8.671 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.144 * * * [progress]: [2/2] Setting up program. 0.147 * [progress]: [Phase 2 of 3] Improving. 0.147 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.150 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.151 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.153 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.155 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.161 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.183 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.183 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.184 * * [progress]: iteration 1 / 4 0.184 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.204 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.208 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.212 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.218 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.221 * * * [progress]: generating series expansions 0.221 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.222 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.222 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.222 * [taylor]: Taking taylor expansion of 2.0 in n 0.222 * [taylor]: Taking taylor expansion of (* n PI) in n 0.222 * [taylor]: Taking taylor expansion of n in n 0.222 * [taylor]: Taking taylor expansion of PI in n 0.222 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.222 * [taylor]: Taking taylor expansion of 2.0 in n 0.222 * [taylor]: Taking taylor expansion of (* n PI) in n 0.222 * [taylor]: Taking taylor expansion of n in n 0.222 * [taylor]: Taking taylor expansion of PI in n 0.235 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.235 * [taylor]: Taking taylor expansion of 2.0 in n 0.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.235 * [taylor]: Taking taylor expansion of PI in n 0.235 * [taylor]: Taking taylor expansion of n in n 0.235 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.235 * [taylor]: Taking taylor expansion of 2.0 in n 0.235 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.235 * [taylor]: Taking taylor expansion of PI in n 0.235 * [taylor]: Taking taylor expansion of n in n 0.244 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.244 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.244 * [taylor]: Taking taylor expansion of -2.0 in n 0.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.244 * [taylor]: Taking taylor expansion of PI in n 0.244 * [taylor]: Taking taylor expansion of n in n 0.245 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.245 * [taylor]: Taking taylor expansion of -2.0 in n 0.245 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.245 * [taylor]: Taking taylor expansion of PI in n 0.245 * [taylor]: Taking taylor expansion of n in n 0.253 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.254 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.254 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.254 * [taylor]: Taking taylor expansion of 0.5 in k 0.254 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.254 * [taylor]: Taking taylor expansion of 1.0 in k 0.254 * [taylor]: Taking taylor expansion of k in k 0.254 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.254 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.254 * [taylor]: Taking taylor expansion of 2.0 in k 0.254 * [taylor]: Taking taylor expansion of (* n PI) in k 0.254 * [taylor]: Taking taylor expansion of n in k 0.254 * [taylor]: Taking taylor expansion of PI in k 0.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.255 * [taylor]: Taking taylor expansion of 0.5 in n 0.255 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.255 * [taylor]: Taking taylor expansion of 1.0 in n 0.255 * [taylor]: Taking taylor expansion of k in n 0.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.255 * [taylor]: Taking taylor expansion of 2.0 in n 0.255 * [taylor]: Taking taylor expansion of (* n PI) in n 0.255 * [taylor]: Taking taylor expansion of n in n 0.255 * [taylor]: Taking taylor expansion of PI in n 0.261 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.261 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.261 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.261 * [taylor]: Taking taylor expansion of 0.5 in n 0.261 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.261 * [taylor]: Taking taylor expansion of 1.0 in n 0.261 * [taylor]: Taking taylor expansion of k in n 0.261 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.261 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.261 * [taylor]: Taking taylor expansion of 2.0 in n 0.261 * [taylor]: Taking taylor expansion of (* n PI) in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [taylor]: Taking taylor expansion of PI in n 0.266 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.266 * [taylor]: Taking taylor expansion of 0.5 in k 0.266 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.266 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.266 * [taylor]: Taking taylor expansion of 1.0 in k 0.266 * [taylor]: Taking taylor expansion of k in k 0.266 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.266 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.266 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.266 * [taylor]: Taking taylor expansion of 2.0 in k 0.266 * [taylor]: Taking taylor expansion of PI in k 0.267 * [taylor]: Taking taylor expansion of (log n) in k 0.267 * [taylor]: Taking taylor expansion of n in k 0.277 * [taylor]: Taking taylor expansion of 0 in k 0.299 * [taylor]: Taking taylor expansion of 0 in k 0.317 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.317 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.317 * [taylor]: Taking taylor expansion of 0.5 in k 0.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.317 * [taylor]: Taking taylor expansion of 1.0 in k 0.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.317 * [taylor]: Taking taylor expansion of k in k 0.317 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.317 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.317 * [taylor]: Taking taylor expansion of 2.0 in k 0.317 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.317 * [taylor]: Taking taylor expansion of PI in k 0.317 * [taylor]: Taking taylor expansion of n in k 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 0.322 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.322 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.322 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.322 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.323 * [taylor]: Taking taylor expansion of 0.5 in n 0.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.323 * [taylor]: Taking taylor expansion of 1.0 in n 0.323 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.323 * [taylor]: Taking taylor expansion of k in n 0.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.323 * [taylor]: Taking taylor expansion of 2.0 in n 0.323 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.323 * [taylor]: Taking taylor expansion of PI in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.327 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.327 * [taylor]: Taking taylor expansion of 0.5 in k 0.327 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.327 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.327 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.327 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.327 * [taylor]: Taking taylor expansion of 2.0 in k 0.327 * [taylor]: Taking taylor expansion of PI in k 0.328 * [taylor]: Taking taylor expansion of (log n) in k 0.328 * [taylor]: Taking taylor expansion of n in k 0.328 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.328 * [taylor]: Taking taylor expansion of 1.0 in k 0.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.328 * [taylor]: Taking taylor expansion of k in k 0.338 * [taylor]: Taking taylor expansion of 0 in k 0.346 * [taylor]: Taking taylor expansion of 0 in k 0.355 * [taylor]: Taking taylor expansion of 0 in k 0.356 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.356 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.356 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.356 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.356 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.356 * [taylor]: Taking taylor expansion of 0.5 in k 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.356 * [taylor]: Taking taylor expansion of k in k 0.357 * [taylor]: Taking taylor expansion of 1.0 in k 0.357 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.357 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.357 * [taylor]: Taking taylor expansion of -2.0 in k 0.357 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.357 * [taylor]: Taking taylor expansion of PI in k 0.357 * [taylor]: Taking taylor expansion of n in k 0.357 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.358 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.358 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.358 * [taylor]: Taking taylor expansion of 0.5 in n 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.358 * [taylor]: Taking taylor expansion of k in n 0.358 * [taylor]: Taking taylor expansion of 1.0 in n 0.358 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.358 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.358 * [taylor]: Taking taylor expansion of -2.0 in n 0.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.358 * [taylor]: Taking taylor expansion of PI in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.361 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.361 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.361 * [taylor]: Taking taylor expansion of 0.5 in n 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.361 * [taylor]: Taking taylor expansion of k in n 0.362 * [taylor]: Taking taylor expansion of 1.0 in n 0.362 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.362 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.362 * [taylor]: Taking taylor expansion of -2.0 in n 0.362 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.362 * [taylor]: Taking taylor expansion of PI in n 0.362 * [taylor]: Taking taylor expansion of n in n 0.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.365 * [taylor]: Taking taylor expansion of 0.5 in k 0.365 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.365 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.365 * [taylor]: Taking taylor expansion of k in k 0.366 * [taylor]: Taking taylor expansion of 1.0 in k 0.366 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.366 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.366 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.366 * [taylor]: Taking taylor expansion of -2.0 in k 0.366 * [taylor]: Taking taylor expansion of PI in k 0.367 * [taylor]: Taking taylor expansion of (log n) in k 0.367 * [taylor]: Taking taylor expansion of n in k 0.381 * [taylor]: Taking taylor expansion of 0 in k 0.388 * [taylor]: Taking taylor expansion of 0 in k 0.397 * [taylor]: Taking taylor expansion of 0 in k 0.398 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.399 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.399 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.399 * [taylor]: Taking taylor expansion of 1.0 in n 0.399 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.399 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.399 * [taylor]: Taking taylor expansion of k in n 0.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.399 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.399 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.399 * [taylor]: Taking taylor expansion of 0.5 in n 0.399 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.399 * [taylor]: Taking taylor expansion of 1.0 in n 0.399 * [taylor]: Taking taylor expansion of k in n 0.399 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.399 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.399 * [taylor]: Taking taylor expansion of 2.0 in n 0.399 * [taylor]: Taking taylor expansion of (* n PI) in n 0.399 * [taylor]: Taking taylor expansion of n in n 0.399 * [taylor]: Taking taylor expansion of PI in n 0.404 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.404 * [taylor]: Taking taylor expansion of 1.0 in k 0.404 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.404 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.405 * [taylor]: Taking taylor expansion of k in k 0.406 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.406 * [taylor]: Taking taylor expansion of 0.5 in k 0.406 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.406 * [taylor]: Taking taylor expansion of 1.0 in k 0.406 * [taylor]: Taking taylor expansion of k in k 0.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.406 * [taylor]: Taking taylor expansion of 2.0 in k 0.406 * [taylor]: Taking taylor expansion of (* n PI) in k 0.406 * [taylor]: Taking taylor expansion of n in k 0.406 * [taylor]: Taking taylor expansion of PI in k 0.407 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.407 * [taylor]: Taking taylor expansion of 1.0 in k 0.407 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.407 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.407 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.407 * [taylor]: Taking taylor expansion of k in k 0.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.408 * [taylor]: Taking taylor expansion of 0.5 in k 0.409 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.409 * [taylor]: Taking taylor expansion of 1.0 in k 0.409 * [taylor]: Taking taylor expansion of k in k 0.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.409 * [taylor]: Taking taylor expansion of 2.0 in k 0.409 * [taylor]: Taking taylor expansion of (* n PI) in k 0.409 * [taylor]: Taking taylor expansion of n in k 0.409 * [taylor]: Taking taylor expansion of PI in k 0.410 * [taylor]: Taking taylor expansion of 0 in n 0.415 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.415 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.415 * [taylor]: Taking taylor expansion of +nan.0 in n 0.416 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.416 * [taylor]: Taking taylor expansion of 0.5 in n 0.416 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.416 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.416 * [taylor]: Taking taylor expansion of 1.0 in n 0.416 * [taylor]: Taking taylor expansion of (log PI) in n 0.416 * [taylor]: Taking taylor expansion of PI in n 0.418 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.418 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.418 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.418 * [taylor]: Taking taylor expansion of 1.0 in n 0.418 * [taylor]: Taking taylor expansion of (log n) in n 0.418 * [taylor]: Taking taylor expansion of n in n 0.419 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.419 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.419 * [taylor]: Taking taylor expansion of 1.0 in n 0.419 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.419 * [taylor]: Taking taylor expansion of 2.0 in n 0.438 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.438 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.438 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.438 * [taylor]: Taking taylor expansion of +nan.0 in n 0.438 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.438 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.438 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.438 * [taylor]: Taking taylor expansion of 0.5 in n 0.438 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.438 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.438 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.438 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.438 * [taylor]: Taking taylor expansion of 1.0 in n 0.438 * [taylor]: Taking taylor expansion of (log PI) in n 0.438 * [taylor]: Taking taylor expansion of PI in n 0.440 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.440 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.440 * [taylor]: Taking taylor expansion of 1.0 in n 0.440 * [taylor]: Taking taylor expansion of (log n) in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.440 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.440 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.440 * [taylor]: Taking taylor expansion of 1.0 in n 0.441 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.441 * [taylor]: Taking taylor expansion of 2.0 in n 0.446 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.446 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.446 * [taylor]: Taking taylor expansion of +nan.0 in n 0.446 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.446 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.446 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.446 * [taylor]: Taking taylor expansion of 0.5 in n 0.446 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.446 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.446 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.446 * [taylor]: Taking taylor expansion of 2.0 in n 0.448 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.448 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.448 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log PI) in n 0.448 * [taylor]: Taking taylor expansion of PI in n 0.450 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.450 * [taylor]: Taking taylor expansion of 1.0 in n 0.450 * [taylor]: Taking taylor expansion of (log n) in n 0.450 * [taylor]: Taking taylor expansion of n in n 0.454 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.454 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.454 * [taylor]: Taking taylor expansion of 2.0 in n 0.454 * [taylor]: Taking taylor expansion of (* n PI) in n 0.454 * [taylor]: Taking taylor expansion of n in n 0.454 * [taylor]: Taking taylor expansion of PI in n 0.511 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.511 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.511 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.511 * [taylor]: Taking taylor expansion of +nan.0 in n 0.511 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.511 * [taylor]: Taking taylor expansion of 0.5 in n 0.511 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.511 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.511 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.511 * [taylor]: Taking taylor expansion of 2.0 in n 0.513 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.513 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.513 * [taylor]: Taking taylor expansion of 1.0 in n 0.513 * [taylor]: Taking taylor expansion of (log n) in n 0.513 * [taylor]: Taking taylor expansion of n in n 0.514 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log PI) in n 0.514 * [taylor]: Taking taylor expansion of PI in n 0.519 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.519 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.519 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.519 * [taylor]: Taking taylor expansion of +nan.0 in n 0.519 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.519 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.519 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.519 * [taylor]: Taking taylor expansion of 0.5 in n 0.519 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.519 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.519 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.520 * [taylor]: Taking taylor expansion of 1.0 in n 0.520 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.520 * [taylor]: Taking taylor expansion of 2.0 in n 0.521 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.521 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.521 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.521 * [taylor]: Taking taylor expansion of 1.0 in n 0.521 * [taylor]: Taking taylor expansion of (log PI) in n 0.521 * [taylor]: Taking taylor expansion of PI in n 0.523 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.523 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.523 * [taylor]: Taking taylor expansion of 1.0 in n 0.523 * [taylor]: Taking taylor expansion of (log n) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.527 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.527 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.527 * [taylor]: Taking taylor expansion of 2.0 in n 0.527 * [taylor]: Taking taylor expansion of (* n PI) in n 0.527 * [taylor]: Taking taylor expansion of n in n 0.528 * [taylor]: Taking taylor expansion of PI in n 0.530 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.531 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.531 * [taylor]: Taking taylor expansion of +nan.0 in n 0.531 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.531 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.531 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.531 * [taylor]: Taking taylor expansion of 0.5 in n 0.531 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.531 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.531 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.531 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.533 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.533 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.533 * [taylor]: Taking taylor expansion of 1.0 in n 0.533 * [taylor]: Taking taylor expansion of (log PI) in n 0.533 * [taylor]: Taking taylor expansion of PI in n 0.534 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log n) in n 0.534 * [taylor]: Taking taylor expansion of n in n 0.539 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.539 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.539 * [taylor]: Taking taylor expansion of 2.0 in n 0.539 * [taylor]: Taking taylor expansion of (* n PI) in n 0.539 * [taylor]: Taking taylor expansion of n in n 0.539 * [taylor]: Taking taylor expansion of PI in n 0.617 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.617 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.617 * [taylor]: Taking taylor expansion of 1.0 in n 0.618 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.618 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.618 * [taylor]: Taking taylor expansion of k in n 0.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.618 * [taylor]: Taking taylor expansion of 0.5 in n 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.618 * [taylor]: Taking taylor expansion of 1.0 in n 0.618 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.618 * [taylor]: Taking taylor expansion of k in n 0.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.618 * [taylor]: Taking taylor expansion of 2.0 in n 0.618 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.618 * [taylor]: Taking taylor expansion of PI in n 0.618 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.622 * [taylor]: Taking taylor expansion of 1.0 in k 0.622 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.622 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.622 * [taylor]: Taking taylor expansion of k in k 0.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.623 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.623 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.623 * [taylor]: Taking taylor expansion of 0.5 in k 0.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.623 * [taylor]: Taking taylor expansion of 1.0 in k 0.623 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.623 * [taylor]: Taking taylor expansion of k in k 0.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.623 * [taylor]: Taking taylor expansion of 2.0 in k 0.623 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.623 * [taylor]: Taking taylor expansion of PI in k 0.623 * [taylor]: Taking taylor expansion of n in k 0.624 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.624 * [taylor]: Taking taylor expansion of 1.0 in k 0.624 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.624 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.624 * [taylor]: Taking taylor expansion of k in k 0.625 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.625 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.625 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.625 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.625 * [taylor]: Taking taylor expansion of 0.5 in k 0.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.625 * [taylor]: Taking taylor expansion of 1.0 in k 0.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.625 * [taylor]: Taking taylor expansion of k in k 0.626 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.626 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.626 * [taylor]: Taking taylor expansion of 2.0 in k 0.626 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.626 * [taylor]: Taking taylor expansion of PI in k 0.626 * [taylor]: Taking taylor expansion of n in k 0.627 * [taylor]: Taking taylor expansion of 0 in n 0.628 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.628 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.628 * [taylor]: Taking taylor expansion of +nan.0 in n 0.628 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.628 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.628 * [taylor]: Taking taylor expansion of 0.5 in n 0.628 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.628 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.628 * [taylor]: Taking taylor expansion of 2.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.628 * [taylor]: Taking taylor expansion of PI in n 0.628 * [taylor]: Taking taylor expansion of n in n 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.629 * [taylor]: Taking taylor expansion of 1.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.630 * [taylor]: Taking taylor expansion of k in n 0.638 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.638 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.638 * [taylor]: Taking taylor expansion of +nan.0 in n 0.638 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.638 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.638 * [taylor]: Taking taylor expansion of 0.5 in n 0.638 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.638 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.638 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.638 * [taylor]: Taking taylor expansion of 2.0 in n 0.638 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.638 * [taylor]: Taking taylor expansion of PI in n 0.638 * [taylor]: Taking taylor expansion of n in n 0.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.639 * [taylor]: Taking taylor expansion of 1.0 in n 0.639 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.639 * [taylor]: Taking taylor expansion of k in n 0.661 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.661 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.661 * [taylor]: Taking taylor expansion of +nan.0 in n 0.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.661 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.661 * [taylor]: Taking taylor expansion of 0.5 in n 0.661 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.661 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.661 * [taylor]: Taking taylor expansion of 2.0 in n 0.661 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.661 * [taylor]: Taking taylor expansion of PI in n 0.661 * [taylor]: Taking taylor expansion of n in n 0.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.662 * [taylor]: Taking taylor expansion of 1.0 in n 0.662 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.662 * [taylor]: Taking taylor expansion of k in n 0.671 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.671 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.671 * [taylor]: Taking taylor expansion of 1.0 in n 0.671 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.671 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.671 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.671 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.671 * [taylor]: Taking taylor expansion of 0.5 in n 0.671 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.671 * [taylor]: Taking taylor expansion of k in n 0.671 * [taylor]: Taking taylor expansion of 1.0 in n 0.671 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.671 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.671 * [taylor]: Taking taylor expansion of -2.0 in n 0.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.671 * [taylor]: Taking taylor expansion of PI in n 0.671 * [taylor]: Taking taylor expansion of n in n 0.675 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.675 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.675 * [taylor]: Taking taylor expansion of -1 in n 0.675 * [taylor]: Taking taylor expansion of k in n 0.676 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.676 * [taylor]: Taking taylor expansion of 1.0 in k 0.676 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.676 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.676 * [taylor]: Taking taylor expansion of 0.5 in k 0.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.676 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of 1.0 in k 0.676 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.676 * [taylor]: Taking taylor expansion of -2.0 in k 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.676 * [taylor]: Taking taylor expansion of PI in k 0.676 * [taylor]: Taking taylor expansion of n in k 0.677 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.677 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.677 * [taylor]: Taking taylor expansion of -1 in k 0.677 * [taylor]: Taking taylor expansion of k in k 0.679 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.679 * [taylor]: Taking taylor expansion of 1.0 in k 0.679 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.679 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.679 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.679 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.679 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.679 * [taylor]: Taking taylor expansion of 0.5 in k 0.679 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.679 * [taylor]: Taking taylor expansion of k in k 0.679 * [taylor]: Taking taylor expansion of 1.0 in k 0.679 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.679 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.679 * [taylor]: Taking taylor expansion of -2.0 in k 0.679 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.679 * [taylor]: Taking taylor expansion of PI in k 0.679 * [taylor]: Taking taylor expansion of n in k 0.680 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.680 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.680 * [taylor]: Taking taylor expansion of -1 in k 0.680 * [taylor]: Taking taylor expansion of k in k 0.681 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.682 * [taylor]: Taking taylor expansion of +nan.0 in n 0.682 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (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 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.682 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.682 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.682 * [taylor]: Taking taylor expansion of k in n 0.682 * [taylor]: Taking taylor expansion of 1.0 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 0.691 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.691 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.691 * [taylor]: Taking taylor expansion of +nan.0 in n 0.691 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.691 * [taylor]: Taking taylor expansion of 0.5 in n 0.691 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.691 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.691 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.691 * [taylor]: Taking taylor expansion of k in n 0.691 * [taylor]: Taking taylor expansion of 1.0 in n 0.691 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.691 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.691 * [taylor]: Taking taylor expansion of -2.0 in n 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.691 * [taylor]: Taking taylor expansion of PI in n 0.691 * [taylor]: Taking taylor expansion of n in n 0.709 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.709 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.709 * [taylor]: Taking taylor expansion of +nan.0 in n 0.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.709 * [taylor]: Taking taylor expansion of 0.5 in n 0.709 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.709 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.709 * [taylor]: Taking taylor expansion of k in n 0.709 * [taylor]: Taking taylor expansion of 1.0 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 0.719 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.719 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.719 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.719 * [taylor]: Taking taylor expansion of 1.0 in k 0.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.719 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.719 * [taylor]: Taking taylor expansion of k in k 0.720 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.720 * [taylor]: Taking taylor expansion of 1.0 in k 0.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.737 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.737 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.737 * [taylor]: Taking taylor expansion of 1.0 in k 0.737 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.737 * [taylor]: Taking taylor expansion of k in k 0.738 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.738 * [taylor]: Taking taylor expansion of 1.0 in k 0.738 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.738 * [taylor]: Taking taylor expansion of k in k 0.748 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.748 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.748 * [taylor]: Taking taylor expansion of 1.0 in k 0.748 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.748 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.748 * [taylor]: Taking taylor expansion of -1 in k 0.748 * [taylor]: Taking taylor expansion of k in k 0.750 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.750 * [taylor]: Taking taylor expansion of 1.0 in k 0.750 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.750 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.750 * [taylor]: Taking taylor expansion of -1 in k 0.750 * [taylor]: Taking taylor expansion of k in k 0.762 * * * [progress]: simplifying candidates 0.762 * [simplify]: Simplifying using # : (* PI n) (* 2.0 n) (* (log (* (* 2.0 PI) n)) (/ (- 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) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* 2.0 n) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 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)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- 1.0) (- (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 0.769 * * [simplify]: iteration 0 : 605 enodes (cost 495 ) 0.779 * * [simplify]: iteration 1 : 2255 enodes (cost 461 ) 0.818 * * [simplify]: iteration 2 : 5001 enodes (cost 442 ) 0.821 * [simplify]: Simplified to: (* PI n) (* 2.0 n) (* (log (* (* 2.0 PI) n)) (/ (- 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 (* n PI)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* 2.0 n) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 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)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (- 1.0) (- (pow k 1/2)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* 2.0 (* n PI)) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* 2.0 (* n PI)) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (pow (* 2.0 (* n PI)) 0.5))))) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 0.821 * * * [progress]: adding candidates to table 0.969 * * [progress]: iteration 2 / 4 0.969 * * * [progress]: picking best candidate 0.986 * * * * [pick]: Picked # 0.986 * * * [progress]: localizing error 1.002 * * * [progress]: generating rewritten candidates 1.002 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.006 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.008 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.017 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.022 * * * [progress]: generating series expansions 1.022 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.022 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow 2.0 (* 0.5 (- 1.0 k))))) in (k) around 0 1.022 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 1.022 * [taylor]: Taking taylor expansion of 1.0 in k 1.022 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 1.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.022 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.022 * [taylor]: Taking taylor expansion of k in k 1.024 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 1.024 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 1.024 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 1.024 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.024 * [taylor]: Taking taylor expansion of 0.5 in k 1.024 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.024 * [taylor]: Taking taylor expansion of 1.0 in k 1.024 * [taylor]: Taking taylor expansion of k in k 1.024 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.024 * [taylor]: Taking taylor expansion of 2.0 in k 1.026 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow 2.0 (* 0.5 (- 1.0 k))))) in k 1.026 * [taylor]: Taking taylor expansion of 1.0 in k 1.026 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 1.026 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.026 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.026 * [taylor]: Taking taylor expansion of k in k 1.028 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 1.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 1.028 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 1.028 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.028 * [taylor]: Taking taylor expansion of 0.5 in k 1.028 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.028 * [taylor]: Taking taylor expansion of 1.0 in k 1.028 * [taylor]: Taking taylor expansion of k in k 1.028 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.028 * [taylor]: Taking taylor expansion of 2.0 in k 1.166 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 1.166 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.166 * [taylor]: Taking taylor expansion of 1.0 in k 1.166 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 1.166 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.166 * [taylor]: Taking taylor expansion of k in k 1.167 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 1.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 1.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 1.167 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.167 * [taylor]: Taking taylor expansion of 0.5 in k 1.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.167 * [taylor]: Taking taylor expansion of 1.0 in k 1.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.167 * [taylor]: Taking taylor expansion of k in k 1.168 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.168 * [taylor]: Taking taylor expansion of 2.0 in k 1.169 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.169 * [taylor]: Taking taylor expansion of 1.0 in k 1.169 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 1.169 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.169 * [taylor]: Taking taylor expansion of k in k 1.171 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 1.171 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 1.171 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 1.171 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.171 * [taylor]: Taking taylor expansion of 0.5 in k 1.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.171 * [taylor]: Taking taylor expansion of 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 (log 2.0) in k 1.171 * [taylor]: Taking taylor expansion of 2.0 in k 1.185 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 1.185 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.185 * [taylor]: Taking taylor expansion of 1.0 in k 1.185 * [taylor]: Taking taylor expansion of (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.185 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 1.185 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 1.185 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 1.185 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.185 * [taylor]: Taking taylor expansion of 0.5 in k 1.185 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.185 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.185 * [taylor]: Taking taylor expansion of k in k 1.186 * [taylor]: Taking taylor expansion of 1.0 in k 1.186 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.186 * [taylor]: Taking taylor expansion of 2.0 in k 1.187 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.187 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.187 * [taylor]: Taking taylor expansion of -1 in k 1.187 * [taylor]: Taking taylor expansion of k in k 1.189 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.189 * [taylor]: Taking taylor expansion of 1.0 in k 1.189 * [taylor]: Taking taylor expansion of (/ (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.189 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 1.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 1.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 1.189 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.189 * [taylor]: Taking taylor expansion of 0.5 in k 1.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.189 * [taylor]: Taking taylor expansion of k in k 1.189 * [taylor]: Taking taylor expansion of 1.0 in k 1.189 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.190 * [taylor]: Taking taylor expansion of 2.0 in k 1.191 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.191 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.191 * [taylor]: Taking taylor expansion of -1 in k 1.191 * [taylor]: Taking taylor expansion of k in k 1.204 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.204 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.204 * [taylor]: Taking taylor expansion of (* n PI) in n 1.204 * [taylor]: Taking taylor expansion of n in n 1.204 * [taylor]: Taking taylor expansion of PI in n 1.204 * [taylor]: Taking taylor expansion of (* n PI) in n 1.204 * [taylor]: Taking taylor expansion of n in n 1.204 * [taylor]: Taking taylor expansion of PI in n 1.210 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.210 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.210 * [taylor]: Taking taylor expansion of PI in n 1.210 * [taylor]: Taking taylor expansion of n in n 1.211 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.211 * [taylor]: Taking taylor expansion of PI in n 1.211 * [taylor]: Taking taylor expansion of n in n 1.214 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 1.214 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.214 * [taylor]: Taking taylor expansion of -1 in n 1.214 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.214 * [taylor]: Taking taylor expansion of PI in n 1.214 * [taylor]: Taking taylor expansion of n in n 1.215 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.215 * [taylor]: Taking taylor expansion of -1 in n 1.215 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.215 * [taylor]: Taking taylor expansion of PI in n 1.215 * [taylor]: Taking taylor expansion of n in n 1.229 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.229 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in (k n) around 0 1.229 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in n 1.230 * [taylor]: Taking taylor expansion of 1.0 in n 1.230 * [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 1.230 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.230 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.230 * [taylor]: Taking taylor expansion of k in n 1.230 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in n 1.230 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 1.230 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 1.230 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 1.230 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.230 * [taylor]: Taking taylor expansion of 0.5 in n 1.230 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.230 * [taylor]: Taking taylor expansion of 1.0 in n 1.230 * [taylor]: Taking taylor expansion of k in n 1.230 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.230 * [taylor]: Taking taylor expansion of (* n PI) in n 1.230 * [taylor]: Taking taylor expansion of n in n 1.230 * [taylor]: Taking taylor expansion of PI in n 1.233 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 1.233 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 1.233 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 1.233 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.233 * [taylor]: Taking taylor expansion of 0.5 in n 1.233 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.233 * [taylor]: Taking taylor expansion of 1.0 in n 1.233 * [taylor]: Taking taylor expansion of k in n 1.233 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.233 * [taylor]: Taking taylor expansion of 2.0 in n 1.234 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 1.234 * [taylor]: Taking taylor expansion of 1.0 in k 1.234 * [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 1.234 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.234 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.234 * [taylor]: Taking taylor expansion of k in k 1.235 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 1.235 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 1.235 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 1.235 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 1.235 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.235 * [taylor]: Taking taylor expansion of 0.5 in k 1.235 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.235 * [taylor]: Taking taylor expansion of 1.0 in k 1.235 * [taylor]: Taking taylor expansion of k in k 1.235 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 1.235 * [taylor]: Taking taylor expansion of (* n PI) in k 1.235 * [taylor]: Taking taylor expansion of n in k 1.235 * [taylor]: Taking taylor expansion of PI in k 1.236 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 1.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 1.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 1.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.236 * [taylor]: Taking taylor expansion of 0.5 in k 1.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.236 * [taylor]: Taking taylor expansion of 1.0 in k 1.236 * [taylor]: Taking taylor expansion of k in k 1.236 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.236 * [taylor]: Taking taylor expansion of 2.0 in k 1.239 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))))) in k 1.239 * [taylor]: Taking taylor expansion of 1.0 in k 1.239 * [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 1.239 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.239 * [taylor]: Taking taylor expansion of k in k 1.240 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 (- 1.0 k)))) in k 1.240 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 1.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 1.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 1.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.240 * [taylor]: Taking taylor expansion of 0.5 in k 1.240 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.240 * [taylor]: Taking taylor expansion of 1.0 in k 1.240 * [taylor]: Taking taylor expansion of k in k 1.240 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 1.240 * [taylor]: Taking taylor expansion of (* n PI) in k 1.240 * [taylor]: Taking taylor expansion of n in k 1.240 * [taylor]: Taking taylor expansion of PI in k 1.241 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 1.241 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 1.241 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 1.241 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.241 * [taylor]: Taking taylor expansion of 0.5 in k 1.241 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.241 * [taylor]: Taking taylor expansion of 1.0 in k 1.241 * [taylor]: Taking taylor expansion of k in k 1.241 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.241 * [taylor]: Taking taylor expansion of 2.0 in k 1.245 * [taylor]: Taking taylor expansion of 0 in n 1.264 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.264 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.264 * [taylor]: Taking taylor expansion of +nan.0 in n 1.264 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.264 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.264 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.264 * [taylor]: Taking taylor expansion of 0.5 in n 1.264 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.264 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.264 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.264 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.264 * [taylor]: Taking taylor expansion of 1.0 in n 1.264 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.264 * [taylor]: Taking taylor expansion of 2.0 in n 1.266 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.266 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.266 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.266 * [taylor]: Taking taylor expansion of 1.0 in n 1.266 * [taylor]: Taking taylor expansion of (log n) in n 1.266 * [taylor]: Taking taylor expansion of n in n 1.267 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.267 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.267 * [taylor]: Taking taylor expansion of 1.0 in n 1.267 * [taylor]: Taking taylor expansion of (log PI) in n 1.267 * [taylor]: Taking taylor expansion of PI in n 1.312 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 1.312 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 1.312 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI)))) in n 1.312 * [taylor]: Taking taylor expansion of +nan.0 in n 1.312 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI))) in n 1.312 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.312 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.312 * [taylor]: Taking taylor expansion of 0.5 in n 1.313 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.313 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.313 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.313 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.313 * [taylor]: Taking taylor expansion of 1.0 in n 1.313 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.313 * [taylor]: Taking taylor expansion of 2.0 in n 1.314 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.314 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.314 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.314 * [taylor]: Taking taylor expansion of 1.0 in n 1.315 * [taylor]: Taking taylor expansion of (log n) in n 1.315 * [taylor]: Taking taylor expansion of n in n 1.315 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.315 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.315 * [taylor]: Taking taylor expansion of 1.0 in n 1.315 * [taylor]: Taking taylor expansion of (log PI) in n 1.315 * [taylor]: Taking taylor expansion of PI in n 1.321 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.321 * [taylor]: Taking taylor expansion of (* n PI) in n 1.321 * [taylor]: Taking taylor expansion of n in n 1.321 * [taylor]: Taking taylor expansion of PI in n 1.322 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 1.322 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 1.322 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.322 * [taylor]: Taking taylor expansion of +nan.0 in n 1.322 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.322 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.322 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.323 * [taylor]: Taking taylor expansion of 0.5 in n 1.323 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.323 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.323 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.323 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.323 * [taylor]: Taking taylor expansion of 1.0 in n 1.323 * [taylor]: Taking taylor expansion of (log PI) in n 1.323 * [taylor]: Taking taylor expansion of PI in n 1.324 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.324 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.324 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.325 * [taylor]: Taking taylor expansion of 1.0 in n 1.325 * [taylor]: Taking taylor expansion of (log n) in n 1.325 * [taylor]: Taking taylor expansion of n in n 1.325 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.325 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.325 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.325 * [taylor]: Taking taylor expansion of 1.0 in n 1.325 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.325 * [taylor]: Taking taylor expansion of 2.0 in n 1.330 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.330 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.330 * [taylor]: Taking taylor expansion of +nan.0 in n 1.330 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.331 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.331 * [taylor]: Taking taylor expansion of 2.0 in n 1.331 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.331 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.331 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.331 * [taylor]: Taking taylor expansion of 0.5 in n 1.331 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.331 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.331 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.331 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.331 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.331 * [taylor]: Taking taylor expansion of 1.0 in n 1.331 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.331 * [taylor]: Taking taylor expansion of 2.0 in n 1.333 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.333 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.333 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.333 * [taylor]: Taking taylor expansion of 1.0 in n 1.333 * [taylor]: Taking taylor expansion of (log n) in n 1.333 * [taylor]: Taking taylor expansion of n in n 1.334 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.334 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.334 * [taylor]: Taking taylor expansion of 1.0 in n 1.334 * [taylor]: Taking taylor expansion of (log PI) in n 1.334 * [taylor]: Taking taylor expansion of PI in n 1.433 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI)))) (- (+ (* +nan.0 (* (* (log 2.0) (log (* n PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) in n 1.433 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI)))) (- (+ (* +nan.0 (* (* (log 2.0) (log (* n PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) in n 1.433 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.433 * [taylor]: Taking taylor expansion of +nan.0 in n 1.433 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.433 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 1.433 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.433 * [taylor]: Taking taylor expansion of 2.0 in n 1.433 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.433 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.433 * [taylor]: Taking taylor expansion of 0.5 in n 1.433 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.434 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.434 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.434 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.434 * [taylor]: Taking taylor expansion of 1.0 in n 1.434 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.434 * [taylor]: Taking taylor expansion of 2.0 in n 1.435 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.435 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.435 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.435 * [taylor]: Taking taylor expansion of 1.0 in n 1.435 * [taylor]: Taking taylor expansion of (log n) in n 1.435 * [taylor]: Taking taylor expansion of n in n 1.436 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.436 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.436 * [taylor]: Taking taylor expansion of 1.0 in n 1.436 * [taylor]: Taking taylor expansion of (log PI) in n 1.436 * [taylor]: Taking taylor expansion of PI in n 1.441 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI)))) (- (+ (* +nan.0 (* (* (log 2.0) (log (* n PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) in n 1.441 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI)))) (- (+ (* +nan.0 (* (* (log 2.0) (log (* n PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))) in n 1.441 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI)))) in n 1.441 * [taylor]: Taking taylor expansion of +nan.0 in n 1.442 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* n PI))) in n 1.442 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.442 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.442 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.442 * [taylor]: Taking taylor expansion of 0.5 in n 1.442 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.442 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.442 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.442 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.442 * [taylor]: Taking taylor expansion of 1.0 in n 1.442 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.442 * [taylor]: Taking taylor expansion of 2.0 in n 1.444 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.444 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.444 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.444 * [taylor]: Taking taylor expansion of 1.0 in n 1.444 * [taylor]: Taking taylor expansion of (log n) in n 1.444 * [taylor]: Taking taylor expansion of n in n 1.444 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.444 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.444 * [taylor]: Taking taylor expansion of 1.0 in n 1.444 * [taylor]: Taking taylor expansion of (log PI) in n 1.444 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.450 * [taylor]: Taking taylor expansion of (* n PI) in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.451 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2.0) (log (* n PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) in n 1.451 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2.0) (log (* n PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))) in n 1.451 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log 2.0) (log (* n PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.451 * [taylor]: Taking taylor expansion of +nan.0 in n 1.451 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log (* n PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.451 * [taylor]: Taking taylor expansion of (* (log 2.0) (log (* n PI))) in n 1.451 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.451 * [taylor]: Taking taylor expansion of 2.0 in n 1.452 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.452 * [taylor]: Taking taylor expansion of (* n PI) in n 1.452 * [taylor]: Taking taylor expansion of n in n 1.452 * [taylor]: Taking taylor expansion of PI in n 1.453 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.453 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.453 * [taylor]: Taking taylor expansion of 0.5 in n 1.453 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.453 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.453 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.453 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.453 * [taylor]: Taking taylor expansion of 1.0 in n 1.453 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.453 * [taylor]: Taking taylor expansion of 2.0 in n 1.455 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.455 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.455 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.455 * [taylor]: Taking taylor expansion of 1.0 in n 1.455 * [taylor]: Taking taylor expansion of (log n) in n 1.455 * [taylor]: Taking taylor expansion of n in n 1.456 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.456 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.456 * [taylor]: Taking taylor expansion of 1.0 in n 1.456 * [taylor]: Taking taylor expansion of (log PI) in n 1.456 * [taylor]: Taking taylor expansion of PI in n 1.461 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) in n 1.461 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) in n 1.461 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.461 * [taylor]: Taking taylor expansion of +nan.0 in n 1.461 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.461 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.461 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.461 * [taylor]: Taking taylor expansion of 0.5 in n 1.461 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.461 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.461 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.461 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.461 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.461 * [taylor]: Taking taylor expansion of 1.0 in n 1.461 * [taylor]: Taking taylor expansion of (log PI) in n 1.461 * [taylor]: Taking taylor expansion of PI in n 1.463 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.463 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.463 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.463 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.463 * [taylor]: Taking taylor expansion of 1.0 in n 1.463 * [taylor]: Taking taylor expansion of (log n) in n 1.463 * [taylor]: Taking taylor expansion of n in n 1.464 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.464 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.464 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.464 * [taylor]: Taking taylor expansion of 1.0 in n 1.464 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.464 * [taylor]: Taking taylor expansion of 2.0 in n 1.469 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 1.469 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 1.469 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2))) in n 1.469 * [taylor]: Taking taylor expansion of +nan.0 in n 1.469 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* n PI)) 2)) in n 1.469 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.469 * [taylor]: Taking taylor expansion of 0.5 in n 1.469 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.469 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.469 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.469 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.469 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.469 * [taylor]: Taking taylor expansion of 1.0 in n 1.469 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.469 * [taylor]: Taking taylor expansion of 2.0 in n 1.471 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.471 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.471 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.471 * [taylor]: Taking taylor expansion of 1.0 in n 1.471 * [taylor]: Taking taylor expansion of (log n) in n 1.471 * [taylor]: Taking taylor expansion of n in n 1.472 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.472 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.472 * [taylor]: Taking taylor expansion of 1.0 in n 1.472 * [taylor]: Taking taylor expansion of (log PI) in n 1.472 * [taylor]: Taking taylor expansion of PI in n 1.477 * [taylor]: Taking taylor expansion of (pow (log (* n PI)) 2) in n 1.477 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.477 * [taylor]: Taking taylor expansion of (* n PI) in n 1.477 * [taylor]: Taking taylor expansion of n in n 1.477 * [taylor]: Taking taylor expansion of PI in n 1.479 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 1.479 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 1.479 * [taylor]: Taking taylor expansion of +nan.0 in n 1.479 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 1.479 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.479 * [taylor]: Taking taylor expansion of 2.0 in n 1.480 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.480 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.480 * [taylor]: Taking taylor expansion of 0.5 in n 1.480 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.480 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.480 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.480 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.480 * [taylor]: Taking taylor expansion of 1.0 in n 1.480 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.480 * [taylor]: Taking taylor expansion of 2.0 in n 1.481 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.482 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.482 * [taylor]: Taking taylor expansion of 1.0 in n 1.482 * [taylor]: Taking taylor expansion of (log n) in n 1.482 * [taylor]: Taking taylor expansion of n in n 1.482 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.482 * [taylor]: Taking taylor expansion of 1.0 in n 1.482 * [taylor]: Taking taylor expansion of (log PI) in n 1.482 * [taylor]: Taking taylor expansion of PI in n 1.656 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 1.656 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))))) in n 1.656 * [taylor]: Taking taylor expansion of 1.0 in n 1.656 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.656 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.656 * [taylor]: Taking taylor expansion of k in n 1.656 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.657 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 1.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 1.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 1.657 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.657 * [taylor]: Taking taylor expansion of 0.5 in n 1.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.657 * [taylor]: Taking taylor expansion of 1.0 in n 1.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.657 * [taylor]: Taking taylor expansion of k in n 1.657 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.657 * [taylor]: Taking taylor expansion of 2.0 in n 1.658 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.658 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.658 * [taylor]: Taking taylor expansion of 0.5 in n 1.658 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.658 * [taylor]: Taking taylor expansion of 1.0 in n 1.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.658 * [taylor]: Taking taylor expansion of k in n 1.658 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.658 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.658 * [taylor]: Taking taylor expansion of PI in n 1.658 * [taylor]: Taking taylor expansion of n in n 1.660 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))))) in k 1.660 * [taylor]: Taking taylor expansion of 1.0 in k 1.660 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.660 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.660 * [taylor]: Taking taylor expansion of k in k 1.661 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.661 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 1.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 1.661 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 1.661 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.661 * [taylor]: Taking taylor expansion of 0.5 in k 1.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.661 * [taylor]: Taking taylor expansion of 1.0 in k 1.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.662 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.662 * [taylor]: Taking taylor expansion of 2.0 in k 1.663 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 1.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 1.664 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.664 * [taylor]: Taking taylor expansion of 0.5 in k 1.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.664 * [taylor]: Taking taylor expansion of 1.0 in k 1.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.664 * [taylor]: Taking taylor expansion of k in k 1.664 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 1.664 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.664 * [taylor]: Taking taylor expansion of PI in k 1.664 * [taylor]: Taking taylor expansion of n in k 1.665 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))))) in k 1.665 * [taylor]: Taking taylor expansion of 1.0 in k 1.665 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.665 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.665 * [taylor]: Taking taylor expansion of k in k 1.666 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.666 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 1.666 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 1.666 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 1.666 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.666 * [taylor]: Taking taylor expansion of 0.5 in k 1.666 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.666 * [taylor]: Taking taylor expansion of 1.0 in k 1.666 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.666 * [taylor]: Taking taylor expansion of k in k 1.666 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.666 * [taylor]: Taking taylor expansion of 2.0 in k 1.668 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 1.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 1.668 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.668 * [taylor]: Taking taylor expansion of 0.5 in k 1.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.668 * [taylor]: Taking taylor expansion of 1.0 in k 1.668 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.668 * [taylor]: Taking taylor expansion of k in k 1.669 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 1.669 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.669 * [taylor]: Taking taylor expansion of PI in k 1.669 * [taylor]: Taking taylor expansion of n in k 1.671 * [taylor]: Taking taylor expansion of 0 in n 1.673 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) in n 1.673 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 1.673 * [taylor]: Taking taylor expansion of +nan.0 in n 1.673 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 1.673 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 1.673 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 1.673 * [taylor]: Taking taylor expansion of 0.5 in n 1.673 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 1.673 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.673 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.673 * [taylor]: Taking taylor expansion of PI in n 1.673 * [taylor]: Taking taylor expansion of n in n 1.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.673 * [taylor]: Taking taylor expansion of 1.0 in n 1.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.674 * [taylor]: Taking taylor expansion of k in n 1.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 1.675 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 1.675 * [taylor]: Taking taylor expansion of 0.5 in n 1.675 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 1.675 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.675 * [taylor]: Taking taylor expansion of 2.0 in n 1.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.676 * [taylor]: Taking taylor expansion of 1.0 in n 1.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.676 * [taylor]: Taking taylor expansion of k in n 1.685 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) in n 1.685 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 1.685 * [taylor]: Taking taylor expansion of +nan.0 in n 1.685 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 1.685 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 1.685 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 1.685 * [taylor]: Taking taylor expansion of 0.5 in n 1.685 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 1.685 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.685 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.685 * [taylor]: Taking taylor expansion of PI in n 1.685 * [taylor]: Taking taylor expansion of n in n 1.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.685 * [taylor]: Taking taylor expansion of 1.0 in n 1.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.685 * [taylor]: Taking taylor expansion of k in n 1.687 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 1.687 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 1.687 * [taylor]: Taking taylor expansion of 0.5 in n 1.687 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 1.687 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.687 * [taylor]: Taking taylor expansion of 2.0 in n 1.687 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.687 * [taylor]: Taking taylor expansion of 1.0 in n 1.687 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.688 * [taylor]: Taking taylor expansion of k in n 1.706 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))))) in n 1.706 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 1.706 * [taylor]: Taking taylor expansion of +nan.0 in n 1.706 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 1.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k))))) in n 1.706 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ PI n)) (- 1.0 (/ 1 k)))) in n 1.706 * [taylor]: Taking taylor expansion of 0.5 in n 1.706 * [taylor]: Taking taylor expansion of (* (log (/ PI n)) (- 1.0 (/ 1 k))) in n 1.706 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.706 * [taylor]: Taking taylor expansion of PI in n 1.706 * [taylor]: Taking taylor expansion of n in n 1.707 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.707 * [taylor]: Taking taylor expansion of 1.0 in n 1.707 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.707 * [taylor]: Taking taylor expansion of k in n 1.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 1.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 1.709 * [taylor]: Taking taylor expansion of 0.5 in n 1.709 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 1.709 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.709 * [taylor]: Taking taylor expansion of 2.0 in n 1.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.710 * [taylor]: Taking taylor expansion of 1.0 in n 1.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.710 * [taylor]: Taking taylor expansion of k in n 1.717 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 1.717 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 1.717 * [taylor]: Taking taylor expansion of 1.0 in n 1.717 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 1.717 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 1.717 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 1.717 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 1.717 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 1.717 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.717 * [taylor]: Taking taylor expansion of 0.5 in n 1.717 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.717 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.717 * [taylor]: Taking taylor expansion of k in n 1.717 * [taylor]: Taking taylor expansion of 1.0 in n 1.717 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.717 * [taylor]: Taking taylor expansion of 2.0 in n 1.718 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.718 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.718 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.718 * [taylor]: Taking taylor expansion of 0.5 in n 1.718 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.718 * [taylor]: Taking taylor expansion of k in n 1.718 * [taylor]: Taking taylor expansion of 1.0 in n 1.718 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.718 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.718 * [taylor]: Taking taylor expansion of -1 in n 1.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.718 * [taylor]: Taking taylor expansion of PI in n 1.718 * [taylor]: Taking taylor expansion of n in n 1.722 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.722 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.722 * [taylor]: Taking taylor expansion of -1 in n 1.722 * [taylor]: Taking taylor expansion of k in n 1.724 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 1.725 * [taylor]: Taking taylor expansion of 1.0 in k 1.725 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 1.725 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.725 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 1.725 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 1.725 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 1.725 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.725 * [taylor]: Taking taylor expansion of 0.5 in k 1.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.725 * [taylor]: Taking taylor expansion of k in k 1.725 * [taylor]: Taking taylor expansion of 1.0 in k 1.725 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.725 * [taylor]: Taking taylor expansion of 2.0 in k 1.727 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 1.727 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) 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 (* -1 (/ PI n))) in k 1.727 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 1.727 * [taylor]: Taking taylor expansion of -1 in k 1.727 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.727 * [taylor]: Taking taylor expansion of PI in k 1.727 * [taylor]: Taking taylor expansion of n in k 1.728 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.728 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.728 * [taylor]: Taking taylor expansion of -1 in k 1.728 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 1.730 * [taylor]: Taking taylor expansion of 1.0 in k 1.730 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 1.730 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 1.730 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 1.730 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 1.730 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 1.730 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.730 * [taylor]: Taking taylor expansion of 0.5 in k 1.730 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.730 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.731 * [taylor]: Taking taylor expansion of 1.0 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 (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 1.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 1.732 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.732 * [taylor]: Taking taylor expansion of 0.5 in k 1.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.732 * [taylor]: Taking taylor expansion of k in k 1.733 * [taylor]: Taking taylor expansion of 1.0 in k 1.733 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1.733 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 1.733 * [taylor]: Taking taylor expansion of -1 in k 1.733 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.733 * [taylor]: Taking taylor expansion of PI in k 1.733 * [taylor]: Taking taylor expansion of n in k 1.734 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.734 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.734 * [taylor]: Taking taylor expansion of -1 in k 1.734 * [taylor]: Taking taylor expansion of k in k 1.737 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 1.737 * [taylor]: Taking taylor expansion of +nan.0 in n 1.737 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 1.737 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 1.737 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 1.737 * [taylor]: Taking taylor expansion of 0.5 in n 1.737 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 1.737 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.737 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.737 * [taylor]: Taking taylor expansion of k in n 1.737 * [taylor]: Taking taylor expansion of 1.0 in n 1.737 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.737 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.737 * [taylor]: Taking taylor expansion of -1 in n 1.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.737 * [taylor]: Taking taylor expansion of PI in n 1.737 * [taylor]: Taking taylor expansion of n in n 1.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 1.746 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 1.746 * [taylor]: Taking taylor expansion of 0.5 in n 1.746 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 1.746 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.746 * [taylor]: Taking taylor expansion of 2.0 in n 1.747 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.747 * [taylor]: Taking taylor expansion of k in n 1.747 * [taylor]: Taking taylor expansion of 1.0 in n 1.756 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) in n 1.756 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 1.756 * [taylor]: Taking taylor expansion of +nan.0 in n 1.756 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 1.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 1.756 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 1.756 * [taylor]: Taking taylor expansion of 0.5 in n 1.756 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 1.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.756 * [taylor]: Taking taylor expansion of k in n 1.756 * [taylor]: Taking taylor expansion of 1.0 in n 1.756 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.756 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.756 * [taylor]: Taking taylor expansion of -1 in n 1.756 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.756 * [taylor]: Taking taylor expansion of PI in n 1.756 * [taylor]: Taking taylor expansion of n in n 1.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 1.760 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 1.760 * [taylor]: Taking taylor expansion of 0.5 in n 1.760 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 1.760 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.760 * [taylor]: Taking taylor expansion of 2.0 in n 1.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.761 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.761 * [taylor]: Taking taylor expansion of k in n 1.761 * [taylor]: Taking taylor expansion of 1.0 in n 1.783 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) in n 1.783 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 1.783 * [taylor]: Taking taylor expansion of +nan.0 in n 1.783 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 1.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))))) in n 1.783 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n))))) in n 1.783 * [taylor]: Taking taylor expansion of 0.5 in n 1.784 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -1 (/ PI n)))) in n 1.784 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.784 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.784 * [taylor]: Taking taylor expansion of k in n 1.784 * [taylor]: Taking taylor expansion of 1.0 in n 1.784 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.784 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.784 * [taylor]: Taking taylor expansion of -1 in n 1.784 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.784 * [taylor]: Taking taylor expansion of PI in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.788 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 1.788 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 1.788 * [taylor]: Taking taylor expansion of 0.5 in n 1.788 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 1.788 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.788 * [taylor]: Taking taylor expansion of 2.0 in n 1.788 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.788 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.788 * [taylor]: Taking taylor expansion of k in n 1.788 * [taylor]: Taking taylor expansion of 1.0 in n 1.798 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.798 * [approximate]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in (n k) around 0 1.798 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 1.798 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 1.798 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 1.798 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.798 * [taylor]: Taking taylor expansion of 0.5 in k 1.798 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.798 * [taylor]: Taking taylor expansion of 1.0 in k 1.798 * [taylor]: Taking taylor expansion of k in k 1.798 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 1.798 * [taylor]: Taking taylor expansion of (* n PI) in k 1.798 * [taylor]: Taking taylor expansion of n in k 1.798 * [taylor]: Taking taylor expansion of PI in k 1.799 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 1.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 1.799 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 1.799 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.799 * [taylor]: Taking taylor expansion of 0.5 in n 1.799 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.799 * [taylor]: Taking taylor expansion of 1.0 in n 1.799 * [taylor]: Taking taylor expansion of k in n 1.799 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.799 * [taylor]: Taking taylor expansion of (* n PI) in n 1.799 * [taylor]: Taking taylor expansion of n in n 1.799 * [taylor]: Taking taylor expansion of PI in n 1.802 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 1.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 1.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 1.802 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.802 * [taylor]: Taking taylor expansion of 0.5 in n 1.802 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.802 * [taylor]: Taking taylor expansion of 1.0 in n 1.802 * [taylor]: Taking taylor expansion of k in n 1.802 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 1.802 * [taylor]: Taking taylor expansion of (* n PI) in n 1.802 * [taylor]: Taking taylor expansion of n in n 1.802 * [taylor]: Taking taylor expansion of PI in n 1.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) in k 1.805 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log n) (log PI)))) in k 1.805 * [taylor]: Taking taylor expansion of 0.5 in k 1.805 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log n) (log PI))) in k 1.805 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.805 * [taylor]: Taking taylor expansion of 1.0 in k 1.805 * [taylor]: Taking taylor expansion of k in k 1.805 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 1.805 * [taylor]: Taking taylor expansion of (log n) in k 1.805 * [taylor]: Taking taylor expansion of n in k 1.805 * [taylor]: Taking taylor expansion of (log PI) in k 1.805 * [taylor]: Taking taylor expansion of PI in k 1.810 * [taylor]: Taking taylor expansion of 0 in k 1.821 * [taylor]: Taking taylor expansion of 0 in k 1.839 * [approximate]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.839 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.839 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 1.839 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 1.839 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.839 * [taylor]: Taking taylor expansion of 0.5 in k 1.839 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.839 * [taylor]: Taking taylor expansion of 1.0 in k 1.839 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.839 * [taylor]: Taking taylor expansion of k in k 1.839 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 1.839 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.839 * [taylor]: Taking taylor expansion of PI in k 1.839 * [taylor]: Taking taylor expansion of n in k 1.840 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.840 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.840 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.840 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.840 * [taylor]: Taking taylor expansion of 0.5 in n 1.840 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.840 * [taylor]: Taking taylor expansion of 1.0 in n 1.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.841 * [taylor]: Taking taylor expansion of k in n 1.841 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.841 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.841 * [taylor]: Taking taylor expansion of PI in n 1.841 * [taylor]: Taking taylor expansion of n in n 1.843 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 1.843 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 1.843 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.843 * [taylor]: Taking taylor expansion of 0.5 in n 1.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.843 * [taylor]: Taking taylor expansion of 1.0 in n 1.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.843 * [taylor]: Taking taylor expansion of k in n 1.843 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 1.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.843 * [taylor]: Taking taylor expansion of PI in n 1.843 * [taylor]: Taking taylor expansion of n in n 1.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 1.845 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 1.845 * [taylor]: Taking taylor expansion of 0.5 in k 1.845 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 1.845 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 1.845 * [taylor]: Taking taylor expansion of (log PI) in k 1.845 * [taylor]: Taking taylor expansion of PI in k 1.845 * [taylor]: Taking taylor expansion of (log n) in k 1.845 * [taylor]: Taking taylor expansion of n in k 1.845 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.845 * [taylor]: Taking taylor expansion of 1.0 in k 1.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.846 * [taylor]: Taking taylor expansion of k in k 1.851 * [taylor]: Taking taylor expansion of 0 in k 1.857 * [taylor]: Taking taylor expansion of 0 in k 1.864 * [taylor]: Taking taylor expansion of 0 in k 1.864 * [approximate]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.864 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.864 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 1.864 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 1.864 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.864 * [taylor]: Taking taylor expansion of 0.5 in k 1.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.865 * [taylor]: Taking taylor expansion of k in k 1.865 * [taylor]: Taking taylor expansion of 1.0 in k 1.865 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 1.865 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 1.865 * [taylor]: Taking taylor expansion of -1 in k 1.865 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.865 * [taylor]: Taking taylor expansion of PI in k 1.865 * [taylor]: Taking taylor expansion of n in k 1.866 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.866 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.866 * [taylor]: Taking taylor expansion of 0.5 in n 1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 in n 1.866 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.866 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.866 * [taylor]: Taking taylor expansion of -1 in n 1.866 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.866 * [taylor]: Taking taylor expansion of PI in n 1.866 * [taylor]: Taking taylor expansion of n in n 1.869 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 1.870 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 1.870 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.870 * [taylor]: Taking taylor expansion of 0.5 in n 1.870 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 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 1.0 in n 1.870 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 1.870 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 1.870 * [taylor]: Taking taylor expansion of -1 in n 1.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.870 * [taylor]: Taking taylor expansion of PI in n 1.870 * [taylor]: Taking taylor expansion of n in n 1.873 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 1.873 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 1.873 * [taylor]: Taking taylor expansion of 0.5 in k 1.873 * [taylor]: Taking taylor expansion of (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 1.873 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 1.873 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 1.873 * [taylor]: Taking taylor expansion of (* -1 PI) in k 1.874 * [taylor]: Taking taylor expansion of -1 in k 1.874 * [taylor]: Taking taylor expansion of PI in k 1.874 * [taylor]: Taking taylor expansion of (log n) in k 1.874 * [taylor]: Taking taylor expansion of n in k 1.874 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.875 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.875 * [taylor]: Taking taylor expansion of k in k 1.875 * [taylor]: Taking taylor expansion of 1.0 in k 1.883 * [taylor]: Taking taylor expansion of 0 in k 1.890 * [taylor]: Taking taylor expansion of 0 in k 1.899 * [taylor]: Taking taylor expansion of 0 in k 1.900 * * * [progress]: simplifying candidates 1.901 * [simplify]: Simplifying using # : (* 1.0 (pow 2.0 (/ 1.0 2.0))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0))) (* 1 (pow 2.0 (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (* (- 1.0) (pow 2.0 (/ (- 1.0 k) 2.0))) (* 1 (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (* (sqrt k) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ k 2.0))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (* (- (sqrt k)) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ k 2.0))) (* (* 1 (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0))) (* (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (sqrt k) (pow (* PI n) (/ k 2.0))) (* (* (- 1.0) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* PI n) (/ k 2.0))) (* (* 1 (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow (* PI n) (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (/ 1 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (* 1.0 (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* 1 (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (- 1.0) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* 1 (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0)) (pow (* PI n) (- 1.0 k)) (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* k (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (pow 2.0 1.0) 0.5))) (- (* +nan.0 (* (* (log 2.0) k) (pow (pow 2.0 1.0) 0.5)))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) k))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (pow k 2))) (- (+ (* +nan.0 (exp (* 0.5 (* (log 2.0) (- 1.0 k))))) (- (* +nan.0 (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) k))))))) (* n PI) (* n PI) (* n PI) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 k))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 k))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 k))))) (pow k 3)))))))) (- (+ (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 k)))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 k))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) (exp (* 0.5 (* (log 2.0) (- 1.0 k))))) (pow k 2)))))))) (- (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (log PI) 2)))) (+ (exp (* 0.5 (+ (log n) (log PI)))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (log n) 2)))) (* 0.25 (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (* (log n) (log PI)))))))) (+ (* 0.5 (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log PI)))) (* 0.5 (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) 1.909 * * [simplify]: iteration 0 : 848 enodes (cost 809 ) 1.923 * * [simplify]: iteration 1 : 3470 enodes (cost 760 ) 1.982 * * [simplify]: iteration 2 : 5001 enodes (cost 731 ) 1.986 * [simplify]: Simplified to: (* 1.0 (pow 2.0 (/ 1.0 2.0))) (* (sqrt k) (pow 2.0 (/ k 2.0))) (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0))) (pow 2.0 (/ 1.0 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (* (- 1.0) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0)) (* (* 1.0 (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (* (sqrt k) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ k 2.0))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (* (- (sqrt k)) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ k 2.0))) (* (pow (* PI n) (/ 1.0 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow (* PI n) (/ k 2.0))) (* (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (sqrt k) (pow (* PI n) (/ k 2.0))) (* (* (- 1.0) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* PI n) (/ k 2.0))) (* (pow (* PI n) (/ 1.0 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ (sqrt k) 1.0) (pow (* PI n) (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt k))) (* (/ 1.0 (sqrt k)) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ 1.0 2.0))) (* (* 1.0 (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (* (/ 1.0 (sqrt k)) (pow 2.0 (/ 1.0 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (* (* (- 1.0) (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 2.0 (/ (- 1.0 k) 2.0))) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0)) (pow (* PI n) (- 1.0 k)) (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (fma (- (* +nan.0 (* (pow k 2) (pow (log 2.0) 2)))) (pow (pow 2.0 1.0) 0.5) (fma (* +nan.0 (pow (pow 2.0 1.0) 0.5)) k (fma (- (* +nan.0 (* (pow k 2) (log 2.0)))) (pow (pow 2.0 1.0) 0.5) (- (* +nan.0 (pow (pow 2.0 1.0) 0.5)) (fma +nan.0 (* (pow k 2) (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (* (log 2.0) k) (pow (pow 2.0 1.0) 0.5))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (pow k 2)) (* +nan.0 (- (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (pow k 3)) (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) k)))) (fma (- +nan.0) (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (pow k 2)) (* +nan.0 (- (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) (/ (exp (* 0.5 (* (log 2.0) (- 1.0 k)))) k)))) (* PI n) (* PI n) (* PI n) (fma (- (* +nan.0 (* (pow k 2) (pow (log PI) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log PI) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log PI)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (pow (log n) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) k (fma (- (* +nan.0 (* k (log 2.0)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +nan.0 k) (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (* (pow k 2) (* (log n) (log PI)))) (* +nan.0 (* (pow k 2) (* (log 2.0) (log n))))))))))))))))))) (fma (- +nan.0) (/ (/ (exp (+ (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n))))) (* 0.5 (* (log 2.0) (- 1.0 k))))) k) k) (- (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n))))) (* 0.5 (* (log 2.0) (- 1.0 k)))))) k) (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n))))) (* 0.5 (* (log 2.0) (- 1.0 k)))))) (pow k 3)))) (fma (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n))))) (* 0.5 (* (log 2.0) (- 1.0 k))))) (fma (/ (- (exp (+ (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n))))) (* 0.5 (* (log 2.0) (- 1.0 k)))))) (pow k 2)) +nan.0 (/ +nan.0 (/ k (exp (+ (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n))))) (* 0.5 (* (log 2.0) (- 1.0 k))))))))) (fma (- 0.5) (* (* k (exp (* 0.5 (+ (log n) (log PI))))) (log (* PI n))) (fma (* (* 0.125 (pow k 2)) (pow (log PI) 2)) (pow (* PI n) 0.5) (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* PI n) 0.5)) (+ (* 0.25 (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (* (log n) (log PI))))) (pow (* PI n) 0.5))))) (pow (* PI n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) 1.986 * * * [progress]: adding candidates to table 2.202 * * [progress]: iteration 3 / 4 2.202 * * * [progress]: picking best candidate 2.220 * * * * [pick]: Picked # 2.220 * * * [progress]: localizing error 2.245 * * * [progress]: generating rewritten candidates 2.246 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.253 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.255 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.267 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.273 * * * [progress]: generating series expansions 2.273 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.274 * [approximate]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow (pow 2.0 1.0) 0.5)) in (n k) around 0 2.274 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow (pow 2.0 1.0) 0.5)) in k 2.274 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.274 * [taylor]: Taking taylor expansion of 0.5 in k 2.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.275 * [taylor]: Taking taylor expansion of 1.0 in k 2.275 * [taylor]: Taking taylor expansion of k in k 2.275 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.275 * [taylor]: Taking taylor expansion of (* n PI) in k 2.275 * [taylor]: Taking taylor expansion of n in k 2.275 * [taylor]: Taking taylor expansion of PI in k 2.276 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 2.276 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 2.276 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 2.276 * [taylor]: Taking taylor expansion of 0.5 in k 2.276 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 2.276 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.276 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.276 * [taylor]: Taking taylor expansion of 1.0 in k 2.276 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.276 * [taylor]: Taking taylor expansion of 2.0 in k 2.281 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow (pow 2.0 1.0) 0.5)) in n 2.281 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.281 * [taylor]: Taking taylor expansion of 0.5 in n 2.281 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.281 * [taylor]: Taking taylor expansion of 1.0 in n 2.281 * [taylor]: Taking taylor expansion of k in n 2.281 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.281 * [taylor]: Taking taylor expansion of (* n PI) in n 2.281 * [taylor]: Taking taylor expansion of n in n 2.281 * [taylor]: Taking taylor expansion of PI in n 2.284 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 2.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 2.284 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 2.284 * [taylor]: Taking taylor expansion of 0.5 in n 2.284 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 2.284 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.284 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.284 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.284 * [taylor]: Taking taylor expansion of 1.0 in n 2.284 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.284 * [taylor]: Taking taylor expansion of 2.0 in n 2.289 * [taylor]: Taking taylor expansion of (* (pow (* n PI) (* 0.5 (- 1.0 k))) (pow (pow 2.0 1.0) 0.5)) in n 2.289 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.289 * [taylor]: Taking taylor expansion of 0.5 in n 2.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.289 * [taylor]: Taking taylor expansion of 1.0 in n 2.289 * [taylor]: Taking taylor expansion of k in n 2.289 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.289 * [taylor]: Taking taylor expansion of (* n PI) in n 2.289 * [taylor]: Taking taylor expansion of n in n 2.289 * [taylor]: Taking taylor expansion of PI in n 2.292 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 2.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 2.292 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 2.292 * [taylor]: Taking taylor expansion of 0.5 in n 2.292 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 2.292 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.292 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.292 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.292 * [taylor]: Taking taylor expansion of 1.0 in n 2.292 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.292 * [taylor]: Taking taylor expansion of 2.0 in n 2.298 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) (pow (pow 2.0 1.0) 0.5)) in k 2.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) in k 2.298 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log n) (log PI)))) in k 2.298 * [taylor]: Taking taylor expansion of 0.5 in k 2.298 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log n) (log PI))) in k 2.298 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.298 * [taylor]: Taking taylor expansion of 1.0 in k 2.299 * [taylor]: Taking taylor expansion of k in k 2.299 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 2.299 * [taylor]: Taking taylor expansion of (log n) in k 2.299 * [taylor]: Taking taylor expansion of n in k 2.299 * [taylor]: Taking taylor expansion of (log PI) in k 2.299 * [taylor]: Taking taylor expansion of PI in k 2.301 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 2.301 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 2.301 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 2.301 * [taylor]: Taking taylor expansion of 0.5 in k 2.301 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 2.301 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.301 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.301 * [taylor]: Taking taylor expansion of 1.0 in k 2.301 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.301 * [taylor]: Taking taylor expansion of 2.0 in k 2.316 * [taylor]: Taking taylor expansion of 0 in k 2.349 * [taylor]: Taking taylor expansion of 0 in k 2.379 * [approximate]: Taking taylor expansion of (* (pow (pow 2.0 1.0) 0.5) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 2.379 * [taylor]: Taking taylor expansion of (* (pow (pow 2.0 1.0) 0.5) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.379 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 2.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 2.379 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 2.379 * [taylor]: Taking taylor expansion of 0.5 in k 2.379 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 2.379 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.379 * [taylor]: Taking taylor expansion of 1.0 in k 2.379 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.379 * [taylor]: Taking taylor expansion of 2.0 in k 2.384 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.384 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 2.384 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 2.384 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.384 * [taylor]: Taking taylor expansion of 0.5 in k 2.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.384 * [taylor]: Taking taylor expansion of 1.0 in k 2.384 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.384 * [taylor]: Taking taylor expansion of k in k 2.384 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 2.384 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.384 * [taylor]: Taking taylor expansion of PI in k 2.384 * [taylor]: Taking taylor expansion of n in k 2.385 * [taylor]: Taking taylor expansion of (* (pow (pow 2.0 1.0) 0.5) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.385 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 2.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 2.385 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 2.385 * [taylor]: Taking taylor expansion of 0.5 in n 2.386 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 2.386 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.386 * [taylor]: Taking taylor expansion of 1.0 in n 2.386 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.386 * [taylor]: Taking taylor expansion of 2.0 in n 2.390 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.390 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.390 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.390 * [taylor]: Taking taylor expansion of 0.5 in n 2.390 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.390 * [taylor]: Taking taylor expansion of 1.0 in n 2.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.391 * [taylor]: Taking taylor expansion of k in n 2.391 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.391 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.391 * [taylor]: Taking taylor expansion of PI in n 2.391 * [taylor]: Taking taylor expansion of n in n 2.392 * [taylor]: Taking taylor expansion of (* (pow (pow 2.0 1.0) 0.5) (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.392 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 2.393 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 2.393 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 2.393 * [taylor]: Taking taylor expansion of 0.5 in n 2.393 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 2.393 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.393 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.393 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.393 * [taylor]: Taking taylor expansion of 1.0 in n 2.393 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.393 * [taylor]: Taking taylor expansion of 2.0 in n 2.397 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 2.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 2.398 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.398 * [taylor]: Taking taylor expansion of 0.5 in n 2.398 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.398 * [taylor]: Taking taylor expansion of 1.0 in n 2.398 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.398 * [taylor]: Taking taylor expansion of k in n 2.398 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 2.398 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.398 * [taylor]: Taking taylor expansion of PI in n 2.398 * [taylor]: Taking taylor expansion of n in n 2.401 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) (pow (pow 2.0 1.0) 0.5)) in k 2.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 2.401 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 2.401 * [taylor]: Taking taylor expansion of 0.5 in k 2.401 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 2.401 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 2.401 * [taylor]: Taking taylor expansion of (log PI) in k 2.401 * [taylor]: Taking taylor expansion of PI in k 2.401 * [taylor]: Taking taylor expansion of (log n) in k 2.401 * [taylor]: Taking taylor expansion of n in k 2.401 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.401 * [taylor]: Taking taylor expansion of 1.0 in k 2.401 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.401 * [taylor]: Taking taylor expansion of k in k 2.403 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 2.403 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 2.403 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 2.403 * [taylor]: Taking taylor expansion of 0.5 in k 2.403 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 2.403 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.403 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.403 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.403 * [taylor]: Taking taylor expansion of 1.0 in k 2.403 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.403 * [taylor]: Taking taylor expansion of 2.0 in k 2.426 * [taylor]: Taking taylor expansion of 0 in k 2.444 * [taylor]: Taking taylor expansion of 0 in k 2.470 * [taylor]: Taking taylor expansion of 0 in k 2.472 * [approximate]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow 2.0 1.0) 0.5)) in (n k) around 0 2.472 * [taylor]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow 2.0 1.0) 0.5)) in k 2.472 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 2.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 2.472 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.472 * [taylor]: Taking taylor expansion of 0.5 in k 2.472 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.472 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.472 * [taylor]: Taking taylor expansion of k in k 2.473 * [taylor]: Taking taylor expansion of 1.0 in k 2.473 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 2.473 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 2.473 * [taylor]: Taking taylor expansion of -1 in k 2.473 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.473 * [taylor]: Taking taylor expansion of PI in k 2.473 * [taylor]: Taking taylor expansion of n in k 2.474 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 2.474 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 2.474 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 2.474 * [taylor]: Taking taylor expansion of 0.5 in k 2.474 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 2.474 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.474 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.474 * [taylor]: Taking taylor expansion of 1.0 in k 2.474 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.474 * [taylor]: Taking taylor expansion of 2.0 in k 2.478 * [taylor]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow 2.0 1.0) 0.5)) in n 2.479 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.479 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.479 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.479 * [taylor]: Taking taylor expansion of 0.5 in n 2.479 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.479 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.479 * [taylor]: Taking taylor expansion of k in n 2.479 * [taylor]: Taking taylor expansion of 1.0 in n 2.479 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.479 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.479 * [taylor]: Taking taylor expansion of -1 in n 2.479 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.479 * [taylor]: Taking taylor expansion of PI in n 2.479 * [taylor]: Taking taylor expansion of n in n 2.482 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 2.482 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 2.482 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 2.482 * [taylor]: Taking taylor expansion of 0.5 in n 2.482 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 2.482 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.482 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.482 * [taylor]: Taking taylor expansion of 1.0 in n 2.482 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.482 * [taylor]: Taking taylor expansion of 2.0 in n 2.487 * [taylor]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow (pow 2.0 1.0) 0.5)) in n 2.487 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 2.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 2.487 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.487 * [taylor]: Taking taylor expansion of 0.5 in n 2.488 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.488 * [taylor]: Taking taylor expansion of k in n 2.488 * [taylor]: Taking taylor expansion of 1.0 in n 2.488 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 2.488 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.488 * [taylor]: Taking taylor expansion of -1 in n 2.488 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.488 * [taylor]: Taking taylor expansion of PI in n 2.488 * [taylor]: Taking taylor expansion of n in n 2.497 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 2.497 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 2.497 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 2.497 * [taylor]: Taking taylor expansion of 0.5 in n 2.497 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 2.497 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.497 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.497 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.497 * [taylor]: Taking taylor expansion of 1.0 in n 2.497 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.497 * [taylor]: Taking taylor expansion of 2.0 in n 2.503 * [taylor]: Taking taylor expansion of (* (pow (pow 2.0 1.0) 0.5) (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))))) in k 2.503 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 2.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 2.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 2.503 * [taylor]: Taking taylor expansion of 0.5 in k 2.504 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 2.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.504 * [taylor]: Taking taylor expansion of 1.0 in k 2.504 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.504 * [taylor]: Taking taylor expansion of 2.0 in k 2.508 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 2.508 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 2.508 * [taylor]: Taking taylor expansion of 0.5 in k 2.509 * [taylor]: Taking taylor expansion of (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 2.509 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 2.509 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 2.509 * [taylor]: Taking taylor expansion of (* -1 PI) in k 2.509 * [taylor]: Taking taylor expansion of -1 in k 2.509 * [taylor]: Taking taylor expansion of PI in k 2.510 * [taylor]: Taking taylor expansion of (log n) in k 2.510 * [taylor]: Taking taylor expansion of n in k 2.510 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.510 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.510 * [taylor]: Taking taylor expansion of k in k 2.510 * [taylor]: Taking taylor expansion of 1.0 in k 2.526 * [taylor]: Taking taylor expansion of 0 in k 2.547 * [taylor]: Taking taylor expansion of 0 in k 2.582 * [taylor]: Taking taylor expansion of 0 in k 2.583 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.583 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 2.583 * [taylor]: Taking taylor expansion of (* n PI) in n 2.583 * [taylor]: Taking taylor expansion of n in n 2.583 * [taylor]: Taking taylor expansion of PI in n 2.583 * [taylor]: Taking taylor expansion of (* n PI) in n 2.583 * [taylor]: Taking taylor expansion of n in n 2.583 * [taylor]: Taking taylor expansion of PI in n 2.590 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 2.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.590 * [taylor]: Taking taylor expansion of PI in n 2.590 * [taylor]: Taking taylor expansion of n in n 2.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.590 * [taylor]: Taking taylor expansion of PI in n 2.590 * [taylor]: Taking taylor expansion of n in n 2.594 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 2.594 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.594 * [taylor]: Taking taylor expansion of -1 in n 2.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.594 * [taylor]: Taking taylor expansion of PI in n 2.594 * [taylor]: Taking taylor expansion of n in n 2.594 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 2.594 * [taylor]: Taking taylor expansion of -1 in n 2.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.594 * [taylor]: Taking taylor expansion of PI in n 2.594 * [taylor]: Taking taylor expansion of n in n 2.603 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.604 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in (n k) around 0 2.604 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in k 2.604 * [taylor]: Taking taylor expansion of 1.0 in k 2.604 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in k 2.604 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.604 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.604 * [taylor]: Taking taylor expansion of k in k 2.605 * [taylor]: Taking taylor expansion of (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in k 2.605 * [taylor]: Taking taylor expansion of (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) in k 2.605 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 2.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 2.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 2.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.605 * [taylor]: Taking taylor expansion of 0.5 in k 2.606 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.606 * [taylor]: Taking taylor expansion of 1.0 in k 2.606 * [taylor]: Taking taylor expansion of k in k 2.606 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 2.606 * [taylor]: Taking taylor expansion of (* n PI) in k 2.606 * [taylor]: Taking taylor expansion of n in k 2.606 * [taylor]: Taking taylor expansion of PI in k 2.607 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 k)) in k 2.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log 2.0))) in k 2.607 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log 2.0)) in k 2.607 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.607 * [taylor]: Taking taylor expansion of 0.5 in k 2.607 * [taylor]: Taking taylor expansion of k in k 2.607 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.607 * [taylor]: Taking taylor expansion of 2.0 in k 2.610 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 2.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 2.611 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 2.611 * [taylor]: Taking taylor expansion of 0.5 in k 2.611 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 2.611 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.611 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.611 * [taylor]: Taking taylor expansion of 1.0 in k 2.611 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.611 * [taylor]: Taking taylor expansion of 2.0 in k 2.616 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in n 2.616 * [taylor]: Taking taylor expansion of 1.0 in n 2.616 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in n 2.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.616 * [taylor]: Taking taylor expansion of k in n 2.616 * [taylor]: Taking taylor expansion of (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in n 2.616 * [taylor]: Taking taylor expansion of (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) in n 2.616 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.616 * [taylor]: Taking taylor expansion of 0.5 in n 2.616 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.616 * [taylor]: Taking taylor expansion of 1.0 in n 2.616 * [taylor]: Taking taylor expansion of k in n 2.616 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.616 * [taylor]: Taking taylor expansion of (* n PI) in n 2.616 * [taylor]: Taking taylor expansion of n in n 2.616 * [taylor]: Taking taylor expansion of PI in n 2.619 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 k)) in n 2.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log 2.0))) in n 2.619 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log 2.0)) in n 2.619 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.619 * [taylor]: Taking taylor expansion of 0.5 in n 2.619 * [taylor]: Taking taylor expansion of k in n 2.619 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.619 * [taylor]: Taking taylor expansion of 2.0 in n 2.621 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 2.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 2.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 2.621 * [taylor]: Taking taylor expansion of 0.5 in n 2.621 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 2.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.621 * [taylor]: Taking taylor expansion of 1.0 in n 2.621 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.621 * [taylor]: Taking taylor expansion of 2.0 in n 2.626 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in n 2.626 * [taylor]: Taking taylor expansion of 1.0 in n 2.626 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in n 2.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.626 * [taylor]: Taking taylor expansion of k in n 2.626 * [taylor]: Taking taylor expansion of (* (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in n 2.626 * [taylor]: Taking taylor expansion of (/ (pow (* n PI) (* 0.5 (- 1.0 k))) (pow 2.0 (* 0.5 k))) in n 2.626 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 2.626 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 2.626 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 2.626 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.626 * [taylor]: Taking taylor expansion of 0.5 in n 2.626 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.626 * [taylor]: Taking taylor expansion of 1.0 in n 2.626 * [taylor]: Taking taylor expansion of k in n 2.626 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 2.626 * [taylor]: Taking taylor expansion of (* n PI) in n 2.626 * [taylor]: Taking taylor expansion of n in n 2.626 * [taylor]: Taking taylor expansion of PI in n 2.629 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 k)) in n 2.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log 2.0))) in n 2.629 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log 2.0)) in n 2.629 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.629 * [taylor]: Taking taylor expansion of 0.5 in n 2.629 * [taylor]: Taking taylor expansion of k in n 2.629 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.629 * [taylor]: Taking taylor expansion of 2.0 in n 2.631 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 2.631 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 2.631 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 2.631 * [taylor]: Taking taylor expansion of 0.5 in n 2.631 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 2.631 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.631 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.631 * [taylor]: Taking taylor expansion of 1.0 in n 2.631 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.631 * [taylor]: Taking taylor expansion of 2.0 in n 2.640 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) (exp (* 0.5 (* k (log 2.0))))) (pow (pow 2.0 1.0) 0.5)))) in k 2.640 * [taylor]: Taking taylor expansion of 1.0 in k 2.640 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) (exp (* 0.5 (* k (log 2.0))))) (pow (pow 2.0 1.0) 0.5))) in k 2.640 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.640 * [taylor]: Taking taylor expansion of k in k 2.642 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) (exp (* 0.5 (* k (log 2.0))))) (pow (pow 2.0 1.0) 0.5)) in k 2.642 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) (exp (* 0.5 (* k (log 2.0))))) in k 2.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) in k 2.642 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log n) (log PI)))) in k 2.642 * [taylor]: Taking taylor expansion of 0.5 in k 2.642 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log n) (log PI))) in k 2.642 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.642 * [taylor]: Taking taylor expansion of 1.0 in k 2.642 * [taylor]: Taking taylor expansion of k in k 2.642 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 2.642 * [taylor]: Taking taylor expansion of (log n) in k 2.642 * [taylor]: Taking taylor expansion of n in k 2.642 * [taylor]: Taking taylor expansion of (log PI) in k 2.642 * [taylor]: Taking taylor expansion of PI in k 2.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (log 2.0)))) in k 2.644 * [taylor]: Taking taylor expansion of (* 0.5 (* k (log 2.0))) in k 2.644 * [taylor]: Taking taylor expansion of 0.5 in k 2.644 * [taylor]: Taking taylor expansion of (* k (log 2.0)) in k 2.644 * [taylor]: Taking taylor expansion of k in k 2.644 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.644 * [taylor]: Taking taylor expansion of 2.0 in k 2.648 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 2.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 2.648 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 2.648 * [taylor]: Taking taylor expansion of 0.5 in k 2.648 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 2.648 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.649 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.649 * [taylor]: Taking taylor expansion of 1.0 in k 2.649 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.649 * [taylor]: Taking taylor expansion of 2.0 in k 2.678 * [taylor]: Taking taylor expansion of 0 in k 2.724 * [taylor]: Taking taylor expansion of 0 in k 2.823 * [taylor]: Taking taylor expansion of 0 in k 3.017 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in (n k) around 0 3.017 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in k 3.017 * [taylor]: Taking taylor expansion of 1.0 in k 3.017 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in k 3.017 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.017 * [taylor]: Taking taylor expansion of k in k 3.018 * [taylor]: Taking taylor expansion of (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in k 3.018 * [taylor]: Taking taylor expansion of (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) in k 3.018 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.018 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 3.018 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 3.018 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.018 * [taylor]: Taking taylor expansion of 0.5 in k 3.018 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.018 * [taylor]: Taking taylor expansion of 1.0 in k 3.018 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.018 * [taylor]: Taking taylor expansion of k in k 3.018 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 3.018 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.018 * [taylor]: Taking taylor expansion of PI in k 3.018 * [taylor]: Taking taylor expansion of n in k 3.019 * [taylor]: Taking taylor expansion of (pow 2.0 (/ 0.5 k)) in k 3.019 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log 2.0))) in k 3.020 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log 2.0)) in k 3.020 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.020 * [taylor]: Taking taylor expansion of 0.5 in k 3.020 * [taylor]: Taking taylor expansion of k in k 3.020 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.020 * [taylor]: Taking taylor expansion of 2.0 in k 3.021 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.021 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.021 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.021 * [taylor]: Taking taylor expansion of 0.5 in k 3.022 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.022 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.022 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.022 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.022 * [taylor]: Taking taylor expansion of 1.0 in k 3.022 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.022 * [taylor]: Taking taylor expansion of 2.0 in k 3.026 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in n 3.027 * [taylor]: Taking taylor expansion of 1.0 in n 3.027 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in n 3.027 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.027 * [taylor]: Taking taylor expansion of k in n 3.027 * [taylor]: Taking taylor expansion of (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in n 3.027 * [taylor]: Taking taylor expansion of (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) in n 3.027 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.027 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 3.027 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 3.027 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.027 * [taylor]: Taking taylor expansion of 0.5 in n 3.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.027 * [taylor]: Taking taylor expansion of 1.0 in n 3.027 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.027 * [taylor]: Taking taylor expansion of k in n 3.027 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 3.027 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.027 * [taylor]: Taking taylor expansion of PI in n 3.027 * [taylor]: Taking taylor expansion of n in n 3.029 * [taylor]: Taking taylor expansion of (pow 2.0 (/ 0.5 k)) in n 3.029 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log 2.0))) in n 3.029 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log 2.0)) in n 3.029 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.029 * [taylor]: Taking taylor expansion of 0.5 in n 3.029 * [taylor]: Taking taylor expansion of k in n 3.029 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.029 * [taylor]: Taking taylor expansion of 2.0 in n 3.031 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 3.031 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 3.031 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 3.031 * [taylor]: Taking taylor expansion of 0.5 in n 3.031 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 3.031 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.031 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.031 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.031 * [taylor]: Taking taylor expansion of 1.0 in n 3.031 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.031 * [taylor]: Taking taylor expansion of 2.0 in n 3.036 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in n 3.036 * [taylor]: Taking taylor expansion of 1.0 in n 3.036 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in n 3.036 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.036 * [taylor]: Taking taylor expansion of k in n 3.036 * [taylor]: Taking taylor expansion of (* (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in n 3.036 * [taylor]: Taking taylor expansion of (/ (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (/ 0.5 k))) in n 3.036 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.036 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 3.036 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 3.036 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.036 * [taylor]: Taking taylor expansion of 0.5 in n 3.036 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.036 * [taylor]: Taking taylor expansion of 1.0 in n 3.036 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.036 * [taylor]: Taking taylor expansion of k in n 3.036 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 3.036 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.036 * [taylor]: Taking taylor expansion of PI in n 3.036 * [taylor]: Taking taylor expansion of n in n 3.038 * [taylor]: Taking taylor expansion of (pow 2.0 (/ 0.5 k)) in n 3.038 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log 2.0))) in n 3.038 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log 2.0)) in n 3.038 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.038 * [taylor]: Taking taylor expansion of 0.5 in n 3.038 * [taylor]: Taking taylor expansion of k in n 3.038 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.038 * [taylor]: Taking taylor expansion of 2.0 in n 3.040 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 3.040 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 3.040 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 3.040 * [taylor]: Taking taylor expansion of 0.5 in n 3.040 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 3.040 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.040 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.040 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.040 * [taylor]: Taking taylor expansion of 1.0 in n 3.040 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.040 * [taylor]: Taking taylor expansion of 2.0 in n 3.049 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)))) in k 3.049 * [taylor]: Taking taylor expansion of 1.0 in k 3.049 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5))) in k 3.049 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.049 * [taylor]: Taking taylor expansion of k in k 3.050 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)) in k 3.050 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (/ (log 2.0) k)))) in k 3.051 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 3.051 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 3.051 * [taylor]: Taking taylor expansion of 0.5 in k 3.051 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 3.051 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 3.051 * [taylor]: Taking taylor expansion of (log PI) in k 3.051 * [taylor]: Taking taylor expansion of PI in k 3.051 * [taylor]: Taking taylor expansion of (log n) in k 3.051 * [taylor]: Taking taylor expansion of n in k 3.051 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.051 * [taylor]: Taking taylor expansion of 1.0 in k 3.051 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.051 * [taylor]: Taking taylor expansion of k in k 3.053 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log 2.0) k))) in k 3.053 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log 2.0) k)) in k 3.053 * [taylor]: Taking taylor expansion of 0.5 in k 3.053 * [taylor]: Taking taylor expansion of (/ (log 2.0) k) in k 3.053 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.053 * [taylor]: Taking taylor expansion of 2.0 in k 3.053 * [taylor]: Taking taylor expansion of k in k 3.055 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.056 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.056 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.056 * [taylor]: Taking taylor expansion of 0.5 in k 3.056 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.056 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.056 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.056 * [taylor]: Taking taylor expansion of 1.0 in k 3.056 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.056 * [taylor]: Taking taylor expansion of 2.0 in k 3.079 * [taylor]: Taking taylor expansion of 0 in k 3.120 * [taylor]: Taking taylor expansion of 0 in k 3.168 * [taylor]: Taking taylor expansion of 0 in k 3.206 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5))) in (n k) around 0 3.206 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5))) in k 3.206 * [taylor]: Taking taylor expansion of 1.0 in k 3.206 * [taylor]: Taking taylor expansion of (* (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5)) in k 3.206 * [taylor]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) in k 3.206 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 3.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 3.206 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.206 * [taylor]: Taking taylor expansion of 0.5 in k 3.206 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.206 * [taylor]: Taking taylor expansion of k in k 3.206 * [taylor]: Taking taylor expansion of 1.0 in k 3.207 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 3.207 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 3.207 * [taylor]: Taking taylor expansion of -1 in k 3.207 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.207 * [taylor]: Taking taylor expansion of PI in k 3.207 * [taylor]: Taking taylor expansion of n in k 3.207 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k))) in k 3.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.207 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.207 * [taylor]: Taking taylor expansion of -1 in k 3.207 * [taylor]: Taking taylor expansion of k in k 3.209 * [taylor]: Taking taylor expansion of (pow 2.0 (/ -0.5 k)) in k 3.209 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log 2.0))) in k 3.209 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log 2.0)) in k 3.209 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.209 * [taylor]: Taking taylor expansion of -0.5 in k 3.209 * [taylor]: Taking taylor expansion of k in k 3.209 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.209 * [taylor]: Taking taylor expansion of 2.0 in k 3.212 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.212 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.212 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.212 * [taylor]: Taking taylor expansion of 0.5 in k 3.212 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.212 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.212 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.212 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.212 * [taylor]: Taking taylor expansion of 1.0 in k 3.212 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.212 * [taylor]: Taking taylor expansion of 2.0 in k 3.217 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5))) in n 3.217 * [taylor]: Taking taylor expansion of 1.0 in n 3.217 * [taylor]: Taking taylor expansion of (* (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5)) in n 3.217 * [taylor]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) in n 3.217 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.217 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 3.217 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 3.217 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.217 * [taylor]: Taking taylor expansion of 0.5 in n 3.217 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.217 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.217 * [taylor]: Taking taylor expansion of k in n 3.217 * [taylor]: Taking taylor expansion of 1.0 in n 3.217 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 3.217 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 3.217 * [taylor]: Taking taylor expansion of -1 in n 3.217 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.217 * [taylor]: Taking taylor expansion of PI in n 3.217 * [taylor]: Taking taylor expansion of n in n 3.221 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k))) in n 3.221 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.221 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.221 * [taylor]: Taking taylor expansion of -1 in n 3.221 * [taylor]: Taking taylor expansion of k in n 3.221 * [taylor]: Taking taylor expansion of (pow 2.0 (/ -0.5 k)) in n 3.221 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log 2.0))) in n 3.221 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log 2.0)) in n 3.221 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.221 * [taylor]: Taking taylor expansion of -0.5 in n 3.221 * [taylor]: Taking taylor expansion of k in n 3.221 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.221 * [taylor]: Taking taylor expansion of 2.0 in n 3.223 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 3.223 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 3.223 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 3.223 * [taylor]: Taking taylor expansion of 0.5 in n 3.223 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 3.223 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.223 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.223 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.223 * [taylor]: Taking taylor expansion of 1.0 in n 3.223 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.223 * [taylor]: Taking taylor expansion of 2.0 in n 3.228 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5))) in n 3.228 * [taylor]: Taking taylor expansion of 1.0 in n 3.228 * [taylor]: Taking taylor expansion of (* (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5)) in n 3.228 * [taylor]: Taking taylor expansion of (/ (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) in n 3.228 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 3.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 3.228 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.228 * [taylor]: Taking taylor expansion of 0.5 in n 3.228 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.228 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.228 * [taylor]: Taking taylor expansion of k in n 3.229 * [taylor]: Taking taylor expansion of 1.0 in n 3.229 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 3.229 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 3.229 * [taylor]: Taking taylor expansion of -1 in n 3.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.229 * [taylor]: Taking taylor expansion of PI in n 3.229 * [taylor]: Taking taylor expansion of n in n 3.232 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k))) in n 3.232 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.232 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.232 * [taylor]: Taking taylor expansion of -1 in n 3.232 * [taylor]: Taking taylor expansion of k in n 3.232 * [taylor]: Taking taylor expansion of (pow 2.0 (/ -0.5 k)) in n 3.233 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log 2.0))) in n 3.233 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log 2.0)) in n 3.233 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.233 * [taylor]: Taking taylor expansion of -0.5 in n 3.233 * [taylor]: Taking taylor expansion of k in n 3.233 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.233 * [taylor]: Taking taylor expansion of 2.0 in n 3.237 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 3.237 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 3.237 * [taylor]: Taking taylor expansion of 0.5 in n 3.237 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 3.237 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.237 * [taylor]: Taking taylor expansion of 1.0 in n 3.237 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.237 * [taylor]: Taking taylor expansion of 2.0 in n 3.245 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log 2.0) k))))) (pow (pow 2.0 1.0) 0.5))) in k 3.245 * [taylor]: Taking taylor expansion of 1.0 in k 3.245 * [taylor]: Taking taylor expansion of (* (/ (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log 2.0) k))))) (pow (pow 2.0 1.0) 0.5)) in k 3.245 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log 2.0) k))))) in k 3.245 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 3.245 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 3.245 * [taylor]: Taking taylor expansion of 0.5 in k 3.245 * [taylor]: Taking taylor expansion of (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 3.245 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 3.245 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 3.245 * [taylor]: Taking taylor expansion of (* -1 PI) in k 3.245 * [taylor]: Taking taylor expansion of -1 in k 3.245 * [taylor]: Taking taylor expansion of PI in k 3.246 * [taylor]: Taking taylor expansion of (log n) in k 3.246 * [taylor]: Taking taylor expansion of n in k 3.246 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.246 * [taylor]: Taking taylor expansion of k in k 3.247 * [taylor]: Taking taylor expansion of 1.0 in k 3.250 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (log 2.0) k)))) in k 3.250 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.250 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.250 * [taylor]: Taking taylor expansion of -1 in k 3.250 * [taylor]: Taking taylor expansion of k in k 3.251 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log 2.0) k))) in k 3.251 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log 2.0) k)) in k 3.251 * [taylor]: Taking taylor expansion of -0.5 in k 3.251 * [taylor]: Taking taylor expansion of (/ (log 2.0) k) in k 3.251 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.251 * [taylor]: Taking taylor expansion of 2.0 in k 3.252 * [taylor]: Taking taylor expansion of k in k 3.255 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 3.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 3.255 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 3.255 * [taylor]: Taking taylor expansion of 0.5 in k 3.255 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 3.255 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.255 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.255 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.255 * [taylor]: Taking taylor expansion of 1.0 in k 3.255 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.255 * [taylor]: Taking taylor expansion of 2.0 in k 3.291 * [taylor]: Taking taylor expansion of 0 in k 3.333 * [taylor]: Taking taylor expansion of 0 in k 3.374 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.374 * [approximate]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in (n k) around 0 3.374 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 3.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 3.374 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 3.374 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.374 * [taylor]: Taking taylor expansion of 0.5 in k 3.374 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.374 * [taylor]: Taking taylor expansion of 1.0 in k 3.374 * [taylor]: Taking taylor expansion of k in k 3.374 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 3.374 * [taylor]: Taking taylor expansion of (* n PI) in k 3.374 * [taylor]: Taking taylor expansion of n in k 3.374 * [taylor]: Taking taylor expansion of PI in k 3.375 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 3.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 3.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 3.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.375 * [taylor]: Taking taylor expansion of 0.5 in n 3.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.375 * [taylor]: Taking taylor expansion of 1.0 in n 3.375 * [taylor]: Taking taylor expansion of k in n 3.375 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 3.375 * [taylor]: Taking taylor expansion of (* n PI) in n 3.375 * [taylor]: Taking taylor expansion of n in n 3.375 * [taylor]: Taking taylor expansion of PI in n 3.378 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 3.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 3.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 3.378 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.378 * [taylor]: Taking taylor expansion of 0.5 in n 3.378 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.378 * [taylor]: Taking taylor expansion of 1.0 in n 3.378 * [taylor]: Taking taylor expansion of k in n 3.378 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 3.378 * [taylor]: Taking taylor expansion of (* n PI) in n 3.378 * [taylor]: Taking taylor expansion of n in n 3.378 * [taylor]: Taking taylor expansion of PI in n 3.381 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log n) (log PI))))) in k 3.381 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log n) (log PI)))) in k 3.381 * [taylor]: Taking taylor expansion of 0.5 in k 3.381 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log n) (log PI))) in k 3.381 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.381 * [taylor]: Taking taylor expansion of 1.0 in k 3.381 * [taylor]: Taking taylor expansion of k in k 3.381 * [taylor]: Taking taylor expansion of (+ (log n) (log PI)) in k 3.381 * [taylor]: Taking taylor expansion of (log n) in k 3.381 * [taylor]: Taking taylor expansion of n in k 3.381 * [taylor]: Taking taylor expansion of (log PI) in k 3.381 * [taylor]: Taking taylor expansion of PI in k 3.387 * [taylor]: Taking taylor expansion of 0 in k 3.398 * [taylor]: Taking taylor expansion of 0 in k 3.410 * [approximate]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.410 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 3.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 3.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.410 * [taylor]: Taking taylor expansion of 0.5 in k 3.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.410 * [taylor]: Taking taylor expansion of 1.0 in k 3.410 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.410 * [taylor]: Taking taylor expansion of k in k 3.411 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 3.411 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.411 * [taylor]: Taking taylor expansion of PI in k 3.411 * [taylor]: Taking taylor expansion of n in k 3.411 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 3.412 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 3.412 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.412 * [taylor]: Taking taylor expansion of 0.5 in n 3.412 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.412 * [taylor]: Taking taylor expansion of 1.0 in n 3.412 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.412 * [taylor]: Taking taylor expansion of k in n 3.412 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 3.412 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.412 * [taylor]: Taking taylor expansion of PI in n 3.412 * [taylor]: Taking taylor expansion of n in n 3.414 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.414 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 3.414 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 3.414 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.414 * [taylor]: Taking taylor expansion of 0.5 in n 3.414 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.414 * [taylor]: Taking taylor expansion of 1.0 in n 3.414 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.414 * [taylor]: Taking taylor expansion of k in n 3.414 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 3.414 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.414 * [taylor]: Taking taylor expansion of PI in n 3.414 * [taylor]: Taking taylor expansion of n in n 3.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k))))) in k 3.416 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log PI) (log n)) (- 1.0 (/ 1 k)))) in k 3.416 * [taylor]: Taking taylor expansion of 0.5 in k 3.416 * [taylor]: Taking taylor expansion of (* (- (log PI) (log n)) (- 1.0 (/ 1 k))) in k 3.416 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 3.416 * [taylor]: Taking taylor expansion of (log PI) in k 3.416 * [taylor]: Taking taylor expansion of PI in k 3.416 * [taylor]: Taking taylor expansion of (log n) in k 3.416 * [taylor]: Taking taylor expansion of n in k 3.416 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.416 * [taylor]: Taking taylor expansion of 1.0 in k 3.416 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.416 * [taylor]: Taking taylor expansion of k in k 3.423 * [taylor]: Taking taylor expansion of 0 in k 3.428 * [taylor]: Taking taylor expansion of 0 in k 3.435 * [taylor]: Taking taylor expansion of 0 in k 3.436 * [approximate]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.436 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 3.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 3.436 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.436 * [taylor]: Taking taylor expansion of 0.5 in k 3.436 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.436 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.436 * [taylor]: Taking taylor expansion of k in k 3.436 * [taylor]: Taking taylor expansion of 1.0 in k 3.436 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 3.436 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 3.436 * [taylor]: Taking taylor expansion of -1 in k 3.436 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.436 * [taylor]: Taking taylor expansion of PI in k 3.436 * [taylor]: Taking taylor expansion of n in k 3.437 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 3.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 3.437 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.437 * [taylor]: Taking taylor expansion of 0.5 in n 3.437 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.437 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.437 * [taylor]: Taking taylor expansion of k in n 3.437 * [taylor]: Taking taylor expansion of 1.0 in n 3.437 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 3.437 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 3.437 * [taylor]: Taking taylor expansion of -1 in n 3.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.437 * [taylor]: Taking taylor expansion of PI in n 3.437 * [taylor]: Taking taylor expansion of n in n 3.441 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.441 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 3.441 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 3.441 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.441 * [taylor]: Taking taylor expansion of 0.5 in n 3.441 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.441 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.441 * [taylor]: Taking taylor expansion of k in n 3.441 * [taylor]: Taking taylor expansion of 1.0 in n 3.441 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 3.441 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 3.441 * [taylor]: Taking taylor expansion of -1 in n 3.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.441 * [taylor]: Taking taylor expansion of PI in n 3.441 * [taylor]: Taking taylor expansion of n in n 3.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 3.451 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 3.451 * [taylor]: Taking taylor expansion of 0.5 in k 3.451 * [taylor]: Taking taylor expansion of (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 3.451 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 3.451 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 3.451 * [taylor]: Taking taylor expansion of (* -1 PI) in k 3.451 * [taylor]: Taking taylor expansion of -1 in k 3.451 * [taylor]: Taking taylor expansion of PI in k 3.452 * [taylor]: Taking taylor expansion of (log n) in k 3.452 * [taylor]: Taking taylor expansion of n in k 3.452 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.452 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.452 * [taylor]: Taking taylor expansion of k in k 3.453 * [taylor]: Taking taylor expansion of 1.0 in k 3.462 * [taylor]: Taking taylor expansion of 0 in k 3.468 * [taylor]: Taking taylor expansion of 0 in k 3.477 * [taylor]: Taking taylor expansion of 0 in k 3.478 * * * [progress]: simplifying candidates 3.480 * [simplify]: Simplifying using # : (* (pow (* PI n) (- 1.0 k)) (pow 2.0 1.0)) (+ (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (* (log 2.0) (/ 1.0 2.0))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (* (pow (* PI n) (/ 1.0 2.0)) (pow 2.0 (/ 1.0 2.0))) (- (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0)))) (- (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ 1.0 2.0)) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) (/ (pow 2.0 (/ 1.0 2.0)) (/ (sqrt k) 1.0)) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (pow 2.0 (/ k 2.0))) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (sqrt k)) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (pow 2.0 (/ k 2.0))) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (pow 2.0 (/ (/ 1.0 2.0) 2)) (pow 2.0 (/ k 2.0))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (pow 2.0 (/ (/ 1.0 2.0) 2)) (pow 2.0 (/ (/ k 2.0) 2))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (sqrt k)) (/ (pow 2.0 (/ (/ 1.0 2.0) 2)) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (pow 2.0 (/ k 2.0))) (/ (pow 2.0 (/ (/ 1.0 2.0) 2)) (/ (sqrt k) 1.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) (/ (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (pow PI (/ (- 1.0 k) 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) (/ (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (pow n (/ (- 1.0 k) 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt k) 1.0)) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ k 2.0))) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (pow 2.0 (/ 1.0 2.0)) (/ (sqrt k) 1.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) (/ (pow 2.0 (/ 1.0 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt k)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) (/ 1 (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (sqrt k)) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow 2.0 (/ 1.0 2.0))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (sqrt k) (pow 2.0 (/ k 2.0)))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* 1 (pow 2.0 (/ k 2.0)))) (* (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ k 2.0))) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0)) (pow (* PI n) (- 1.0 k)) (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* 0.125 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (log n) 2))) (pow (pow 2.0 1.0) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (log PI) 2))) (pow (pow 2.0 1.0) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (* (log n) (log PI)))) (pow (pow 2.0 1.0) 0.5))) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (pow 2.0 1.0) 0.5))))) (+ (* 0.5 (* (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log n))) (pow (pow 2.0 1.0) 0.5))) (* 0.5 (* (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log PI))) (pow (pow 2.0 1.0) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (pow (pow 2.0 1.0) 0.5)) (* (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) (pow (pow 2.0 1.0) 0.5)) (* n PI) (* n PI) (* n PI) (- (+ (* +nan.0 (* (* k (exp (* 0.5 (+ (log n) (log PI))))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (log n))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (* (log n) (log 2.0)))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (* (log n) (log PI)))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (log 2.0))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (* (log 2.0) (log PI)))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log n))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log PI))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (log PI))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (exp (* 0.5 (+ (log n) (log PI))))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (log n) 2))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log 2.0))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (log 2.0) 2))) (pow (pow 2.0 1.0) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (log PI) 2))) (pow (pow 2.0 1.0) 0.5)))))))))))))))))))))))))))))))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (* k (exp (* 0.5 (* (log 2.0) k))))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (* (pow k 3) (exp (* 0.5 (* (log 2.0) k))))) (pow (pow 2.0 1.0) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (* (pow k 2) (exp (* 0.5 (* (log 2.0) k))))) (pow (pow 2.0 1.0) 0.5)))))))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) (* (pow k 2) (exp (* 0.5 (* (log 2.0) k))))) (pow (pow 2.0 1.0) 0.5))) (- (+ (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) (exp (* 0.5 (* (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5))) (- (* +nan.0 (* (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) (* k (exp (* 0.5 (* (log 2.0) k))))) (pow (pow 2.0 1.0) 0.5)))))))) (- (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (log PI) 2)))) (+ (exp (* 0.5 (+ (log n) (log PI)))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (pow (log n) 2)))) (* 0.25 (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (* (log n) (log PI)))))))) (+ (* 0.5 (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log PI)))) (* 0.5 (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) 3.490 * * [simplify]: iteration 0 : 901 enodes (cost 1320 ) 3.505 * * [simplify]: iteration 1 : 4000 enodes (cost 1269 ) 3.577 * * [simplify]: iteration 2 : 5001 enodes (cost 1203 ) 3.583 * [simplify]: Simplified to: (* (pow (* PI n) (- 1.0 k)) (pow 2.0 1.0)) (fma (log (* PI n)) (/ (- 1.0 k) 2.0) (* (log 2.0) (/ 1.0 2.0))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (* (pow (* PI n) (/ 1.0 2.0)) (pow 2.0 (/ 1.0 2.0))) (- (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0)))) (- (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) 1.0) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) (/ (pow 2.0 (/ 1.0 2.0)) (/ (sqrt k) 1.0)) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 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1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (/ (pow 2.0 (/ k 2.0)) 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt k) 1.0)) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (pow 2.0 (/ k 2.0)) 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ k 2.0))) (/ (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (pow 2.0 (/ 1.0 2.0)) (/ (sqrt k) 1.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) (/ (pow 2.0 (/ 1.0 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt k)) (* (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) 1.0) (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) (/ 1 (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (sqrt k)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (/ (pow 2.0 (/ k 2.0)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow 2.0 (/ 1.0 2.0))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ (/ 1.0 2.0) 2)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (sqrt k) (pow 2.0 (/ k 2.0)))) (/ (* (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (/ (pow 2.0 (/ k 2.0)) (pow 2.0 (/ 1.0 2.0)))) (* (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow (* PI n) (/ k 2.0))) (* (log (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0)) (pow (* PI n) (- 1.0 k)) (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* PI n) (/ (/ (- 1.0 k) 2.0) 2)) (fma (- 0.5) (* (pow (pow 2.0 1.0) 0.5) (+ (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log n))) (* k (* (exp (* 0.5 (+ (log n) (log PI)))) (log PI))))) (fma (* 0.125 (pow k 2)) (* (pow (* PI n) 0.5) (* (pow (log n) 2) (pow (pow 2.0 1.0) 0.5))) (fma (* 0.125 (pow k 2)) (* (pow (* PI n) 0.5) (* (pow (log PI) 2) (pow (pow 2.0 1.0) 0.5))) (* (pow (pow 2.0 1.0) 0.5) (+ (* 0.25 (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (* (log n) (log PI))))) (pow (* PI n) 0.5)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (pow (pow 2.0 1.0) 0.5)) (* (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) (pow (pow 2.0 1.0) 0.5)) (* PI n) (* PI n) (* PI n) (fma (- +nan.0) (* (* k (pow (pow 2.0 1.0) 0.5)) (pow (* PI n) 0.5)) (fma (* +nan.0 (pow k 2)) (* (pow (* PI n) 0.5) (* (log n) (pow (pow 2.0 1.0) 0.5))) (fma (- +nan.0) (* (* (* (pow (* PI n) 0.5) k) k) (* (* (log n) (log 2.0)) (pow (pow 2.0 1.0) 0.5))) (fma (* +nan.0 (pow k 2)) (* (pow (* PI n) 0.5) (* (* (log n) (log PI)) (pow (pow 2.0 1.0) 0.5))) (fma (- +nan.0) (* k (* (* (* k (pow (pow 2.0 1.0) 0.5)) (pow (* PI n) 0.5)) (log 2.0))) (fma (* +nan.0 (pow k 2)) (* (pow (* PI n) 0.5) (* (* (log 2.0) (log PI)) (pow (pow 2.0 1.0) 0.5))) (fma (* (pow (* PI n) 0.5) +nan.0) (- (pow (pow 2.0 1.0) 0.5)) (fma (* +nan.0 k) (* (pow (* PI n) 0.5) (* (log n) (pow (pow 2.0 1.0) 0.5))) (fma (- +nan.0) (* (* (pow (* PI n) 0.5) (* (log PI) (pow (pow 2.0 1.0) 0.5))) k) (fma (* +nan.0 (pow k 2)) (* (pow (* PI n) 0.5) (* (log PI) (pow (pow 2.0 1.0) 0.5))) (fma (- +nan.0) (* (* (pow k 2) (pow (pow 2.0 1.0) 0.5)) (pow (* PI n) 0.5)) (fma (* +nan.0 (pow k 2)) (* (pow (* PI n) 0.5) (* (pow (log n) 2) (pow (pow 2.0 1.0) 0.5))) (fma (- +nan.0) (* (* (* k (pow (pow 2.0 1.0) 0.5)) (pow (* PI n) 0.5)) (log 2.0)) (fma (* +nan.0 (pow k 2)) (* (pow (* PI n) 0.5) (* (pow (log 2.0) 2) (pow (pow 2.0 1.0) 0.5))) (* (* (- +nan.0) (* (* (pow k 2) (pow (log PI) 2)) (pow (* PI n) 0.5))) (pow (pow 2.0 1.0) 0.5)))))))))))))))) (fma (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (* k (exp (* 0.5 (* (log 2.0) k))))))) (pow (pow 2.0 1.0) 0.5) (* (pow (pow 2.0 1.0) 0.5) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (* (pow k 3) (exp (* 0.5 (* (log 2.0) k)))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (* (pow k 2) (exp (* 0.5 (* (log 2.0) k))))))))) (fma (- +nan.0) (* (/ (pow (pow 2.0 1.0) 0.5) (pow k 2)) (exp (- (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n))))) (* 0.5 (* (log 2.0) k))))) (* (pow (pow 2.0 1.0) 0.5) (- (* +nan.0 (exp (- (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n))))) (* 0.5 (* (log 2.0) k))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) (* k (exp (* 0.5 (* (log 2.0) k))))))))) (fma (- 0.5) (* (* k (exp (* 0.5 (+ (log n) (log PI))))) (log (* PI n))) (fma (* (* 0.125 (pow k 2)) (pow (log PI) 2)) (pow (* PI n) 0.5) (fma 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* PI n) 0.5)) (+ (* 0.25 (* (pow k 2) (* (exp (* 0.5 (+ (log n) (log PI)))) (* (log n) (log PI))))) (pow (* PI n) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -1 PI)) (log (/ -1 n)))))) 3.584 * * * [progress]: adding candidates to table 3.923 * * [progress]: iteration 4 / 4 3.923 * * * [progress]: picking best candidate 3.943 * * * * [pick]: Picked # 3.943 * * * [progress]: localizing error 3.968 * * * [progress]: generating rewritten candidates 3.968 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 3.971 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.982 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 4.005 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 4.017 * * * [progress]: generating series expansions 4.017 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.017 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 4.017 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.017 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.017 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.017 * [taylor]: Taking taylor expansion of 0.5 in k 4.017 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.017 * [taylor]: Taking taylor expansion of 1.0 in k 4.017 * [taylor]: Taking taylor expansion of k in k 4.017 * [taylor]: Taking taylor expansion of (log PI) in k 4.017 * [taylor]: Taking taylor expansion of PI in k 4.021 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.021 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.021 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.021 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.021 * [taylor]: Taking taylor expansion of 0.5 in k 4.021 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.021 * [taylor]: Taking taylor expansion of 1.0 in k 4.021 * [taylor]: Taking taylor expansion of k in k 4.021 * [taylor]: Taking taylor expansion of (log PI) in k 4.021 * [taylor]: Taking taylor expansion of PI in k 4.053 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.053 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.053 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.053 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.053 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.053 * [taylor]: Taking taylor expansion of 0.5 in k 4.053 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.053 * [taylor]: Taking taylor expansion of 1.0 in k 4.053 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.053 * [taylor]: Taking taylor expansion of k in k 4.054 * [taylor]: Taking taylor expansion of (log PI) in k 4.054 * [taylor]: Taking taylor expansion of PI in k 4.056 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.056 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.056 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.056 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.056 * [taylor]: Taking taylor expansion of 0.5 in k 4.056 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.056 * [taylor]: Taking taylor expansion of 1.0 in k 4.056 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.056 * [taylor]: Taking taylor expansion of k in k 4.056 * [taylor]: Taking taylor expansion of (log PI) in k 4.056 * [taylor]: Taking taylor expansion of PI in k 4.059 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.059 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.059 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.059 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.059 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.059 * [taylor]: Taking taylor expansion of 0.5 in k 4.059 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.059 * [taylor]: Taking taylor expansion of k in k 4.059 * [taylor]: Taking taylor expansion of 1.0 in k 4.059 * [taylor]: Taking taylor expansion of (log PI) in k 4.059 * [taylor]: Taking taylor expansion of PI in k 4.061 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.061 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.061 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.061 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.061 * [taylor]: Taking taylor expansion of 0.5 in k 4.061 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.061 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.061 * [taylor]: Taking taylor expansion of k in k 4.061 * [taylor]: Taking taylor expansion of 1.0 in k 4.061 * [taylor]: Taking taylor expansion of (log PI) in k 4.061 * [taylor]: Taking taylor expansion of PI in k 4.064 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.065 * [approximate]: Taking taylor expansion of (* (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow (pow 2.0 1.0) 0.5)) in (k n) around 0 4.065 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow (pow 2.0 1.0) 0.5)) in n 4.065 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.065 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 4.065 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 4.065 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 4.065 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.065 * [taylor]: Taking taylor expansion of 0.5 in n 4.065 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.065 * [taylor]: Taking taylor expansion of 1.0 in n 4.065 * [taylor]: Taking taylor expansion of k in n 4.065 * [taylor]: Taking taylor expansion of (log PI) in n 4.065 * [taylor]: Taking taylor expansion of PI in n 4.066 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.066 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.066 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.067 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.067 * [taylor]: Taking taylor expansion of 0.5 in n 4.067 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.067 * [taylor]: Taking taylor expansion of 1.0 in n 4.067 * [taylor]: Taking taylor expansion of k in n 4.067 * [taylor]: Taking taylor expansion of (log n) in n 4.067 * [taylor]: Taking taylor expansion of n in n 4.067 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 4.067 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 4.067 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 4.067 * [taylor]: Taking taylor expansion of 0.5 in n 4.067 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 4.067 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.067 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.067 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.067 * [taylor]: Taking taylor expansion of 1.0 in n 4.067 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.067 * [taylor]: Taking taylor expansion of 2.0 in n 4.072 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow (pow 2.0 1.0) 0.5)) in k 4.072 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.072 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.073 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.073 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.073 * [taylor]: Taking taylor expansion of 0.5 in k 4.073 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.073 * [taylor]: Taking taylor expansion of 1.0 in k 4.073 * [taylor]: Taking taylor expansion of k in k 4.073 * [taylor]: Taking taylor expansion of (log PI) in k 4.073 * [taylor]: Taking taylor expansion of PI in k 4.075 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.075 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.075 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.075 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.075 * [taylor]: Taking taylor expansion of 0.5 in k 4.075 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.075 * [taylor]: Taking taylor expansion of 1.0 in k 4.075 * [taylor]: Taking taylor expansion of k in k 4.075 * [taylor]: Taking taylor expansion of (log n) in k 4.075 * [taylor]: Taking taylor expansion of n in k 4.076 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 4.076 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 4.076 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 4.076 * [taylor]: Taking taylor expansion of 0.5 in k 4.076 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 4.076 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.076 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.076 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.076 * [taylor]: Taking taylor expansion of 1.0 in k 4.076 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.076 * [taylor]: Taking taylor expansion of 2.0 in k 4.088 * [taylor]: Taking taylor expansion of (* (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow (pow 2.0 1.0) 0.5)) in k 4.088 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.088 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.088 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.088 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.088 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.088 * [taylor]: Taking taylor expansion of 0.5 in k 4.088 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.089 * [taylor]: Taking taylor expansion of 1.0 in k 4.089 * [taylor]: Taking taylor expansion of k in k 4.089 * [taylor]: Taking taylor expansion of (log PI) in k 4.089 * [taylor]: Taking taylor expansion of PI in k 4.091 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.091 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.091 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.091 * [taylor]: Taking taylor expansion of 0.5 in k 4.091 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.091 * [taylor]: Taking taylor expansion of 1.0 in k 4.091 * [taylor]: Taking taylor expansion of k in k 4.091 * [taylor]: Taking taylor expansion of (log n) in k 4.091 * [taylor]: Taking taylor expansion of n in k 4.092 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 4.092 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 4.092 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 4.092 * [taylor]: Taking taylor expansion of 0.5 in k 4.092 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 4.092 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.092 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.092 * [taylor]: Taking taylor expansion of 1.0 in k 4.092 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.092 * [taylor]: Taking taylor expansion of 2.0 in k 4.099 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.099 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.099 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.099 * [taylor]: Taking taylor expansion of 0.5 in n 4.099 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.099 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.099 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.099 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.099 * [taylor]: Taking taylor expansion of 1.0 in n 4.099 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.099 * [taylor]: Taking taylor expansion of 2.0 in n 4.101 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.101 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.101 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.101 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.101 * [taylor]: Taking taylor expansion of 1.0 in n 4.101 * [taylor]: Taking taylor expansion of (log n) in n 4.101 * [taylor]: Taking taylor expansion of n in n 4.102 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.102 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.102 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.102 * [taylor]: Taking taylor expansion of 1.0 in n 4.102 * [taylor]: Taking taylor expansion of (log PI) in n 4.102 * [taylor]: Taking taylor expansion of PI in n 4.130 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))))) in n 4.130 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)))) in n 4.130 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 4.130 * [taylor]: Taking taylor expansion of 0.5 in n 4.130 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 4.130 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.130 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.130 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.130 * [taylor]: Taking taylor expansion of 0.5 in n 4.130 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.130 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.130 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.130 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.130 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.130 * [taylor]: Taking taylor expansion of 1.0 in n 4.130 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.130 * [taylor]: Taking taylor expansion of 2.0 in n 4.132 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.132 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.132 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.132 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.132 * [taylor]: Taking taylor expansion of 1.0 in n 4.132 * [taylor]: Taking taylor expansion of (log n) in n 4.132 * [taylor]: Taking taylor expansion of n in n 4.132 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.132 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.132 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.132 * [taylor]: Taking taylor expansion of 1.0 in n 4.132 * [taylor]: Taking taylor expansion of (log PI) in n 4.133 * [taylor]: Taking taylor expansion of PI in n 4.138 * [taylor]: Taking taylor expansion of (log PI) in n 4.138 * [taylor]: Taking taylor expansion of PI in n 4.138 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) in n 4.138 * [taylor]: Taking taylor expansion of 0.5 in n 4.138 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n)) in n 4.138 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.138 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.138 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.138 * [taylor]: Taking taylor expansion of 0.5 in n 4.138 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.138 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.138 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.138 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.138 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.138 * [taylor]: Taking taylor expansion of 1.0 in n 4.138 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.138 * [taylor]: Taking taylor expansion of 2.0 in n 4.140 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.140 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.140 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.140 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.140 * [taylor]: Taking taylor expansion of 1.0 in n 4.140 * [taylor]: Taking taylor expansion of (log n) in n 4.140 * [taylor]: Taking taylor expansion of n in n 4.141 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.141 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.141 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.141 * [taylor]: Taking taylor expansion of 1.0 in n 4.141 * [taylor]: Taking taylor expansion of (log PI) in n 4.141 * [taylor]: Taking taylor expansion of PI in n 4.146 * [taylor]: Taking taylor expansion of (log n) in n 4.146 * [taylor]: Taking taylor expansion of n in n 4.205 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 4.205 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 4.205 * [taylor]: Taking taylor expansion of 0.25 in n 4.205 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 4.205 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.205 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.205 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.205 * [taylor]: Taking taylor expansion of 0.5 in n 4.205 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.205 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.205 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.205 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.205 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.205 * [taylor]: Taking taylor expansion of 1.0 in n 4.205 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.205 * [taylor]: Taking taylor expansion of 2.0 in n 4.207 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.207 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.207 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.207 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.207 * [taylor]: Taking taylor expansion of 1.0 in n 4.207 * [taylor]: Taking taylor expansion of (log PI) in n 4.207 * [taylor]: Taking taylor expansion of PI in n 4.209 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.209 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.209 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.209 * [taylor]: Taking taylor expansion of 1.0 in n 4.209 * [taylor]: Taking taylor expansion of (log n) in n 4.209 * [taylor]: Taking taylor expansion of n in n 4.213 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 4.213 * [taylor]: Taking taylor expansion of (log n) in n 4.213 * [taylor]: Taking taylor expansion of n in n 4.214 * [taylor]: Taking taylor expansion of (log PI) in n 4.214 * [taylor]: Taking taylor expansion of PI in n 4.214 * [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 PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 4.214 * [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 PI) 2))) in n 4.214 * [taylor]: Taking taylor expansion of 0.125 in n 4.214 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 4.214 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.214 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.214 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.214 * [taylor]: Taking taylor expansion of 0.5 in n 4.214 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.214 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.214 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.214 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.214 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.214 * [taylor]: Taking taylor expansion of 1.0 in n 4.214 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.214 * [taylor]: Taking taylor expansion of 2.0 in n 4.216 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.216 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.216 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.216 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.216 * [taylor]: Taking taylor expansion of 1.0 in n 4.216 * [taylor]: Taking taylor expansion of (log n) in n 4.216 * [taylor]: Taking taylor expansion of n in n 4.217 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.217 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.217 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.217 * [taylor]: Taking taylor expansion of 1.0 in n 4.217 * [taylor]: Taking taylor expansion of (log PI) in n 4.217 * [taylor]: Taking taylor expansion of PI in n 4.222 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 4.222 * [taylor]: Taking taylor expansion of (log PI) in n 4.222 * [taylor]: Taking taylor expansion of PI in n 4.223 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 4.223 * [taylor]: Taking taylor expansion of 0.125 in n 4.223 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 4.223 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.223 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.223 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.223 * [taylor]: Taking taylor expansion of 0.5 in n 4.223 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.223 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.223 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.223 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.223 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.223 * [taylor]: Taking taylor expansion of 1.0 in n 4.223 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.223 * [taylor]: Taking taylor expansion of 2.0 in n 4.225 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.225 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.225 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.225 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.225 * [taylor]: Taking taylor expansion of 1.0 in n 4.225 * [taylor]: Taking taylor expansion of (log PI) in n 4.225 * [taylor]: Taking taylor expansion of PI in n 4.227 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.227 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.227 * [taylor]: Taking taylor expansion of 1.0 in n 4.227 * [taylor]: Taking taylor expansion of (log n) in n 4.227 * [taylor]: Taking taylor expansion of n in n 4.231 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.231 * [taylor]: Taking taylor expansion of (log n) in n 4.231 * [taylor]: Taking taylor expansion of n in n 4.258 * [approximate]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow (pow 2.0 1.0) 0.5)) in (k n) around 0 4.258 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow (pow 2.0 1.0) 0.5)) in n 4.258 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 4.258 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.258 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.258 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.258 * [taylor]: Taking taylor expansion of 0.5 in n 4.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.258 * [taylor]: Taking taylor expansion of 1.0 in n 4.258 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.258 * [taylor]: Taking taylor expansion of k in n 4.258 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.258 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.258 * [taylor]: Taking taylor expansion of n in n 4.259 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 4.259 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 4.259 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 4.259 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.259 * [taylor]: Taking taylor expansion of 0.5 in n 4.259 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.259 * [taylor]: Taking taylor expansion of 1.0 in n 4.259 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.260 * [taylor]: Taking taylor expansion of k in n 4.260 * [taylor]: Taking taylor expansion of (log PI) in n 4.260 * [taylor]: Taking taylor expansion of PI in n 4.261 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 4.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 4.261 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 4.261 * [taylor]: Taking taylor expansion of 0.5 in n 4.261 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 4.261 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.261 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.261 * [taylor]: Taking taylor expansion of 1.0 in n 4.261 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.261 * [taylor]: Taking taylor expansion of 2.0 in n 4.272 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow (pow 2.0 1.0) 0.5)) in k 4.272 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.272 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.272 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.272 * [taylor]: Taking taylor expansion of 0.5 in k 4.272 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.272 * [taylor]: Taking taylor expansion of 1.0 in k 4.272 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.272 * [taylor]: Taking taylor expansion of k in k 4.272 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.272 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.272 * [taylor]: Taking taylor expansion of n in k 4.273 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.273 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.273 * [taylor]: Taking taylor expansion of 0.5 in k 4.273 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.273 * [taylor]: Taking taylor expansion of 1.0 in k 4.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.273 * [taylor]: Taking taylor expansion of k in k 4.274 * [taylor]: Taking taylor expansion of (log PI) in k 4.274 * [taylor]: Taking taylor expansion of PI in k 4.275 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 4.276 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 4.276 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 4.276 * [taylor]: Taking taylor expansion of 0.5 in k 4.276 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 4.276 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.276 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.276 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.276 * [taylor]: Taking taylor expansion of 1.0 in k 4.276 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.276 * [taylor]: Taking taylor expansion of 2.0 in k 4.281 * [taylor]: Taking taylor expansion of (* (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow (pow 2.0 1.0) 0.5)) in k 4.281 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.281 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.281 * [taylor]: Taking taylor expansion of 0.5 in k 4.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.281 * [taylor]: Taking taylor expansion of 1.0 in k 4.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.281 * [taylor]: Taking taylor expansion of k in k 4.281 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.281 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.281 * [taylor]: Taking taylor expansion of n in k 4.282 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.282 * [taylor]: Taking taylor expansion of 0.5 in k 4.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.282 * [taylor]: Taking taylor expansion of 1.0 in k 4.282 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.282 * [taylor]: Taking taylor expansion of k in k 4.282 * [taylor]: Taking taylor expansion of (log PI) in k 4.283 * [taylor]: Taking taylor expansion of PI in k 4.284 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 4.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 4.284 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 4.284 * [taylor]: Taking taylor expansion of 0.5 in k 4.284 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 4.284 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.285 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.285 * [taylor]: Taking taylor expansion of 1.0 in k 4.285 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.285 * [taylor]: Taking taylor expansion of 2.0 in k 4.291 * [taylor]: Taking taylor expansion of (* (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (pow (pow 2.0 1.0) 0.5)) in n 4.292 * [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 4.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.292 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.292 * [taylor]: Taking taylor expansion of 0.5 in n 4.292 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.292 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.292 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.292 * [taylor]: Taking taylor expansion of n in n 4.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.292 * [taylor]: Taking taylor expansion of 1.0 in n 4.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.292 * [taylor]: Taking taylor expansion of k in n 4.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 4.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 4.293 * [taylor]: Taking taylor expansion of 0.5 in n 4.293 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 4.293 * [taylor]: Taking taylor expansion of (log PI) in n 4.293 * [taylor]: Taking taylor expansion of PI in n 4.293 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.293 * [taylor]: Taking taylor expansion of 1.0 in n 4.293 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.293 * [taylor]: Taking taylor expansion of k in n 4.294 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 4.294 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 4.294 * [taylor]: Taking taylor expansion of 0.5 in n 4.294 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 4.294 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.294 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.294 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.294 * [taylor]: Taking taylor expansion of 1.0 in n 4.294 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.295 * [taylor]: Taking taylor expansion of 2.0 in n 4.308 * [taylor]: Taking taylor expansion of 0 in n 4.328 * [taylor]: Taking taylor expansion of 0 in n 4.364 * [taylor]: Taking taylor expansion of 0 in n 4.366 * [approximate]: Taking taylor expansion of (* (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (pow (pow 2.0 1.0) 0.5)) in (k n) around 0 4.366 * [taylor]: Taking taylor expansion of (* (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (pow (pow 2.0 1.0) 0.5)) in n 4.366 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.366 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.366 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.366 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.366 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.366 * [taylor]: Taking taylor expansion of 0.5 in n 4.366 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.366 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.366 * [taylor]: Taking taylor expansion of k in n 4.366 * [taylor]: Taking taylor expansion of 1.0 in n 4.366 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.366 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.366 * [taylor]: Taking taylor expansion of -1 in n 4.366 * [taylor]: Taking taylor expansion of n in n 4.368 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 4.368 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 4.368 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 4.368 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.368 * [taylor]: Taking taylor expansion of 0.5 in n 4.368 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.368 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.368 * [taylor]: Taking taylor expansion of k in n 4.368 * [taylor]: Taking taylor expansion of 1.0 in n 4.368 * [taylor]: Taking taylor expansion of (log PI) in n 4.368 * [taylor]: Taking taylor expansion of PI in n 4.369 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 4.369 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 4.369 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 4.369 * [taylor]: Taking taylor expansion of 0.5 in n 4.369 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 4.369 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.369 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.369 * [taylor]: Taking taylor expansion of 1.0 in n 4.369 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.369 * [taylor]: Taking taylor expansion of 2.0 in n 4.374 * [taylor]: Taking taylor expansion of (* (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (pow (pow 2.0 1.0) 0.5)) in k 4.374 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.374 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.374 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.374 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.374 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.374 * [taylor]: Taking taylor expansion of 0.5 in k 4.374 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.374 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.374 * [taylor]: Taking taylor expansion of k in k 4.375 * [taylor]: Taking taylor expansion of 1.0 in k 4.375 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.375 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.375 * [taylor]: Taking taylor expansion of -1 in k 4.375 * [taylor]: Taking taylor expansion of n in k 4.376 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.376 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.376 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.376 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.376 * [taylor]: Taking taylor expansion of 0.5 in k 4.376 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.376 * [taylor]: Taking taylor expansion of k in k 4.376 * [taylor]: Taking taylor expansion of 1.0 in k 4.376 * [taylor]: Taking taylor expansion of (log PI) in k 4.376 * [taylor]: Taking taylor expansion of PI in k 4.378 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 4.378 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 4.378 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 4.378 * [taylor]: Taking taylor expansion of 0.5 in k 4.378 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 4.378 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.378 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.378 * [taylor]: Taking taylor expansion of 1.0 in k 4.378 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.378 * [taylor]: Taking taylor expansion of 2.0 in k 4.383 * [taylor]: Taking taylor expansion of (* (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (pow (pow 2.0 1.0) 0.5)) in k 4.383 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.383 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.383 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.383 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.383 * [taylor]: Taking taylor expansion of 0.5 in k 4.383 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.383 * [taylor]: Taking taylor expansion of k in k 4.384 * [taylor]: Taking taylor expansion of 1.0 in k 4.384 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.384 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.384 * [taylor]: Taking taylor expansion of -1 in k 4.384 * [taylor]: Taking taylor expansion of n in k 4.384 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.384 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.384 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.384 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.384 * [taylor]: Taking taylor expansion of 0.5 in k 4.384 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.384 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.384 * [taylor]: Taking taylor expansion of k in k 4.385 * [taylor]: Taking taylor expansion of 1.0 in k 4.385 * [taylor]: Taking taylor expansion of (log PI) in k 4.385 * [taylor]: Taking taylor expansion of PI in k 4.386 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 4.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 4.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 4.387 * [taylor]: Taking taylor expansion of 0.5 in k 4.387 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 4.387 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.387 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.387 * [taylor]: Taking taylor expansion of 1.0 in k 4.387 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.387 * [taylor]: Taking taylor expansion of 2.0 in k 4.393 * [taylor]: Taking taylor expansion of (* (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (pow (pow 2.0 1.0) 0.5)) in n 4.393 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 4.393 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 4.393 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 4.393 * [taylor]: Taking taylor expansion of 0.5 in n 4.393 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 4.393 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.393 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.393 * [taylor]: Taking taylor expansion of k in n 4.393 * [taylor]: Taking taylor expansion of 1.0 in n 4.393 * [taylor]: Taking taylor expansion of (log PI) in n 4.393 * [taylor]: Taking taylor expansion of PI in n 4.395 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.395 * [taylor]: Taking taylor expansion of 0.5 in n 4.395 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.395 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.395 * [taylor]: Taking taylor expansion of k in n 4.395 * [taylor]: Taking taylor expansion of 1.0 in n 4.395 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.395 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.395 * [taylor]: Taking taylor expansion of -1 in n 4.395 * [taylor]: Taking taylor expansion of n in n 4.397 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 4.397 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 4.397 * [taylor]: Taking taylor expansion of 0.5 in n 4.397 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 4.397 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.397 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.397 * [taylor]: Taking taylor expansion of 1.0 in n 4.397 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.397 * [taylor]: Taking taylor expansion of 2.0 in n 4.411 * [taylor]: Taking taylor expansion of 0 in n 4.432 * [taylor]: Taking taylor expansion of 0 in n 4.469 * [taylor]: Taking taylor expansion of 0 in n 4.471 * * * * [progress]: [ 3 / 4 ] generating series at (2) 4.472 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in (k n) around 0 4.472 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in n 4.472 * [taylor]: Taking taylor expansion of 1.0 in n 4.472 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in n 4.472 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.472 * [taylor]: Taking taylor expansion of k in n 4.472 * [taylor]: Taking taylor expansion of (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in n 4.472 * [taylor]: Taking taylor expansion of (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) in n 4.472 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.472 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 4.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 4.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 4.472 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.472 * [taylor]: Taking taylor expansion of 0.5 in n 4.472 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.472 * [taylor]: Taking taylor expansion of 1.0 in n 4.472 * [taylor]: Taking taylor expansion of k in n 4.472 * [taylor]: Taking taylor expansion of (log PI) in n 4.472 * [taylor]: Taking taylor expansion of PI in n 4.473 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.473 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.473 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.473 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.473 * [taylor]: Taking taylor expansion of 0.5 in n 4.473 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.473 * [taylor]: Taking taylor expansion of 1.0 in n 4.474 * [taylor]: Taking taylor expansion of k in n 4.474 * [taylor]: Taking taylor expansion of (log n) in n 4.474 * [taylor]: Taking taylor expansion of n in n 4.474 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 k)) in n 4.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log 2.0))) in n 4.474 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log 2.0)) in n 4.474 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.474 * [taylor]: Taking taylor expansion of 0.5 in n 4.474 * [taylor]: Taking taylor expansion of k in n 4.474 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.474 * [taylor]: Taking taylor expansion of 2.0 in n 4.476 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 4.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 4.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 4.476 * [taylor]: Taking taylor expansion of 0.5 in n 4.476 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 4.476 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.476 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.476 * [taylor]: Taking taylor expansion of 1.0 in n 4.476 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.477 * [taylor]: Taking taylor expansion of 2.0 in n 4.482 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in k 4.482 * [taylor]: Taking taylor expansion of 1.0 in k 4.482 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in k 4.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.482 * [taylor]: Taking taylor expansion of k in k 4.483 * [taylor]: Taking taylor expansion of (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in k 4.483 * [taylor]: Taking taylor expansion of (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) in k 4.483 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.483 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.483 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.483 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.483 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.483 * [taylor]: Taking taylor expansion of 0.5 in k 4.483 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.483 * [taylor]: Taking taylor expansion of 1.0 in k 4.483 * [taylor]: Taking taylor expansion of k in k 4.483 * [taylor]: Taking taylor expansion of (log PI) in k 4.483 * [taylor]: Taking taylor expansion of PI in k 4.486 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.486 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.486 * [taylor]: Taking taylor expansion of 0.5 in k 4.486 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.486 * [taylor]: Taking taylor expansion of 1.0 in k 4.486 * [taylor]: Taking taylor expansion of k in k 4.486 * [taylor]: Taking taylor expansion of (log n) in k 4.486 * [taylor]: Taking taylor expansion of n in k 4.487 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 k)) in k 4.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log 2.0))) in k 4.487 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log 2.0)) in k 4.487 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.487 * [taylor]: Taking taylor expansion of 0.5 in k 4.487 * [taylor]: Taking taylor expansion of k in k 4.487 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.487 * [taylor]: Taking taylor expansion of 2.0 in k 4.492 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 4.492 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 4.492 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 4.492 * [taylor]: Taking taylor expansion of 0.5 in k 4.492 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 4.492 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.492 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.492 * [taylor]: Taking taylor expansion of 1.0 in k 4.492 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.492 * [taylor]: Taking taylor expansion of 2.0 in k 4.497 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in k 4.497 * [taylor]: Taking taylor expansion of 1.0 in k 4.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in k 4.497 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.497 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.497 * [taylor]: Taking taylor expansion of k in k 4.498 * [taylor]: Taking taylor expansion of (* (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in k 4.498 * [taylor]: Taking taylor expansion of (/ (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) (pow 2.0 (* 0.5 k))) in k 4.498 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.498 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.498 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.498 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.498 * [taylor]: Taking taylor expansion of 0.5 in k 4.498 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.498 * [taylor]: Taking taylor expansion of 1.0 in k 4.498 * [taylor]: Taking taylor expansion of k in k 4.498 * [taylor]: Taking taylor expansion of (log PI) in k 4.498 * [taylor]: Taking taylor expansion of PI in k 4.501 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.501 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.501 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.501 * [taylor]: Taking taylor expansion of 0.5 in k 4.501 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.501 * [taylor]: Taking taylor expansion of 1.0 in k 4.501 * [taylor]: Taking taylor expansion of k in k 4.501 * [taylor]: Taking taylor expansion of (log n) in k 4.501 * [taylor]: Taking taylor expansion of n in k 4.502 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 k)) in k 4.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log 2.0))) in k 4.502 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log 2.0)) in k 4.502 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.502 * [taylor]: Taking taylor expansion of 0.5 in k 4.502 * [taylor]: Taking taylor expansion of k in k 4.502 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.502 * [taylor]: Taking taylor expansion of 2.0 in k 4.506 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 4.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 4.507 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 4.507 * [taylor]: Taking taylor expansion of 0.5 in k 4.507 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 4.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.507 * [taylor]: Taking taylor expansion of 1.0 in k 4.507 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.507 * [taylor]: Taking taylor expansion of 2.0 in k 4.514 * [taylor]: Taking taylor expansion of 0 in n 4.554 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.554 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.554 * [taylor]: Taking taylor expansion of +nan.0 in n 4.554 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.554 * [taylor]: Taking taylor expansion of 0.5 in n 4.554 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.554 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.555 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.555 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.555 * [taylor]: Taking taylor expansion of 1.0 in n 4.555 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.555 * [taylor]: Taking taylor expansion of 2.0 in n 4.556 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.556 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.556 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.556 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.556 * [taylor]: Taking taylor expansion of 1.0 in n 4.557 * [taylor]: Taking taylor expansion of (log n) in n 4.557 * [taylor]: Taking taylor expansion of n in n 4.557 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.557 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.557 * [taylor]: Taking taylor expansion of 1.0 in n 4.557 * [taylor]: Taking taylor expansion of (log PI) in n 4.557 * [taylor]: Taking taylor expansion of PI in n 4.644 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))))))) in n 4.644 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))))))) in n 4.644 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.644 * [taylor]: Taking taylor expansion of +nan.0 in n 4.644 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.644 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.644 * [taylor]: Taking taylor expansion of 2.0 in n 4.644 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.644 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.644 * [taylor]: Taking taylor expansion of 0.5 in n 4.644 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.644 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.644 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.644 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.644 * [taylor]: Taking taylor expansion of 1.0 in n 4.644 * [taylor]: Taking taylor expansion of (log PI) in n 4.644 * [taylor]: Taking taylor expansion of PI in n 4.646 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.646 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.646 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.646 * [taylor]: Taking taylor expansion of 1.0 in n 4.646 * [taylor]: Taking taylor expansion of (log n) in n 4.646 * [taylor]: Taking taylor expansion of n in n 4.647 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.647 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.647 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.647 * [taylor]: Taking taylor expansion of 1.0 in n 4.647 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.647 * [taylor]: Taking taylor expansion of 2.0 in n 4.652 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))))) in n 4.652 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))))) in n 4.652 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.652 * [taylor]: Taking taylor expansion of +nan.0 in n 4.652 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.652 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.652 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.652 * [taylor]: Taking taylor expansion of 0.5 in n 4.652 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.652 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.652 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.653 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.653 * [taylor]: Taking taylor expansion of 1.0 in n 4.653 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.653 * [taylor]: Taking taylor expansion of 2.0 in n 4.654 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.654 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.654 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.654 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.654 * [taylor]: Taking taylor expansion of 1.0 in n 4.654 * [taylor]: Taking taylor expansion of (log n) in n 4.654 * [taylor]: Taking taylor expansion of n in n 4.655 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.655 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.655 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.655 * [taylor]: Taking taylor expansion of 1.0 in n 4.655 * [taylor]: Taking taylor expansion of (log PI) in n 4.655 * [taylor]: Taking taylor expansion of PI in n 4.660 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))) in n 4.661 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))) in n 4.661 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 4.661 * [taylor]: Taking taylor expansion of +nan.0 in n 4.661 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 4.661 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.661 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.661 * [taylor]: Taking taylor expansion of 0.5 in n 4.661 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.661 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.661 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.661 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.661 * [taylor]: Taking taylor expansion of 1.0 in n 4.661 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.661 * [taylor]: Taking taylor expansion of 2.0 in n 4.663 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.663 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.663 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.663 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.663 * [taylor]: Taking taylor expansion of 1.0 in n 4.663 * [taylor]: Taking taylor expansion of (log PI) in n 4.663 * [taylor]: Taking taylor expansion of PI in n 4.665 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.665 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.665 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.665 * [taylor]: Taking taylor expansion of 1.0 in n 4.665 * [taylor]: Taking taylor expansion of (log n) in n 4.665 * [taylor]: Taking taylor expansion of n in n 4.669 * [taylor]: Taking taylor expansion of (log n) in n 4.669 * [taylor]: Taking taylor expansion of n in n 4.669 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))) in n 4.669 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) in n 4.669 * [taylor]: Taking taylor expansion of +nan.0 in n 4.669 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)) in n 4.669 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.669 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.669 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.669 * [taylor]: Taking taylor expansion of 0.5 in n 4.669 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.669 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.669 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.669 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.669 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.669 * [taylor]: Taking taylor expansion of 1.0 in n 4.669 * [taylor]: Taking taylor expansion of (log PI) in n 4.669 * [taylor]: Taking taylor expansion of PI in n 4.671 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.671 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.671 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.671 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.671 * [taylor]: Taking taylor expansion of 1.0 in n 4.671 * [taylor]: Taking taylor expansion of (log n) in n 4.671 * [taylor]: Taking taylor expansion of n in n 4.672 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.672 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.672 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.672 * [taylor]: Taking taylor expansion of 1.0 in n 4.672 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.672 * [taylor]: Taking taylor expansion of 2.0 in n 4.678 * [taylor]: Taking taylor expansion of (log PI) in n 4.678 * [taylor]: Taking taylor expansion of PI in n 4.889 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))))))))))) in n 4.889 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))))))))))))))) in n 4.889 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 4.889 * [taylor]: Taking taylor expansion of +nan.0 in n 4.889 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 4.889 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.889 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.889 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.889 * [taylor]: Taking taylor expansion of 0.5 in n 4.889 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.889 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.889 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.889 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.889 * [taylor]: Taking taylor expansion of 1.0 in n 4.889 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.889 * [taylor]: Taking taylor expansion of 2.0 in n 4.891 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.891 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.891 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.891 * [taylor]: Taking taylor expansion of 1.0 in n 4.891 * [taylor]: Taking taylor expansion of (log PI) in n 4.891 * [taylor]: Taking taylor expansion of PI in n 4.893 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.893 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.893 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.893 * [taylor]: Taking taylor expansion of 1.0 in n 4.893 * [taylor]: Taking taylor expansion of (log n) in n 4.893 * [taylor]: Taking taylor expansion of n in n 4.897 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 4.897 * [taylor]: Taking taylor expansion of (log n) in n 4.897 * [taylor]: Taking taylor expansion of n in n 4.897 * [taylor]: Taking taylor expansion of (log PI) in n 4.897 * [taylor]: Taking taylor expansion of PI in n 4.898 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))))))))) in n 4.898 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))))))))))))) in n 4.898 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.898 * [taylor]: Taking taylor expansion of +nan.0 in n 4.898 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.898 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.898 * [taylor]: Taking taylor expansion of 2.0 in n 4.898 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.898 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.898 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.898 * [taylor]: Taking taylor expansion of 0.5 in n 4.898 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.898 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.898 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.898 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.898 * [taylor]: Taking taylor expansion of 1.0 in n 4.898 * [taylor]: Taking taylor expansion of (log PI) in n 4.898 * [taylor]: Taking taylor expansion of PI in n 4.900 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.900 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.900 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.900 * [taylor]: Taking taylor expansion of 1.0 in n 4.900 * [taylor]: Taking taylor expansion of (log n) in n 4.900 * [taylor]: Taking taylor expansion of n in n 4.901 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.901 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.901 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.901 * [taylor]: Taking taylor expansion of 1.0 in n 4.901 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.901 * [taylor]: Taking taylor expansion of 2.0 in n 4.906 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))))))) in n 4.906 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))))))))))) in n 4.907 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.907 * [taylor]: Taking taylor expansion of +nan.0 in n 4.907 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.907 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 4.907 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.907 * [taylor]: Taking taylor expansion of 2.0 in n 4.907 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.907 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.907 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.907 * [taylor]: Taking taylor expansion of 0.5 in n 4.907 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.907 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.907 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.907 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.907 * [taylor]: Taking taylor expansion of 1.0 in n 4.907 * [taylor]: Taking taylor expansion of (log PI) in n 4.907 * [taylor]: Taking taylor expansion of PI in n 4.909 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.909 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.909 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.909 * [taylor]: Taking taylor expansion of 1.0 in n 4.909 * [taylor]: Taking taylor expansion of (log n) in n 4.909 * [taylor]: Taking taylor expansion of n in n 4.910 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.910 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.910 * [taylor]: Taking taylor expansion of 1.0 in n 4.910 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.910 * [taylor]: Taking taylor expansion of 2.0 in n 4.915 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))))) in n 4.915 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))))))))) in n 4.915 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 4.915 * [taylor]: Taking taylor expansion of +nan.0 in n 4.915 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 4.915 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.915 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.915 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.915 * [taylor]: Taking taylor expansion of 0.5 in n 4.915 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.915 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.915 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.915 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.915 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.915 * [taylor]: Taking taylor expansion of 1.0 in n 4.915 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.916 * [taylor]: Taking taylor expansion of 2.0 in n 4.917 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.918 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.918 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.918 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.918 * [taylor]: Taking taylor expansion of 1.0 in n 4.918 * [taylor]: Taking taylor expansion of (log PI) in n 4.918 * [taylor]: Taking taylor expansion of PI in n 4.919 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.920 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.920 * [taylor]: Taking taylor expansion of 1.0 in n 4.920 * [taylor]: Taking taylor expansion of (log n) in n 4.920 * [taylor]: Taking taylor expansion of n in n 4.924 * [taylor]: Taking taylor expansion of (log n) in n 4.924 * [taylor]: Taking taylor expansion of n in n 4.924 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))))) in n 4.924 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))))))) in n 4.924 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 4.924 * [taylor]: Taking taylor expansion of +nan.0 in n 4.924 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 4.924 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.924 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.924 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.924 * [taylor]: Taking taylor expansion of 0.5 in n 4.924 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.924 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.924 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.924 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.924 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.924 * [taylor]: Taking taylor expansion of 1.0 in n 4.924 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.925 * [taylor]: Taking taylor expansion of 2.0 in n 4.926 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.927 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.927 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.927 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.927 * [taylor]: Taking taylor expansion of 1.0 in n 4.927 * [taylor]: Taking taylor expansion of (log PI) in n 4.927 * [taylor]: Taking taylor expansion of PI in n 4.928 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.929 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.929 * [taylor]: Taking taylor expansion of 1.0 in n 4.929 * [taylor]: Taking taylor expansion of (log n) in n 4.929 * [taylor]: Taking taylor expansion of n in n 4.933 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.933 * [taylor]: Taking taylor expansion of (log n) in n 4.933 * [taylor]: Taking taylor expansion of n in n 4.933 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))))) in n 4.933 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))))) in n 4.933 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.933 * [taylor]: Taking taylor expansion of +nan.0 in n 4.933 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.933 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 4.933 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.933 * [taylor]: Taking taylor expansion of 2.0 in n 4.934 * [taylor]: Taking taylor expansion of (log PI) in n 4.934 * [taylor]: Taking taylor expansion of PI in n 4.934 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.934 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.934 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.934 * [taylor]: Taking taylor expansion of 0.5 in n 4.934 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.934 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.934 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.934 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.934 * [taylor]: Taking taylor expansion of 1.0 in n 4.934 * [taylor]: Taking taylor expansion of (log PI) in n 4.934 * [taylor]: Taking taylor expansion of PI in n 4.936 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.936 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.936 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.936 * [taylor]: Taking taylor expansion of 1.0 in n 4.936 * [taylor]: Taking taylor expansion of (log n) in n 4.936 * [taylor]: Taking taylor expansion of n in n 4.937 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.937 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.937 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.937 * [taylor]: Taking taylor expansion of 1.0 in n 4.937 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.937 * [taylor]: Taking taylor expansion of 2.0 in n 4.943 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))))) in n 4.943 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))))) in n 4.943 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.943 * [taylor]: Taking taylor expansion of +nan.0 in n 4.943 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.943 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.943 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.943 * [taylor]: Taking taylor expansion of 0.5 in n 4.943 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.943 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.943 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.943 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.943 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.943 * [taylor]: Taking taylor expansion of 1.0 in n 4.943 * [taylor]: Taking taylor expansion of (log PI) in n 4.943 * [taylor]: Taking taylor expansion of PI in n 4.945 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.945 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.945 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.945 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.945 * [taylor]: Taking taylor expansion of 1.0 in n 4.945 * [taylor]: Taking taylor expansion of (log n) in n 4.945 * [taylor]: Taking taylor expansion of n in n 4.946 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.946 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.946 * [taylor]: Taking taylor expansion of 1.0 in n 4.946 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.946 * [taylor]: Taking taylor expansion of 2.0 in n 4.951 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) in n 4.951 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))))) in n 4.951 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))) in n 4.951 * [taylor]: Taking taylor expansion of +nan.0 in n 4.951 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)) in n 4.951 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.951 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.951 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.951 * [taylor]: Taking taylor expansion of 0.5 in n 4.951 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.951 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.951 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.951 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.951 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.951 * [taylor]: Taking taylor expansion of 1.0 in n 4.951 * [taylor]: Taking taylor expansion of (log PI) in n 4.951 * [taylor]: Taking taylor expansion of PI in n 4.953 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.953 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.953 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.953 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.953 * [taylor]: Taking taylor expansion of 1.0 in n 4.953 * [taylor]: Taking taylor expansion of (log n) in n 4.953 * [taylor]: Taking taylor expansion of n in n 4.954 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.954 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.954 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.954 * [taylor]: Taking taylor expansion of 1.0 in n 4.954 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.954 * [taylor]: Taking taylor expansion of 2.0 in n 4.959 * [taylor]: Taking taylor expansion of (log PI) in n 4.959 * [taylor]: Taking taylor expansion of PI in n 4.960 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))) in n 4.960 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))))) in n 4.960 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 4.960 * [taylor]: Taking taylor expansion of +nan.0 in n 4.960 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 4.960 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 4.960 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.960 * [taylor]: Taking taylor expansion of 2.0 in n 4.960 * [taylor]: Taking taylor expansion of (log n) in n 4.960 * [taylor]: Taking taylor expansion of n in n 4.960 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.960 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.960 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.960 * [taylor]: Taking taylor expansion of 0.5 in n 4.960 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.960 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.960 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.960 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.960 * [taylor]: Taking taylor expansion of 1.0 in n 4.961 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.961 * [taylor]: Taking taylor expansion of 2.0 in n 4.962 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.962 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.962 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.962 * [taylor]: Taking taylor expansion of 1.0 in n 4.962 * [taylor]: Taking taylor expansion of (log PI) in n 4.962 * [taylor]: Taking taylor expansion of PI in n 4.964 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.964 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.964 * [taylor]: Taking taylor expansion of 1.0 in n 4.964 * [taylor]: Taking taylor expansion of (log n) in n 4.964 * [taylor]: Taking taylor expansion of n in n 4.968 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))) in n 4.969 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2))) in n 4.969 * [taylor]: Taking taylor expansion of +nan.0 in n 4.969 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)) in n 4.969 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.969 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.969 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.969 * [taylor]: Taking taylor expansion of 0.5 in n 4.969 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.969 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.969 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.969 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.969 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.969 * [taylor]: Taking taylor expansion of 1.0 in n 4.969 * [taylor]: Taking taylor expansion of (log PI) in n 4.969 * [taylor]: Taking taylor expansion of PI in n 4.971 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.971 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.971 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.971 * [taylor]: Taking taylor expansion of 1.0 in n 4.971 * [taylor]: Taking taylor expansion of (log n) in n 4.971 * [taylor]: Taking taylor expansion of n in n 4.971 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.971 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.971 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.971 * [taylor]: Taking taylor expansion of 1.0 in n 4.972 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.972 * [taylor]: Taking taylor expansion of 2.0 in n 4.984 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 4.984 * [taylor]: Taking taylor expansion of (log PI) in n 4.984 * [taylor]: Taking taylor expansion of PI in n 5.226 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in (k n) around 0 5.226 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in n 5.226 * [taylor]: Taking taylor expansion of 1.0 in n 5.226 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in n 5.226 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.226 * [taylor]: Taking taylor expansion of k in n 5.226 * [taylor]: Taking taylor expansion of (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in n 5.227 * [taylor]: Taking taylor expansion of (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) in n 5.227 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 5.227 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.227 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.227 * [taylor]: Taking taylor expansion of 0.5 in n 5.227 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.227 * [taylor]: Taking taylor expansion of 1.0 in n 5.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.227 * [taylor]: Taking taylor expansion of k in n 5.227 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.227 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.227 * [taylor]: Taking taylor expansion of n in n 5.228 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 5.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 5.228 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 5.228 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.228 * [taylor]: Taking taylor expansion of 0.5 in n 5.228 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.228 * [taylor]: Taking taylor expansion of 1.0 in n 5.228 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.228 * [taylor]: Taking taylor expansion of k in n 5.228 * [taylor]: Taking taylor expansion of (log PI) in n 5.228 * [taylor]: Taking taylor expansion of PI in n 5.229 * [taylor]: Taking taylor expansion of (pow 2.0 (/ 0.5 k)) in n 5.229 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log 2.0))) in n 5.229 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log 2.0)) in n 5.229 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.229 * [taylor]: Taking taylor expansion of 0.5 in n 5.229 * [taylor]: Taking taylor expansion of k in n 5.229 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.229 * [taylor]: Taking taylor expansion of 2.0 in n 5.236 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 5.236 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 5.236 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 5.236 * [taylor]: Taking taylor expansion of 0.5 in n 5.236 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 5.236 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.236 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.236 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.236 * [taylor]: Taking taylor expansion of 1.0 in n 5.236 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.236 * [taylor]: Taking taylor expansion of 2.0 in n 5.241 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in k 5.242 * [taylor]: Taking taylor expansion of 1.0 in k 5.242 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in k 5.242 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.242 * [taylor]: Taking taylor expansion of k in k 5.243 * [taylor]: Taking taylor expansion of (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in k 5.243 * [taylor]: Taking taylor expansion of (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) in k 5.243 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 5.243 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.243 * [taylor]: Taking taylor expansion of 0.5 in k 5.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.243 * [taylor]: Taking taylor expansion of 1.0 in k 5.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.243 * [taylor]: Taking taylor expansion of k in k 5.243 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.243 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.243 * [taylor]: Taking taylor expansion of n in k 5.244 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.244 * [taylor]: Taking taylor expansion of 0.5 in k 5.244 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.244 * [taylor]: Taking taylor expansion of 1.0 in k 5.244 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.244 * [taylor]: Taking taylor expansion of k in k 5.245 * [taylor]: Taking taylor expansion of (log PI) in k 5.245 * [taylor]: Taking taylor expansion of PI in k 5.247 * [taylor]: Taking taylor expansion of (pow 2.0 (/ 0.5 k)) in k 5.247 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log 2.0))) in k 5.247 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log 2.0)) in k 5.247 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 5.247 * [taylor]: Taking taylor expansion of 0.5 in k 5.247 * [taylor]: Taking taylor expansion of k in k 5.247 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.247 * [taylor]: Taking taylor expansion of 2.0 in k 5.249 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 5.250 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 5.250 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 5.250 * [taylor]: Taking taylor expansion of 0.5 in k 5.250 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 5.250 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.250 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.250 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.250 * [taylor]: Taking taylor expansion of 1.0 in k 5.250 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.250 * [taylor]: Taking taylor expansion of 2.0 in k 5.255 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)))) in k 5.255 * [taylor]: Taking taylor expansion of 1.0 in k 5.255 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5))) in k 5.255 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.255 * [taylor]: Taking taylor expansion of k in k 5.256 * [taylor]: Taking taylor expansion of (* (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) (pow (pow 2.0 1.0) 0.5)) in k 5.256 * [taylor]: Taking taylor expansion of (/ (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) (pow 2.0 (/ 0.5 k))) in k 5.256 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 5.256 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.256 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.256 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.256 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.256 * [taylor]: Taking taylor expansion of 0.5 in k 5.256 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.256 * [taylor]: Taking taylor expansion of 1.0 in k 5.256 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.256 * [taylor]: Taking taylor expansion of k in k 5.256 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.256 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.256 * [taylor]: Taking taylor expansion of n in k 5.257 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.257 * [taylor]: Taking taylor expansion of 0.5 in k 5.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.257 * [taylor]: Taking taylor expansion of 1.0 in k 5.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.257 * [taylor]: Taking taylor expansion of k in k 5.258 * [taylor]: Taking taylor expansion of (log PI) in k 5.258 * [taylor]: Taking taylor expansion of PI in k 5.260 * [taylor]: Taking taylor expansion of (pow 2.0 (/ 0.5 k)) in k 5.260 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log 2.0))) in k 5.260 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log 2.0)) in k 5.260 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 5.260 * [taylor]: Taking taylor expansion of 0.5 in k 5.260 * [taylor]: Taking taylor expansion of k in k 5.260 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.260 * [taylor]: Taking taylor expansion of 2.0 in k 5.262 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 5.263 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 5.263 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 5.263 * [taylor]: Taking taylor expansion of 0.5 in k 5.263 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 5.263 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.263 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.263 * [taylor]: Taking taylor expansion of 1.0 in k 5.263 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.263 * [taylor]: Taking taylor expansion of 2.0 in k 5.271 * [taylor]: Taking taylor expansion of 0 in n 5.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)))) in n 5.283 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5))) in n 5.283 * [taylor]: Taking taylor expansion of +nan.0 in n 5.283 * [taylor]: Taking taylor expansion of (* (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)) in n 5.283 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) in n 5.283 * [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 5.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.283 * [taylor]: Taking taylor expansion of 0.5 in n 5.283 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.283 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.283 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.283 * [taylor]: Taking taylor expansion of n in n 5.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.283 * [taylor]: Taking taylor expansion of 1.0 in n 5.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.283 * [taylor]: Taking taylor expansion of k in n 5.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 5.284 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 5.284 * [taylor]: Taking taylor expansion of 0.5 in n 5.284 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 5.284 * [taylor]: Taking taylor expansion of (log PI) in n 5.284 * [taylor]: Taking taylor expansion of PI in n 5.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.284 * [taylor]: Taking taylor expansion of 1.0 in n 5.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.284 * [taylor]: Taking taylor expansion of k in n 5.286 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log 2.0) k))) in n 5.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log 2.0) k)) in n 5.286 * [taylor]: Taking taylor expansion of 0.5 in n 5.286 * [taylor]: Taking taylor expansion of (/ (log 2.0) k) in n 5.286 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.286 * [taylor]: Taking taylor expansion of 2.0 in n 5.286 * [taylor]: Taking taylor expansion of k in n 5.288 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 5.288 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 5.288 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 5.288 * [taylor]: Taking taylor expansion of 0.5 in n 5.288 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 5.288 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.288 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.288 * [taylor]: Taking taylor expansion of 1.0 in n 5.288 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.288 * [taylor]: Taking taylor expansion of 2.0 in n 5.317 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)))) in n 5.317 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5))) in n 5.317 * [taylor]: Taking taylor expansion of +nan.0 in n 5.317 * [taylor]: Taking taylor expansion of (* (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)) in n 5.317 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) in n 5.317 * [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 5.317 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.317 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.318 * [taylor]: Taking taylor expansion of 0.5 in n 5.318 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.318 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.318 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.318 * [taylor]: Taking taylor expansion of n in n 5.318 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.318 * [taylor]: Taking taylor expansion of 1.0 in n 5.318 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.318 * [taylor]: Taking taylor expansion of k in n 5.319 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 5.319 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 5.319 * [taylor]: Taking taylor expansion of 0.5 in n 5.319 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 5.319 * [taylor]: Taking taylor expansion of (log PI) in n 5.319 * [taylor]: Taking taylor expansion of PI in n 5.319 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.319 * [taylor]: Taking taylor expansion of 1.0 in n 5.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.319 * [taylor]: Taking taylor expansion of k in n 5.327 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log 2.0) k))) in n 5.327 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log 2.0) k)) in n 5.327 * [taylor]: Taking taylor expansion of 0.5 in n 5.327 * [taylor]: Taking taylor expansion of (/ (log 2.0) k) in n 5.327 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.327 * [taylor]: Taking taylor expansion of 2.0 in n 5.327 * [taylor]: Taking taylor expansion of k in n 5.329 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 5.329 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 5.329 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 5.329 * [taylor]: Taking taylor expansion of 0.5 in n 5.329 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 5.329 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.329 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.329 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.329 * [taylor]: Taking taylor expansion of 1.0 in n 5.329 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.329 * [taylor]: Taking taylor expansion of 2.0 in n 5.382 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)))) in n 5.382 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5))) in n 5.382 * [taylor]: Taking taylor expansion of +nan.0 in n 5.382 * [taylor]: Taking taylor expansion of (* (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)) in n 5.382 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) (exp (* 0.5 (/ (log 2.0) k)))) in n 5.382 * [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 5.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.382 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.382 * [taylor]: Taking taylor expansion of 0.5 in n 5.382 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.382 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.382 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.382 * [taylor]: Taking taylor expansion of n in n 5.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.383 * [taylor]: Taking taylor expansion of 1.0 in n 5.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.383 * [taylor]: Taking taylor expansion of k in n 5.383 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 5.383 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 5.383 * [taylor]: Taking taylor expansion of 0.5 in n 5.383 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 5.383 * [taylor]: Taking taylor expansion of (log PI) in n 5.383 * [taylor]: Taking taylor expansion of PI in n 5.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.384 * [taylor]: Taking taylor expansion of 1.0 in n 5.384 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.384 * [taylor]: Taking taylor expansion of k in n 5.385 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log 2.0) k))) in n 5.385 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log 2.0) k)) in n 5.385 * [taylor]: Taking taylor expansion of 0.5 in n 5.385 * [taylor]: Taking taylor expansion of (/ (log 2.0) k) in n 5.385 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.385 * [taylor]: Taking taylor expansion of 2.0 in n 5.385 * [taylor]: Taking taylor expansion of k in n 5.387 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 5.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 5.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 5.387 * [taylor]: Taking taylor expansion of 0.5 in n 5.387 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 5.387 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.387 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.387 * [taylor]: Taking taylor expansion of 1.0 in n 5.387 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.387 * [taylor]: Taking taylor expansion of 2.0 in n 5.405 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5))) in (k n) around 0 5.405 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5))) in n 5.405 * [taylor]: Taking taylor expansion of 1.0 in n 5.405 * [taylor]: Taking taylor expansion of (* (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5)) in n 5.405 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) in n 5.406 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 5.406 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.406 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.406 * [taylor]: Taking taylor expansion of 0.5 in n 5.406 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.406 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.406 * [taylor]: Taking taylor expansion of k in n 5.406 * [taylor]: Taking taylor expansion of 1.0 in n 5.406 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.406 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.406 * [taylor]: Taking taylor expansion of -1 in n 5.406 * [taylor]: Taking taylor expansion of n in n 5.407 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 5.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 5.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 5.408 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.408 * [taylor]: Taking taylor expansion of 0.5 in n 5.408 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.408 * [taylor]: Taking taylor expansion of k in n 5.408 * [taylor]: Taking taylor expansion of 1.0 in n 5.408 * [taylor]: Taking taylor expansion of (log PI) in n 5.408 * [taylor]: Taking taylor expansion of PI in n 5.409 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k))) in n 5.409 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.409 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.409 * [taylor]: Taking taylor expansion of -1 in n 5.409 * [taylor]: Taking taylor expansion of k in n 5.415 * [taylor]: Taking taylor expansion of (pow 2.0 (/ -0.5 k)) in n 5.415 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log 2.0))) in n 5.415 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log 2.0)) in n 5.415 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 5.415 * [taylor]: Taking taylor expansion of -0.5 in n 5.415 * [taylor]: Taking taylor expansion of k in n 5.415 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.415 * [taylor]: Taking taylor expansion of 2.0 in n 5.418 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 5.418 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 5.418 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 5.418 * [taylor]: Taking taylor expansion of 0.5 in n 5.418 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 5.418 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.418 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.418 * [taylor]: Taking taylor expansion of 1.0 in n 5.418 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.418 * [taylor]: Taking taylor expansion of 2.0 in n 5.423 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5))) in k 5.423 * [taylor]: Taking taylor expansion of 1.0 in k 5.423 * [taylor]: Taking taylor expansion of (* (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5)) in k 5.423 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) in k 5.423 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.423 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.423 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.423 * [taylor]: Taking taylor expansion of 0.5 in k 5.423 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.423 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.423 * [taylor]: Taking taylor expansion of k in k 5.424 * [taylor]: Taking taylor expansion of 1.0 in k 5.424 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.424 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.424 * [taylor]: Taking taylor expansion of -1 in k 5.424 * [taylor]: Taking taylor expansion of n in k 5.424 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.424 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.424 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.424 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.424 * [taylor]: Taking taylor expansion of 0.5 in k 5.424 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.424 * [taylor]: Taking taylor expansion of k in k 5.425 * [taylor]: Taking taylor expansion of 1.0 in k 5.425 * [taylor]: Taking taylor expansion of (log PI) in k 5.425 * [taylor]: Taking taylor expansion of PI in k 5.426 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k))) in k 5.427 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.427 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.427 * [taylor]: Taking taylor expansion of -1 in k 5.427 * [taylor]: Taking taylor expansion of k in k 5.428 * [taylor]: Taking taylor expansion of (pow 2.0 (/ -0.5 k)) in k 5.428 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log 2.0))) in k 5.428 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log 2.0)) in k 5.428 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 5.428 * [taylor]: Taking taylor expansion of -0.5 in k 5.428 * [taylor]: Taking taylor expansion of k in k 5.428 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.428 * [taylor]: Taking taylor expansion of 2.0 in k 5.431 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 5.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 5.432 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 5.432 * [taylor]: Taking taylor expansion of 0.5 in k 5.432 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 5.432 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.432 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.432 * [taylor]: Taking taylor expansion of 1.0 in k 5.432 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.432 * [taylor]: Taking taylor expansion of 2.0 in k 5.436 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5))) in k 5.437 * [taylor]: Taking taylor expansion of 1.0 in k 5.437 * [taylor]: Taking taylor expansion of (* (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) (pow (pow 2.0 1.0) 0.5)) in k 5.437 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k)))) in k 5.437 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.437 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.437 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.437 * [taylor]: Taking taylor expansion of 0.5 in k 5.437 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.437 * [taylor]: Taking taylor expansion of k in k 5.437 * [taylor]: Taking taylor expansion of 1.0 in k 5.437 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.437 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.437 * [taylor]: Taking taylor expansion of -1 in k 5.437 * [taylor]: Taking taylor expansion of n in k 5.438 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.438 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.438 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.438 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.438 * [taylor]: Taking taylor expansion of 0.5 in k 5.438 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.438 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.438 * [taylor]: Taking taylor expansion of k in k 5.438 * [taylor]: Taking taylor expansion of 1.0 in k 5.439 * [taylor]: Taking taylor expansion of (log PI) in k 5.439 * [taylor]: Taking taylor expansion of PI in k 5.440 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow 2.0 (/ -0.5 k))) in k 5.440 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.440 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.440 * [taylor]: Taking taylor expansion of -1 in k 5.440 * [taylor]: Taking taylor expansion of k in k 5.442 * [taylor]: Taking taylor expansion of (pow 2.0 (/ -0.5 k)) in k 5.442 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log 2.0))) in k 5.442 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log 2.0)) in k 5.442 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 5.442 * [taylor]: Taking taylor expansion of -0.5 in k 5.442 * [taylor]: Taking taylor expansion of k in k 5.442 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.442 * [taylor]: Taking taylor expansion of 2.0 in k 5.445 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in k 5.445 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in k 5.445 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in k 5.445 * [taylor]: Taking taylor expansion of 0.5 in k 5.446 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in k 5.446 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.446 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.446 * [taylor]: Taking taylor expansion of 1.0 in k 5.446 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.446 * [taylor]: Taking taylor expansion of 2.0 in k 5.454 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5))) in n 5.454 * [taylor]: Taking taylor expansion of +nan.0 in n 5.454 * [taylor]: Taking taylor expansion of (* (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)) in n 5.454 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) in n 5.454 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 5.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 5.454 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 5.454 * [taylor]: Taking taylor expansion of 0.5 in n 5.454 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 5.454 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.454 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.454 * [taylor]: Taking taylor expansion of k in n 5.454 * [taylor]: Taking taylor expansion of 1.0 in n 5.454 * [taylor]: Taking taylor expansion of (log PI) in n 5.454 * [taylor]: Taking taylor expansion of PI in n 5.455 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.455 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.455 * [taylor]: Taking taylor expansion of 0.5 in n 5.455 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.455 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.455 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.455 * [taylor]: Taking taylor expansion of k in n 5.455 * [taylor]: Taking taylor expansion of 1.0 in n 5.455 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.455 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.455 * [taylor]: Taking taylor expansion of -1 in n 5.455 * [taylor]: Taking taylor expansion of n in n 5.457 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log 2.0) k))) in n 5.458 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log 2.0) k)) in n 5.458 * [taylor]: Taking taylor expansion of -0.5 in n 5.458 * [taylor]: Taking taylor expansion of (/ (log 2.0) k) in n 5.458 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.458 * [taylor]: Taking taylor expansion of 2.0 in n 5.458 * [taylor]: Taking taylor expansion of k in n 5.460 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 5.460 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 5.460 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 5.460 * [taylor]: Taking taylor expansion of 0.5 in n 5.460 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 5.460 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.460 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.461 * [taylor]: Taking taylor expansion of 1.0 in n 5.461 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.461 * [taylor]: Taking taylor expansion of 2.0 in n 5.486 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)))) in n 5.486 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5))) in n 5.486 * [taylor]: Taking taylor expansion of +nan.0 in n 5.486 * [taylor]: Taking taylor expansion of (* (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)) in n 5.486 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) in n 5.486 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 5.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 5.486 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 5.486 * [taylor]: Taking taylor expansion of 0.5 in n 5.486 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 5.486 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.487 * [taylor]: Taking taylor expansion of k in n 5.487 * [taylor]: Taking taylor expansion of 1.0 in n 5.487 * [taylor]: Taking taylor expansion of (log PI) in n 5.487 * [taylor]: Taking taylor expansion of PI in n 5.488 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.488 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.488 * [taylor]: Taking taylor expansion of 0.5 in n 5.488 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.488 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.488 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.488 * [taylor]: Taking taylor expansion of k in n 5.488 * [taylor]: Taking taylor expansion of 1.0 in n 5.488 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.488 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.488 * [taylor]: Taking taylor expansion of -1 in n 5.488 * [taylor]: Taking taylor expansion of n in n 5.490 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log 2.0) k))) in n 5.490 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log 2.0) k)) in n 5.490 * [taylor]: Taking taylor expansion of -0.5 in n 5.490 * [taylor]: Taking taylor expansion of (/ (log 2.0) k) in n 5.490 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.490 * [taylor]: Taking taylor expansion of 2.0 in n 5.491 * [taylor]: Taking taylor expansion of k in n 5.493 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 5.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 5.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 5.493 * [taylor]: Taking taylor expansion of 0.5 in n 5.493 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 5.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.493 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.493 * [taylor]: Taking taylor expansion of 1.0 in n 5.493 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.493 * [taylor]: Taking taylor expansion of 2.0 in n 5.553 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)))) in n 5.554 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5))) in n 5.554 * [taylor]: Taking taylor expansion of +nan.0 in n 5.554 * [taylor]: Taking taylor expansion of (* (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)) in n 5.554 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) (exp (* -0.5 (/ (log 2.0) k)))) in n 5.554 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 5.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 5.554 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 5.554 * [taylor]: Taking taylor expansion of 0.5 in n 5.554 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 5.554 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.554 * [taylor]: Taking taylor expansion of k in n 5.554 * [taylor]: Taking taylor expansion of 1.0 in n 5.554 * [taylor]: Taking taylor expansion of (log PI) in n 5.554 * [taylor]: Taking taylor expansion of PI in n 5.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.555 * [taylor]: Taking taylor expansion of 0.5 in n 5.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.555 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.555 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.555 * [taylor]: Taking taylor expansion of k in n 5.555 * [taylor]: Taking taylor expansion of 1.0 in n 5.555 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.555 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.555 * [taylor]: Taking taylor expansion of -1 in n 5.555 * [taylor]: Taking taylor expansion of n in n 5.557 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log 2.0) k))) in n 5.557 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log 2.0) k)) in n 5.557 * [taylor]: Taking taylor expansion of -0.5 in n 5.557 * [taylor]: Taking taylor expansion of (/ (log 2.0) k) in n 5.558 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.558 * [taylor]: Taking taylor expansion of 2.0 in n 5.558 * [taylor]: Taking taylor expansion of k in n 5.560 * [taylor]: Taking taylor expansion of (pow (pow 2.0 1.0) 0.5) in n 5.560 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (pow 2.0 1.0)))) in n 5.560 * [taylor]: Taking taylor expansion of (* 0.5 (log (pow 2.0 1.0))) in n 5.560 * [taylor]: Taking taylor expansion of 0.5 in n 5.560 * [taylor]: Taking taylor expansion of (log (pow 2.0 1.0)) in n 5.560 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.560 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.560 * [taylor]: Taking taylor expansion of 1.0 in n 5.560 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.560 * [taylor]: Taking taylor expansion of 2.0 in n 5.579 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.579 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 5.579 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 5.579 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 5.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 5.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 5.579 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.579 * [taylor]: Taking taylor expansion of 0.5 in n 5.579 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.579 * [taylor]: Taking taylor expansion of 1.0 in n 5.579 * [taylor]: Taking taylor expansion of k in n 5.579 * [taylor]: Taking taylor expansion of (log PI) in n 5.579 * [taylor]: Taking taylor expansion of PI in n 5.580 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.580 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.580 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.580 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.580 * [taylor]: Taking taylor expansion of 0.5 in n 5.580 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.580 * [taylor]: Taking taylor expansion of 1.0 in n 5.580 * [taylor]: Taking taylor expansion of k in n 5.580 * [taylor]: Taking taylor expansion of (log n) in n 5.581 * [taylor]: Taking taylor expansion of n in n 5.581 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.581 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 5.581 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 5.581 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 5.581 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.581 * [taylor]: Taking taylor expansion of 0.5 in k 5.581 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.581 * [taylor]: Taking taylor expansion of 1.0 in k 5.581 * [taylor]: Taking taylor expansion of k in k 5.581 * [taylor]: Taking taylor expansion of (log PI) in k 5.581 * [taylor]: Taking taylor expansion of PI in k 5.584 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.584 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.584 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.584 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.584 * [taylor]: Taking taylor expansion of 0.5 in k 5.584 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.584 * [taylor]: Taking taylor expansion of 1.0 in k 5.584 * [taylor]: Taking taylor expansion of k in k 5.584 * [taylor]: Taking taylor expansion of (log n) in k 5.584 * [taylor]: Taking taylor expansion of n in k 5.585 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.585 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 5.585 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 5.585 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 5.585 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.585 * [taylor]: Taking taylor expansion of 0.5 in k 5.585 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.585 * [taylor]: Taking taylor expansion of 1.0 in k 5.585 * [taylor]: Taking taylor expansion of k in k 5.585 * [taylor]: Taking taylor expansion of (log PI) in k 5.585 * [taylor]: Taking taylor expansion of PI in k 5.588 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.588 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.588 * [taylor]: Taking taylor expansion of 0.5 in k 5.588 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.588 * [taylor]: Taking taylor expansion of 1.0 in k 5.588 * [taylor]: Taking taylor expansion of k in k 5.588 * [taylor]: Taking taylor expansion of (log n) in k 5.588 * [taylor]: Taking taylor expansion of n in k 5.589 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 5.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 5.589 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 5.589 * [taylor]: Taking taylor expansion of 0.5 in n 5.589 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 5.589 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.589 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.589 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.589 * [taylor]: Taking taylor expansion of 1.0 in n 5.589 * [taylor]: Taking taylor expansion of (log n) in n 5.589 * [taylor]: Taking taylor expansion of n in n 5.590 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.590 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.590 * [taylor]: Taking taylor expansion of 1.0 in n 5.590 * [taylor]: Taking taylor expansion of (log PI) in n 5.590 * [taylor]: Taking taylor expansion of PI in n 5.614 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI))))) in n 5.614 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)))) in n 5.614 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 5.614 * [taylor]: Taking taylor expansion of 0.5 in n 5.614 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 5.614 * [taylor]: Taking taylor expansion of (log n) in n 5.614 * [taylor]: Taking taylor expansion of n in n 5.615 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 5.615 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 5.615 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 5.615 * [taylor]: Taking taylor expansion of 0.5 in n 5.615 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 5.615 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.615 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.615 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.615 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.615 * [taylor]: Taking taylor expansion of 1.0 in n 5.615 * [taylor]: Taking taylor expansion of (log n) in n 5.615 * [taylor]: Taking taylor expansion of n in n 5.616 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.616 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.616 * [taylor]: Taking taylor expansion of 1.0 in n 5.616 * [taylor]: Taking taylor expansion of (log PI) in n 5.616 * [taylor]: Taking taylor expansion of PI in n 5.619 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI))) in n 5.619 * [taylor]: Taking taylor expansion of 0.5 in n 5.619 * [taylor]: Taking taylor expansion of (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)) in n 5.619 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 5.620 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 5.620 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 5.620 * [taylor]: Taking taylor expansion of 0.5 in n 5.620 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 5.620 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.620 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.620 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.620 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.620 * [taylor]: Taking taylor expansion of 1.0 in n 5.620 * [taylor]: Taking taylor expansion of (log n) in n 5.620 * [taylor]: Taking taylor expansion of n in n 5.620 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.620 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.620 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.620 * [taylor]: Taking taylor expansion of 1.0 in n 5.620 * [taylor]: Taking taylor expansion of (log PI) in n 5.620 * [taylor]: Taking taylor expansion of PI in n 5.624 * [taylor]: Taking taylor expansion of (log PI) in n 5.624 * [taylor]: Taking taylor expansion of PI in n 5.656 * [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 n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) in n 5.656 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 5.656 * [taylor]: Taking taylor expansion of 0.25 in n 5.656 * [taylor]: Taking taylor expansion of (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 5.656 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 5.656 * [taylor]: Taking taylor expansion of (log n) in n 5.656 * [taylor]: Taking taylor expansion of n in n 5.657 * [taylor]: Taking taylor expansion of (log PI) in n 5.657 * [taylor]: Taking taylor expansion of PI in n 5.657 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 5.657 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 5.657 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 5.657 * [taylor]: Taking taylor expansion of 0.5 in n 5.657 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 5.657 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.657 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.657 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.657 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.657 * [taylor]: Taking taylor expansion of 1.0 in n 5.657 * [taylor]: Taking taylor expansion of (log n) in n 5.657 * [taylor]: Taking taylor expansion of n in n 5.658 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.658 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.658 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.658 * [taylor]: Taking taylor expansion of 1.0 in n 5.658 * [taylor]: Taking taylor expansion of (log PI) in n 5.658 * [taylor]: Taking taylor expansion of PI in n 5.662 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))) in n 5.662 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 5.662 * [taylor]: Taking taylor expansion of 0.125 in n 5.662 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 5.662 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 5.662 * [taylor]: Taking taylor expansion of (log n) in n 5.662 * [taylor]: Taking taylor expansion of n in n 5.662 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 5.662 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 5.662 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 5.662 * [taylor]: Taking taylor expansion of 0.5 in n 5.662 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 5.662 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.663 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.663 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.663 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.663 * [taylor]: Taking taylor expansion of 1.0 in n 5.663 * [taylor]: Taking taylor expansion of (log n) in n 5.663 * [taylor]: Taking taylor expansion of n in n 5.663 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.663 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.663 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.663 * [taylor]: Taking taylor expansion of 1.0 in n 5.663 * [taylor]: Taking taylor expansion of (log PI) in n 5.663 * [taylor]: Taking taylor expansion of PI in n 5.667 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) in n 5.667 * [taylor]: Taking taylor expansion of 0.125 in n 5.667 * [taylor]: Taking taylor expansion of (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)) in n 5.667 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 5.667 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 5.667 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 5.667 * [taylor]: Taking taylor expansion of 0.5 in n 5.667 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 5.667 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.667 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.667 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.667 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.667 * [taylor]: Taking taylor expansion of 1.0 in n 5.667 * [taylor]: Taking taylor expansion of (log n) in n 5.667 * [taylor]: Taking taylor expansion of n in n 5.668 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.668 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.668 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.668 * [taylor]: Taking taylor expansion of 1.0 in n 5.668 * [taylor]: Taking taylor expansion of (log PI) in n 5.668 * [taylor]: Taking taylor expansion of PI in n 5.672 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 5.672 * [taylor]: Taking taylor expansion of (log PI) in n 5.672 * [taylor]: Taking taylor expansion of PI in n 5.698 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 5.698 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 5.698 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 5.698 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 5.698 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.698 * [taylor]: Taking taylor expansion of 0.5 in n 5.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.698 * [taylor]: Taking taylor expansion of 1.0 in n 5.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.698 * [taylor]: Taking taylor expansion of k in n 5.698 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.698 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.698 * [taylor]: Taking taylor expansion of n in n 5.699 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 5.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 5.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 5.699 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.699 * [taylor]: Taking taylor expansion of 0.5 in n 5.700 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.700 * [taylor]: Taking taylor expansion of 1.0 in n 5.700 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.700 * [taylor]: Taking taylor expansion of k in n 5.700 * [taylor]: Taking taylor expansion of (log PI) in n 5.700 * [taylor]: Taking taylor expansion of PI in n 5.701 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 5.701 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.701 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.701 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.701 * [taylor]: Taking taylor expansion of 0.5 in k 5.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.701 * [taylor]: Taking taylor expansion of 1.0 in k 5.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.701 * [taylor]: Taking taylor expansion of k in k 5.701 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.701 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.701 * [taylor]: Taking taylor expansion of n in k 5.702 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.702 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.702 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.702 * [taylor]: Taking taylor expansion of 0.5 in k 5.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.702 * [taylor]: Taking taylor expansion of 1.0 in k 5.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.702 * [taylor]: Taking taylor expansion of k in k 5.703 * [taylor]: Taking taylor expansion of (log PI) in k 5.703 * [taylor]: Taking taylor expansion of PI in k 5.705 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 5.705 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.705 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 5.705 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 5.705 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.705 * [taylor]: Taking taylor expansion of 0.5 in k 5.705 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.705 * [taylor]: Taking taylor expansion of 1.0 in k 5.705 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.705 * [taylor]: Taking taylor expansion of k in k 5.705 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 5.705 * [taylor]: Taking taylor expansion of (/ 1 n) in k 5.705 * [taylor]: Taking taylor expansion of n in k 5.706 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 5.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 5.706 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 5.706 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.706 * [taylor]: Taking taylor expansion of 0.5 in k 5.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.706 * [taylor]: Taking taylor expansion of 1.0 in k 5.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.706 * [taylor]: Taking taylor expansion of k in k 5.707 * [taylor]: Taking taylor expansion of (log PI) in k 5.707 * [taylor]: Taking taylor expansion of PI in k 5.709 * [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 5.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 5.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 5.709 * [taylor]: Taking taylor expansion of 0.5 in n 5.709 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 5.709 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 5.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 5.709 * [taylor]: Taking taylor expansion of n in n 5.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.710 * [taylor]: Taking taylor expansion of 1.0 in n 5.710 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.710 * [taylor]: Taking taylor expansion of k in n 5.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 5.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 5.710 * [taylor]: Taking taylor expansion of 0.5 in n 5.710 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 5.710 * [taylor]: Taking taylor expansion of (log PI) in n 5.710 * [taylor]: Taking taylor expansion of PI in n 5.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.711 * [taylor]: Taking taylor expansion of 1.0 in n 5.711 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.711 * [taylor]: Taking taylor expansion of k in n 5.713 * [taylor]: Taking taylor expansion of 0 in n 5.720 * [taylor]: Taking taylor expansion of 0 in n 5.731 * [taylor]: Taking taylor expansion of 0 in n 5.731 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 5.731 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 5.731 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 5.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 5.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.731 * [taylor]: Taking taylor expansion of 0.5 in n 5.732 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.732 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.732 * [taylor]: Taking taylor expansion of k in n 5.732 * [taylor]: Taking taylor expansion of 1.0 in n 5.732 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.732 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.732 * [taylor]: Taking taylor expansion of -1 in n 5.732 * [taylor]: Taking taylor expansion of n in n 5.733 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 5.733 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 5.733 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 5.733 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.734 * [taylor]: Taking taylor expansion of 0.5 in n 5.734 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.734 * [taylor]: Taking taylor expansion of k in n 5.734 * [taylor]: Taking taylor expansion of 1.0 in n 5.734 * [taylor]: Taking taylor expansion of (log PI) in n 5.734 * [taylor]: Taking taylor expansion of PI in n 5.735 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.735 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.735 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.735 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.735 * [taylor]: Taking taylor expansion of 0.5 in k 5.735 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.735 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.735 * [taylor]: Taking taylor expansion of k in k 5.735 * [taylor]: Taking taylor expansion of 1.0 in k 5.735 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.735 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.735 * [taylor]: Taking taylor expansion of -1 in k 5.735 * [taylor]: Taking taylor expansion of n in k 5.736 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.736 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.736 * [taylor]: Taking taylor expansion of 0.5 in k 5.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.736 * [taylor]: Taking taylor expansion of k in k 5.736 * [taylor]: Taking taylor expansion of 1.0 in k 5.736 * [taylor]: Taking taylor expansion of (log PI) in k 5.736 * [taylor]: Taking taylor expansion of PI in k 5.738 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 5.738 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 5.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 5.738 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.738 * [taylor]: Taking taylor expansion of 0.5 in k 5.738 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.738 * [taylor]: Taking taylor expansion of k in k 5.739 * [taylor]: Taking taylor expansion of 1.0 in k 5.739 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 5.739 * [taylor]: Taking taylor expansion of (/ -1 n) in k 5.739 * [taylor]: Taking taylor expansion of -1 in k 5.739 * [taylor]: Taking taylor expansion of n in k 5.739 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 5.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 5.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 5.739 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.739 * [taylor]: Taking taylor expansion of 0.5 in k 5.740 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.740 * [taylor]: Taking taylor expansion of k in k 5.740 * [taylor]: Taking taylor expansion of 1.0 in k 5.740 * [taylor]: Taking taylor expansion of (log PI) in k 5.740 * [taylor]: Taking taylor expansion of PI in k 5.742 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 5.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 5.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 5.742 * [taylor]: Taking taylor expansion of 0.5 in n 5.742 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 5.742 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.742 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.742 * [taylor]: Taking taylor expansion of k in n 5.742 * [taylor]: Taking taylor expansion of 1.0 in n 5.742 * [taylor]: Taking taylor expansion of (log PI) in n 5.742 * [taylor]: Taking taylor expansion of PI in n 5.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 5.744 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 5.744 * [taylor]: Taking taylor expansion of 0.5 in n 5.744 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 5.744 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.744 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.744 * [taylor]: Taking taylor expansion of k in n 5.744 * [taylor]: Taking taylor expansion of 1.0 in n 5.744 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 5.744 * [taylor]: Taking taylor expansion of (/ -1 n) in n 5.744 * [taylor]: Taking taylor expansion of -1 in n 5.744 * [taylor]: Taking taylor expansion of n in n 5.748 * [taylor]: Taking taylor expansion of 0 in n 5.756 * [taylor]: Taking taylor expansion of 0 in n 5.767 * [taylor]: Taking taylor expansion of 0 in n 5.768 * * * [progress]: simplifying candidates 5.770 * [simplify]: Simplifying using # : (* (log PI) (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (- 1.0 k)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (* (pow PI (- 1.0 k)) (pow n (- 1.0 k))) (pow 2.0 1.0)) (+ (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (* (log 2.0) (/ 1.0 2.0))) (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ 1.0 2.0))) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (pow 2.0 (/ 1.0 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (pow 2.0 (/ 1.0 2.0))) (* (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0))) (- (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0)))) (- (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0)) (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ (/ k 2.0) 2))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (pow 2.0 (/ 1.0 2.0)) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ k 2.0))) (/ (pow 2.0 (/ 1.0 2.0)) (/ (sqrt k) 1.0)) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (pow 2.0 (/ k 2.0))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (sqrt k)) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (pow 2.0 (/ k 2.0))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (sqrt k) 1.0)) (/ (pow 2.0 (/ (/ 1.0 2.0) 2)) (pow 2.0 (/ k 2.0))) (/ (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (pow 2.0 (/ (/ 1.0 2.0) 2)) (pow 2.0 (/ (/ k 2.0) 2))) (/ (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (sqrt k)) (/ (pow 2.0 (/ (/ 1.0 2.0) 2)) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (pow 2.0 (/ k 2.0))) (/ (pow 2.0 (/ (/ 1.0 2.0) 2)) (/ (sqrt k) 1.0)) (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) (/ (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (pow PI (/ (- 1.0 k) 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow PI (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) (/ (* (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt k)) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ 1.0 2.0))) (* (/ 1 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ k 2.0))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (pow n (/ (/ 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2)))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt k)) (/ (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (/ (/ (pow 2.0 (/ k 2.0)) 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ k 2.0))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt k) 1.0)) (/ (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt k)) (/ (pow n (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (pow 2.0 (/ k 2.0)) 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ k 2.0))) (/ (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (/ (sqrt k) 1.0)) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (/ (/ (pow 2.0 (/ k 2.0)) 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow 2.0 (/ k 2.0))) (/ (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (/ (sqrt k) 1.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ k 2.0))) (/ (pow n (/ (- 1.0 k) 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (/ (pow 2.0 (/ k 2.0)) 1.0) (pow 2.0 (/ 1.0 2.0)))) (/ (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ k 2.0))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (pow 2.0 (/ 1.0 2.0)) (/ (sqrt k) 1.0)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ k 2.0))) (/ (pow 2.0 (/ 1.0 2.0)) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (/ k 2.0) 2))) (/ (pow 2.0 (/ 1.0 2.0)) (sqrt k)) (/ (pow PI (/ (- 1.0 k) 2.0)) (/ (/ (pow 2.0 (/ k 2.0)) 1.0) (pow n (/ (- 1.0 k) 2.0)))) (/ (pow 2.0 (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt k) 1.0)) (/ 1 (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0)))) (/ (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0))) (/ (sqrt k) 1.0)) (/ (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow 2.0 (/ (/ k 2.0) 2)))) (/ (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow 2.0 (/ 1.0 2.0))) (sqrt k)) (/ (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (/ (pow 2.0 (/ k 2.0)) (pow 2.0 (/ 1.0 2.0)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow 2.0 (/ 1.0 2.0))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow 2.0 (/ (/ 1.0 2.0) 2)))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow 2.0 (/ (/ 1.0 2.0) 2))) (/ (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (* (pow n (/ (- 1.0 k) 2.0)) (pow 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PI (/ k 2.0)) (pow n (/ k 2.0)))) (* (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow n (/ k 2.0))) (* (* (/ (sqrt k) 1.0) (pow 2.0 (/ k 2.0))) (pow PI (/ k 2.0))) (* PI n) (* (pow PI (- 1.0 k)) (pow n (- 1.0 k))) (* (/ (- 1.0 k) 2.0) (+ (log PI) (log n))) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (fma (* 0.125 (* (pow k 2) (pow (log PI) 2))) (pow (pow PI 1.0) 0.5) (- (pow PI 0.5) (* 0.5 (* (* k (log PI)) (pow (pow PI 1.0) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (exp (* 0.5 (* (- 1.0 k) (log PI)))) (+ (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)) (- (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log n) (log PI)))) (* 0.125 (* (pow k 2) (pow (log PI) 2))))) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (log PI))) (* 0.5 (* k (log n))))))) (* (exp (+ (* -0.5 (* (- 1.0 k) (log (/ 1 n)))) (* 0.5 (* (- 1.0 k) (log PI))))) (pow (pow 2.0 1.0) 0.5)) (* (pow (pow 2.0 1.0) 0.5) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log PI)))))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log PI) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log 2.0) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (fma +nan.0 (* (* (pow k 2) (* (log n) (log PI))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (* (log 2.0) (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))))))))))))))))) (+ (* (- +nan.0) (/ (* (exp (+ (* -0.5 (* (- 1.0 k) (log (/ 1 n)))) (* 0.5 (* (- 1.0 k) (log PI))))) (pow (pow 2.0 1.0) 0.5)) (* (pow k 2) (exp (* 0.5 (* (log 2.0) k)))))) (fma (- +nan.0) (/ (* (exp (+ (* -0.5 (* (- 1.0 k) (log (/ 1 n)))) (* 0.5 (* (- 1.0 k) (log PI))))) (pow (pow 2.0 1.0) 0.5)) (* k (exp (* 0.5 (* (log 2.0) k))))) (* (/ (* (exp (+ (* -0.5 (* (- 1.0 k) (log (/ 1 n)))) (* 0.5 (* (- 1.0 k) (log PI))))) (pow (pow 2.0 1.0) 0.5)) (* (pow k 3) (exp (* 0.5 (* (log 2.0) k))))) +nan.0))) (+ (* (- +nan.0) (* (exp (- (fma (* 0.5 (- 1.0 k)) (- (log -1) (log (/ -1 n))) (* 0.5 (* (- 1.0 k) (log PI)))) (* 0.5 (* (log 2.0) k)))) (/ (pow (pow 2.0 1.0) 0.5) (pow k 2)))) (fma +nan.0 (* (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (exp (* 0.5 (* (log 2.0) k)))) (pow (pow 2.0 1.0) 0.5)) (- (* +nan.0 (* (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log PI))))) (* (exp (* 0.5 (* (log 2.0) k))) k)) (pow (pow 2.0 1.0) 0.5)))))) (+ (* (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (+ (* 0.25 (* (pow k 2) (* (log n) (log PI)))) (* 0.125 (* (pow k 2) (pow (log PI) 2))))) (- (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)) (* (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log PI))))))) (exp (+ (* -0.5 (* (- 1.0 k) (log (/ 1 n)))) (* 0.5 (* (- 1.0 k) (log PI))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log PI))))) 5.817 * * * [progress]: adding candidates to table 6.431 * [progress]: [Phase 3 of 3] Extracting. 6.431 * * [regime]: Finding splitpoints for: (# # # # # #) 6.433 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 6.433 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 6.466 * * * * [regimes]: Trying to branch on n from (# # # # # #) 6.495 * * * * [regimes]: Trying to branch on k from (# # # # # #) 6.525 * * * [regime]: Found split indices: #