: Taking taylor expansion of PI in n 3.917 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 3.918 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 3.918 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 3.918 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 3.918 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.918 * [taylor]: Taking taylor expansion of k in n 3.918 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.918 * [taylor]: Taking taylor expansion of 1.0 in n 3.918 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.918 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.918 * [taylor]: Taking taylor expansion of 2.0 in n 3.919 * [taylor]: Taking taylor expansion of (* n PI) in n 3.919 * [taylor]: Taking taylor expansion of n in n 3.919 * [taylor]: Taking taylor expansion of PI in n 3.924 * [taylor]: Taking taylor expansion of (exp (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0)))) in k 3.925 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (+ (sqrt k) (sqrt 1.0))) in k 3.925 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.925 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.925 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.925 * [taylor]: Taking taylor expansion of 2.0 in k 3.925 * [taylor]: Taking taylor expansion of PI in k 3.926 * [taylor]: Taking taylor expansion of (log n) in k 3.926 * [taylor]: Taking taylor expansion of n in k 3.926 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 3.926 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.926 * [taylor]: Taking taylor expansion of k in k 3.927 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.927 * [taylor]: Taking taylor expansion of 1.0 in k 3.937 * [taylor]: Taking taylor expansion of 0 in k 3.952 * [taylor]: Taking taylor expansion of 0 in k 3.977 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in (n k) around 0 3.977 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 3.977 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.977 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.977 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 3.977 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 3.977 * [taylor]: Taking taylor expansion of 1.0 in k 3.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.978 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.978 * [taylor]: Taking taylor expansion of k in k 3.979 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.979 * [taylor]: Taking taylor expansion of 2.0 in k 3.979 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.979 * [taylor]: Taking taylor expansion of PI in k 3.979 * [taylor]: Taking taylor expansion of n in k 3.982 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 3.982 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.982 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.982 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 3.982 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.983 * [taylor]: Taking taylor expansion of 1.0 in n 3.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.983 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.983 * [taylor]: Taking taylor expansion of k in n 3.983 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.983 * [taylor]: Taking taylor expansion of 2.0 in n 3.983 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.983 * [taylor]: Taking taylor expansion of PI in n 3.983 * [taylor]: Taking taylor expansion of n in n 3.988 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 3.988 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.988 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.988 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 3.988 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 3.988 * [taylor]: Taking taylor expansion of 1.0 in n 3.989 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.989 * [taylor]: Taking taylor expansion of k in n 3.989 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.989 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.989 * [taylor]: Taking taylor expansion of 2.0 in n 3.989 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.989 * [taylor]: Taking taylor expansion of PI in n 3.989 * [taylor]: Taking taylor expansion of n in n 4.000 * [taylor]: Taking taylor expansion of (exp (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 4.000 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 4.000 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.000 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.000 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.000 * [taylor]: Taking taylor expansion of 2.0 in k 4.000 * [taylor]: Taking taylor expansion of PI in k 4.001 * [taylor]: Taking taylor expansion of (log n) in k 4.001 * [taylor]: Taking taylor expansion of n in k 4.001 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 4.001 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.001 * [taylor]: Taking taylor expansion of 1.0 in k 4.002 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.002 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.002 * [taylor]: Taking taylor expansion of k in k 4.019 * [taylor]: Taking taylor expansion of 0 in k 4.043 * [taylor]: Taking taylor expansion of 0 in k 4.087 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in (n k) around 0 4.087 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 4.087 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 4.087 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 4.087 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 4.087 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.087 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.087 * [taylor]: Taking taylor expansion of -1 in k 4.087 * [taylor]: Taking taylor expansion of k in k 4.089 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.089 * [taylor]: Taking taylor expansion of 1.0 in k 4.089 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.089 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.090 * [taylor]: Taking taylor expansion of -2.0 in k 4.090 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.090 * [taylor]: Taking taylor expansion of PI in k 4.090 * [taylor]: Taking taylor expansion of n in k 4.093 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 4.093 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 4.093 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 4.093 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 4.093 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.093 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.093 * [taylor]: Taking taylor expansion of -1 in n 4.093 * [taylor]: Taking taylor expansion of k in n 4.093 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.093 * [taylor]: Taking taylor expansion of 1.0 in n 4.094 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.094 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.094 * [taylor]: Taking taylor expansion of -2.0 in n 4.094 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.094 * [taylor]: Taking taylor expansion of PI in n 4.094 * [taylor]: Taking taylor expansion of n in n 4.098 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 4.098 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 4.098 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 4.098 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 4.098 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.098 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.098 * [taylor]: Taking taylor expansion of -1 in n 4.098 * [taylor]: Taking taylor expansion of k in n 4.098 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.098 * [taylor]: Taking taylor expansion of 1.0 in n 4.099 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.099 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.099 * [taylor]: Taking taylor expansion of -2.0 in n 4.099 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.099 * [taylor]: Taking taylor expansion of PI in n 4.099 * [taylor]: Taking taylor expansion of n in n 4.103 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n)))) in k 4.103 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (- (log (* -2.0 PI)) (log n))) in k 4.103 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 4.103 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.103 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.103 * [taylor]: Taking taylor expansion of -1 in k 4.103 * [taylor]: Taking taylor expansion of k in k 4.105 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.105 * [taylor]: Taking taylor expansion of 1.0 in k 4.105 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.105 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.105 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.105 * [taylor]: Taking taylor expansion of -2.0 in k 4.105 * [taylor]: Taking taylor expansion of PI in k 4.106 * [taylor]: Taking taylor expansion of (log n) in k 4.106 * [taylor]: Taking taylor expansion of n in k 4.124 * [taylor]: Taking taylor expansion of 0 in k 4.148 * [taylor]: Taking taylor expansion of 0 in k 4.195 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 4.197 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in (n k) around 0 4.197 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in k 4.197 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in k 4.197 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in k 4.197 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in k 4.197 * [taylor]: Taking taylor expansion of 0.5 in k 4.197 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 4.197 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.197 * [taylor]: Taking taylor expansion of 1.0 in k 4.197 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.197 * [taylor]: Taking taylor expansion of k in k 4.199 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in k 4.199 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in k 4.199 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in k 4.199 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in k 4.199 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 4.199 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.199 * [taylor]: Taking taylor expansion of k in k 4.200 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.200 * [taylor]: Taking taylor expansion of 1.0 in k 4.200 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.200 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.200 * [taylor]: Taking taylor expansion of 2.0 in k 4.200 * [taylor]: Taking taylor expansion of (* n PI) in k 4.200 * [taylor]: Taking taylor expansion of n in k 4.200 * [taylor]: Taking taylor expansion of PI in k 4.205 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 4.205 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 4.205 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 4.205 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 4.205 * [taylor]: Taking taylor expansion of 0.5 in n 4.205 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 4.205 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.205 * [taylor]: Taking taylor expansion of 1.0 in n 4.206 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.206 * [taylor]: Taking taylor expansion of k in n 4.206 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 4.206 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 4.206 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 4.206 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 4.206 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 4.206 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.206 * [taylor]: Taking taylor expansion of k in n 4.206 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.206 * [taylor]: Taking taylor expansion of 1.0 in n 4.207 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.207 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.207 * [taylor]: Taking taylor expansion of 2.0 in n 4.207 * [taylor]: Taking taylor expansion of (* n PI) in n 4.207 * [taylor]: Taking taylor expansion of n in n 4.207 * [taylor]: Taking taylor expansion of PI in n 4.216 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt k)))) in n 4.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))))) in n 4.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt k))) (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))))) in n 4.217 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt k))) in n 4.217 * [taylor]: Taking taylor expansion of 0.5 in n 4.217 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in n 4.217 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.217 * [taylor]: Taking taylor expansion of 1.0 in n 4.217 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.217 * [taylor]: Taking taylor expansion of k in n 4.218 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0)))) in n 4.218 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) in n 4.218 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI))))) in n 4.218 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (log (* 2.0 (* n PI)))) in n 4.218 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in n 4.218 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.218 * [taylor]: Taking taylor expansion of k in n 4.218 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.218 * [taylor]: Taking taylor expansion of 1.0 in n 4.219 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.219 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.219 * [taylor]: Taking taylor expansion of 2.0 in n 4.219 * [taylor]: Taking taylor expansion of (* n PI) in n 4.219 * [taylor]: Taking taylor expansion of n in n 4.219 * [taylor]: Taking taylor expansion of PI in n 4.229 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))))) in k 4.229 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))))) in k 4.229 * [taylor]: Taking taylor expansion of 0.5 in k 4.229 * [taylor]: Taking taylor expansion of (* (+ (log (* 2.0 PI)) (log n)) (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k)))) in k 4.229 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.229 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.229 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.229 * [taylor]: Taking taylor expansion of 2.0 in k 4.229 * [taylor]: Taking taylor expansion of PI in k 4.230 * [taylor]: Taking taylor expansion of (log n) in k 4.230 * [taylor]: Taking taylor expansion of n in k 4.230 * [taylor]: Taking taylor expansion of (* (+ (sqrt k) (sqrt 1.0)) (- (sqrt 1.0) (sqrt k))) in k 4.230 * [taylor]: Taking taylor expansion of (+ (sqrt k) (sqrt 1.0)) in k 4.230 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.230 * [taylor]: Taking taylor expansion of k in k 4.231 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.231 * [taylor]: Taking taylor expansion of 1.0 in k 4.232 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt k)) in k 4.232 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.232 * [taylor]: Taking taylor expansion of 1.0 in k 4.233 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.233 * [taylor]: Taking taylor expansion of k in k 4.252 * [taylor]: Taking taylor expansion of 0 in k 4.293 * [taylor]: Taking taylor expansion of 0 in k 4.358 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in (n k) around 0 4.358 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in k 4.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 4.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 4.358 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in k 4.358 * [taylor]: Taking taylor expansion of 0.5 in k 4.358 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 4.358 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.358 * [taylor]: Taking taylor expansion of 1.0 in k 4.359 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.359 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.359 * [taylor]: Taking taylor expansion of k in k 4.360 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 4.360 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 4.360 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.360 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.360 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 4.361 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.361 * [taylor]: Taking taylor expansion of 1.0 in k 4.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.361 * [taylor]: Taking taylor expansion of k in k 4.362 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.362 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.362 * [taylor]: Taking taylor expansion of 2.0 in k 4.362 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.363 * [taylor]: Taking taylor expansion of PI in k 4.363 * [taylor]: Taking taylor expansion of n in k 4.379 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 4.379 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 4.380 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 4.380 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.380 * [taylor]: Taking taylor expansion of 0.5 in n 4.380 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 4.380 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.380 * [taylor]: Taking taylor expansion of 1.0 in n 4.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.380 * [taylor]: Taking taylor expansion of k in n 4.380 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 4.381 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.381 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.381 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.381 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 4.381 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.381 * [taylor]: Taking taylor expansion of 1.0 in n 4.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.381 * [taylor]: Taking taylor expansion of k in n 4.381 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.382 * [taylor]: Taking taylor expansion of 2.0 in n 4.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.382 * [taylor]: Taking taylor expansion of PI in n 4.382 * [taylor]: Taking taylor expansion of n in n 4.390 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k))))) in n 4.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in n 4.390 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in n 4.390 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.390 * [taylor]: Taking taylor expansion of 0.5 in n 4.390 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in n 4.390 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.390 * [taylor]: Taking taylor expansion of 1.0 in n 4.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.391 * [taylor]: Taking taylor expansion of k in n 4.391 * [taylor]: Taking taylor expansion of (log (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in n 4.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in n 4.391 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.391 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.391 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in n 4.391 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.391 * [taylor]: Taking taylor expansion of 1.0 in n 4.392 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.392 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.392 * [taylor]: Taking taylor expansion of k in n 4.392 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.392 * [taylor]: Taking taylor expansion of 2.0 in n 4.392 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.392 * [taylor]: Taking taylor expansion of PI in n 4.392 * [taylor]: Taking taylor expansion of n in n 4.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))))) in k 4.401 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))))) in k 4.401 * [taylor]: Taking taylor expansion of 0.5 in k 4.401 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k))))) in k 4.401 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.401 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.401 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.401 * [taylor]: Taking taylor expansion of 2.0 in k 4.401 * [taylor]: Taking taylor expansion of PI in k 4.402 * [taylor]: Taking taylor expansion of (log n) in k 4.402 * [taylor]: Taking taylor expansion of n in k 4.402 * [taylor]: Taking taylor expansion of (* (- (sqrt 1.0) (sqrt (/ 1 k))) (+ (sqrt 1.0) (sqrt (/ 1 k)))) in k 4.402 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ 1 k))) in k 4.402 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.402 * [taylor]: Taking taylor expansion of 1.0 in k 4.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.403 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.403 * [taylor]: Taking taylor expansion of k in k 4.404 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 k))) in k 4.404 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.405 * [taylor]: Taking taylor expansion of 1.0 in k 4.405 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.405 * [taylor]: Taking taylor expansion of k in k 4.466 * [taylor]: Taking taylor expansion of 0 in k 4.540 * [taylor]: Taking taylor expansion of 0 in k 4.681 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in (n k) around 0 4.681 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 4.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in k 4.682 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in k 4.682 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 4.682 * [taylor]: Taking taylor expansion of 0.5 in k 4.682 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 4.682 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.682 * [taylor]: Taking taylor expansion of 1.0 in k 4.682 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.682 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.682 * [taylor]: Taking taylor expansion of -1 in k 4.682 * [taylor]: Taking taylor expansion of k in k 4.684 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in k 4.684 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in k 4.684 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in k 4.684 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in k 4.684 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 4.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.684 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.684 * [taylor]: Taking taylor expansion of -1 in k 4.684 * [taylor]: Taking taylor expansion of k in k 4.685 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.685 * [taylor]: Taking taylor expansion of 1.0 in k 4.686 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.686 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.686 * [taylor]: Taking taylor expansion of -2.0 in k 4.686 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.686 * [taylor]: Taking taylor expansion of PI in k 4.686 * [taylor]: Taking taylor expansion of n in k 4.703 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 4.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 4.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 4.704 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 4.704 * [taylor]: Taking taylor expansion of 0.5 in n 4.704 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 4.704 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.704 * [taylor]: Taking taylor expansion of 1.0 in n 4.704 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.704 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.704 * [taylor]: Taking taylor expansion of -1 in n 4.704 * [taylor]: Taking taylor expansion of k in n 4.705 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 4.705 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 4.705 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 4.705 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 4.705 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 4.705 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.705 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.705 * [taylor]: Taking taylor expansion of -1 in n 4.705 * [taylor]: Taking taylor expansion of k in n 4.705 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.705 * [taylor]: Taking taylor expansion of 1.0 in n 4.706 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.706 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.706 * [taylor]: Taking taylor expansion of -2.0 in n 4.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.706 * [taylor]: Taking taylor expansion of PI in n 4.706 * [taylor]: Taking taylor expansion of n in n 4.714 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k))))) in n 4.714 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))))) in n 4.714 * [taylor]: Taking taylor expansion of (* (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))))) in n 4.714 * [taylor]: Taking taylor expansion of (* 0.5 (- (sqrt 1.0) (sqrt (/ -1 k)))) in n 4.714 * [taylor]: Taking taylor expansion of 0.5 in n 4.714 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in n 4.714 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.714 * [taylor]: Taking taylor expansion of 1.0 in n 4.715 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.715 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.715 * [taylor]: Taking taylor expansion of -1 in n 4.715 * [taylor]: Taking taylor expansion of k in n 4.715 * [taylor]: Taking taylor expansion of (log (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0)))) in n 4.715 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (+ (sqrt (/ -1 k)) (sqrt 1.0))) in n 4.715 * [taylor]: Taking taylor expansion of (exp (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n))))) in n 4.715 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (log (* -2.0 (/ PI n)))) in n 4.715 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in n 4.715 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.715 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.715 * [taylor]: Taking taylor expansion of -1 in n 4.716 * [taylor]: Taking taylor expansion of k in n 4.716 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 4.716 * [taylor]: Taking taylor expansion of 1.0 in n 4.716 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.716 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.716 * [taylor]: Taking taylor expansion of -2.0 in n 4.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.717 * [taylor]: Taking taylor expansion of PI in n 4.717 * [taylor]: Taking taylor expansion of n in n 4.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))))) in k 4.725 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))))) in k 4.725 * [taylor]: Taking taylor expansion of 0.5 in k 4.725 * [taylor]: Taking taylor expansion of (* (+ (sqrt (/ -1 k)) (sqrt 1.0)) (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k))))) in k 4.725 * [taylor]: Taking taylor expansion of (+ (sqrt (/ -1 k)) (sqrt 1.0)) in k 4.725 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.725 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.725 * [taylor]: Taking taylor expansion of -1 in k 4.725 * [taylor]: Taking taylor expansion of k in k 4.727 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.727 * [taylor]: Taking taylor expansion of 1.0 in k 4.727 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (- (sqrt 1.0) (sqrt (/ -1 k)))) in k 4.727 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.727 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.727 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.727 * [taylor]: Taking taylor expansion of -2.0 in k 4.727 * [taylor]: Taking taylor expansion of PI in k 4.728 * [taylor]: Taking taylor expansion of (log n) in k 4.728 * [taylor]: Taking taylor expansion of n in k 4.728 * [taylor]: Taking taylor expansion of (- (sqrt 1.0) (sqrt (/ -1 k))) in k 4.728 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 4.728 * [taylor]: Taking taylor expansion of 1.0 in k 4.729 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.729 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.729 * [taylor]: Taking taylor expansion of -1 in k 4.729 * [taylor]: Taking taylor expansion of k in k 4.796 * [taylor]: Taking taylor expansion of 0 in k 4.874 * [taylor]: Taking taylor expansion of 0 in k 5.021 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 5.021 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.021 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.021 * [taylor]: Taking taylor expansion of 1.0 in k 5.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.021 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.021 * [taylor]: Taking taylor expansion of k in k 5.022 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.022 * [taylor]: Taking taylor expansion of 1.0 in k 5.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.022 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.022 * [taylor]: Taking taylor expansion of k in k 5.033 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.033 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.033 * [taylor]: Taking taylor expansion of 1.0 in k 5.033 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.033 * [taylor]: Taking taylor expansion of k in k 5.034 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.034 * [taylor]: Taking taylor expansion of 1.0 in k 5.034 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.034 * [taylor]: Taking taylor expansion of k in k 5.044 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.044 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.044 * [taylor]: Taking taylor expansion of 1.0 in k 5.044 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.044 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.044 * [taylor]: Taking taylor expansion of -1 in k 5.044 * [taylor]: Taking taylor expansion of k in k 5.046 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.046 * [taylor]: Taking taylor expansion of 1.0 in k 5.046 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.046 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.046 * [taylor]: Taking taylor expansion of -1 in k 5.046 * [taylor]: Taking taylor expansion of k in k 5.057 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.057 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.057 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.057 * [taylor]: Taking taylor expansion of 2.0 in n 5.057 * [taylor]: Taking taylor expansion of (* n PI) in n 5.057 * [taylor]: Taking taylor expansion of n in n 5.057 * [taylor]: Taking taylor expansion of PI in n 5.057 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.057 * [taylor]: Taking taylor expansion of 2.0 in n 5.057 * [taylor]: Taking taylor expansion of (* n PI) in n 5.057 * [taylor]: Taking taylor expansion of n in n 5.057 * [taylor]: Taking taylor expansion of PI in n 5.069 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.069 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.069 * [taylor]: Taking taylor expansion of 2.0 in n 5.069 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.069 * [taylor]: Taking taylor expansion of PI in n 5.069 * [taylor]: Taking taylor expansion of n in n 5.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.070 * [taylor]: Taking taylor expansion of 2.0 in n 5.070 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.070 * [taylor]: Taking taylor expansion of PI in n 5.070 * [taylor]: Taking taylor expansion of n in n 5.078 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.078 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.078 * [taylor]: Taking taylor expansion of -2.0 in n 5.078 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.078 * [taylor]: Taking taylor expansion of PI in n 5.078 * [taylor]: Taking taylor expansion of n in n 5.078 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.078 * [taylor]: Taking taylor expansion of -2.0 in n 5.078 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.079 * [taylor]: Taking taylor expansion of PI in n 5.079 * [taylor]: Taking taylor expansion of n in n 5.093 * * * [progress]: simplifying candidates 5.096 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* 1 (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)) (cbrt (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (pow (* (* 2.0 PI) n) (sqrt (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (+ (sqrt 1.0) (sqrt k))) (cbrt (+ (sqrt 1.0) (sqrt k)))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt (+ (sqrt 1.0) (sqrt k))) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) (sqrt 1))) (pow (* (* 2.0 PI) n) (/ (sqrt 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 1) (cbrt 1)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 1))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (+ (sqrt 1.0) (sqrt k))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow n (/ (+ (sqrt 1.0) (sqrt k)) 1)) (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (exp (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)))) (cbrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (* (* (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (sqrt (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 2)) (* (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (+ (log (* 2.0 PI)) (log n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (* (log (* (* 2.0 PI) n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (log (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (* (/ (+ (sqrt 1.0) (sqrt k)) 1) (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt 1.0) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (sqrt k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (* (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)) (cbrt (/ (- (sqrt 1.0) (sqrt k)) 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (sqrt (/ (- (sqrt 1.0) (sqrt k)) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) (sqrt 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (* (cbrt (- (sqrt 1.0) (sqrt k))) (cbrt (- (sqrt 1.0) (sqrt k)))) 1)) (pow (pow (* (* 2.0 PI) 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(sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n))) k)) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (pow (sqrt 1.0) 2) (pow (log (/ -1 n)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (* (sqrt 1.0) (pow (log (* -2.0 PI)) 2))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (pow (log (/ -1 n)) 2)) (pow k 2))) (- (* +nan.0 (/ (* (log (* -2.0 PI)) (* (exp (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (* -2.0 PI)))) (+ (* +nan.0 (* (sqrt 1.0) (log (* -2.0 PI)))) (- (* 0.5 (* (pow (sqrt 1.0) 2) (log (/ -1 n)))) (+ (* +nan.0 (log (* -2.0 PI))) (- (+ (* +nan.0 (log (/ -1 n))) (- (* +nan.0 (* (sqrt 1.0) (log (/ -1 n)))))))))))) (log (/ -1 n)))) (pow k 2)))))))))))))))))))))))))))))))))))) (+ (- (* +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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 5.163 * * * [progress]: adding candidates to table 5.638 * [progress]: [Phase 3 of 3] Extracting. 5.638 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 5.641 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.641 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 5.683 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 5.723 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 5.764 * * * [regime]: Found split indices: #