25.043 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.190 * * * [progress]: [2/2] Setting up program. 0.193 * [progress]: [Phase 2 of 3] Improving. 0.193 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.227 * * [simplify]: iteration 0 : 4992 enodes (cost 16 ) 0.227 * * [simplify]: iteration 1 : 4992 enodes (cost 16 ) 0.228 * [simplify]: Simplified to: (* 1.0 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) 0.232 * * [progress]: iteration 1 / 4 0.232 * * * [progress]: picking best candidate 0.239 * * * * [pick]: Picked # 0.239 * * * [progress]: localizing error 0.251 * * * [progress]: generating rewritten candidates 0.251 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 0.265 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1 2) 0.269 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.281 * * * [progress]: generating series expansions 0.281 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 0.281 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.281 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.281 * [taylor]: Taking taylor expansion of 0.5 in k 0.281 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.282 * [taylor]: Taking taylor expansion of 2.0 in k 0.282 * [taylor]: Taking taylor expansion of (* n PI) in k 0.282 * [taylor]: Taking taylor expansion of n in k 0.282 * [taylor]: Taking taylor expansion of PI in k 0.282 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.282 * [taylor]: Taking taylor expansion of 0.5 in n 0.282 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.282 * [taylor]: Taking taylor expansion of 1.0 in n 0.282 * [taylor]: Taking taylor expansion of k in n 0.282 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.282 * [taylor]: Taking taylor expansion of 2.0 in n 0.282 * [taylor]: Taking taylor expansion of (* n PI) in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.282 * [taylor]: Taking taylor expansion of PI in n 0.282 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.282 * [taylor]: Taking taylor expansion of 0.5 in n 0.283 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.283 * [taylor]: Taking taylor expansion of 1.0 in n 0.283 * [taylor]: Taking taylor expansion of k in n 0.283 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.283 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.283 * [taylor]: Taking taylor expansion of 2.0 in n 0.283 * [taylor]: Taking taylor expansion of (* n PI) in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.283 * [taylor]: Taking taylor expansion of PI in n 0.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.283 * [taylor]: Taking taylor expansion of 0.5 in k 0.283 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.283 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.283 * [taylor]: Taking taylor expansion of 1.0 in k 0.283 * [taylor]: Taking taylor expansion of k in k 0.283 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.283 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.283 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.283 * [taylor]: Taking taylor expansion of 2.0 in k 0.283 * [taylor]: Taking taylor expansion of PI in k 0.283 * [taylor]: Taking taylor expansion of (log n) in k 0.283 * [taylor]: Taking taylor expansion of n in k 0.284 * [taylor]: Taking taylor expansion of 0 in k 0.286 * [taylor]: Taking taylor expansion of 0 in k 0.288 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.288 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.288 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.288 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.288 * [taylor]: Taking taylor expansion of 0.5 in k 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.288 * [taylor]: Taking taylor expansion of 1.0 in k 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.288 * [taylor]: Taking taylor expansion of k in k 0.288 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.288 * [taylor]: Taking taylor expansion of 2.0 in k 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.288 * [taylor]: Taking taylor expansion of PI in k 0.288 * [taylor]: Taking taylor expansion of n in k 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.289 * [taylor]: Taking taylor expansion of 2.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.290 * [taylor]: Taking taylor expansion of 0.5 in n 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.290 * [taylor]: Taking taylor expansion of 2.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.290 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.290 * [taylor]: Taking taylor expansion of 0.5 in k 0.290 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.290 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.290 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.290 * [taylor]: Taking taylor expansion of 2.0 in k 0.290 * [taylor]: Taking taylor expansion of PI in k 0.290 * [taylor]: Taking taylor expansion of (log n) in k 0.290 * [taylor]: Taking taylor expansion of n in k 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.292 * [taylor]: Taking taylor expansion of 0 in k 0.292 * [taylor]: Taking taylor expansion of 0 in k 0.293 * [taylor]: Taking taylor expansion of 0 in k 0.294 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.294 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.294 * [taylor]: Taking taylor expansion of 0.5 in k 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.294 * [taylor]: Taking taylor expansion of k in k 0.294 * [taylor]: Taking taylor expansion of 1.0 in k 0.294 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.294 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.294 * [taylor]: Taking taylor expansion of -2.0 in k 0.294 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.294 * [taylor]: Taking taylor expansion of PI in k 0.294 * [taylor]: Taking taylor expansion of n in k 0.294 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.294 * [taylor]: Taking taylor expansion of 0.5 in n 0.294 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.294 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.294 * [taylor]: Taking taylor expansion of k in n 0.295 * [taylor]: Taking taylor expansion of 1.0 in n 0.295 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.295 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.295 * [taylor]: Taking taylor expansion of -2.0 in n 0.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.295 * [taylor]: Taking taylor expansion of PI in n 0.295 * [taylor]: Taking taylor expansion of n in n 0.295 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.295 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.295 * [taylor]: Taking taylor expansion of 0.5 in n 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.295 * [taylor]: Taking taylor expansion of k in n 0.295 * [taylor]: Taking taylor expansion of 1.0 in n 0.295 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.295 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.295 * [taylor]: Taking taylor expansion of -2.0 in n 0.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.295 * [taylor]: Taking taylor expansion of PI in n 0.295 * [taylor]: Taking taylor expansion of n in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 0.296 * [taylor]: Taking taylor expansion of 0.5 in k 0.296 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 0.296 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.296 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.296 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.296 * [taylor]: Taking taylor expansion of -2.0 in k 0.296 * [taylor]: Taking taylor expansion of PI in k 0.296 * [taylor]: Taking taylor expansion of (log n) in k 0.296 * [taylor]: Taking taylor expansion of n in k 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.296 * [taylor]: Taking taylor expansion of k in k 0.296 * [taylor]: Taking taylor expansion of 1.0 in k 0.297 * [taylor]: Taking taylor expansion of 0 in k 0.298 * [taylor]: Taking taylor expansion of 0 in k 0.299 * [taylor]: Taking taylor expansion of 0 in k 0.299 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1 2) 0.299 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.299 * [taylor]: Taking taylor expansion of (* n PI) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of (* n PI) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.300 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.300 * [taylor]: Taking taylor expansion of PI in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.300 * [taylor]: Taking taylor expansion of PI in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.300 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.300 * [taylor]: Taking taylor expansion of -1 in n 0.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.301 * [taylor]: Taking taylor expansion of PI in n 0.301 * [taylor]: Taking taylor expansion of n in n 0.301 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.301 * [taylor]: Taking taylor expansion of -1 in n 0.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.301 * [taylor]: Taking taylor expansion of PI in n 0.301 * [taylor]: Taking taylor expansion of n in n 0.302 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.302 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in (n k) around 0 0.302 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.302 * [taylor]: Taking taylor expansion of k in k 0.302 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.302 * [taylor]: Taking taylor expansion of 0.5 in k 0.302 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.302 * [taylor]: Taking taylor expansion of 1.0 in k 0.302 * [taylor]: Taking taylor expansion of k in k 0.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.302 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.302 * [taylor]: Taking taylor expansion of 2.0 in k 0.302 * [taylor]: Taking taylor expansion of (* n PI) in k 0.302 * [taylor]: Taking taylor expansion of n in k 0.302 * [taylor]: Taking taylor expansion of PI in k 0.302 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.302 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.302 * [taylor]: Taking taylor expansion of k in n 0.302 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.303 * [taylor]: Taking taylor expansion of 0.5 in n 0.303 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.303 * [taylor]: Taking taylor expansion of 1.0 in n 0.303 * [taylor]: Taking taylor expansion of k in n 0.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.303 * [taylor]: Taking taylor expansion of 2.0 in n 0.303 * [taylor]: Taking taylor expansion of (* n PI) in n 0.303 * [taylor]: Taking taylor expansion of n in n 0.303 * [taylor]: Taking taylor expansion of PI in n 0.303 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.303 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.303 * [taylor]: Taking taylor expansion of k in n 0.303 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.303 * [taylor]: Taking taylor expansion of 0.5 in n 0.303 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.303 * [taylor]: Taking taylor expansion of 1.0 in n 0.303 * [taylor]: Taking taylor expansion of k in n 0.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.303 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.303 * [taylor]: Taking taylor expansion of 2.0 in n 0.303 * [taylor]: Taking taylor expansion of (* n PI) in n 0.303 * [taylor]: Taking taylor expansion of n in n 0.303 * [taylor]: Taking taylor expansion of PI in n 0.304 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 0.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.304 * [taylor]: Taking taylor expansion of k in k 0.304 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.304 * [taylor]: Taking taylor expansion of 0.5 in k 0.304 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.304 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.304 * [taylor]: Taking taylor expansion of 1.0 in k 0.304 * [taylor]: Taking taylor expansion of k in k 0.304 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.304 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.304 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.304 * [taylor]: Taking taylor expansion of 2.0 in k 0.304 * [taylor]: Taking taylor expansion of PI in k 0.304 * [taylor]: Taking taylor expansion of (log n) in k 0.304 * [taylor]: Taking taylor expansion of n in k 0.305 * [taylor]: Taking taylor expansion of 0 in k 0.307 * [taylor]: Taking taylor expansion of 0 in k 0.311 * [taylor]: Taking taylor expansion of 0 in k 0.318 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.318 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.318 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.318 * [taylor]: Taking taylor expansion of k in k 0.318 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.318 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.318 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.318 * [taylor]: Taking taylor expansion of 0.5 in k 0.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.318 * [taylor]: Taking taylor expansion of 1.0 in k 0.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.319 * [taylor]: Taking taylor expansion of k in k 0.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.319 * [taylor]: Taking taylor expansion of 2.0 in k 0.319 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.319 * [taylor]: Taking taylor expansion of PI in k 0.319 * [taylor]: Taking taylor expansion of n in k 0.319 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.319 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.319 * [taylor]: Taking taylor expansion of k in n 0.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.319 * [taylor]: Taking taylor expansion of 0.5 in n 0.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.319 * [taylor]: Taking taylor expansion of 1.0 in n 0.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.319 * [taylor]: Taking taylor expansion of k in n 0.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.319 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.319 * [taylor]: Taking taylor expansion of 2.0 in n 0.319 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.319 * [taylor]: Taking taylor expansion of PI in n 0.319 * [taylor]: Taking taylor expansion of n in n 0.320 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.320 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.320 * [taylor]: Taking taylor expansion of k in n 0.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.320 * [taylor]: Taking taylor expansion of 0.5 in n 0.320 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.320 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.320 * [taylor]: Taking taylor expansion of k in n 0.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.320 * [taylor]: Taking taylor expansion of 2.0 in n 0.320 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.321 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 0.321 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.321 * [taylor]: Taking taylor expansion of k in k 0.321 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.321 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.321 * [taylor]: Taking taylor expansion of 0.5 in k 0.321 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.321 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.321 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.321 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.321 * [taylor]: Taking taylor expansion of 2.0 in k 0.321 * [taylor]: Taking taylor expansion of PI in k 0.321 * [taylor]: Taking taylor expansion of (log n) in k 0.321 * [taylor]: Taking taylor expansion of n in k 0.321 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.321 * [taylor]: Taking taylor expansion of 1.0 in k 0.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.321 * [taylor]: Taking taylor expansion of k in k 0.322 * [taylor]: Taking taylor expansion of 0 in k 0.323 * [taylor]: Taking taylor expansion of 0 in k 0.325 * [taylor]: Taking taylor expansion of 0 in k 0.327 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.327 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.327 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.327 * [taylor]: Taking taylor expansion of 0.5 in k 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.327 * [taylor]: Taking taylor expansion of k in k 0.327 * [taylor]: Taking taylor expansion of 1.0 in k 0.327 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.327 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.327 * [taylor]: Taking taylor expansion of -2.0 in k 0.327 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.327 * [taylor]: Taking taylor expansion of PI in k 0.327 * [taylor]: Taking taylor expansion of n in k 0.327 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.327 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.327 * [taylor]: Taking taylor expansion of -1 in k 0.327 * [taylor]: Taking taylor expansion of k in k 0.327 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.327 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.328 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.328 * [taylor]: Taking taylor expansion of 0.5 in n 0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.328 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.328 * [taylor]: Taking taylor expansion of k in n 0.328 * [taylor]: Taking taylor expansion of 1.0 in n 0.328 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.328 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.328 * [taylor]: Taking taylor expansion of -2.0 in n 0.328 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.328 * [taylor]: Taking taylor expansion of PI in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.328 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.328 * [taylor]: Taking taylor expansion of -1 in n 0.328 * [taylor]: Taking taylor expansion of k in n 0.329 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.329 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.329 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.329 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.329 * [taylor]: Taking taylor expansion of 0.5 in n 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.329 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.329 * [taylor]: Taking taylor expansion of k in n 0.329 * [taylor]: Taking taylor expansion of 1.0 in n 0.329 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.329 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.329 * [taylor]: Taking taylor expansion of -2.0 in n 0.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.329 * [taylor]: Taking taylor expansion of PI in n 0.329 * [taylor]: Taking taylor expansion of n in n 0.329 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.329 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.329 * [taylor]: Taking taylor expansion of -1 in n 0.329 * [taylor]: Taking taylor expansion of k in n 0.330 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 0.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 0.330 * [taylor]: Taking taylor expansion of 0.5 in k 0.330 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 0.330 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.330 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.330 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.330 * [taylor]: Taking taylor expansion of -2.0 in k 0.330 * [taylor]: Taking taylor expansion of PI in k 0.330 * [taylor]: Taking taylor expansion of (log n) in k 0.330 * [taylor]: Taking taylor expansion of n in k 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.330 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.330 * [taylor]: Taking taylor expansion of k in k 0.330 * [taylor]: Taking taylor expansion of 1.0 in k 0.330 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.330 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.330 * [taylor]: Taking taylor expansion of -1 in k 0.330 * [taylor]: Taking taylor expansion of k in k 0.331 * [taylor]: Taking taylor expansion of 0 in k 0.333 * [taylor]: Taking taylor expansion of 0 in k 0.335 * [taylor]: Taking taylor expansion of 0 in k 0.336 * * * [progress]: simplifying candidates 0.337 * [simplify]: Simplifying using # : (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) 1) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) 1) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 1) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) 1) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (log n) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow k 2) (* (pow (log n) 2) (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 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ -1 n))) (- 1.0 k)))) (* n PI) (* n PI) (* n PI) (- (+ (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow NAN 5))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) NAN)))) (+ (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow NAN 3))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (log n) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))))) (+ (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) NAN) (* 0.125 (* (pow k 2) (* (pow (log n) 2) (* NAN (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)))) NAN)))) (+ (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* NAN (log n))))) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow NAN 3))))) (* 0.5 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow NAN 3) (log n))))))))) (+ (/ (* (pow NAN 3) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))) (pow k 2)) (+ (/ (* (pow NAN 5) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))) (pow k 3)) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n))))))) k))) (+ (/ (* NAN (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)))) NAN)) 0.369 * * [simplify]: iteration 0 : 5013 enodes (cost 2181 ) 0.376 * [simplify]: Simplified to: (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt (- 1.0 k))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (/ (+ (sqrt 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))) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (fabs (cbrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (* (/ (- 1.0 k) 2.0) 1/2))) (* (pow (* 2.0 (* PI n)) (/ k 2.0)) (sqrt k)) (- (+ (+ (pow (* 2.0 (* PI n)) 0.5) (* (* k k) (* (* (log n) (* (log (* 2.0 PI)) (pow (* 2.0 (* PI n)) 0.5))) 0.25))) (* (* (* 0.125 (* k k)) (pow (* 2.0 (* PI n)) 0.5)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)))) (* 0.5 (* k (* (pow (* 2.0 (* PI n)) 0.5) (log (* 2.0 (* PI n))))))) (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) (* PI n) (* PI n) (* PI n) (+ (* (* k k) (+ (* (pow (* 2.0 (* PI n)) 0.5) (pow NAN 5)) (* (* (pow (log (* 2.0 PI)) 2) (* (pow (* 2.0 (* PI n)) 0.5) NAN)) 0.125))) (- (+ (* k (* (pow (* 2.0 (* PI n)) 0.5) (pow NAN 3))) (+ (* (pow (* 2.0 (* PI n)) 0.5) NAN) (* (* (pow (* 2.0 (* PI n)) 0.5) NAN) (+ (* 0.125 (* k (* k (pow (log n) 2)))) (* (* (* k k) 0.25) (* (log n) (log (* 2.0 PI)))))))) (* 0.5 (+ (* (* k k) (* (pow NAN 3) (* (pow (* 2.0 (* PI n)) 0.5) (log (* 2.0 (* PI n)))))) (* k (* NAN (* (pow (* 2.0 (* PI n)) 0.5) (log (* 2.0 (* PI n)))))))))) (+ (* (/ (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) k) (/ (pow NAN 3) k)) (* (pow (* 2.0 (* PI n)) (* (- 1.0 k) 0.5)) (+ (/ (pow NAN 5) (pow k 3)) (/ NAN k)))) (+ (* (/ NAN k) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n)))))) (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN)) 0.381 * * * [progress]: adding candidates to table 0.594 * * [progress]: iteration 2 / 4 0.594 * * * [progress]: picking best candidate 0.622 * * * * [pick]: Picked # 0.622 * * * [progress]: localizing error 0.638 * * * [progress]: generating rewritten candidates 0.638 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.646 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 0.650 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1 2) 0.654 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 0.664 * * * [progress]: generating series expansions 0.664 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.664 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 0.664 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.664 * [taylor]: Taking taylor expansion of 0.5 in n 0.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.664 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.664 * [taylor]: Taking taylor expansion of 2.0 in n 0.664 * [taylor]: Taking taylor expansion of (* n PI) in n 0.664 * [taylor]: Taking taylor expansion of n in n 0.664 * [taylor]: Taking taylor expansion of PI in n 0.665 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.665 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.665 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.665 * [taylor]: Taking taylor expansion of 0.5 in n 0.665 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.665 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.665 * [taylor]: Taking taylor expansion of 2.0 in n 0.665 * [taylor]: Taking taylor expansion of (* n PI) in n 0.665 * [taylor]: Taking taylor expansion of n in n 0.665 * [taylor]: Taking taylor expansion of PI in n 0.673 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 0.673 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 0.673 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 0.673 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 0.673 * [taylor]: Taking taylor expansion of 0.5 in n 0.673 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.673 * [taylor]: Taking taylor expansion of 2.0 in n 0.673 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.673 * [taylor]: Taking taylor expansion of PI in n 0.673 * [taylor]: Taking taylor expansion of n in n 0.674 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 0.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 0.674 * [taylor]: Taking taylor expansion of 0.5 in n 0.674 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.674 * [taylor]: Taking taylor expansion of 2.0 in n 0.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.674 * [taylor]: Taking taylor expansion of PI in n 0.674 * [taylor]: Taking taylor expansion of n in n 0.682 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 0.682 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 0.682 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 0.682 * [taylor]: Taking taylor expansion of 0.5 in n 0.682 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.682 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.682 * [taylor]: Taking taylor expansion of -2.0 in n 0.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.682 * [taylor]: Taking taylor expansion of PI in n 0.682 * [taylor]: Taking taylor expansion of n in n 0.683 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 0.683 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 0.683 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 0.683 * [taylor]: Taking taylor expansion of 0.5 in n 0.683 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.683 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.683 * [taylor]: Taking taylor expansion of -2.0 in n 0.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.683 * [taylor]: Taking taylor expansion of PI in n 0.683 * [taylor]: Taking taylor expansion of n in n 0.691 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 0.691 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.691 * [taylor]: Taking taylor expansion of (* n PI) in n 0.691 * [taylor]: Taking taylor expansion of n in n 0.691 * [taylor]: Taking taylor expansion of PI in n 0.691 * [taylor]: Taking taylor expansion of (* n PI) in n 0.691 * [taylor]: Taking taylor expansion of n in n 0.691 * [taylor]: Taking taylor expansion of PI in n 0.691 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.692 * [taylor]: Taking taylor expansion of PI in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.692 * [taylor]: Taking taylor expansion of PI in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.692 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.692 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.692 * [taylor]: Taking taylor expansion of -1 in n 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.692 * [taylor]: Taking taylor expansion of PI in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.692 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.692 * [taylor]: Taking taylor expansion of -1 in n 0.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.692 * [taylor]: Taking taylor expansion of PI in n 0.692 * [taylor]: Taking taylor expansion of n in n 0.693 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1 2) 0.693 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.693 * [taylor]: Taking taylor expansion of (* n PI) in n 0.693 * [taylor]: Taking taylor expansion of n in n 0.693 * [taylor]: Taking taylor expansion of PI in n 0.693 * [taylor]: Taking taylor expansion of (* n PI) in n 0.694 * [taylor]: Taking taylor expansion of n in n 0.694 * [taylor]: Taking taylor expansion of PI in n 0.694 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.694 * [taylor]: Taking taylor expansion of PI in n 0.694 * [taylor]: Taking taylor expansion of n in n 0.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.694 * [taylor]: Taking taylor expansion of PI in n 0.694 * [taylor]: Taking taylor expansion of n in n 0.695 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.695 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.695 * [taylor]: Taking taylor expansion of -1 in n 0.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.695 * [taylor]: Taking taylor expansion of PI in n 0.695 * [taylor]: Taking taylor expansion of n in n 0.695 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.695 * [taylor]: Taking taylor expansion of -1 in n 0.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.695 * [taylor]: Taking taylor expansion of PI in n 0.695 * [taylor]: Taking taylor expansion of n in n 0.696 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 0.696 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 0.696 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 0.696 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 0.696 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 0.696 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 0.696 * [taylor]: Taking taylor expansion of 0.5 in k 0.696 * [taylor]: Taking taylor expansion of k in k 0.696 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.696 * [taylor]: Taking taylor expansion of 2.0 in k 0.696 * [taylor]: Taking taylor expansion of (* n PI) in k 0.696 * [taylor]: Taking taylor expansion of n in k 0.696 * [taylor]: Taking taylor expansion of PI in k 0.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.697 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.697 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.697 * [taylor]: Taking taylor expansion of 0.5 in n 0.697 * [taylor]: Taking taylor expansion of k in n 0.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (* n PI) in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.697 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.697 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.697 * [taylor]: Taking taylor expansion of 0.5 in n 0.697 * [taylor]: Taking taylor expansion of k in n 0.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (* n PI) in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 0.698 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 0.698 * [taylor]: Taking taylor expansion of 0.5 in k 0.698 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 0.698 * [taylor]: Taking taylor expansion of k in k 0.698 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.698 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.698 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.698 * [taylor]: Taking taylor expansion of 2.0 in k 0.698 * [taylor]: Taking taylor expansion of PI in k 0.698 * [taylor]: Taking taylor expansion of (log n) in k 0.698 * [taylor]: Taking taylor expansion of n in k 0.699 * [taylor]: Taking taylor expansion of 0 in k 0.700 * [taylor]: Taking taylor expansion of 0 in k 0.701 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 0.701 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 0.702 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 0.702 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 0.702 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 0.702 * [taylor]: Taking taylor expansion of 0.5 in k 0.702 * [taylor]: Taking taylor expansion of k in k 0.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.702 * [taylor]: Taking taylor expansion of 2.0 in k 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.702 * [taylor]: Taking taylor expansion of PI in k 0.702 * [taylor]: Taking taylor expansion of n in k 0.702 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.702 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.702 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.702 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.702 * [taylor]: Taking taylor expansion of k in n 0.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.702 * [taylor]: Taking taylor expansion of 2.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.702 * [taylor]: Taking taylor expansion of PI in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.702 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.702 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.702 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.702 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.703 * [taylor]: Taking taylor expansion of k in n 0.703 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.703 * [taylor]: Taking taylor expansion of 2.0 in n 0.703 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.703 * [taylor]: Taking taylor expansion of PI in n 0.703 * [taylor]: Taking taylor expansion of n in n 0.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 0.703 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 0.703 * [taylor]: Taking taylor expansion of 0.5 in k 0.703 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 0.703 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.703 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.703 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.703 * [taylor]: Taking taylor expansion of 2.0 in k 0.703 * [taylor]: Taking taylor expansion of PI in k 0.703 * [taylor]: Taking taylor expansion of (log n) in k 0.703 * [taylor]: Taking taylor expansion of n in k 0.703 * [taylor]: Taking taylor expansion of k in k 0.707 * [taylor]: Taking taylor expansion of 0 in k 0.707 * [taylor]: Taking taylor expansion of 0 in k 0.708 * [taylor]: Taking taylor expansion of 0 in k 0.709 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 0.709 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 0.709 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 0.709 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 0.709 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 0.709 * [taylor]: Taking taylor expansion of -0.5 in k 0.709 * [taylor]: Taking taylor expansion of k in k 0.709 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.709 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.709 * [taylor]: Taking taylor expansion of -2.0 in k 0.709 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.709 * [taylor]: Taking taylor expansion of PI in k 0.709 * [taylor]: Taking taylor expansion of n in k 0.709 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.709 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.709 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.709 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.709 * [taylor]: Taking taylor expansion of -0.5 in n 0.709 * [taylor]: Taking taylor expansion of k in n 0.709 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.709 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.709 * [taylor]: Taking taylor expansion of -2.0 in n 0.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.709 * [taylor]: Taking taylor expansion of PI in n 0.709 * [taylor]: Taking taylor expansion of n in n 0.709 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.710 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.710 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.710 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.710 * [taylor]: Taking taylor expansion of -0.5 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 0.710 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 0.710 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 0.710 * [taylor]: Taking taylor expansion of -0.5 in k 0.710 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 0.710 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.710 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.710 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.710 * [taylor]: Taking taylor expansion of -2.0 in k 0.710 * [taylor]: Taking taylor expansion of PI in k 0.710 * [taylor]: Taking taylor expansion of (log n) in k 0.710 * [taylor]: Taking taylor expansion of n in k 0.710 * [taylor]: Taking taylor expansion of k in k 0.711 * [taylor]: Taking taylor expansion of 0 in k 0.712 * [taylor]: Taking taylor expansion of 0 in k 0.713 * [taylor]: Taking taylor expansion of 0 in k 0.713 * * * [progress]: simplifying candidates 0.714 * [simplify]: Simplifying using # : (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (* (+ (log 2.0) (log (* 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 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* 2.0 (* PI n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt 1.0) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) 1) (pow (* 2.0 (* PI n)) 1.0) (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (exp (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (* (+ (log 2.0) (+ (log PI) (log n))) (/ k 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* 2.0 (* PI n)) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* 2.0 (* PI n)) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ (sqrt k) 1)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* PI n)) (/ 1 1)) (pow (* 2.0 (* PI n)) 1) (pow (* 2.0 (* PI n)) k) (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0)) (log (pow (* 2.0 (* PI n)) (/ k 2.0))) (exp (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ k 2.0)) (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (/ (/ k 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ k 2.0) 2)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* n PI) (* n PI) (* n PI) (* n PI) (* n PI) (* n PI) (+ (* 0.5 (* k (log (* 2.0 PI)))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.5 (* k (log n))) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ 1 (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))) (exp (* 0.5 (* k (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.759 * * [simplify]: iteration 0 : 4951 enodes (cost 875 ) 0.759 * * [simplify]: iteration 1 : 4951 enodes (cost 875 ) 0.768 * [simplify]: Simplified to: (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* 2.0 (* PI n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt 1.0) (/ (cbrt 1.0) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* 2.0 (* PI n)) (* (cbrt 1.0) (/ (cbrt 1.0) (sqrt 2.0)))) (pow (* 2.0 (* PI n)) (* (cbrt 1.0) (cbrt 1.0))) (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)) (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 (/ 1.0 2.0)) (pow (* PI 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) 1/2)) (pow (* 2.0 (* PI n)) (* (/ 1.0 2.0) 1/2)) (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* 2.0 (* PI n)) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* 2.0 (* PI n)) (sqrt (/ k 2.0))) (pow (* 2.0 (* PI n)) (* (cbrt k) (/ (cbrt k) (* (cbrt 2.0) (cbrt 2.0))))) (pow (* 2.0 (* PI n)) (* (cbrt k) (/ (cbrt k) (sqrt 2.0)))) (pow (* 2.0 (* PI n)) (* (cbrt k) (cbrt k))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ (sqrt k) (sqrt 2.0))) (pow (* 2.0 (* PI n)) (sqrt k)) (pow (* 2.0 (* PI n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* PI n)) (/ 1 (sqrt 2.0))) (* 2.0 (* PI n)) (* 2.0 (* PI n)) (pow (* 2.0 (* PI n)) k) (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0)) (* (log (* 2.0 (* PI n))) (/ k 2.0)) (exp (pow (* 2.0 (* PI n)) (/ k 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (pow (* 2.0 (* PI n)) (/ k 2.0)) 3) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ k 2.0))) (pow (* 2.0 (* PI n)) (* (/ k 2.0) 1/2)) (pow (* 2.0 (* PI n)) (* (/ k 2.0) 1/2)) (pow (* 2.0 (* PI n)) 0.5) (pow (* 2.0 (* PI n)) 0.5) (pow (* -2.0 (/ PI (/ -1 n))) 0.5) (* PI n) (* PI n) (* PI n) (* PI n) (* PI n) (* PI n) (+ (* k (* k (* 0.125 (pow (log (* 2.0 PI)) 2)))) (+ (+ 1 (* (* k k) (+ (* 0.125 (pow (log n) 2)) (* (log n) (* (log (* 2.0 PI)) 0.25))))) (* (log (* 2.0 (* PI n))) (* k 0.5)))) (pow (* 2.0 (* PI n)) (* k 0.5)) (pow (pow (* -2.0 (/ PI (/ -1 n))) 0.5) k) 0.769 * * * [progress]: adding candidates to table 0.938 * * [progress]: iteration 3 / 4 0.938 * * * [progress]: picking best candidate 0.962 * * * * [pick]: Picked # 0.962 * * * [progress]: localizing error 0.976 * * * [progress]: generating rewritten candidates 0.976 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 0.984 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 0.988 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.005 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.020 * * * [progress]: generating series expansions 1.020 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.021 * [approximate]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in (n k) around 0 1.021 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 1.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 1.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 1.021 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.021 * [taylor]: Taking taylor expansion of 0.5 in k 1.021 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.021 * [taylor]: Taking taylor expansion of 1.0 in k 1.021 * [taylor]: Taking taylor expansion of k in k 1.021 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 1.021 * [taylor]: Taking taylor expansion of (* n PI) in k 1.021 * [taylor]: Taking taylor expansion of n in k 1.021 * [taylor]: Taking taylor expansion of PI in k 1.021 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 1.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 1.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 1.021 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.021 * [taylor]: Taking taylor expansion of 0.5 in n 1.021 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.021 * [taylor]: Taking taylor expansion of 1.0 in n 1.021 * [taylor]: Taking taylor expansion of k in n 1.021 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.021 * [taylor]: Taking taylor expansion of (* n PI) in n 1.021 * [taylor]: Taking taylor expansion of n in n 1.021 * [taylor]: Taking taylor expansion of PI in n 1.021 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 1.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 1.022 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 1.022 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.022 * [taylor]: Taking taylor expansion of 0.5 in n 1.022 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.022 * [taylor]: Taking taylor expansion of 1.0 in n 1.022 * [taylor]: Taking taylor expansion of k in n 1.022 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.022 * [taylor]: Taking taylor expansion of (* n PI) in n 1.022 * [taylor]: Taking taylor expansion of n in n 1.022 * [taylor]: Taking taylor expansion of PI in n 1.022 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log n) (log PI)) (- 1.0 k)))) in k 1.022 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log n) (log PI)) (- 1.0 k))) in k 1.022 * [taylor]: Taking taylor expansion of 0.5 in k 1.022 * [taylor]: Taking taylor expansion of (* (+ (log n) (log PI)) (- 1.0 k)) in k 1.022 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 1.022 * [taylor]: Taking taylor expansion of (log n) in k 1.022 * [taylor]: Taking taylor expansion of n in k 1.022 * [taylor]: Taking taylor expansion of (log PI) in k 1.022 * [taylor]: Taking taylor expansion of PI in k 1.022 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.022 * [taylor]: Taking taylor expansion of 1.0 in k 1.022 * [taylor]: Taking taylor expansion of k in k 1.023 * [taylor]: Taking taylor expansion of 0 in k 1.024 * [taylor]: Taking taylor expansion of 0 in k 1.026 * [approximate]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.026 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.026 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 1.026 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 1.026 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.026 * [taylor]: Taking taylor expansion of 0.5 in k 1.026 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.026 * [taylor]: Taking taylor expansion of 1.0 in k 1.026 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.026 * [taylor]: Taking taylor expansion of k in k 1.027 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 1.027 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.027 * [taylor]: Taking taylor expansion of PI in k 1.027 * [taylor]: Taking taylor expansion of n in k 1.027 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.027 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.027 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.027 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.027 * [taylor]: Taking taylor expansion of 0.5 in n 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.027 * [taylor]: Taking taylor expansion of 1.0 in n 1.027 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.027 * [taylor]: Taking taylor expansion of k in n 1.027 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.027 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.027 * [taylor]: Taking taylor expansion of PI in n 1.027 * [taylor]: Taking taylor expansion of n in n 1.027 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.027 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.027 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.027 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.027 * [taylor]: Taking taylor expansion of 0.5 in n 1.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.027 * [taylor]: Taking taylor expansion of 1.0 in n 1.027 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.028 * [taylor]: Taking taylor expansion of k in n 1.028 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.028 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.028 * [taylor]: Taking taylor expansion of PI in n 1.028 * [taylor]: Taking taylor expansion of n in n 1.028 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 1.028 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 1.028 * [taylor]: Taking taylor expansion of 0.5 in k 1.028 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 1.028 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 1.028 * [taylor]: Taking taylor expansion of (log PI) in k 1.028 * [taylor]: Taking taylor expansion of PI in k 1.028 * [taylor]: Taking taylor expansion of (log n) in k 1.028 * [taylor]: Taking taylor expansion of n in k 1.028 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.028 * [taylor]: Taking taylor expansion of 1.0 in k 1.028 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.028 * [taylor]: Taking taylor expansion of k in k 1.029 * [taylor]: Taking taylor expansion of 0 in k 1.030 * [taylor]: Taking taylor expansion of 0 in k 1.031 * [taylor]: Taking taylor expansion of 0 in k 1.031 * [approximate]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.031 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.031 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 1.031 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 1.031 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.031 * [taylor]: Taking taylor expansion of 0.5 in k 1.031 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.031 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.031 * [taylor]: Taking taylor expansion of k in k 1.031 * [taylor]: Taking taylor expansion of 1.0 in k 1.031 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1.031 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 1.031 * [taylor]: Taking taylor expansion of -1 in k 1.031 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.031 * [taylor]: Taking taylor expansion of PI in k 1.031 * [taylor]: Taking taylor expansion of n in k 1.032 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.032 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.032 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.032 * [taylor]: Taking taylor expansion of 0.5 in n 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.032 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.032 * [taylor]: Taking taylor expansion of k in n 1.032 * [taylor]: Taking taylor expansion of 1.0 in n 1.032 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.032 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.032 * [taylor]: Taking taylor expansion of -1 in n 1.032 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.032 * [taylor]: Taking taylor expansion of PI in n 1.032 * [taylor]: Taking taylor expansion of n in n 1.032 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.032 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.033 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.033 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.033 * [taylor]: Taking taylor expansion of 0.5 in n 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.033 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.033 * [taylor]: Taking taylor expansion of k in n 1.033 * [taylor]: Taking taylor expansion of 1.0 in n 1.033 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.033 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.033 * [taylor]: Taking taylor expansion of -1 in n 1.033 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.033 * [taylor]: Taking taylor expansion of PI in n 1.033 * [taylor]: Taking taylor expansion of n in n 1.033 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 PI)) (log n))))) in k 1.033 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 PI)) (log n)))) in k 1.033 * [taylor]: Taking taylor expansion of 0.5 in k 1.033 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -1 PI)) (log n))) in k 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.033 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.033 * [taylor]: Taking taylor expansion of k in k 1.033 * [taylor]: Taking taylor expansion of 1.0 in k 1.033 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 1.033 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 1.033 * [taylor]: Taking taylor expansion of (* -1 PI) in k 1.033 * [taylor]: Taking taylor expansion of -1 in k 1.033 * [taylor]: Taking taylor expansion of PI in k 1.033 * [taylor]: Taking taylor expansion of (log n) in k 1.033 * [taylor]: Taking taylor expansion of n in k 1.038 * [taylor]: Taking taylor expansion of 0 in k 1.038 * [taylor]: Taking taylor expansion of 0 in k 1.040 * [taylor]: Taking taylor expansion of 0 in k 1.040 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 1.040 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.040 * [taylor]: Taking taylor expansion of (* n PI) in n 1.040 * [taylor]: Taking taylor expansion of n in n 1.040 * [taylor]: Taking taylor expansion of PI in n 1.040 * [taylor]: Taking taylor expansion of (* n PI) in n 1.040 * [taylor]: Taking taylor expansion of n in n 1.040 * [taylor]: Taking taylor expansion of PI in n 1.040 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.040 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.040 * [taylor]: Taking taylor expansion of PI in n 1.040 * [taylor]: Taking taylor expansion of n in n 1.041 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.041 * [taylor]: Taking taylor expansion of PI in n 1.041 * [taylor]: Taking taylor expansion of n in n 1.041 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.041 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.041 * [taylor]: Taking taylor expansion of -1 in n 1.041 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.041 * [taylor]: Taking taylor expansion of PI in n 1.041 * [taylor]: Taking taylor expansion of n in n 1.041 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.041 * [taylor]: Taking taylor expansion of -1 in n 1.041 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.041 * [taylor]: Taking taylor expansion of PI in n 1.041 * [taylor]: Taking taylor expansion of n in n 1.042 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.043 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in (k n) around 0 1.043 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in n 1.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.043 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.043 * [taylor]: Taking taylor expansion of k in n 1.043 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in n 1.043 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 1.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 1.043 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 1.043 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.043 * [taylor]: Taking taylor expansion of 0.5 in n 1.043 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.043 * [taylor]: Taking taylor expansion of 1.0 in n 1.043 * [taylor]: Taking taylor expansion of k in n 1.043 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.043 * [taylor]: Taking taylor expansion of (* n PI) in n 1.043 * [taylor]: Taking taylor expansion of n in n 1.043 * [taylor]: Taking taylor expansion of PI in n 1.043 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 1.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 1.043 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 1.043 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.043 * [taylor]: Taking taylor expansion of 0.5 in n 1.043 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.043 * [taylor]: Taking taylor expansion of 1.0 in n 1.043 * [taylor]: Taking taylor expansion of k in n 1.043 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.043 * [taylor]: Taking taylor expansion of 2.0 in n 1.044 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.044 * [taylor]: Taking taylor expansion of k in k 1.044 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 1.044 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 1.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 1.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 1.044 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.044 * [taylor]: Taking taylor expansion of 0.5 in k 1.044 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.044 * [taylor]: Taking taylor expansion of 1.0 in k 1.044 * [taylor]: Taking taylor expansion of k in k 1.044 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 1.044 * [taylor]: Taking taylor expansion of (* n PI) in k 1.044 * [taylor]: Taking taylor expansion of n in k 1.044 * [taylor]: Taking taylor expansion of PI in k 1.044 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 1.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 1.044 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 1.044 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.044 * [taylor]: Taking taylor expansion of 0.5 in k 1.044 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.044 * [taylor]: Taking taylor expansion of 1.0 in k 1.044 * [taylor]: Taking taylor expansion of k in k 1.044 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.044 * [taylor]: Taking taylor expansion of 2.0 in k 1.044 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 1.044 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.044 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.044 * [taylor]: Taking taylor expansion of k in k 1.044 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 1.044 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 1.044 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 1.045 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 1.045 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.045 * [taylor]: Taking taylor expansion of 0.5 in k 1.045 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.045 * [taylor]: Taking taylor expansion of 1.0 in k 1.045 * [taylor]: Taking taylor expansion of k in k 1.045 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 1.045 * [taylor]: Taking taylor expansion of (* n PI) in k 1.045 * [taylor]: Taking taylor expansion of n in k 1.045 * [taylor]: Taking taylor expansion of PI in k 1.045 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 1.045 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 1.045 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 1.045 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.045 * [taylor]: Taking taylor expansion of 0.5 in k 1.045 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.045 * [taylor]: Taking taylor expansion of 1.0 in k 1.045 * [taylor]: Taking taylor expansion of k in k 1.045 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.045 * [taylor]: Taking taylor expansion of 2.0 in k 1.045 * [taylor]: Taking taylor expansion of 0 in n 1.047 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.048 * [taylor]: Taking taylor expansion of NAN in n 1.048 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.048 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.048 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.048 * [taylor]: Taking taylor expansion of 0.5 in n 1.048 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.048 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.048 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.048 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.048 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.048 * [taylor]: Taking taylor expansion of 1.0 in n 1.048 * [taylor]: Taking taylor expansion of (log PI) in n 1.048 * [taylor]: Taking taylor expansion of PI in n 1.048 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.048 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.048 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.048 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.048 * [taylor]: Taking taylor expansion of 1.0 in n 1.048 * [taylor]: Taking taylor expansion of (log n) in n 1.048 * [taylor]: Taking taylor expansion of n in n 1.048 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.048 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.048 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.048 * [taylor]: Taking taylor expansion of 1.0 in n 1.048 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.048 * [taylor]: Taking taylor expansion of 2.0 in n 1.054 * [taylor]: Taking taylor expansion of (- (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) (+ (* 0.5 (* (* NAN (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.054 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 1.054 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.054 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.054 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.054 * [taylor]: Taking taylor expansion of 0.5 in n 1.054 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.054 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.054 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.054 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.054 * [taylor]: Taking taylor expansion of 1.0 in n 1.054 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.054 * [taylor]: Taking taylor expansion of 2.0 in n 1.054 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.054 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.054 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.054 * [taylor]: Taking taylor expansion of 1.0 in n 1.054 * [taylor]: Taking taylor expansion of (log n) in n 1.054 * [taylor]: Taking taylor expansion of n in n 1.054 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.054 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.054 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.054 * [taylor]: Taking taylor expansion of 1.0 in n 1.054 * [taylor]: Taking taylor expansion of (log PI) in n 1.054 * [taylor]: Taking taylor expansion of PI in n 1.055 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.055 * [taylor]: Taking taylor expansion of NAN in n 1.055 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* NAN (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.055 * [taylor]: Taking taylor expansion of (* 0.5 (* (* NAN (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.055 * [taylor]: Taking taylor expansion of 0.5 in n 1.055 * [taylor]: Taking taylor expansion of (* (* NAN (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.055 * [taylor]: Taking taylor expansion of (* NAN (log 2.0)) in n 1.055 * [taylor]: Taking taylor expansion of NAN in n 1.055 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.055 * [taylor]: Taking taylor expansion of 2.0 in n 1.055 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.056 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.056 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.056 * [taylor]: Taking taylor expansion of 0.5 in n 1.056 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.056 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.056 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.056 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.056 * [taylor]: Taking taylor expansion of 1.0 in n 1.056 * [taylor]: Taking taylor expansion of (log PI) in n 1.056 * [taylor]: Taking taylor expansion of PI in n 1.056 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.056 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.056 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.056 * [taylor]: Taking taylor expansion of 1.0 in n 1.056 * [taylor]: Taking taylor expansion of (log n) in n 1.056 * [taylor]: Taking taylor expansion of n in n 1.056 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.056 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.056 * [taylor]: Taking taylor expansion of 1.0 in n 1.056 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.056 * [taylor]: Taking taylor expansion of 2.0 in n 1.057 * [taylor]: Taking taylor expansion of (* 0.5 (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.057 * [taylor]: Taking taylor expansion of 0.5 in n 1.057 * [taylor]: Taking taylor expansion of (* (* NAN (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.057 * [taylor]: Taking taylor expansion of (* NAN (log (* n PI))) in n 1.057 * [taylor]: Taking taylor expansion of NAN in n 1.057 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.057 * [taylor]: Taking taylor expansion of (* n PI) in n 1.057 * [taylor]: Taking taylor expansion of n in n 1.057 * [taylor]: Taking taylor expansion of PI in n 1.057 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.057 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.057 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.057 * [taylor]: Taking taylor expansion of 0.5 in n 1.057 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.057 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.057 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.057 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.057 * [taylor]: Taking taylor expansion of 1.0 in n 1.057 * [taylor]: Taking taylor expansion of (log PI) in n 1.057 * [taylor]: Taking taylor expansion of PI in n 1.058 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.058 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.058 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.058 * [taylor]: Taking taylor expansion of 1.0 in n 1.058 * [taylor]: Taking taylor expansion of (log n) in n 1.058 * [taylor]: Taking taylor expansion of n in n 1.058 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.058 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.058 * [taylor]: Taking taylor expansion of 1.0 in n 1.058 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.058 * [taylor]: Taking taylor expansion of 2.0 in n 1.075 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (* (log 2.0) (log (* n PI))))))))) (+ (* 0.5 (* (* (pow NAN 3) (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.075 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (* (log 2.0) (log (* n PI))))))))) in n 1.075 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2)))) in n 1.075 * [taylor]: Taking taylor expansion of 0.125 in n 1.075 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log (* n PI)) 2))) in n 1.075 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.075 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.075 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.075 * [taylor]: Taking taylor expansion of 0.5 in n 1.075 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.075 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.075 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.075 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.075 * [taylor]: Taking taylor expansion of 1.0 in n 1.075 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.075 * [taylor]: Taking taylor expansion of 2.0 in n 1.075 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.075 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.075 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.075 * [taylor]: Taking taylor expansion of 1.0 in n 1.075 * [taylor]: Taking taylor expansion of (log n) in n 1.075 * [taylor]: Taking taylor expansion of n in n 1.075 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.075 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.075 * [taylor]: Taking taylor expansion of 1.0 in n 1.075 * [taylor]: Taking taylor expansion of (log PI) in n 1.076 * [taylor]: Taking taylor expansion of PI in n 1.076 * [taylor]: Taking taylor expansion of (* NAN (pow (log (* n PI)) 2)) in n 1.076 * [taylor]: Taking taylor expansion of NAN in n 1.076 * [taylor]: Taking taylor expansion of (pow (log (* n PI)) 2) in n 1.076 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.076 * [taylor]: Taking taylor expansion of (* n PI) in n 1.076 * [taylor]: Taking taylor expansion of n in n 1.077 * [taylor]: Taking taylor expansion of PI in n 1.077 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (* (log 2.0) (log (* n PI)))))))) in n 1.077 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) in n 1.077 * [taylor]: Taking taylor expansion of 0.125 in n 1.077 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2))) in n 1.077 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.077 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.077 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.077 * [taylor]: Taking taylor expansion of 0.5 in n 1.077 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.077 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.077 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.077 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.077 * [taylor]: Taking taylor expansion of 1.0 in n 1.077 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.077 * [taylor]: Taking taylor expansion of 2.0 in n 1.077 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.077 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.077 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.077 * [taylor]: Taking taylor expansion of 1.0 in n 1.077 * [taylor]: Taking taylor expansion of (log n) in n 1.077 * [taylor]: Taking taylor expansion of n in n 1.077 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.077 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.077 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.077 * [taylor]: Taking taylor expansion of 1.0 in n 1.077 * [taylor]: Taking taylor expansion of (log PI) in n 1.077 * [taylor]: Taking taylor expansion of PI in n 1.078 * [taylor]: Taking taylor expansion of (* NAN (pow (log 2.0) 2)) in n 1.078 * [taylor]: Taking taylor expansion of NAN in n 1.078 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 1.078 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.078 * [taylor]: Taking taylor expansion of 2.0 in n 1.078 * [taylor]: Taking taylor expansion of (+ (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (* (log 2.0) (log (* n PI))))))) in n 1.078 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.078 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.078 * [taylor]: Taking taylor expansion of NAN in n 1.078 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.079 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.079 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.079 * [taylor]: Taking taylor expansion of 0.5 in n 1.079 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.079 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.079 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.079 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.079 * [taylor]: Taking taylor expansion of 1.0 in n 1.079 * [taylor]: Taking taylor expansion of (log PI) in n 1.079 * [taylor]: Taking taylor expansion of PI in n 1.079 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.079 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.079 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.079 * [taylor]: Taking taylor expansion of 1.0 in n 1.079 * [taylor]: Taking taylor expansion of (log n) in n 1.079 * [taylor]: Taking taylor expansion of n in n 1.079 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.079 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.079 * [taylor]: Taking taylor expansion of 1.0 in n 1.079 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.079 * [taylor]: Taking taylor expansion of 2.0 in n 1.080 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (* (log 2.0) (log (* n PI)))))) in n 1.080 * [taylor]: Taking taylor expansion of 0.25 in n 1.080 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (* (log 2.0) (log (* n PI))))) in n 1.080 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.080 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.080 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.080 * [taylor]: Taking taylor expansion of 0.5 in n 1.080 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.080 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.080 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.080 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.080 * [taylor]: Taking taylor expansion of 1.0 in n 1.080 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.080 * [taylor]: Taking taylor expansion of 2.0 in n 1.080 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.080 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.080 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.080 * [taylor]: Taking taylor expansion of 1.0 in n 1.080 * [taylor]: Taking taylor expansion of (log n) in n 1.081 * [taylor]: Taking taylor expansion of n in n 1.081 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.081 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.081 * [taylor]: Taking taylor expansion of 1.0 in n 1.081 * [taylor]: Taking taylor expansion of (log PI) in n 1.081 * [taylor]: Taking taylor expansion of PI in n 1.082 * [taylor]: Taking taylor expansion of (* NAN (* (log 2.0) (log (* n PI)))) in n 1.082 * [taylor]: Taking taylor expansion of NAN in n 1.082 * [taylor]: Taking taylor expansion of (* (log 2.0) (log (* n PI))) in n 1.082 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.082 * [taylor]: Taking taylor expansion of 2.0 in n 1.082 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.082 * [taylor]: Taking taylor expansion of (* n PI) in n 1.082 * [taylor]: Taking taylor expansion of n in n 1.082 * [taylor]: Taking taylor expansion of PI in n 1.082 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (pow NAN 3) (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.082 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (pow NAN 3) (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.082 * [taylor]: Taking taylor expansion of 0.5 in n 1.082 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (log 2.0)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.082 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log 2.0)) in n 1.082 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.082 * [taylor]: Taking taylor expansion of NAN in n 1.082 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.082 * [taylor]: Taking taylor expansion of 2.0 in n 1.082 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.082 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.082 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.082 * [taylor]: Taking taylor expansion of 0.5 in n 1.082 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.082 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.082 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.082 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.082 * [taylor]: Taking taylor expansion of 1.0 in n 1.082 * [taylor]: Taking taylor expansion of (log PI) in n 1.082 * [taylor]: Taking taylor expansion of PI in n 1.082 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.082 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.082 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.082 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.082 * [taylor]: Taking taylor expansion of 1.0 in n 1.082 * [taylor]: Taking taylor expansion of (log n) in n 1.082 * [taylor]: Taking taylor expansion of n in n 1.083 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.083 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.083 * [taylor]: Taking taylor expansion of 1.0 in n 1.083 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.083 * [taylor]: Taking taylor expansion of 2.0 in n 1.084 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.084 * [taylor]: Taking taylor expansion of 0.5 in n 1.084 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (log (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.084 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log (* n PI))) in n 1.084 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.084 * [taylor]: Taking taylor expansion of NAN in n 1.084 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.084 * [taylor]: Taking taylor expansion of (* n PI) in n 1.084 * [taylor]: Taking taylor expansion of n in n 1.084 * [taylor]: Taking taylor expansion of PI in n 1.084 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.084 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.084 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.084 * [taylor]: Taking taylor expansion of 0.5 in n 1.084 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.084 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.084 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.084 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.084 * [taylor]: Taking taylor expansion of 1.0 in n 1.084 * [taylor]: Taking taylor expansion of (log PI) in n 1.084 * [taylor]: Taking taylor expansion of PI in n 1.084 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.084 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.084 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.084 * [taylor]: Taking taylor expansion of 1.0 in n 1.084 * [taylor]: Taking taylor expansion of (log n) in n 1.084 * [taylor]: Taking taylor expansion of n in n 1.084 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.084 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.085 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.085 * [taylor]: Taking taylor expansion of 1.0 in n 1.085 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.085 * [taylor]: Taking taylor expansion of 2.0 in n 1.114 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 1.114 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.114 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.114 * [taylor]: Taking taylor expansion of k in n 1.114 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in n 1.114 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.114 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.114 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.114 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.114 * [taylor]: Taking taylor expansion of 0.5 in n 1.114 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.114 * [taylor]: Taking taylor expansion of 1.0 in n 1.114 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.114 * [taylor]: Taking taylor expansion of k in n 1.114 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.114 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.114 * [taylor]: Taking taylor expansion of PI in n 1.115 * [taylor]: Taking taylor expansion of n in n 1.115 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 1.115 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 1.115 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 1.115 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.115 * [taylor]: Taking taylor expansion of 0.5 in n 1.115 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.115 * [taylor]: Taking taylor expansion of 1.0 in n 1.115 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.115 * [taylor]: Taking taylor expansion of k in n 1.115 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.115 * [taylor]: Taking taylor expansion of 2.0 in n 1.115 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.115 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.115 * [taylor]: Taking taylor expansion of k in k 1.115 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 1.115 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.115 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 1.115 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 1.115 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.115 * [taylor]: Taking taylor expansion of 0.5 in k 1.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.116 * [taylor]: Taking taylor expansion of 1.0 in k 1.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.116 * [taylor]: Taking taylor expansion of k in k 1.116 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 1.116 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.116 * [taylor]: Taking taylor expansion of PI in k 1.116 * [taylor]: Taking taylor expansion of n in k 1.116 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 1.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 1.116 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 1.116 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.116 * [taylor]: Taking taylor expansion of 0.5 in k 1.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.116 * [taylor]: Taking taylor expansion of 1.0 in k 1.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.116 * [taylor]: Taking taylor expansion of k in k 1.116 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.116 * [taylor]: Taking taylor expansion of 2.0 in k 1.116 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.116 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.116 * [taylor]: Taking taylor expansion of k in k 1.116 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 1.116 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.116 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 1.116 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 1.116 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.116 * [taylor]: Taking taylor expansion of 0.5 in k 1.116 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.116 * [taylor]: Taking taylor expansion of 1.0 in k 1.116 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.116 * [taylor]: Taking taylor expansion of k in k 1.117 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 1.117 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.117 * [taylor]: Taking taylor expansion of PI in k 1.117 * [taylor]: Taking taylor expansion of n in k 1.117 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 1.117 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 1.117 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 1.117 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.117 * [taylor]: Taking taylor expansion of 0.5 in k 1.117 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.117 * [taylor]: Taking taylor expansion of 1.0 in k 1.117 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.117 * [taylor]: Taking taylor expansion of k in k 1.117 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.117 * [taylor]: Taking taylor expansion of 2.0 in k 1.117 * [taylor]: Taking taylor expansion of 0 in n 1.118 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* NAN (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))))) in n 1.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 1.118 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 1.118 * [taylor]: Taking taylor expansion of 0.5 in n 1.118 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 1.118 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.118 * [taylor]: Taking taylor expansion of 2.0 in n 1.118 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.118 * [taylor]: Taking taylor expansion of 1.0 in n 1.118 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.118 * [taylor]: Taking taylor expansion of k in n 1.118 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))))) in n 1.118 * [taylor]: Taking taylor expansion of NAN in n 1.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 1.118 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 1.118 * [taylor]: Taking taylor expansion of 0.5 in n 1.118 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 1.118 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.118 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.118 * [taylor]: Taking taylor expansion of PI in n 1.118 * [taylor]: Taking taylor expansion of n in n 1.119 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.119 * [taylor]: Taking taylor expansion of 1.0 in n 1.119 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.119 * [taylor]: Taking taylor expansion of k in n 1.120 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* (pow NAN 3) (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))))) in n 1.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 1.120 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 1.120 * [taylor]: Taking taylor expansion of 0.5 in n 1.120 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 1.120 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.120 * [taylor]: Taking taylor expansion of 2.0 in n 1.120 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.120 * [taylor]: Taking taylor expansion of 1.0 in n 1.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.120 * [taylor]: Taking taylor expansion of k in n 1.120 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))))) in n 1.120 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.120 * [taylor]: Taking taylor expansion of NAN in n 1.120 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 1.120 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 1.120 * [taylor]: Taking taylor expansion of 0.5 in n 1.120 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 1.121 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.121 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.121 * [taylor]: Taking taylor expansion of PI in n 1.121 * [taylor]: Taking taylor expansion of n in n 1.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.121 * [taylor]: Taking taylor expansion of 1.0 in n 1.121 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.121 * [taylor]: Taking taylor expansion of k in n 1.124 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* (pow NAN 5) (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))))) in n 1.124 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 1.124 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 1.124 * [taylor]: Taking taylor expansion of 0.5 in n 1.124 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 1.124 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.124 * [taylor]: Taking taylor expansion of 2.0 in n 1.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.124 * [taylor]: Taking taylor expansion of 1.0 in n 1.124 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.124 * [taylor]: Taking taylor expansion of k in n 1.124 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))))) in n 1.124 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.124 * [taylor]: Taking taylor expansion of NAN in n 1.124 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 1.124 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 1.124 * [taylor]: Taking taylor expansion of 0.5 in n 1.124 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 1.124 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.124 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.124 * [taylor]: Taking taylor expansion of PI in n 1.124 * [taylor]: Taking taylor expansion of n in n 1.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.124 * [taylor]: Taking taylor expansion of 1.0 in n 1.124 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.124 * [taylor]: Taking taylor expansion of k in n 1.127 * [approximate]: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in (k n) around 0 1.127 * [taylor]: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 1.127 * [taylor]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in n 1.127 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.127 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.127 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.127 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.127 * [taylor]: Taking taylor expansion of 0.5 in n 1.127 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.127 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.127 * [taylor]: Taking taylor expansion of k in n 1.127 * [taylor]: Taking taylor expansion of 1.0 in n 1.127 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.127 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.129 * [taylor]: Taking taylor expansion of -1 in n 1.129 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.129 * [taylor]: Taking taylor expansion of PI in n 1.129 * [taylor]: Taking taylor expansion of n in n 1.129 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 1.129 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 1.129 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 1.129 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.129 * [taylor]: Taking taylor expansion of 0.5 in n 1.129 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.129 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.129 * [taylor]: Taking taylor expansion of k in n 1.130 * [taylor]: Taking taylor expansion of 1.0 in n 1.130 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.130 * [taylor]: Taking taylor expansion of 2.0 in n 1.130 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.130 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.130 * [taylor]: Taking taylor expansion of -1 in n 1.130 * [taylor]: Taking taylor expansion of k in n 1.130 * [taylor]: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 1.130 * [taylor]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.130 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.130 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 1.130 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 1.130 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.130 * [taylor]: Taking taylor expansion of 0.5 in k 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.131 * [taylor]: Taking taylor expansion of k in k 1.131 * [taylor]: Taking taylor expansion of 1.0 in k 1.131 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1.131 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 1.131 * [taylor]: Taking taylor expansion of -1 in k 1.131 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.131 * [taylor]: Taking taylor expansion of PI in k 1.131 * [taylor]: Taking taylor expansion of n in k 1.131 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 1.131 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 1.131 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 1.131 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.131 * [taylor]: Taking taylor expansion of 0.5 in k 1.131 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.131 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.131 * [taylor]: Taking taylor expansion of k in k 1.131 * [taylor]: Taking taylor expansion of 1.0 in k 1.131 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.131 * [taylor]: Taking taylor expansion of 2.0 in k 1.131 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.131 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.131 * [taylor]: Taking taylor expansion of -1 in k 1.131 * [taylor]: Taking taylor expansion of k in k 1.132 * [taylor]: Taking taylor expansion of (/ (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 1.132 * [taylor]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.132 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.132 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 1.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 1.132 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.132 * [taylor]: Taking taylor expansion of 0.5 in k 1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.132 * [taylor]: Taking taylor expansion of k in k 1.132 * [taylor]: Taking taylor expansion of 1.0 in k 1.132 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1.132 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 1.132 * [taylor]: Taking taylor expansion of -1 in k 1.132 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.132 * [taylor]: Taking taylor expansion of PI in k 1.132 * [taylor]: Taking taylor expansion of n in k 1.132 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 1.132 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 1.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 1.132 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.132 * [taylor]: Taking taylor expansion of 0.5 in k 1.132 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.132 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.132 * [taylor]: Taking taylor expansion of k in k 1.133 * [taylor]: Taking taylor expansion of 1.0 in k 1.133 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.133 * [taylor]: Taking taylor expansion of 2.0 in k 1.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.133 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.133 * [taylor]: Taking taylor expansion of -1 in k 1.133 * [taylor]: Taking taylor expansion of k in k 1.133 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))))) NAN) in n 1.133 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))))) in n 1.133 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 1.133 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 1.133 * [taylor]: Taking taylor expansion of 0.5 in n 1.133 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.133 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.133 * [taylor]: Taking taylor expansion of k in n 1.133 * [taylor]: Taking taylor expansion of 1.0 in n 1.133 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.133 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.133 * [taylor]: Taking taylor expansion of -1 in n 1.133 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.133 * [taylor]: Taking taylor expansion of PI in n 1.133 * [taylor]: Taking taylor expansion of n in n 1.134 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) in n 1.134 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))) in n 1.134 * [taylor]: Taking taylor expansion of 0.5 in n 1.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log 2.0)) in n 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.134 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.134 * [taylor]: Taking taylor expansion of k in n 1.134 * [taylor]: Taking taylor expansion of 1.0 in n 1.134 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.134 * [taylor]: Taking taylor expansion of 2.0 in n 1.134 * [taylor]: Taking taylor expansion of NAN in n 1.136 * [taylor]: Taking taylor expansion of (neg (* NAN (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))))))) in n 1.136 * [taylor]: Taking taylor expansion of (* NAN (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))))) in n 1.136 * [taylor]: Taking taylor expansion of NAN in n 1.136 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))))) in n 1.136 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 1.136 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 1.136 * [taylor]: Taking taylor expansion of 0.5 in n 1.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 1.136 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.136 * [taylor]: Taking taylor expansion of k in n 1.136 * [taylor]: Taking taylor expansion of 1.0 in n 1.136 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.136 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.136 * [taylor]: Taking taylor expansion of -1 in n 1.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.136 * [taylor]: Taking taylor expansion of PI in n 1.136 * [taylor]: Taking taylor expansion of n in n 1.136 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) in n 1.136 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))) in n 1.136 * [taylor]: Taking taylor expansion of 0.5 in n 1.136 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log 2.0)) in n 1.136 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.136 * [taylor]: Taking taylor expansion of k in n 1.136 * [taylor]: Taking taylor expansion of 1.0 in n 1.136 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.136 * [taylor]: Taking taylor expansion of 2.0 in n 1.140 * [taylor]: Taking taylor expansion of 0 in n 1.144 * [taylor]: Taking taylor expansion of 0 in n 1.145 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.145 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* n PI) (* 0.5 (- 1.0 k)))) in (n k) around 0 1.145 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* n PI) (* 0.5 (- 1.0 k)))) in k 1.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.145 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.145 * [taylor]: Taking taylor expansion of k in k 1.145 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 1.145 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 1.145 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 1.145 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.145 * [taylor]: Taking taylor expansion of 0.5 in k 1.145 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.145 * [taylor]: Taking taylor expansion of 1.0 in k 1.145 * [taylor]: Taking taylor expansion of k in k 1.145 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 1.145 * [taylor]: Taking taylor expansion of (* n PI) in k 1.145 * [taylor]: Taking taylor expansion of n in k 1.145 * [taylor]: Taking taylor expansion of PI in k 1.146 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* n PI) (* 0.5 (- 1.0 k)))) in n 1.146 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.146 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.146 * [taylor]: Taking taylor expansion of k in n 1.146 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 1.146 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 1.146 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 1.146 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.146 * [taylor]: Taking taylor expansion of 0.5 in n 1.146 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.146 * [taylor]: Taking taylor expansion of 1.0 in n 1.146 * [taylor]: Taking taylor expansion of k in n 1.146 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.146 * [taylor]: Taking taylor expansion of (* n PI) in n 1.146 * [taylor]: Taking taylor expansion of n in n 1.146 * [taylor]: Taking taylor expansion of PI in n 1.146 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* n PI) (* 0.5 (- 1.0 k)))) in n 1.146 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.146 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.146 * [taylor]: Taking taylor expansion of k in n 1.146 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 1.146 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 1.146 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 1.146 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.146 * [taylor]: Taking taylor expansion of 0.5 in n 1.146 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.147 * [taylor]: Taking taylor expansion of 1.0 in n 1.147 * [taylor]: Taking taylor expansion of k in n 1.147 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.147 * [taylor]: Taking taylor expansion of (* n PI) in n 1.147 * [taylor]: Taking taylor expansion of n in n 1.147 * [taylor]: Taking taylor expansion of PI in n 1.147 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (+ (log n) (log PI)) (- 1.0 k))))) in k 1.147 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.147 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.147 * [taylor]: Taking taylor expansion of k in k 1.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log n) (log PI)) (- 1.0 k)))) in k 1.147 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log n) (log PI)) (- 1.0 k))) in k 1.147 * [taylor]: Taking taylor expansion of 0.5 in k 1.147 * [taylor]: Taking taylor expansion of (* (+ (log n) (log PI)) (- 1.0 k)) in k 1.147 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 1.147 * [taylor]: Taking taylor expansion of (log n) in k 1.147 * [taylor]: Taking taylor expansion of n in k 1.147 * [taylor]: Taking taylor expansion of (log PI) in k 1.147 * [taylor]: Taking taylor expansion of PI in k 1.147 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.147 * [taylor]: Taking taylor expansion of 1.0 in k 1.147 * [taylor]: Taking taylor expansion of k in k 1.148 * [taylor]: Taking taylor expansion of 0 in k 1.150 * [taylor]: Taking taylor expansion of 0 in k 1.153 * [taylor]: Taking taylor expansion of 0 in k 1.160 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 1.160 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.160 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.160 * [taylor]: Taking taylor expansion of k in k 1.160 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.160 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 1.160 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 1.160 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.160 * [taylor]: Taking taylor expansion of 0.5 in k 1.160 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.160 * [taylor]: Taking taylor expansion of 1.0 in k 1.160 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.160 * [taylor]: Taking taylor expansion of k in k 1.160 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 1.160 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.160 * [taylor]: Taking taylor expansion of PI in k 1.160 * [taylor]: Taking taylor expansion of n in k 1.160 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.160 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.161 * [taylor]: Taking taylor expansion of k in n 1.161 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.161 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.161 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.161 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.161 * [taylor]: Taking taylor expansion of 0.5 in n 1.161 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.161 * [taylor]: Taking taylor expansion of 1.0 in n 1.161 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.161 * [taylor]: Taking taylor expansion of k in n 1.161 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.161 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.161 * [taylor]: Taking taylor expansion of PI in n 1.161 * [taylor]: Taking taylor expansion of n in n 1.161 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.161 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.161 * [taylor]: Taking taylor expansion of k in n 1.161 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.162 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.162 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.162 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.162 * [taylor]: Taking taylor expansion of 0.5 in n 1.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.162 * [taylor]: Taking taylor expansion of 1.0 in n 1.162 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.162 * [taylor]: Taking taylor expansion of k in n 1.162 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.162 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.162 * [taylor]: Taking taylor expansion of PI in n 1.162 * [taylor]: Taking taylor expansion of n in n 1.162 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))))) in k 1.162 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.162 * [taylor]: Taking taylor expansion of k in k 1.162 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 1.162 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 1.163 * [taylor]: Taking taylor expansion of 0.5 in k 1.163 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 1.163 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 1.163 * [taylor]: Taking taylor expansion of (log PI) in k 1.163 * [taylor]: Taking taylor expansion of PI in k 1.163 * [taylor]: Taking taylor expansion of (log n) in k 1.163 * [taylor]: Taking taylor expansion of n in k 1.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.163 * [taylor]: Taking taylor expansion of 1.0 in k 1.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.163 * [taylor]: Taking taylor expansion of k in k 1.164 * [taylor]: Taking taylor expansion of 0 in k 1.165 * [taylor]: Taking taylor expansion of 0 in k 1.166 * [taylor]: Taking taylor expansion of 0 in k 1.168 * [approximate]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 1.168 * [taylor]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.168 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.168 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 1.168 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 1.168 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.168 * [taylor]: Taking taylor expansion of 0.5 in k 1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.168 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.168 * [taylor]: Taking taylor expansion of k in k 1.168 * [taylor]: Taking taylor expansion of 1.0 in k 1.168 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1.168 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 1.168 * [taylor]: Taking taylor expansion of -1 in k 1.168 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.168 * [taylor]: Taking taylor expansion of PI in k 1.168 * [taylor]: Taking taylor expansion of n in k 1.169 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.169 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.169 * [taylor]: Taking taylor expansion of -1 in k 1.169 * [taylor]: Taking taylor expansion of k in k 1.169 * [taylor]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.169 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.169 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.169 * [taylor]: Taking taylor expansion of 0.5 in n 1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.169 * [taylor]: Taking taylor expansion of k in n 1.169 * [taylor]: Taking taylor expansion of 1.0 in n 1.169 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.169 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.169 * [taylor]: Taking taylor expansion of -1 in n 1.169 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.169 * [taylor]: Taking taylor expansion of PI in n 1.169 * [taylor]: Taking taylor expansion of n in n 1.169 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.169 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.169 * [taylor]: Taking taylor expansion of -1 in n 1.170 * [taylor]: Taking taylor expansion of k in n 1.170 * [taylor]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.170 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.170 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.170 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.170 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.170 * [taylor]: Taking taylor expansion of 0.5 in n 1.170 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.170 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.170 * [taylor]: Taking taylor expansion of k in n 1.170 * [taylor]: Taking taylor expansion of 1.0 in n 1.170 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.170 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.170 * [taylor]: Taking taylor expansion of -1 in n 1.170 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.170 * [taylor]: Taking taylor expansion of PI in n 1.170 * [taylor]: Taking taylor expansion of n in n 1.170 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.170 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.170 * [taylor]: Taking taylor expansion of -1 in n 1.170 * [taylor]: Taking taylor expansion of k in n 1.171 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.171 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 PI)) (log n))))) in k 1.171 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -1 PI)) (log n)))) in k 1.171 * [taylor]: Taking taylor expansion of 0.5 in k 1.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -1 PI)) (log n))) in k 1.171 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.171 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.171 * [taylor]: Taking taylor expansion of k in k 1.171 * [taylor]: Taking taylor expansion of 1.0 in k 1.171 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 1.171 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 1.171 * [taylor]: Taking taylor expansion of (* -1 PI) in k 1.171 * [taylor]: Taking taylor expansion of -1 in k 1.171 * [taylor]: Taking taylor expansion of PI in k 1.171 * [taylor]: Taking taylor expansion of (log n) in k 1.171 * [taylor]: Taking taylor expansion of n in k 1.171 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.171 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.171 * [taylor]: Taking taylor expansion of -1 in k 1.171 * [taylor]: Taking taylor expansion of k in k 1.173 * [taylor]: Taking taylor expansion of 0 in k 1.174 * [taylor]: Taking taylor expansion of 0 in k 1.176 * [taylor]: Taking taylor expansion of 0 in k 1.177 * * * [progress]: simplifying candidates 1.180 * [simplify]: Simplifying using # : (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0)) (pow (* PI n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* PI n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* PI n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI n) (/ (sqrt (- 1.0 k)) 1)) (pow (* PI n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI n) (/ 1 (sqrt 2.0))) (pow (* PI n) (/ 1 1)) (pow (* PI n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* PI n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* PI n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI n) (/ 1 (sqrt 2.0))) (pow (* PI n) (/ 1 1)) (pow (* PI n) 1) (pow (* PI n) (- 1.0 k)) (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* PI n) (/ (- 1.0 k) 2.0))) (exp (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (pow (* PI n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (pow (* PI n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (* (+ (log PI) (log n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (pow (* PI n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (* (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ k 2.0)) (sqrt k)) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt 1))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) 1)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI n) (/ (- 1.0 k) 2.0)))) (sqrt 1))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (cbrt (pow (* PI n) (/ (- 1.0 k) 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k)) (+ (pow (* PI n) 0.5) (+ (* (pow (* PI n) 0.5) (* (* (log PI) (* (log n) (* k k))) 0.25)) (- (* 0.125 (* (pow (* PI n) 0.5) (+ (* k (* k (pow (log n) 2))) (* k (* k (pow (log PI) 2)))))) (* 0.5 (* (pow (* PI n) 0.5) (+ (* (log n) k) (* (log PI) k))))))) (pow (* PI n) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (neg PI)) (log (/ -1 n))))) (* PI n) (* PI n) (* PI n) (+ (* (log PI) (* (* NAN (* (* (log n) (* k k)) (pow (* (pow PI 1.0) (* (pow (* (pow n 1.0) (pow 1 1.0)) 1.0) (pow 2.0 1.0))) 0.5))) 0.25)) (+ (* (pow (* (pow PI 1.0) (* (pow (* (pow n 1.0) (pow 1 1.0)) 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* (pow (log n) 2) NAN)))) (* 0.125 (* k (* k (* (pow (log PI) 2) NAN)))))) (- (+ (+ (* (pow (* (pow PI 1.0) (* (pow (* (pow n 1.0) (pow 1 1.0)) 1.0) (pow 2.0 1.0))) 0.5) (+ NAN (* 0.25 (* (log PI) (* (log 2.0) (* k (* k NAN))))))) (* (pow (* (pow PI 1.0) (* (pow (* (pow n 1.0) (pow 1 1.0)) 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log 2.0) 2))))) (* k (pow NAN 3))))) (* (pow (* (pow PI 1.0) (* (pow (* (pow n 1.0) (pow 1 1.0)) 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.25 (* (* k k) (* (* (log n) (log 2.0)) NAN))) (* k (* k (pow NAN 5)))))) (+ (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow (* (pow n 1.0) (pow 1 1.0)) 1.0) (pow 2.0 1.0))) 0.5) (+ (* (log n) (* k NAN)) (* k (* k (* (log 2.0) (pow NAN 3))))))) (* (pow (* (pow PI 1.0) (* (pow (* (pow n 1.0) (pow 1 1.0)) 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (log PI) (* k (* k (pow NAN 3))))) (* 0.5 (* (log PI) (* k NAN)))))) (* (pow (* (pow PI 1.0) (* (pow (* (pow n 1.0) (pow 1 1.0)) 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (* (log 2.0) NAN))) (* 0.5 (* (log n) (* k (* k (pow NAN 3))))))))))) (+ (* (/ (pow NAN 5) (pow k 3)) (* (pow (* PI n) (* (- 1.0 k) 0.5)) (pow 2.0 (* (- 1.0 k) 0.5)))) (+ (* (/ NAN k) (* (pow (* PI n) (* (- 1.0 k) 0.5)) (pow 2.0 (* (- 1.0 k) 0.5)))) (* (/ (* (pow (* PI n) (* (- 1.0 k) 0.5)) (pow 2.0 (* (- 1.0 k) 0.5))) k) (/ (pow NAN 3) k)))) (+ (/ (pow (exp 0.5) (+ (* 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(- (log (neg PI)) (log (/ -1 n))))) NAN)) 1.228 * * * [progress]: adding candidates to table 1.637 * * [progress]: iteration 4 / 4 1.637 * * * [progress]: picking best candidate 1.662 * * * * [pick]: Picked # 1.662 * * * [progress]: localizing error 1.679 * * * [progress]: generating rewritten candidates 1.679 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 1.686 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.699 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.708 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 2) 1.723 * * * [progress]: generating series expansions 1.723 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 1.723 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 1.723 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 1.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 1.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 1.723 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.723 * [taylor]: Taking taylor expansion of 0.5 in k 1.723 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.723 * [taylor]: Taking taylor expansion of 1.0 in k 1.723 * [taylor]: Taking taylor expansion of k in k 1.723 * [taylor]: Taking taylor expansion of (log PI) in k 1.723 * [taylor]: Taking taylor expansion of PI in k 1.723 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 1.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 1.723 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 1.724 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.724 * [taylor]: Taking taylor expansion of 0.5 in k 1.724 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.724 * [taylor]: Taking taylor expansion of 1.0 in k 1.724 * [taylor]: Taking taylor expansion of k in k 1.724 * [taylor]: Taking taylor expansion of (log PI) in k 1.724 * [taylor]: Taking taylor expansion of PI in k 1.725 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 1.725 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 1.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 1.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 1.725 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.726 * [taylor]: Taking taylor expansion of 0.5 in k 1.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.726 * [taylor]: Taking taylor expansion of 1.0 in k 1.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.726 * [taylor]: Taking taylor expansion of k in k 1.726 * [taylor]: Taking taylor expansion of (log PI) in k 1.726 * [taylor]: Taking taylor expansion of PI in k 1.726 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 1.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 1.726 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 1.726 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.726 * [taylor]: Taking taylor expansion of 0.5 in k 1.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.726 * [taylor]: Taking taylor expansion of 1.0 in k 1.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.726 * [taylor]: Taking taylor expansion of k in k 1.726 * [taylor]: Taking taylor expansion of (log PI) in k 1.726 * [taylor]: Taking taylor expansion of PI in k 1.727 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 1.727 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 1.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 1.727 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.727 * [taylor]: Taking taylor expansion of 0.5 in k 1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.727 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.727 * [taylor]: Taking taylor expansion of k in k 1.727 * [taylor]: Taking taylor expansion of 1.0 in k 1.727 * [taylor]: Taking taylor expansion of (log PI) in k 1.727 * [taylor]: Taking taylor expansion of PI in k 1.727 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 1.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 1.727 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.727 * [taylor]: Taking taylor expansion of 0.5 in k 1.727 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.727 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.727 * [taylor]: Taking taylor expansion of k in k 1.727 * [taylor]: Taking taylor expansion of 1.0 in k 1.727 * [taylor]: Taking taylor expansion of (log PI) in k 1.727 * [taylor]: Taking taylor expansion of PI in k 1.728 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.728 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k n) around 0 1.728 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in n 1.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.728 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in n 1.728 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.728 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.728 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.728 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.728 * [taylor]: Taking taylor expansion of 0.5 in n 1.728 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.728 * [taylor]: Taking taylor expansion of 1.0 in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (log n) in n 1.728 * [taylor]: Taking taylor expansion of n in n 1.729 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in n 1.729 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 1.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 1.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 1.729 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.729 * [taylor]: Taking taylor expansion of 0.5 in n 1.729 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.729 * [taylor]: Taking taylor expansion of 1.0 in n 1.729 * [taylor]: Taking taylor expansion of k in n 1.729 * [taylor]: Taking taylor expansion of (log PI) in n 1.729 * [taylor]: Taking taylor expansion of PI in n 1.729 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 1.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 1.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 1.729 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.729 * [taylor]: Taking taylor expansion of 0.5 in n 1.729 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.729 * [taylor]: Taking taylor expansion of 1.0 in n 1.729 * [taylor]: Taking taylor expansion of k in n 1.729 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.729 * [taylor]: Taking taylor expansion of 2.0 in n 1.729 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 1.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.729 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.729 * [taylor]: Taking taylor expansion of k in k 1.729 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 1.729 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.729 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.729 * [taylor]: Taking taylor expansion of 0.5 in k 1.729 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.729 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of (log n) in k 1.730 * [taylor]: Taking taylor expansion of n in k 1.730 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 1.730 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 1.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 1.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 1.730 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.730 * [taylor]: Taking taylor expansion of 0.5 in k 1.730 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.730 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of (log PI) in k 1.730 * [taylor]: Taking taylor expansion of PI in k 1.730 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 1.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 1.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 1.730 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.730 * [taylor]: Taking taylor expansion of 0.5 in k 1.730 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.730 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of k 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 1.730 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow n (* 0.5 (- 1.0 k))) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 1.730 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 1.730 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.730 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.730 * [taylor]: Taking taylor expansion of 0.5 in k 1.730 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.730 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.731 * [taylor]: Taking taylor expansion of (log n) in k 1.731 * [taylor]: Taking taylor expansion of n in k 1.731 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 1.731 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 1.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 1.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 1.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.731 * [taylor]: Taking taylor expansion of 0.5 in k 1.731 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.731 * [taylor]: Taking taylor expansion of 1.0 in k 1.731 * [taylor]: Taking taylor expansion of k in k 1.731 * [taylor]: Taking taylor expansion of (log PI) in k 1.731 * [taylor]: Taking taylor expansion of PI in k 1.731 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 1.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 1.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 1.731 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.731 * [taylor]: Taking taylor expansion of 0.5 in k 1.731 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.731 * [taylor]: Taking taylor expansion of 1.0 in k 1.731 * [taylor]: Taking taylor expansion of k in k 1.731 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.731 * [taylor]: Taking taylor expansion of 2.0 in k 1.732 * [taylor]: Taking taylor expansion of 0 in n 1.735 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.735 * [taylor]: Taking taylor expansion of NAN in n 1.735 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.735 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.735 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.735 * [taylor]: Taking taylor expansion of 0.5 in n 1.735 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.735 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.735 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.735 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.735 * [taylor]: Taking taylor expansion of 1.0 in n 1.735 * [taylor]: Taking taylor expansion of (log PI) in n 1.735 * [taylor]: Taking taylor expansion of PI in n 1.735 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.735 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.735 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.735 * [taylor]: Taking taylor expansion of 1.0 in n 1.735 * [taylor]: Taking taylor expansion of (log n) in n 1.735 * [taylor]: Taking taylor expansion of n in n 1.735 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.735 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.735 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.735 * [taylor]: Taking taylor expansion of 1.0 in n 1.735 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.736 * [taylor]: Taking taylor expansion of 2.0 in n 1.748 * [taylor]: Taking taylor expansion of (- (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) (+ (* 0.5 (* (* NAN (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (log 2.0)))) (* 0.5 (* (* (log PI) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 1.748 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 1.748 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.748 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.748 * [taylor]: Taking taylor expansion of 0.5 in n 1.748 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.748 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.749 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.749 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.749 * [taylor]: Taking taylor expansion of 1.0 in n 1.749 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.749 * [taylor]: Taking taylor expansion of 2.0 in n 1.749 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.749 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.749 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.749 * [taylor]: Taking taylor expansion of 1.0 in n 1.749 * [taylor]: Taking taylor expansion of (log n) in n 1.749 * [taylor]: Taking taylor expansion of n in n 1.749 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.749 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.749 * [taylor]: Taking taylor expansion of 1.0 in n 1.749 * [taylor]: Taking taylor expansion of (log PI) in n 1.749 * [taylor]: Taking taylor expansion of PI in n 1.750 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.750 * [taylor]: Taking taylor expansion of NAN in n 1.750 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* NAN (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (log 2.0)))) (* 0.5 (* (* (log PI) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 1.750 * [taylor]: Taking taylor expansion of (* 0.5 (* (* NAN (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.750 * [taylor]: Taking taylor expansion of 0.5 in n 1.750 * [taylor]: Taking taylor expansion of (* (* NAN (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.750 * [taylor]: Taking taylor expansion of (* NAN (log n)) in n 1.750 * [taylor]: Taking taylor expansion of NAN in n 1.750 * [taylor]: Taking taylor expansion of (log n) in n 1.750 * [taylor]: Taking taylor expansion of n in n 1.750 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.750 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.750 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.750 * [taylor]: Taking taylor expansion of 0.5 in n 1.750 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.750 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.750 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.750 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.750 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.750 * [taylor]: Taking taylor expansion of 1.0 in n 1.750 * [taylor]: Taking taylor expansion of (log PI) in n 1.750 * [taylor]: Taking taylor expansion of PI in n 1.750 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.750 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.750 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.751 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.751 * [taylor]: Taking taylor expansion of 1.0 in n 1.751 * [taylor]: Taking taylor expansion of (log n) in n 1.751 * [taylor]: Taking taylor expansion of n in n 1.751 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.751 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.751 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.751 * [taylor]: Taking taylor expansion of 1.0 in n 1.751 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.751 * [taylor]: Taking taylor expansion of 2.0 in n 1.752 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (log 2.0)))) (* 0.5 (* (* (log PI) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.752 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (log 2.0)))) in n 1.752 * [taylor]: Taking taylor expansion of 0.5 in n 1.752 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (log 2.0))) in n 1.752 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.752 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.752 * [taylor]: Taking taylor expansion of 0.5 in n 1.752 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.752 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.752 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.752 * [taylor]: Taking taylor expansion of 1.0 in n 1.752 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.752 * [taylor]: Taking taylor expansion of 2.0 in n 1.752 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.752 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.752 * [taylor]: Taking taylor expansion of 1.0 in n 1.752 * [taylor]: Taking taylor expansion of (log n) in n 1.752 * [taylor]: Taking taylor expansion of n in n 1.752 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.752 * [taylor]: Taking taylor expansion of 1.0 in n 1.752 * [taylor]: Taking taylor expansion of (log PI) in n 1.752 * [taylor]: Taking taylor expansion of PI in n 1.753 * [taylor]: Taking taylor expansion of (* NAN (log 2.0)) in n 1.753 * [taylor]: Taking taylor expansion of NAN in n 1.753 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.753 * [taylor]: Taking taylor expansion of 2.0 in n 1.753 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log PI) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.753 * [taylor]: Taking taylor expansion of 0.5 in n 1.753 * [taylor]: Taking taylor expansion of (* (* (log PI) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.753 * [taylor]: Taking taylor expansion of (* (log PI) NAN) in n 1.754 * [taylor]: Taking taylor expansion of (log PI) in n 1.754 * [taylor]: Taking taylor expansion of PI in n 1.754 * [taylor]: Taking taylor expansion of NAN in n 1.754 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.754 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.754 * [taylor]: Taking taylor expansion of 0.5 in n 1.754 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.754 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.754 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.754 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.754 * [taylor]: Taking taylor expansion of 1.0 in n 1.754 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.754 * [taylor]: Taking taylor expansion of 2.0 in n 1.754 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.754 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.754 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.754 * [taylor]: Taking taylor expansion of 1.0 in n 1.754 * [taylor]: Taking taylor expansion of (log n) in n 1.754 * [taylor]: Taking taylor expansion of n in n 1.754 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.754 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.754 * [taylor]: Taking taylor expansion of 1.0 in n 1.754 * [taylor]: Taking taylor expansion of (log PI) in n 1.754 * [taylor]: Taking taylor expansion of PI in n 1.785 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (* (* NAN (* (log n) (log PI))) (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (log PI) (log 2.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log n) 2) NAN))) (+ (* 0.125 (* (* NAN (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* NAN (log 2.0))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow NAN 3) (log 2.0)))) (+ (* 0.5 (* (* (pow NAN 3) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow NAN 3) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 1.785 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* NAN (* (log n) (log PI))) (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (log PI) (log 2.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log n) 2) NAN))) (+ (* 0.125 (* (* NAN (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* NAN (log 2.0))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))) in n 1.785 * [taylor]: Taking taylor expansion of (* 0.25 (* (* NAN (* (log n) (log PI))) (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5))) in n 1.785 * [taylor]: Taking taylor expansion of 0.25 in n 1.785 * [taylor]: Taking taylor expansion of (* (* NAN (* (log n) (log PI))) (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5)) in n 1.785 * [taylor]: Taking taylor expansion of (* NAN (* (log n) (log PI))) in n 1.785 * [taylor]: Taking taylor expansion of NAN in n 1.785 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 1.785 * [taylor]: Taking taylor expansion of (log n) in n 1.785 * [taylor]: Taking taylor expansion of n in n 1.785 * [taylor]: Taking taylor expansion of (log PI) in n 1.785 * [taylor]: Taking taylor expansion of PI in n 1.785 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in n 1.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in n 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in n 1.785 * [taylor]: Taking taylor expansion of 0.5 in n 1.785 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in n 1.785 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in n 1.785 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.785 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.785 * [taylor]: Taking taylor expansion of 1.0 in n 1.785 * [taylor]: Taking taylor expansion of (log n) in n 1.785 * [taylor]: Taking taylor expansion of n in n 1.786 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.786 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.786 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.786 * [taylor]: Taking taylor expansion of 1.0 in n 1.786 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.786 * [taylor]: Taking taylor expansion of 2.0 in n 1.786 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.786 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.786 * [taylor]: Taking taylor expansion of 1.0 in n 1.786 * [taylor]: Taking taylor expansion of (log PI) in n 1.786 * [taylor]: Taking taylor expansion of PI in n 1.787 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* NAN (* (log PI) (log 2.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log n) 2) NAN))) (+ (* 0.125 (* (* NAN (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* NAN (log 2.0))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))) in n 1.787 * [taylor]: Taking taylor expansion of (* 0.25 (* (* NAN (* (log PI) (log 2.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.787 * [taylor]: Taking taylor expansion of 0.25 in n 1.787 * [taylor]: Taking taylor expansion of (* (* NAN (* (log PI) (log 2.0))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.787 * [taylor]: Taking taylor expansion of (* NAN (* (log PI) (log 2.0))) in n 1.787 * [taylor]: Taking taylor expansion of NAN in n 1.787 * [taylor]: Taking taylor expansion of (* (log PI) (log 2.0)) in n 1.787 * [taylor]: Taking taylor expansion of (log PI) in n 1.787 * [taylor]: Taking taylor expansion of PI in n 1.787 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.787 * [taylor]: Taking taylor expansion of 2.0 in n 1.787 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.787 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.787 * [taylor]: Taking taylor expansion of 0.5 in n 1.787 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.787 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.787 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.787 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.787 * [taylor]: Taking taylor expansion of 1.0 in n 1.787 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.787 * [taylor]: Taking taylor expansion of 2.0 in n 1.787 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.787 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.787 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.787 * [taylor]: Taking taylor expansion of 1.0 in n 1.787 * [taylor]: Taking taylor expansion of (log n) in n 1.787 * [taylor]: Taking taylor expansion of n in n 1.788 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.788 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.788 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.788 * [taylor]: Taking taylor expansion of 1.0 in n 1.788 * [taylor]: Taking taylor expansion of (log PI) in n 1.788 * [taylor]: Taking taylor expansion of PI in n 1.789 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log n) 2) NAN))) (+ (* 0.125 (* (* NAN (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* NAN (log 2.0))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))) in n 1.789 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log n) 2) NAN))) in n 1.789 * [taylor]: Taking taylor expansion of 0.125 in n 1.789 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log n) 2) NAN)) in n 1.789 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.789 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.789 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.789 * [taylor]: Taking taylor expansion of 0.5 in n 1.789 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.789 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.789 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.789 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.789 * [taylor]: Taking taylor expansion of 1.0 in n 1.789 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.789 * [taylor]: Taking taylor expansion of 2.0 in n 1.789 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.789 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.789 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.789 * [taylor]: Taking taylor expansion of 1.0 in n 1.789 * [taylor]: Taking taylor expansion of (log n) in n 1.789 * [taylor]: Taking taylor expansion of n in n 1.789 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.789 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.789 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.789 * [taylor]: Taking taylor expansion of 1.0 in n 1.789 * [taylor]: Taking taylor expansion of (log PI) in n 1.789 * [taylor]: Taking taylor expansion of PI in n 1.790 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) NAN) in n 1.790 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 1.790 * [taylor]: Taking taylor expansion of (log n) in n 1.790 * [taylor]: Taking taylor expansion of n in n 1.790 * [taylor]: Taking taylor expansion of NAN in n 1.790 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* NAN (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* NAN (log 2.0))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 1.790 * [taylor]: Taking taylor expansion of (* 0.125 (* (* NAN (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.790 * [taylor]: Taking taylor expansion of 0.125 in n 1.790 * [taylor]: Taking taylor expansion of (* (* NAN (pow (log PI) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.790 * [taylor]: Taking taylor expansion of (* NAN (pow (log PI) 2)) in n 1.790 * [taylor]: Taking taylor expansion of NAN in n 1.790 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 1.790 * [taylor]: Taking taylor expansion of (log PI) in n 1.791 * [taylor]: Taking taylor expansion of PI in n 1.791 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.791 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.791 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.791 * [taylor]: Taking taylor expansion of 0.5 in n 1.791 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.791 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.791 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.791 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.791 * [taylor]: Taking taylor expansion of 1.0 in n 1.791 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.791 * [taylor]: Taking taylor expansion of 2.0 in n 1.791 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.791 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.791 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.791 * [taylor]: Taking taylor expansion of 1.0 in n 1.791 * [taylor]: Taking taylor expansion of (log n) in n 1.791 * [taylor]: Taking taylor expansion of n in n 1.791 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.791 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.791 * [taylor]: Taking taylor expansion of 1.0 in n 1.791 * [taylor]: Taking taylor expansion of (log PI) in n 1.791 * [taylor]: Taking taylor expansion of PI in n 1.792 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* NAN (log 2.0))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 1.792 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* NAN (log 2.0))))) in n 1.792 * [taylor]: Taking taylor expansion of 0.25 in n 1.792 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (* NAN (log 2.0)))) in n 1.792 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.792 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.792 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.792 * [taylor]: Taking taylor expansion of 0.5 in n 1.792 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.792 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.792 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.792 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.792 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.792 * [taylor]: Taking taylor expansion of 1.0 in n 1.792 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.792 * [taylor]: Taking taylor expansion of 2.0 in n 1.792 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.793 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.793 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.793 * [taylor]: Taking taylor expansion of 1.0 in n 1.793 * [taylor]: Taking taylor expansion of (log n) in n 1.793 * [taylor]: Taking taylor expansion of n in n 1.793 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.793 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.793 * [taylor]: Taking taylor expansion of 1.0 in n 1.793 * [taylor]: Taking taylor expansion of (log PI) in n 1.793 * [taylor]: Taking taylor expansion of PI in n 1.794 * [taylor]: Taking taylor expansion of (* (log n) (* NAN (log 2.0))) in n 1.794 * [taylor]: Taking taylor expansion of (log n) in n 1.794 * [taylor]: Taking taylor expansion of n in n 1.794 * [taylor]: Taking taylor expansion of (* NAN (log 2.0)) in n 1.794 * [taylor]: Taking taylor expansion of NAN in n 1.794 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.794 * [taylor]: Taking taylor expansion of 2.0 in n 1.794 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.794 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2)))) in n 1.794 * [taylor]: Taking taylor expansion of 0.125 in n 1.794 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* NAN (pow (log 2.0) 2))) in n 1.794 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.794 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.794 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.794 * [taylor]: Taking taylor expansion of 0.5 in n 1.794 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.794 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.794 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.794 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.794 * [taylor]: Taking taylor expansion of 1.0 in n 1.794 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.794 * [taylor]: Taking taylor expansion of 2.0 in n 1.794 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.794 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.794 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.794 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.794 * [taylor]: Taking taylor expansion of 1.0 in n 1.794 * [taylor]: Taking taylor expansion of (log n) in n 1.794 * [taylor]: Taking taylor expansion of n in n 1.795 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.795 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.795 * [taylor]: Taking taylor expansion of 1.0 in n 1.795 * [taylor]: Taking taylor expansion of (log PI) in n 1.795 * [taylor]: Taking taylor expansion of PI in n 1.796 * [taylor]: Taking taylor expansion of (* NAN (pow (log 2.0) 2)) in n 1.796 * [taylor]: Taking taylor expansion of NAN in n 1.796 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 1.796 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.796 * [taylor]: Taking taylor expansion of 2.0 in n 1.796 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.796 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.796 * [taylor]: Taking taylor expansion of NAN in n 1.796 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.796 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.796 * [taylor]: Taking taylor expansion of 0.5 in n 1.796 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.796 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.796 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (log PI) in n 1.796 * [taylor]: Taking taylor expansion of PI in n 1.796 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.796 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (log n) in n 1.796 * [taylor]: Taking taylor expansion of n in n 1.796 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.796 * [taylor]: Taking taylor expansion of 2.0 in n 1.797 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow NAN 3) (log 2.0)))) (+ (* 0.5 (* (* (pow NAN 3) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow NAN 3) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 1.797 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow NAN 3) (log 2.0)))) in n 1.797 * [taylor]: Taking taylor expansion of 0.5 in n 1.797 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow NAN 3) (log 2.0))) in n 1.797 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.797 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.797 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.797 * [taylor]: Taking taylor expansion of 0.5 in n 1.797 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.797 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.797 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.798 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.798 * [taylor]: Taking taylor expansion of 1.0 in n 1.798 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.798 * [taylor]: Taking taylor expansion of 2.0 in n 1.798 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.798 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.798 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.798 * [taylor]: Taking taylor expansion of 1.0 in n 1.798 * [taylor]: Taking taylor expansion of (log n) in n 1.798 * [taylor]: Taking taylor expansion of n in n 1.798 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.798 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.798 * [taylor]: Taking taylor expansion of 1.0 in n 1.798 * [taylor]: Taking taylor expansion of (log PI) in n 1.798 * [taylor]: Taking taylor expansion of PI in n 1.799 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log 2.0)) in n 1.799 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.799 * [taylor]: Taking taylor expansion of NAN in n 1.799 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.799 * [taylor]: Taking taylor expansion of 2.0 in n 1.799 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (pow NAN 3) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow NAN 3) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.799 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (pow NAN 3) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.799 * [taylor]: Taking taylor expansion of 0.5 in n 1.799 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (log n)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.799 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log n)) in n 1.799 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.799 * [taylor]: Taking taylor expansion of NAN in n 1.799 * [taylor]: Taking taylor expansion of (log n) in n 1.799 * [taylor]: Taking taylor expansion of n in n 1.799 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.799 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.799 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.799 * [taylor]: Taking taylor expansion of 0.5 in n 1.799 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.799 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.799 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.799 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.799 * [taylor]: Taking taylor expansion of 1.0 in n 1.799 * [taylor]: Taking taylor expansion of (log PI) in n 1.799 * [taylor]: Taking taylor expansion of PI in n 1.800 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.800 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.800 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.800 * [taylor]: Taking taylor expansion of 1.0 in n 1.800 * [taylor]: Taking taylor expansion of (log n) in n 1.800 * [taylor]: Taking taylor expansion of n in n 1.800 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.800 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.800 * [taylor]: Taking taylor expansion of 1.0 in n 1.800 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.800 * [taylor]: Taking taylor expansion of 2.0 in n 1.801 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (pow NAN 3) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.801 * [taylor]: Taking taylor expansion of 0.5 in n 1.801 * [taylor]: Taking taylor expansion of (* (* (pow NAN 3) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.801 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log PI)) in n 1.801 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.801 * [taylor]: Taking taylor expansion of NAN in n 1.801 * [taylor]: Taking taylor expansion of (log PI) in n 1.801 * [taylor]: Taking taylor expansion of PI in n 1.801 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.801 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.801 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.801 * [taylor]: Taking taylor expansion of 0.5 in n 1.801 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.801 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.801 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.801 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.801 * [taylor]: Taking taylor expansion of 1.0 in n 1.801 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.801 * [taylor]: Taking taylor expansion of 2.0 in n 1.801 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.801 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.801 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.801 * [taylor]: Taking taylor expansion of 1.0 in n 1.801 * [taylor]: Taking taylor expansion of (log n) in n 1.801 * [taylor]: Taking taylor expansion of n in n 1.802 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.802 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.802 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of (log PI) in n 1.802 * [taylor]: Taking taylor expansion of PI in n 1.864 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 1.864 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))))) in n 1.864 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.865 * [taylor]: Taking taylor expansion of k in n 1.865 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.865 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 1.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 1.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 1.865 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.865 * [taylor]: Taking taylor expansion of 0.5 in n 1.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.865 * [taylor]: Taking taylor expansion of 1.0 in n 1.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.865 * [taylor]: Taking taylor expansion of k in n 1.865 * [taylor]: Taking taylor expansion of (log PI) in n 1.865 * [taylor]: Taking taylor expansion of PI in n 1.865 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in n 1.865 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.865 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.865 * [taylor]: Taking taylor expansion of 0.5 in n 1.865 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.865 * [taylor]: Taking taylor expansion of 1.0 in n 1.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.865 * [taylor]: Taking taylor expansion of k in n 1.865 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.865 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.865 * [taylor]: Taking taylor expansion of n in n 1.866 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 1.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 1.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 1.866 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.866 * [taylor]: Taking taylor expansion of 0.5 in n 1.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.866 * [taylor]: Taking taylor expansion of 1.0 in n 1.866 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.866 * [taylor]: Taking taylor expansion of k in n 1.866 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.866 * [taylor]: Taking taylor expansion of 2.0 in n 1.866 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))))) in k 1.866 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.866 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 1.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 1.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 1.866 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.866 * [taylor]: Taking taylor expansion of 0.5 in k 1.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.866 * [taylor]: Taking taylor expansion of 1.0 in k 1.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of (log PI) in k 1.866 * [taylor]: Taking taylor expansion of PI in k 1.867 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 1.867 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.867 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.867 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.867 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.867 * [taylor]: Taking taylor expansion of 0.5 in k 1.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.867 * [taylor]: Taking taylor expansion of 1.0 in k 1.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.867 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.867 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.867 * [taylor]: Taking taylor expansion of n in k 1.867 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 1.867 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 1.867 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 1.867 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.867 * [taylor]: Taking taylor expansion of 0.5 in k 1.867 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.867 * [taylor]: Taking taylor expansion of 1.0 in k 1.867 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.867 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.867 * [taylor]: Taking taylor expansion of 2.0 in k 1.867 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))))) in k 1.867 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.867 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.867 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 1.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 1.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 1.868 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.868 * [taylor]: Taking taylor expansion of 0.5 in k 1.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.868 * [taylor]: Taking taylor expansion of 1.0 in k 1.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.868 * [taylor]: Taking taylor expansion of k in k 1.868 * [taylor]: Taking taylor expansion of (log PI) in k 1.868 * [taylor]: Taking taylor expansion of PI in k 1.868 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 1.868 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.868 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.868 * [taylor]: Taking taylor expansion of 0.5 in k 1.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.868 * [taylor]: Taking taylor expansion of 1.0 in k 1.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.868 * [taylor]: Taking taylor expansion of k in k 1.868 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.868 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.868 * [taylor]: Taking taylor expansion of n in k 1.868 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 1.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 1.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 1.868 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.868 * [taylor]: Taking taylor expansion of 0.5 in k 1.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.868 * [taylor]: Taking taylor expansion of 1.0 in k 1.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.868 * [taylor]: Taking taylor expansion of k in k 1.868 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.868 * [taylor]: Taking taylor expansion of 2.0 in k 1.869 * [taylor]: Taking taylor expansion of 0 in n 1.870 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* NAN (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) in n 1.870 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 1.870 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 1.870 * [taylor]: Taking taylor expansion of 0.5 in n 1.870 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 1.870 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.870 * [taylor]: Taking taylor expansion of 2.0 in n 1.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.870 * [taylor]: Taking taylor expansion of 1.0 in n 1.870 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.870 * [taylor]: Taking taylor expansion of k in n 1.870 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* NAN (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) in n 1.870 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 1.870 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 1.870 * [taylor]: Taking taylor expansion of 0.5 in n 1.870 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 1.870 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.870 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.871 * [taylor]: Taking taylor expansion of n in n 1.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.871 * [taylor]: Taking taylor expansion of 1.0 in n 1.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.871 * [taylor]: Taking taylor expansion of k in n 1.871 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) in n 1.871 * [taylor]: Taking taylor expansion of NAN in n 1.871 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 1.871 * [taylor]: Taking taylor expansion of 0.5 in n 1.871 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 1.871 * [taylor]: Taking taylor expansion of (log PI) in n 1.871 * [taylor]: Taking taylor expansion of PI in n 1.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.871 * [taylor]: Taking taylor expansion of 1.0 in n 1.871 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.871 * [taylor]: Taking taylor expansion of k in n 1.873 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (pow NAN 3) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) in n 1.873 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 1.873 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 1.873 * [taylor]: Taking taylor expansion of 0.5 in n 1.873 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 1.873 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.873 * [taylor]: Taking taylor expansion of 2.0 in n 1.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.873 * [taylor]: Taking taylor expansion of 1.0 in n 1.873 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.873 * [taylor]: Taking taylor expansion of k in n 1.874 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (pow NAN 3) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) in n 1.874 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 1.874 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 1.874 * [taylor]: Taking taylor expansion of 0.5 in n 1.874 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 1.874 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.874 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.874 * [taylor]: Taking taylor expansion of n in n 1.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.874 * [taylor]: Taking taylor expansion of 1.0 in n 1.874 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.874 * [taylor]: Taking taylor expansion of k in n 1.874 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) in n 1.874 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.874 * [taylor]: Taking taylor expansion of NAN in n 1.874 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 1.874 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 1.874 * [taylor]: Taking taylor expansion of 0.5 in n 1.874 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 1.874 * [taylor]: Taking taylor expansion of (log PI) in n 1.874 * [taylor]: Taking taylor expansion of PI in n 1.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.874 * [taylor]: Taking taylor expansion of 1.0 in n 1.874 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.874 * [taylor]: Taking taylor expansion of k in n 1.879 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (pow NAN 5) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))))) in n 1.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 1.879 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 1.879 * [taylor]: Taking taylor expansion of 0.5 in n 1.879 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 1.879 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.879 * [taylor]: Taking taylor expansion of 2.0 in n 1.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.879 * [taylor]: Taking taylor expansion of 1.0 in n 1.879 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.879 * [taylor]: Taking taylor expansion of k in n 1.879 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (pow NAN 5) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))))) in n 1.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 1.879 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 1.879 * [taylor]: Taking taylor expansion of 0.5 in n 1.879 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 1.879 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.879 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.879 * [taylor]: Taking taylor expansion of n in n 1.879 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.879 * [taylor]: Taking taylor expansion of 1.0 in n 1.879 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.879 * [taylor]: Taking taylor expansion of k in n 1.880 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) in n 1.880 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.880 * [taylor]: Taking taylor expansion of NAN in n 1.880 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 1.880 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 1.880 * [taylor]: Taking taylor expansion of 0.5 in n 1.880 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 1.880 * [taylor]: Taking taylor expansion of (log PI) in n 1.880 * [taylor]: Taking taylor expansion of PI in n 1.880 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.880 * [taylor]: Taking taylor expansion of 1.0 in n 1.880 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.880 * [taylor]: Taking taylor expansion of k in n 1.883 * [approximate]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in (k n) around 0 1.883 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in n 1.883 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))))) in n 1.883 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 1.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 1.883 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 1.883 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.883 * [taylor]: Taking taylor expansion of 0.5 in n 1.883 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.883 * [taylor]: Taking taylor expansion of k in n 1.883 * [taylor]: Taking taylor expansion of 1.0 in n 1.883 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.883 * [taylor]: Taking taylor expansion of 2.0 in n 1.884 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in n 1.884 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 1.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 1.884 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 1.884 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.884 * [taylor]: Taking taylor expansion of 0.5 in n 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.884 * [taylor]: Taking taylor expansion of k in n 1.884 * [taylor]: Taking taylor expansion of 1.0 in n 1.884 * [taylor]: Taking taylor expansion of (log PI) in n 1.884 * [taylor]: Taking taylor expansion of PI in n 1.884 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.884 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.884 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.884 * [taylor]: Taking taylor expansion of 0.5 in n 1.884 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.884 * [taylor]: Taking taylor expansion of k in n 1.884 * [taylor]: Taking taylor expansion of 1.0 in n 1.884 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.884 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.884 * [taylor]: Taking taylor expansion of -1 in n 1.884 * [taylor]: Taking taylor expansion of n in n 1.885 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.885 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.885 * [taylor]: Taking taylor expansion of -1 in n 1.885 * [taylor]: Taking taylor expansion of k in n 1.885 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in k 1.885 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))))) in k 1.885 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 1.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 1.885 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 1.885 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.885 * [taylor]: Taking taylor expansion of 0.5 in k 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.886 * [taylor]: Taking taylor expansion of k in k 1.886 * [taylor]: Taking taylor expansion of 1.0 in k 1.886 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.886 * [taylor]: Taking taylor expansion of 2.0 in k 1.886 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.886 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 1.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 1.886 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 1.886 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.886 * [taylor]: Taking taylor expansion of 0.5 in k 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.886 * [taylor]: Taking taylor expansion of k in k 1.886 * [taylor]: Taking taylor expansion of 1.0 in k 1.886 * [taylor]: Taking taylor expansion of (log PI) in k 1.886 * [taylor]: Taking taylor expansion of PI in k 1.886 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.886 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.886 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.886 * [taylor]: Taking taylor expansion of 0.5 in k 1.886 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.886 * [taylor]: Taking taylor expansion of k in k 1.886 * [taylor]: Taking taylor expansion of 1.0 in k 1.886 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.886 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.886 * [taylor]: Taking taylor expansion of -1 in k 1.886 * [taylor]: Taking taylor expansion of n in k 1.887 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.887 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.887 * [taylor]: Taking taylor expansion of -1 in k 1.887 * [taylor]: Taking taylor expansion of k in k 1.887 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))))) (sqrt (/ -1 k))) in k 1.887 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))))) in k 1.887 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 1.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 1.887 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 1.887 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.887 * [taylor]: Taking taylor expansion of 0.5 in k 1.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.887 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.887 * [taylor]: Taking taylor expansion of k in k 1.887 * [taylor]: Taking taylor expansion of 1.0 in k 1.887 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.888 * [taylor]: Taking taylor expansion of 2.0 in k 1.888 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.888 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 1.888 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 1.888 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.888 * [taylor]: Taking taylor expansion of 0.5 in k 1.888 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.888 * [taylor]: Taking taylor expansion of k in k 1.888 * [taylor]: Taking taylor expansion of 1.0 in k 1.888 * [taylor]: Taking taylor expansion of (log PI) in k 1.888 * [taylor]: Taking taylor expansion of PI in k 1.888 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.888 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.888 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.888 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.888 * [taylor]: Taking taylor expansion of 0.5 in k 1.888 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.888 * [taylor]: Taking taylor expansion of k in k 1.888 * [taylor]: Taking taylor expansion of 1.0 in k 1.888 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.888 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.888 * [taylor]: Taking taylor expansion of -1 in k 1.888 * [taylor]: Taking taylor expansion of n in k 1.888 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.888 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.888 * [taylor]: Taking taylor expansion of -1 in k 1.888 * [taylor]: Taking taylor expansion of k in k 1.889 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) NAN) in n 1.889 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) in n 1.889 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 1.889 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 1.889 * [taylor]: Taking taylor expansion of 0.5 in n 1.889 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 1.889 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.889 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.889 * [taylor]: Taking taylor expansion of k in n 1.889 * [taylor]: Taking taylor expansion of 1.0 in n 1.889 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.889 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.889 * [taylor]: Taking taylor expansion of -1 in n 1.889 * [taylor]: Taking taylor expansion of n in n 1.890 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) in n 1.890 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) in n 1.890 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))) in n 1.890 * [taylor]: Taking taylor expansion of 0.5 in n 1.890 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log 2.0)) in n 1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.890 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.890 * [taylor]: Taking taylor expansion of k in n 1.890 * [taylor]: Taking taylor expansion of 1.0 in n 1.890 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.890 * [taylor]: Taking taylor expansion of 2.0 in n 1.890 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) in n 1.890 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))) in n 1.890 * [taylor]: Taking taylor expansion of 0.5 in n 1.890 * [taylor]: Taking taylor expansion of (* (log PI) (+ (/ 1 k) 1.0)) in n 1.890 * [taylor]: Taking taylor expansion of (log PI) in n 1.890 * [taylor]: Taking taylor expansion of PI in n 1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.890 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.890 * [taylor]: Taking taylor expansion of k in n 1.890 * [taylor]: Taking taylor expansion of 1.0 in n 1.891 * [taylor]: Taking taylor expansion of NAN in n 1.892 * [taylor]: Taking taylor expansion of (neg (* NAN (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))))) in n 1.892 * [taylor]: Taking taylor expansion of (* NAN (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))))) in n 1.893 * [taylor]: Taking taylor expansion of NAN in n 1.893 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))))) in n 1.893 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) in n 1.893 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))) in n 1.893 * [taylor]: Taking taylor expansion of 0.5 in n 1.893 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log 2.0)) in n 1.893 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.893 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.893 * [taylor]: Taking taylor expansion of k in n 1.893 * [taylor]: Taking taylor expansion of 1.0 in n 1.893 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.893 * [taylor]: Taking taylor expansion of 2.0 in n 1.893 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) in n 1.893 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 1.893 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 1.893 * [taylor]: Taking taylor expansion of 0.5 in n 1.893 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 1.893 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.893 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.893 * [taylor]: Taking taylor expansion of k in n 1.893 * [taylor]: Taking taylor expansion of 1.0 in n 1.893 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.893 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.893 * [taylor]: Taking taylor expansion of -1 in n 1.893 * [taylor]: Taking taylor expansion of n in n 1.894 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) in n 1.894 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))) in n 1.894 * [taylor]: Taking taylor expansion of 0.5 in n 1.894 * [taylor]: Taking taylor expansion of (* (log PI) (+ (/ 1 k) 1.0)) in n 1.894 * [taylor]: Taking taylor expansion of (log PI) in n 1.894 * [taylor]: Taking taylor expansion of PI in n 1.894 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.894 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.894 * [taylor]: Taking taylor expansion of k in n 1.894 * [taylor]: Taking taylor expansion of 1.0 in n 1.899 * [taylor]: Taking taylor expansion of 0 in n 1.905 * [taylor]: Taking taylor expansion of 0 in n 1.906 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.906 * [approximate]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) in (k n) around 0 1.906 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) in n 1.906 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.906 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.906 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.906 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.906 * [taylor]: Taking taylor expansion of 0.5 in n 1.906 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.906 * [taylor]: Taking taylor expansion of 1.0 in n 1.906 * [taylor]: Taking taylor expansion of k in n 1.906 * [taylor]: Taking taylor expansion of (log n) in n 1.906 * [taylor]: Taking taylor expansion of n in n 1.906 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 1.906 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 1.906 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 1.906 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.906 * [taylor]: Taking taylor expansion of 0.5 in n 1.906 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.906 * [taylor]: Taking taylor expansion of 1.0 in n 1.906 * [taylor]: Taking taylor expansion of k in n 1.907 * [taylor]: Taking taylor expansion of (log PI) in n 1.907 * [taylor]: Taking taylor expansion of PI in n 1.907 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) in k 1.907 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.907 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.907 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.907 * [taylor]: Taking taylor expansion of 0.5 in k 1.907 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.907 * [taylor]: Taking taylor expansion of 1.0 in k 1.907 * [taylor]: Taking taylor expansion of k in k 1.907 * [taylor]: Taking taylor expansion of (log n) in k 1.907 * [taylor]: Taking taylor expansion of n in k 1.907 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 1.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 1.907 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 1.907 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.907 * [taylor]: Taking taylor expansion of 0.5 in k 1.907 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.907 * [taylor]: Taking taylor expansion of 1.0 in k 1.907 * [taylor]: Taking taylor expansion of k in k 1.907 * [taylor]: Taking taylor expansion of (log PI) in k 1.907 * [taylor]: Taking taylor expansion of PI in k 1.907 * [taylor]: Taking taylor expansion of (* (pow n (* 0.5 (- 1.0 k))) (pow PI (* 0.5 (- 1.0 k)))) in k 1.907 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.907 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.907 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.907 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.907 * [taylor]: Taking taylor expansion of 0.5 in k 1.907 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.907 * [taylor]: Taking taylor expansion of 1.0 in k 1.907 * [taylor]: Taking taylor expansion of k in k 1.907 * [taylor]: Taking taylor expansion of (log n) in k 1.907 * [taylor]: Taking taylor expansion of n in k 1.908 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 1.908 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 1.908 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 1.908 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.908 * [taylor]: Taking taylor expansion of 0.5 in k 1.908 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.908 * [taylor]: Taking taylor expansion of 1.0 in k 1.908 * [taylor]: Taking taylor expansion of k in k 1.908 * [taylor]: Taking taylor expansion of (log PI) in k 1.908 * [taylor]: Taking taylor expansion of PI in k 1.908 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 1.908 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 1.908 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 1.908 * [taylor]: Taking taylor expansion of 0.5 in n 1.908 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 1.908 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.908 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.908 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.908 * [taylor]: Taking taylor expansion of 1.0 in n 1.908 * [taylor]: Taking taylor expansion of (log n) in n 1.908 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.908 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.908 * [taylor]: Taking taylor expansion of 1.0 in n 1.908 * [taylor]: Taking taylor expansion of (log PI) in n 1.908 * [taylor]: Taking taylor expansion of PI in n 1.910 * [taylor]: Taking taylor expansion of (neg (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (log PI) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))))) in n 1.910 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (log PI) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))) in n 1.910 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 1.910 * [taylor]: Taking taylor expansion of 0.5 in n 1.910 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 1.910 * [taylor]: Taking taylor expansion of (log n) in n 1.910 * [taylor]: Taking taylor expansion of n in n 1.910 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 1.910 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 1.910 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 1.910 * [taylor]: Taking taylor expansion of 0.5 in n 1.910 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 1.910 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.910 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.910 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.910 * [taylor]: Taking taylor expansion of 1.0 in n 1.911 * [taylor]: Taking taylor expansion of (log n) in n 1.911 * [taylor]: Taking taylor expansion of n in n 1.911 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.911 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.911 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.911 * [taylor]: Taking taylor expansion of 1.0 in n 1.911 * [taylor]: Taking taylor expansion of (log PI) in n 1.911 * [taylor]: Taking taylor expansion of PI in n 1.911 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 1.911 * [taylor]: Taking taylor expansion of 0.5 in n 1.911 * [taylor]: Taking taylor expansion of (* (log PI) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 1.911 * [taylor]: Taking taylor expansion of (log PI) in n 1.911 * [taylor]: Taking taylor expansion of PI in n 1.911 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 1.912 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 1.912 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 1.912 * [taylor]: Taking taylor expansion of 0.5 in n 1.912 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 1.912 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.912 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.912 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.912 * [taylor]: Taking taylor expansion of 1.0 in n 1.912 * [taylor]: Taking taylor expansion of (log n) in n 1.912 * [taylor]: Taking taylor expansion of n in n 1.912 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.912 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.912 * [taylor]: Taking taylor expansion of 1.0 in n 1.912 * [taylor]: Taking taylor expansion of (log PI) in n 1.912 * [taylor]: Taking taylor expansion of PI in n 1.921 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.125 (* (pow (log PI) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))))) in n 1.921 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 1.921 * [taylor]: Taking taylor expansion of 0.25 in n 1.921 * [taylor]: Taking taylor expansion of (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 1.921 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 1.921 * [taylor]: Taking taylor expansion of (log n) in n 1.921 * [taylor]: Taking taylor expansion of n in n 1.921 * [taylor]: Taking taylor expansion of (log PI) in n 1.921 * [taylor]: Taking taylor expansion of PI in n 1.921 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 1.921 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 1.921 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 1.921 * [taylor]: Taking taylor expansion of 0.5 in n 1.921 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 1.921 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.921 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.921 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.921 * [taylor]: Taking taylor expansion of 1.0 in n 1.921 * [taylor]: Taking taylor expansion of (log n) in n 1.921 * [taylor]: Taking taylor expansion of n in n 1.921 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.921 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.921 * [taylor]: Taking taylor expansion of 1.0 in n 1.921 * [taylor]: Taking taylor expansion of (log PI) in n 1.921 * [taylor]: Taking taylor expansion of PI in n 1.922 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log PI) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))) in n 1.922 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log PI) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 1.922 * [taylor]: Taking taylor expansion of 0.125 in n 1.922 * [taylor]: Taking taylor expansion of (* (pow (log PI) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 1.922 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 1.922 * [taylor]: Taking taylor expansion of (log PI) in n 1.922 * [taylor]: Taking taylor expansion of PI in n 1.922 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 1.922 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 1.922 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 1.922 * [taylor]: Taking taylor expansion of 0.5 in n 1.922 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 1.922 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.922 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.922 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.922 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.922 * [taylor]: Taking taylor expansion of 1.0 in n 1.922 * [taylor]: Taking taylor expansion of (log n) in n 1.922 * [taylor]: Taking taylor expansion of n in n 1.922 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.922 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.922 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.922 * [taylor]: Taking taylor expansion of 1.0 in n 1.922 * [taylor]: Taking taylor expansion of (log PI) in n 1.922 * [taylor]: Taking taylor expansion of PI in n 1.923 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 1.923 * [taylor]: Taking taylor expansion of 0.125 in n 1.923 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 1.923 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 1.923 * [taylor]: Taking taylor expansion of (log n) in n 1.923 * [taylor]: Taking taylor expansion of n in n 1.923 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 1.923 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 1.923 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 1.923 * [taylor]: Taking taylor expansion of 0.5 in n 1.923 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 1.923 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.923 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.923 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.923 * [taylor]: Taking taylor expansion of 1.0 in n 1.923 * [taylor]: Taking taylor expansion of (log n) in n 1.923 * [taylor]: Taking taylor expansion of n in n 1.924 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.924 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.924 * [taylor]: Taking taylor expansion of 1.0 in n 1.924 * [taylor]: Taking taylor expansion of (log PI) in n 1.924 * [taylor]: Taking taylor expansion of PI in n 1.934 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 1.934 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.934 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 1.934 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 1.934 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 1.934 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.934 * [taylor]: Taking taylor expansion of 0.5 in n 1.934 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.934 * [taylor]: Taking taylor expansion of 1.0 in n 1.934 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.934 * [taylor]: Taking taylor expansion of k in n 1.934 * [taylor]: Taking taylor expansion of (log PI) in n 1.935 * [taylor]: Taking taylor expansion of PI in n 1.935 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.935 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.935 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.935 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.935 * [taylor]: Taking taylor expansion of 0.5 in n 1.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.935 * [taylor]: Taking taylor expansion of 1.0 in n 1.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.935 * [taylor]: Taking taylor expansion of k in n 1.935 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.935 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.935 * [taylor]: Taking taylor expansion of n in n 1.935 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.935 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 1.935 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 1.935 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 1.935 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.935 * [taylor]: Taking taylor expansion of 0.5 in k 1.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.935 * [taylor]: Taking taylor expansion of 1.0 in k 1.935 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.935 * [taylor]: Taking taylor expansion of k in k 1.936 * [taylor]: Taking taylor expansion of (log PI) in k 1.936 * [taylor]: Taking taylor expansion of PI in k 1.936 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.936 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.936 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.936 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.936 * [taylor]: Taking taylor expansion of 0.5 in k 1.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.936 * [taylor]: Taking taylor expansion of 1.0 in k 1.936 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.936 * [taylor]: Taking taylor expansion of k in k 1.936 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.936 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.936 * [taylor]: Taking taylor expansion of n in k 1.936 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.936 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 1.936 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 1.936 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 1.936 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.936 * [taylor]: Taking taylor expansion of 0.5 in k 1.936 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.936 * [taylor]: Taking taylor expansion of 1.0 in k 1.936 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.936 * [taylor]: Taking taylor expansion of k in k 1.936 * [taylor]: Taking taylor expansion of (log PI) in k 1.936 * [taylor]: Taking taylor expansion of PI in k 1.936 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.937 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.937 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.937 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.937 * [taylor]: Taking taylor expansion of 0.5 in k 1.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.937 * [taylor]: Taking taylor expansion of 1.0 in k 1.937 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.937 * [taylor]: Taking taylor expansion of k in k 1.937 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.937 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.937 * [taylor]: Taking taylor expansion of n in k 1.937 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) in n 1.937 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 1.937 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 1.937 * [taylor]: Taking taylor expansion of 0.5 in n 1.937 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 1.937 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.937 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.937 * [taylor]: Taking taylor expansion of n in n 1.937 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.937 * [taylor]: Taking taylor expansion of 1.0 in n 1.937 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.937 * [taylor]: Taking taylor expansion of k in n 1.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 1.938 * [taylor]: Taking taylor expansion of 0.5 in n 1.938 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 1.938 * [taylor]: Taking taylor expansion of (log PI) in n 1.938 * [taylor]: Taking taylor expansion of PI in n 1.938 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.938 * [taylor]: Taking taylor expansion of 1.0 in n 1.938 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.938 * [taylor]: Taking taylor expansion of k in n 1.939 * [taylor]: Taking taylor expansion of 0 in n 1.940 * [taylor]: Taking taylor expansion of 0 in n 1.942 * [taylor]: Taking taylor expansion of 0 in n 1.942 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 1.942 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in n 1.942 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 1.942 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 1.942 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 1.942 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.942 * [taylor]: Taking taylor expansion of 0.5 in n 1.942 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.942 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.942 * [taylor]: Taking taylor expansion of k in n 1.942 * [taylor]: Taking taylor expansion of 1.0 in n 1.942 * [taylor]: Taking taylor expansion of (log PI) in n 1.942 * [taylor]: Taking taylor expansion of PI in n 1.942 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.942 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.942 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.942 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.942 * [taylor]: Taking taylor expansion of 0.5 in n 1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.943 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.943 * [taylor]: Taking taylor expansion of k in n 1.943 * [taylor]: Taking taylor expansion of 1.0 in n 1.943 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.943 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.943 * [taylor]: Taking taylor expansion of -1 in n 1.943 * [taylor]: Taking taylor expansion of n in n 1.943 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.943 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 1.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 1.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 1.943 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.943 * [taylor]: Taking taylor expansion of 0.5 in k 1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.943 * [taylor]: Taking taylor expansion of k in k 1.943 * [taylor]: Taking taylor expansion of 1.0 in k 1.943 * [taylor]: Taking taylor expansion of (log PI) in k 1.943 * [taylor]: Taking taylor expansion of PI in k 1.943 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.943 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.943 * [taylor]: Taking taylor expansion of 0.5 in k 1.943 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.943 * [taylor]: Taking taylor expansion of k in k 1.943 * [taylor]: Taking taylor expansion of 1.0 in k 1.944 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.944 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.944 * [taylor]: Taking taylor expansion of -1 in k 1.944 * [taylor]: Taking taylor expansion of n in k 1.944 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (+ (/ 1 k) 1.0))) (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.944 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 1.944 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 1.944 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 1.944 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.944 * [taylor]: Taking taylor expansion of 0.5 in k 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.944 * [taylor]: Taking taylor expansion of k in k 1.944 * [taylor]: Taking taylor expansion of 1.0 in k 1.944 * [taylor]: Taking taylor expansion of (log PI) in k 1.944 * [taylor]: Taking taylor expansion of PI in k 1.944 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.944 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.944 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.944 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.944 * [taylor]: Taking taylor expansion of 0.5 in k 1.944 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.944 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.944 * [taylor]: Taking taylor expansion of k in k 1.944 * [taylor]: Taking taylor expansion of 1.0 in k 1.944 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.944 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.944 * [taylor]: Taking taylor expansion of -1 in k 1.944 * [taylor]: Taking taylor expansion of n in k 1.945 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))))) in n 1.945 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 1.945 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 1.945 * [taylor]: Taking taylor expansion of 0.5 in n 1.945 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.945 * [taylor]: Taking taylor expansion of k in n 1.945 * [taylor]: Taking taylor expansion of 1.0 in n 1.945 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.945 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.945 * [taylor]: Taking taylor expansion of -1 in n 1.945 * [taylor]: Taking taylor expansion of n in n 1.945 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (+ (/ 1 k) 1.0)))) in n 1.945 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (+ (/ 1 k) 1.0))) in n 1.945 * [taylor]: Taking taylor expansion of 0.5 in n 1.945 * [taylor]: Taking taylor expansion of (* (log PI) (+ (/ 1 k) 1.0)) in n 1.945 * [taylor]: Taking taylor expansion of (log PI) in n 1.945 * [taylor]: Taking taylor expansion of PI in n 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.945 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.945 * [taylor]: Taking taylor expansion of k in n 1.946 * [taylor]: Taking taylor expansion of 1.0 in n 1.946 * [taylor]: Taking taylor expansion of 0 in n 1.948 * [taylor]: Taking taylor expansion of 0 in n 1.949 * [taylor]: Taking taylor expansion of 0 in n 1.949 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 2) 1.950 * [approximate]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in (n k) around 0 1.950 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 1.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 1.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 1.950 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.950 * [taylor]: Taking taylor expansion of 0.5 in k 1.950 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.950 * [taylor]: Taking taylor expansion of 1.0 in k 1.950 * [taylor]: Taking taylor expansion of k in k 1.950 * [taylor]: Taking taylor expansion of (log n) in k 1.950 * [taylor]: Taking taylor expansion of n in k 1.950 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.950 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.950 * [taylor]: Taking taylor expansion of 0.5 in n 1.950 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.950 * [taylor]: Taking taylor expansion of 1.0 in n 1.950 * [taylor]: Taking taylor expansion of k in n 1.950 * [taylor]: Taking taylor expansion of (log n) in n 1.950 * [taylor]: Taking taylor expansion of n in n 1.950 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 1.950 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 1.950 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 1.950 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.950 * [taylor]: Taking taylor expansion of 0.5 in n 1.950 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.950 * [taylor]: Taking taylor expansion of 1.0 in n 1.951 * [taylor]: Taking taylor expansion of k in n 1.951 * [taylor]: Taking taylor expansion of (log n) in n 1.951 * [taylor]: Taking taylor expansion of n in n 1.951 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (log n) (log 1)) (- 1.0 k)))) in k 1.951 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (log n) (log 1)) (- 1.0 k))) in k 1.951 * [taylor]: Taking taylor expansion of 0.5 in k 1.951 * [taylor]: Taking taylor expansion of (* (+ (log n) (log 1)) (- 1.0 k)) in k 1.951 * [taylor]: Taking taylor expansion of (+ (log n) (log 1)) in k 1.951 * [taylor]: Taking taylor expansion of (log n) in k 1.951 * [taylor]: Taking taylor expansion of n in k 1.951 * [taylor]: Taking taylor expansion of (log 1) in k 1.951 * [taylor]: Taking taylor expansion of 1 in k 1.951 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.951 * [taylor]: Taking taylor expansion of 1.0 in k 1.951 * [taylor]: Taking taylor expansion of k in k 1.952 * [taylor]: Taking taylor expansion of 0 in k 1.953 * [taylor]: Taking taylor expansion of 0 in k 1.955 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.955 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 1.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 1.955 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.955 * [taylor]: Taking taylor expansion of 0.5 in k 1.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.955 * [taylor]: Taking taylor expansion of 1.0 in k 1.955 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.955 * [taylor]: Taking taylor expansion of k in k 1.955 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 1.955 * [taylor]: Taking taylor expansion of (/ 1 n) in k 1.955 * [taylor]: Taking taylor expansion of n in k 1.955 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.956 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.956 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.956 * [taylor]: Taking taylor expansion of 0.5 in n 1.956 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.956 * [taylor]: Taking taylor expansion of 1.0 in n 1.956 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.956 * [taylor]: Taking taylor expansion of k in n 1.956 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.956 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.956 * [taylor]: Taking taylor expansion of n in n 1.956 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.956 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 1.956 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 1.956 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.956 * [taylor]: Taking taylor expansion of 0.5 in n 1.956 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.956 * [taylor]: Taking taylor expansion of 1.0 in n 1.956 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.956 * [taylor]: Taking taylor expansion of k in n 1.956 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 1.956 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.956 * [taylor]: Taking taylor expansion of n in n 1.957 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log 1) (log n)) (- 1.0 (/ 1 k))))) in k 1.957 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log 1) (log n)) (- 1.0 (/ 1 k)))) in k 1.957 * [taylor]: Taking taylor expansion of 0.5 in k 1.957 * [taylor]: Taking taylor expansion of (* (- (log 1) (log n)) (- 1.0 (/ 1 k))) in k 1.957 * [taylor]: Taking taylor expansion of (- (log 1) (log n)) in k 1.957 * [taylor]: Taking taylor expansion of (log 1) in k 1.957 * [taylor]: Taking taylor expansion of 1 in k 1.957 * [taylor]: Taking taylor expansion of (log n) in k 1.957 * [taylor]: Taking taylor expansion of n in k 1.957 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.957 * [taylor]: Taking taylor expansion of 1.0 in k 1.957 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.957 * [taylor]: Taking taylor expansion of k in k 1.958 * [taylor]: Taking taylor expansion of 0 in k 1.958 * [taylor]: Taking taylor expansion of 0 in k 1.959 * [taylor]: Taking taylor expansion of 0 in k 1.960 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.960 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.960 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 1.960 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 1.960 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.960 * [taylor]: Taking taylor expansion of 0.5 in k 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.960 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.960 * [taylor]: Taking taylor expansion of k in k 1.960 * [taylor]: Taking taylor expansion of 1.0 in k 1.960 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 1.960 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.960 * [taylor]: Taking taylor expansion of -1 in k 1.960 * [taylor]: Taking taylor expansion of n in k 1.960 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.960 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.960 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.960 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.960 * [taylor]: Taking taylor expansion of 0.5 in n 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.960 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.960 * [taylor]: Taking taylor expansion of k in n 1.960 * [taylor]: Taking taylor expansion of 1.0 in n 1.960 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.960 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.960 * [taylor]: Taking taylor expansion of -1 in n 1.960 * [taylor]: Taking taylor expansion of n in n 1.961 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.961 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 1.961 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 1.961 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.961 * [taylor]: Taking taylor expansion of 0.5 in n 1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.961 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.961 * [taylor]: Taking taylor expansion of k in n 1.961 * [taylor]: Taking taylor expansion of 1.0 in n 1.961 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 1.961 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.961 * [taylor]: Taking taylor expansion of -1 in n 1.961 * [taylor]: Taking taylor expansion of n in n 1.961 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 1.961 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 1.961 * [taylor]: Taking taylor expansion of 0.5 in k 1.961 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 1.961 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 1.961 * [taylor]: Taking taylor expansion of (log -1) in k 1.961 * [taylor]: Taking taylor expansion of -1 in k 1.961 * [taylor]: Taking taylor expansion of (log n) in k 1.961 * [taylor]: Taking taylor expansion of n in k 1.961 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.961 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.961 * [taylor]: Taking taylor expansion of k in k 1.962 * [taylor]: Taking taylor expansion of 1.0 in k 1.962 * [taylor]: Taking taylor expansion of 0 in k 1.963 * [taylor]: Taking taylor expansion of 0 in k 1.964 * [taylor]: Taking taylor expansion of 0 in k 1.964 * * * [progress]: simplifying candidates 1.968 * [simplify]: Simplifying using # : (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (- (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (- (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log (sqrt k)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (/ (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ k 2.0)) (sqrt k)) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) 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(* (log 1) (pow (exp 0.5) (+ (log n) (log 1))))) 0.25)) (- (+ (pow (exp 0.5) (+ (log n) (log 1))) (* 0.125 (* k (* k (* (pow (log 1) 2) (pow (exp 0.5) (+ (log n) (log 1)))))))) (* 0.5 (* (pow (exp 0.5) (+ (log n) (log 1))) (+ (* k (log 1)) (* k (log n)))))))) (pow (pow (exp 0.5) (+ (log n) (log 1))) (- 1.0 k)) (pow (exp 0.5) (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) 2.001 * * * [progress]: adding candidates to table 2.494 * [progress]: [Phase 3 of 3] Extracting. 2.494 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.496 * * * [regime-changes]: Trying 2 branch expressions: (n k) 2.496 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 2.555 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 2.613 * * * [regime]: Found split indices: #