49.216 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.170 * * * [progress]: [2/2] Setting up program. 0.174 * [progress]: [Phase 2 of 3] Improving. 0.174 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.176 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.177 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.178 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.181 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.186 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.207 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.208 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.208 * * [progress]: iteration 1 / 4 0.208 * * * [progress]: picking best candidate 0.212 * * * * [pick]: Picked # 0.212 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.225 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.234 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.237 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.242 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.258 * * * [progress]: generating series expansions 0.258 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.258 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.258 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.258 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.258 * [taylor]: Taking taylor expansion of 0.5 in k 0.258 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.258 * [taylor]: Taking taylor expansion of 1.0 in k 0.258 * [taylor]: Taking taylor expansion of k in k 0.258 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.258 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.258 * [taylor]: Taking taylor expansion of 2.0 in k 0.258 * [taylor]: Taking taylor expansion of (* n PI) in k 0.258 * [taylor]: Taking taylor expansion of n in k 0.258 * [taylor]: Taking taylor expansion of PI in k 0.258 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.258 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.258 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.258 * [taylor]: Taking taylor expansion of 0.5 in n 0.258 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.258 * [taylor]: Taking taylor expansion of 1.0 in n 0.258 * [taylor]: Taking taylor expansion of k in n 0.258 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.258 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.258 * [taylor]: Taking taylor expansion of 2.0 in n 0.258 * [taylor]: Taking taylor expansion of (* n PI) in n 0.258 * [taylor]: Taking taylor expansion of n in n 0.258 * [taylor]: Taking taylor expansion of PI in n 0.259 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.259 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.259 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.259 * [taylor]: Taking taylor expansion of 0.5 in n 0.259 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.259 * [taylor]: Taking taylor expansion of 1.0 in n 0.259 * [taylor]: Taking taylor expansion of k in n 0.259 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.259 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.259 * [taylor]: Taking taylor expansion of 2.0 in n 0.259 * [taylor]: Taking taylor expansion of (* n PI) in n 0.259 * [taylor]: Taking taylor expansion of n in n 0.259 * [taylor]: Taking taylor expansion of PI in n 0.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.259 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.259 * [taylor]: Taking taylor expansion of 0.5 in k 0.259 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.259 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.260 * [taylor]: Taking taylor expansion of 1.0 in k 0.260 * [taylor]: Taking taylor expansion of k in k 0.260 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.260 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.260 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.260 * [taylor]: Taking taylor expansion of 2.0 in k 0.260 * [taylor]: Taking taylor expansion of PI in k 0.260 * [taylor]: Taking taylor expansion of (log n) in k 0.260 * [taylor]: Taking taylor expansion of n in k 0.260 * [taylor]: Taking taylor expansion of 0 in k 0.265 * [taylor]: Taking taylor expansion of 0 in k 0.268 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.268 * [taylor]: Taking taylor expansion of 0.5 in k 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.268 * [taylor]: Taking taylor expansion of 1.0 in k 0.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.268 * [taylor]: Taking taylor expansion of k in k 0.268 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.268 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.268 * [taylor]: Taking taylor expansion of 2.0 in k 0.268 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.268 * [taylor]: Taking taylor expansion of PI in k 0.268 * [taylor]: Taking taylor expansion of n in k 0.268 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.268 * [taylor]: Taking taylor expansion of 0.5 in n 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.268 * [taylor]: Taking taylor expansion of 1.0 in n 0.268 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.268 * [taylor]: Taking taylor expansion of k in n 0.268 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.269 * [taylor]: Taking taylor expansion of 2.0 in n 0.269 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.269 * [taylor]: Taking taylor expansion of PI in n 0.269 * [taylor]: Taking taylor expansion of n in n 0.269 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.269 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.269 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.269 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.269 * [taylor]: Taking taylor expansion of 0.5 in n 0.269 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.269 * [taylor]: Taking taylor expansion of 1.0 in n 0.269 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.269 * [taylor]: Taking taylor expansion of k in n 0.269 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.269 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.269 * [taylor]: Taking taylor expansion of 2.0 in n 0.269 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.269 * [taylor]: Taking taylor expansion of PI in n 0.269 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.270 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.270 * [taylor]: Taking taylor expansion of 0.5 in k 0.270 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.270 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.270 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.270 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.270 * [taylor]: Taking taylor expansion of 2.0 in k 0.270 * [taylor]: Taking taylor expansion of PI in k 0.270 * [taylor]: Taking taylor expansion of (log n) in k 0.270 * [taylor]: Taking taylor expansion of n in k 0.270 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.270 * [taylor]: Taking taylor expansion of 1.0 in k 0.270 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.270 * [taylor]: Taking taylor expansion of k in k 0.271 * [taylor]: Taking taylor expansion of 0 in k 0.272 * [taylor]: Taking taylor expansion of 0 in k 0.273 * [taylor]: Taking taylor expansion of 0 in k 0.273 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.273 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.273 * [taylor]: Taking taylor expansion of 0.5 in k 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.273 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.273 * [taylor]: Taking taylor expansion of k in k 0.273 * [taylor]: Taking taylor expansion of 1.0 in k 0.273 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.273 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.273 * [taylor]: Taking taylor expansion of -2.0 in k 0.273 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.273 * [taylor]: Taking taylor expansion of PI in k 0.273 * [taylor]: Taking taylor expansion of n in k 0.274 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.274 * [taylor]: Taking taylor expansion of 0.5 in n 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.274 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.274 * [taylor]: Taking taylor expansion of k in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.274 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.274 * [taylor]: Taking taylor expansion of -2.0 in n 0.274 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.274 * [taylor]: Taking taylor expansion of PI in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.274 * [taylor]: Taking taylor expansion of 0.5 in n 0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.274 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.274 * [taylor]: Taking taylor expansion of k in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.274 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.274 * [taylor]: Taking taylor expansion of -2.0 in n 0.274 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.274 * [taylor]: Taking taylor expansion of PI in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.275 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.275 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.275 * [taylor]: Taking taylor expansion of 0.5 in k 0.275 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.275 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.275 * [taylor]: Taking taylor expansion of k in k 0.275 * [taylor]: Taking taylor expansion of 1.0 in k 0.275 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.275 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.275 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.275 * [taylor]: Taking taylor expansion of -2.0 in k 0.275 * [taylor]: Taking taylor expansion of PI in k 0.275 * [taylor]: Taking taylor expansion of (log n) in k 0.275 * [taylor]: Taking taylor expansion of n in k 0.276 * [taylor]: Taking taylor expansion of 0 in k 0.277 * [taylor]: Taking taylor expansion of 0 in k 0.278 * [taylor]: Taking taylor expansion of 0 in k 0.278 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.278 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.278 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.278 * [taylor]: Taking taylor expansion of 1.0 in k 0.278 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.278 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.278 * [taylor]: Taking taylor expansion of k in k 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.279 * [taylor]: Taking taylor expansion of 1.0 in k 0.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.279 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.279 * [taylor]: Taking taylor expansion of k in k 0.280 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.280 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.280 * [taylor]: Taking taylor expansion of 1.0 in k 0.280 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.280 * [taylor]: Taking taylor expansion of k in k 0.280 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.280 * [taylor]: Taking taylor expansion of 1.0 in k 0.280 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.280 * [taylor]: Taking taylor expansion of k in k 0.281 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.281 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.281 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.281 * [taylor]: Taking taylor expansion of -1 in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.281 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.281 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.281 * [taylor]: Taking taylor expansion of -1 in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.286 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.286 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.286 * [taylor]: Taking taylor expansion of 2.0 in n 0.286 * [taylor]: Taking taylor expansion of (* n PI) in n 0.287 * [taylor]: Taking taylor expansion of n in n 0.287 * [taylor]: Taking taylor expansion of PI in n 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.287 * [taylor]: Taking taylor expansion of 2.0 in n 0.287 * [taylor]: Taking taylor expansion of (* n PI) in n 0.287 * [taylor]: Taking taylor expansion of n in n 0.287 * [taylor]: Taking taylor expansion of PI in n 0.287 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.288 * [taylor]: Taking taylor expansion of 2.0 in n 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.288 * [taylor]: Taking taylor expansion of 2.0 in n 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.289 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.289 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.289 * [taylor]: Taking taylor expansion of -2.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.289 * [taylor]: Taking taylor expansion of -2.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.290 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.290 * [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 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.290 * [taylor]: Taking taylor expansion of 0.5 in n 0.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.290 * [taylor]: Taking taylor expansion of 2.0 in n 0.290 * [taylor]: Taking taylor expansion of (* n PI) in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.291 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.291 * [taylor]: Taking taylor expansion of k in k 0.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.291 * [taylor]: Taking taylor expansion of 0.5 in k 0.291 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of k in k 0.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.291 * [taylor]: Taking taylor expansion of 2.0 in k 0.291 * [taylor]: Taking taylor expansion of (* n PI) in k 0.291 * [taylor]: Taking taylor expansion of n in k 0.291 * [taylor]: Taking taylor expansion of PI in k 0.291 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.291 * [taylor]: Taking taylor expansion of k in k 0.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.291 * [taylor]: Taking taylor expansion of 0.5 in k 0.291 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of k in k 0.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.291 * [taylor]: Taking taylor expansion of 2.0 in k 0.291 * [taylor]: Taking taylor expansion of (* n PI) in k 0.291 * [taylor]: Taking taylor expansion of n in k 0.292 * [taylor]: Taking taylor expansion of PI in k 0.292 * [taylor]: Taking taylor expansion of 0 in n 0.293 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.293 * [taylor]: Taking taylor expansion of 1.0 in n 0.293 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.293 * [taylor]: Taking taylor expansion of NAN in n 0.293 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.293 * [taylor]: Taking taylor expansion of 0.5 in n 0.293 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.293 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.293 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.293 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.293 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.293 * [taylor]: Taking taylor expansion of 1.0 in n 0.293 * [taylor]: Taking taylor expansion of (log PI) in n 0.293 * [taylor]: Taking taylor expansion of PI in n 0.293 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.293 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.293 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.293 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.293 * [taylor]: Taking taylor expansion of 1.0 in n 0.293 * [taylor]: Taking taylor expansion of (log n) in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.293 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.293 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.293 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.293 * [taylor]: Taking taylor expansion of 1.0 in n 0.294 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.294 * [taylor]: Taking taylor expansion of 2.0 in n 0.297 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 0.297 * [taylor]: Taking taylor expansion of 1.0 in n 0.297 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.298 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.298 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.298 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.298 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (log n) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (log PI) in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.299 * [taylor]: Taking taylor expansion of NAN in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.299 * [taylor]: Taking taylor expansion of 0.5 in n 0.299 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.299 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.299 * [taylor]: Taking taylor expansion of (* n PI) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of NAN in n 0.299 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.299 * [taylor]: Taking taylor expansion of 0.5 in n 0.299 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.299 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.299 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.300 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.300 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.300 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.300 * [taylor]: Taking taylor expansion of 1.0 in n 0.300 * [taylor]: Taking taylor expansion of (log n) in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.300 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.300 * [taylor]: Taking taylor expansion of 1.0 in n 0.300 * [taylor]: Taking taylor expansion of (log PI) in n 0.300 * [taylor]: Taking taylor expansion of PI in n 0.311 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.311 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 0.311 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.311 * [taylor]: Taking taylor expansion of 0.125 in n 0.311 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.311 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.311 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.311 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.311 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.311 * [taylor]: Taking taylor expansion of 2.0 in n 0.311 * [taylor]: Taking taylor expansion of (* n PI) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of PI in n 0.311 * [taylor]: Taking taylor expansion of NAN in n 0.311 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.311 * [taylor]: Taking taylor expansion of 0.5 in n 0.311 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.311 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.311 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.311 * [taylor]: Taking taylor expansion of 2.0 in n 0.312 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.312 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.312 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.312 * [taylor]: Taking taylor expansion of 1.0 in n 0.312 * [taylor]: Taking taylor expansion of (log n) in n 0.312 * [taylor]: Taking taylor expansion of n in n 0.312 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.312 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.312 * [taylor]: Taking taylor expansion of 1.0 in n 0.312 * [taylor]: Taking taylor expansion of (log PI) in n 0.312 * [taylor]: Taking taylor expansion of PI in n 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 0.313 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.313 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.313 * [taylor]: Taking taylor expansion of 0.5 in n 0.313 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.313 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.313 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.313 * [taylor]: Taking taylor expansion of 2.0 in n 0.313 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.313 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of (log n) in n 0.313 * [taylor]: Taking taylor expansion of n in n 0.313 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.313 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.313 * [taylor]: Taking taylor expansion of 1.0 in n 0.313 * [taylor]: Taking taylor expansion of (log PI) in n 0.313 * [taylor]: Taking taylor expansion of PI in n 0.314 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.314 * [taylor]: Taking taylor expansion of NAN in n 0.314 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.314 * [taylor]: Taking taylor expansion of 0.5 in n 0.314 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.314 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.314 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.314 * [taylor]: Taking taylor expansion of 2.0 in n 0.314 * [taylor]: Taking taylor expansion of (* n PI) in n 0.314 * [taylor]: Taking taylor expansion of n in n 0.314 * [taylor]: Taking taylor expansion of PI in n 0.314 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.314 * [taylor]: Taking taylor expansion of NAN in n 0.314 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.314 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.315 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.315 * [taylor]: Taking taylor expansion of 0.5 in n 0.315 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.315 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.315 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.315 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.315 * [taylor]: Taking taylor expansion of 1.0 in n 0.315 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.315 * [taylor]: Taking taylor expansion of 2.0 in n 0.315 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.315 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.315 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.315 * [taylor]: Taking taylor expansion of 1.0 in n 0.315 * [taylor]: Taking taylor expansion of (log n) in n 0.315 * [taylor]: Taking taylor expansion of n in n 0.315 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.315 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.315 * [taylor]: Taking taylor expansion of 1.0 in n 0.315 * [taylor]: Taking taylor expansion of (log PI) in n 0.315 * [taylor]: Taking taylor expansion of PI in n 0.330 * [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 0.330 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.330 * [taylor]: Taking taylor expansion of 1.0 in n 0.330 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.330 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.330 * [taylor]: Taking taylor expansion of k in n 0.330 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.330 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.330 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.330 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.330 * [taylor]: Taking taylor expansion of 0.5 in n 0.330 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.330 * [taylor]: Taking taylor expansion of 1.0 in n 0.330 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.330 * [taylor]: Taking taylor expansion of k in n 0.330 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.330 * [taylor]: Taking taylor expansion of 2.0 in n 0.330 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.330 * [taylor]: Taking taylor expansion of PI in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.331 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.331 * [taylor]: Taking taylor expansion of 1.0 in k 0.331 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.331 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.331 * [taylor]: Taking taylor expansion of k in k 0.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.331 * [taylor]: Taking taylor expansion of 0.5 in k 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.331 * [taylor]: Taking taylor expansion of 1.0 in k 0.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.331 * [taylor]: Taking taylor expansion of k in k 0.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.331 * [taylor]: Taking taylor expansion of 2.0 in k 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.331 * [taylor]: Taking taylor expansion of PI in k 0.331 * [taylor]: Taking taylor expansion of n in k 0.331 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.331 * [taylor]: Taking taylor expansion of 1.0 in k 0.331 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.331 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.331 * [taylor]: Taking taylor expansion of k in k 0.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.332 * [taylor]: Taking taylor expansion of 0.5 in k 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.332 * [taylor]: Taking taylor expansion of 2.0 in k 0.332 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.332 * [taylor]: Taking taylor expansion of PI in k 0.332 * [taylor]: Taking taylor expansion of n in k 0.332 * [taylor]: Taking taylor expansion of 0 in n 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.332 * [taylor]: Taking taylor expansion of NAN in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.333 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.333 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.333 * [taylor]: Taking taylor expansion of 2.0 in n 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.333 * [taylor]: Taking taylor expansion of 1.0 in n 0.333 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.333 * [taylor]: Taking taylor expansion of k in n 0.334 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.334 * [taylor]: Taking taylor expansion of 1.0 in n 0.334 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.334 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.334 * [taylor]: Taking taylor expansion of NAN in n 0.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.334 * [taylor]: Taking taylor expansion of 0.5 in n 0.334 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.334 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.334 * [taylor]: Taking taylor expansion of 2.0 in n 0.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.334 * [taylor]: Taking taylor expansion of PI in n 0.334 * [taylor]: Taking taylor expansion of n in n 0.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.334 * [taylor]: Taking taylor expansion of 1.0 in n 0.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.334 * [taylor]: Taking taylor expansion of k in n 0.337 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.337 * [taylor]: Taking taylor expansion of 1.0 in n 0.337 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.337 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.337 * [taylor]: Taking taylor expansion of NAN in n 0.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.337 * [taylor]: Taking taylor expansion of 0.5 in n 0.337 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.337 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.337 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.337 * [taylor]: Taking taylor expansion of 2.0 in n 0.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.337 * [taylor]: Taking taylor expansion of PI in n 0.337 * [taylor]: Taking taylor expansion of n in n 0.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.337 * [taylor]: Taking taylor expansion of 1.0 in n 0.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.337 * [taylor]: Taking taylor expansion of k in n 0.339 * [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 0.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.339 * [taylor]: Taking taylor expansion of 1.0 in n 0.339 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.339 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.339 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.339 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.339 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.339 * [taylor]: Taking taylor expansion of 0.5 in n 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.339 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.339 * [taylor]: Taking taylor expansion of k in n 0.339 * [taylor]: Taking taylor expansion of 1.0 in n 0.340 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.340 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.340 * [taylor]: Taking taylor expansion of -2.0 in n 0.340 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.340 * [taylor]: Taking taylor expansion of PI in n 0.340 * [taylor]: Taking taylor expansion of n in n 0.340 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.340 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.340 * [taylor]: Taking taylor expansion of -1 in n 0.340 * [taylor]: Taking taylor expansion of k in n 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.340 * [taylor]: Taking taylor expansion of 1.0 in k 0.340 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.340 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.340 * [taylor]: Taking taylor expansion of 0.5 in k 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.340 * [taylor]: Taking taylor expansion of k in k 0.340 * [taylor]: Taking taylor expansion of 1.0 in k 0.340 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.341 * [taylor]: Taking taylor expansion of -2.0 in k 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.341 * [taylor]: Taking taylor expansion of PI in k 0.341 * [taylor]: Taking taylor expansion of n in k 0.341 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.341 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.341 * [taylor]: Taking taylor expansion of -1 in k 0.341 * [taylor]: Taking taylor expansion of k in k 0.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.341 * [taylor]: Taking taylor expansion of 1.0 in k 0.341 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.341 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.341 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.341 * [taylor]: Taking taylor expansion of 0.5 in k 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.341 * [taylor]: Taking taylor expansion of k in k 0.341 * [taylor]: Taking taylor expansion of 1.0 in k 0.341 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.341 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.341 * [taylor]: Taking taylor expansion of -2.0 in k 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.341 * [taylor]: Taking taylor expansion of PI in k 0.341 * [taylor]: Taking taylor expansion of n in k 0.342 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.342 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.342 * [taylor]: Taking taylor expansion of -1 in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.342 * [taylor]: Taking taylor expansion of 1.0 in n 0.342 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.342 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.342 * [taylor]: Taking taylor expansion of 0.5 in n 0.342 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.342 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.342 * [taylor]: Taking taylor expansion of k in n 0.342 * [taylor]: Taking taylor expansion of 1.0 in n 0.342 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.342 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.342 * [taylor]: Taking taylor expansion of -2.0 in n 0.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.342 * [taylor]: Taking taylor expansion of PI in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.343 * [taylor]: Taking taylor expansion of NAN in n 0.344 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.344 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.344 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.344 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.344 * [taylor]: Taking taylor expansion of 0.5 in n 0.344 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.344 * [taylor]: Taking taylor expansion of k in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.344 * [taylor]: Taking taylor expansion of -2.0 in n 0.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.344 * [taylor]: Taking taylor expansion of PI in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of NAN in n 0.346 * [taylor]: Taking taylor expansion of 0 in n 0.349 * [taylor]: Taking taylor expansion of 0 in n 0.350 * * * [progress]: simplifying candidates 0.352 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 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0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 0.364 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 0.380 * * [simplify]: iteration 1 : 4233 enodes (cost 1364 ) 0.444 * * [simplify]: iteration 2 : 5001 enodes (cost 1351 ) 0.451 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) 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(- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) 0.452 * * * [progress]: adding candidates to table 1.602 * * [progress]: iteration 2 / 4 1.602 * * * [progress]: picking best candidate 1.653 * * * * [pick]: Picked # 1.653 * * * [progress]: localizing error 1.671 * * * [progress]: generating rewritten candidates 1.671 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.677 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.684 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.688 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.696 * * * [progress]: generating series expansions 1.696 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.696 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.696 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.696 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.696 * [taylor]: Taking taylor expansion of 0.5 in n 1.696 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.696 * [taylor]: Taking taylor expansion of 2.0 in n 1.696 * [taylor]: Taking taylor expansion of (* n PI) in n 1.696 * [taylor]: Taking taylor expansion of n in n 1.696 * [taylor]: Taking taylor expansion of PI in n 1.697 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.697 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.697 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.697 * [taylor]: Taking taylor expansion of 0.5 in n 1.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.697 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.697 * [taylor]: Taking taylor expansion of 2.0 in n 1.697 * [taylor]: Taking taylor expansion of (* n PI) in n 1.697 * [taylor]: Taking taylor expansion of n in n 1.697 * [taylor]: Taking taylor expansion of PI in n 1.705 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.705 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.705 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.705 * [taylor]: Taking taylor expansion of 0.5 in n 1.705 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.705 * [taylor]: Taking taylor expansion of 2.0 in n 1.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.705 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.705 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.705 * [taylor]: Taking taylor expansion of 0.5 in n 1.705 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.705 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.705 * [taylor]: Taking taylor expansion of 2.0 in n 1.705 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.705 * [taylor]: Taking taylor expansion of PI in n 1.705 * [taylor]: Taking taylor expansion of n in n 1.714 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.714 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.714 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.714 * [taylor]: Taking taylor expansion of 0.5 in n 1.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.714 * [taylor]: Taking taylor expansion of -2.0 in n 1.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.714 * [taylor]: Taking taylor expansion of PI in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.714 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.714 * [taylor]: Taking taylor expansion of 0.5 in n 1.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.714 * [taylor]: Taking taylor expansion of -2.0 in n 1.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.714 * [taylor]: Taking taylor expansion of PI in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.722 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.722 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.722 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.722 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.722 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.722 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.722 * [taylor]: Taking taylor expansion of 0.5 in k 1.723 * [taylor]: Taking taylor expansion of k in k 1.723 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.723 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.723 * [taylor]: Taking taylor expansion of 2.0 in k 1.723 * [taylor]: Taking taylor expansion of (* n PI) in k 1.723 * [taylor]: Taking taylor expansion of n in k 1.723 * [taylor]: Taking taylor expansion of PI in k 1.723 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.723 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.723 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.723 * [taylor]: Taking taylor expansion of 0.5 in n 1.723 * [taylor]: Taking taylor expansion of k in n 1.723 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.723 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.723 * [taylor]: Taking taylor expansion of 2.0 in n 1.723 * [taylor]: Taking taylor expansion of (* n PI) in n 1.723 * [taylor]: Taking taylor expansion of n in n 1.723 * [taylor]: Taking taylor expansion of PI in n 1.723 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.723 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.724 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.724 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.724 * [taylor]: Taking taylor expansion of 0.5 in n 1.724 * [taylor]: Taking taylor expansion of k in n 1.724 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.724 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.724 * [taylor]: Taking taylor expansion of 2.0 in n 1.724 * [taylor]: Taking taylor expansion of (* n PI) in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.724 * [taylor]: Taking taylor expansion of PI in n 1.724 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.724 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.724 * [taylor]: Taking taylor expansion of 0.5 in k 1.724 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.724 * [taylor]: Taking taylor expansion of k in k 1.724 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.724 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.724 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.724 * [taylor]: Taking taylor expansion of 2.0 in k 1.724 * [taylor]: Taking taylor expansion of PI in k 1.724 * [taylor]: Taking taylor expansion of (log n) in k 1.724 * [taylor]: Taking taylor expansion of n in k 1.725 * [taylor]: Taking taylor expansion of 0 in k 1.726 * [taylor]: Taking taylor expansion of 0 in k 1.728 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.728 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.728 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.728 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.728 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.728 * [taylor]: Taking taylor expansion of 0.5 in k 1.728 * [taylor]: Taking taylor expansion of k in k 1.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.728 * [taylor]: Taking taylor expansion of 2.0 in k 1.728 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.728 * [taylor]: Taking taylor expansion of PI in k 1.728 * [taylor]: Taking taylor expansion of n in k 1.728 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.728 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.728 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.728 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.728 * [taylor]: Taking taylor expansion of 0.5 in n 1.728 * [taylor]: Taking taylor expansion of k in n 1.728 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.728 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.728 * [taylor]: Taking taylor expansion of 2.0 in n 1.728 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.728 * [taylor]: Taking taylor expansion of PI in n 1.728 * [taylor]: Taking taylor expansion of n in n 1.729 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.729 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.729 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.729 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.729 * [taylor]: Taking taylor expansion of 0.5 in n 1.729 * [taylor]: Taking taylor expansion of k in n 1.729 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.729 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.729 * [taylor]: Taking taylor expansion of 2.0 in n 1.729 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.729 * [taylor]: Taking taylor expansion of PI in n 1.729 * [taylor]: Taking taylor expansion of n in n 1.729 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.729 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.729 * [taylor]: Taking taylor expansion of 0.5 in k 1.729 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.729 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.729 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.729 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.729 * [taylor]: Taking taylor expansion of 2.0 in k 1.729 * [taylor]: Taking taylor expansion of PI in k 1.729 * [taylor]: Taking taylor expansion of (log n) in k 1.729 * [taylor]: Taking taylor expansion of n in k 1.729 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of 0 in k 1.731 * [taylor]: Taking taylor expansion of 0 in k 1.732 * [taylor]: Taking taylor expansion of 0 in k 1.732 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.732 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.732 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.732 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.732 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.732 * [taylor]: Taking taylor expansion of -0.5 in k 1.732 * [taylor]: Taking taylor expansion of k in k 1.732 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.732 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.732 * [taylor]: Taking taylor expansion of -2.0 in k 1.732 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.732 * [taylor]: Taking taylor expansion of PI in k 1.732 * [taylor]: Taking taylor expansion of n in k 1.733 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.733 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.733 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.733 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.733 * [taylor]: Taking taylor expansion of -0.5 in n 1.733 * [taylor]: Taking taylor expansion of k in n 1.733 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.733 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.733 * [taylor]: Taking taylor expansion of -2.0 in n 1.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.733 * [taylor]: Taking taylor expansion of PI in n 1.733 * [taylor]: Taking taylor expansion of n in n 1.733 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.733 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.733 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.733 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.733 * [taylor]: Taking taylor expansion of -0.5 in n 1.733 * [taylor]: Taking taylor expansion of k in n 1.733 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.733 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.733 * [taylor]: Taking taylor expansion of -2.0 in n 1.733 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.733 * [taylor]: Taking taylor expansion of PI in n 1.733 * [taylor]: Taking taylor expansion of n in n 1.734 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.734 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.734 * [taylor]: Taking taylor expansion of -0.5 in k 1.734 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.734 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.734 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.734 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.734 * [taylor]: Taking taylor expansion of -2.0 in k 1.734 * [taylor]: Taking taylor expansion of PI in k 1.734 * [taylor]: Taking taylor expansion of (log n) in k 1.734 * [taylor]: Taking taylor expansion of n in k 1.734 * [taylor]: Taking taylor expansion of k in k 1.735 * [taylor]: Taking taylor expansion of 0 in k 1.735 * [taylor]: Taking taylor expansion of 0 in k 1.739 * [taylor]: Taking taylor expansion of 0 in k 1.739 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.739 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.739 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.739 * [taylor]: Taking taylor expansion of 2.0 in n 1.739 * [taylor]: Taking taylor expansion of (* n PI) in n 1.739 * [taylor]: Taking taylor expansion of n in n 1.739 * [taylor]: Taking taylor expansion of PI in n 1.739 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.739 * [taylor]: Taking taylor expansion of 2.0 in n 1.739 * [taylor]: Taking taylor expansion of (* n PI) in n 1.739 * [taylor]: Taking taylor expansion of n in n 1.739 * [taylor]: Taking taylor expansion of PI in n 1.740 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.740 * [taylor]: Taking taylor expansion of 2.0 in n 1.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.740 * [taylor]: Taking taylor expansion of PI in n 1.740 * [taylor]: Taking taylor expansion of n in n 1.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.740 * [taylor]: Taking taylor expansion of 2.0 in n 1.740 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.740 * [taylor]: Taking taylor expansion of PI in n 1.740 * [taylor]: Taking taylor expansion of n in n 1.741 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.741 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.741 * [taylor]: Taking taylor expansion of -2.0 in n 1.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.741 * [taylor]: Taking taylor expansion of PI in n 1.741 * [taylor]: Taking taylor expansion of n in n 1.741 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.741 * [taylor]: Taking taylor expansion of -2.0 in n 1.741 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.741 * [taylor]: Taking taylor expansion of PI in n 1.741 * [taylor]: Taking taylor expansion of n in n 1.742 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.742 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.742 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.742 * [taylor]: Taking taylor expansion of 2.0 in n 1.742 * [taylor]: Taking taylor expansion of (* n PI) in n 1.742 * [taylor]: Taking taylor expansion of n in n 1.742 * [taylor]: Taking taylor expansion of PI in n 1.742 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.742 * [taylor]: Taking taylor expansion of 2.0 in n 1.742 * [taylor]: Taking taylor expansion of (* n PI) in n 1.742 * [taylor]: Taking taylor expansion of n in n 1.742 * [taylor]: Taking taylor expansion of PI in n 1.743 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.743 * [taylor]: Taking taylor expansion of 2.0 in n 1.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.743 * [taylor]: Taking taylor expansion of PI in n 1.743 * [taylor]: Taking taylor expansion of n in n 1.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.743 * [taylor]: Taking taylor expansion of 2.0 in n 1.743 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.743 * [taylor]: Taking taylor expansion of PI in n 1.743 * [taylor]: Taking taylor expansion of n in n 1.744 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.744 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.744 * [taylor]: Taking taylor expansion of -2.0 in n 1.744 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.744 * [taylor]: Taking taylor expansion of PI in n 1.744 * [taylor]: Taking taylor expansion of n in n 1.744 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.744 * [taylor]: Taking taylor expansion of -2.0 in n 1.745 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.745 * [taylor]: Taking taylor expansion of PI in n 1.745 * [taylor]: Taking taylor expansion of n in n 1.745 * * * [progress]: simplifying candidates 1.747 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.752 * * [simplify]: iteration 0 : 453 enodes (cost 528 ) 1.759 * * [simplify]: iteration 1 : 1774 enodes (cost 479 ) 1.791 * * [simplify]: iteration 2 : 5002 enodes (cost 473 ) 1.794 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ (+ 1 (+ (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (* (* 0.5 k) (log (* (* 2.0 PI) n)))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.795 * * * [progress]: adding candidates to table 2.287 * * [progress]: iteration 3 / 4 2.287 * * * [progress]: picking best candidate 2.329 * * * * [pick]: Picked # 2.330 * * * [progress]: localizing error 2.347 * * * [progress]: generating rewritten candidates 2.347 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.353 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.359 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.363 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.371 * * * [progress]: generating series expansions 2.371 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.371 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.371 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.372 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.372 * [taylor]: Taking taylor expansion of 0.5 in n 2.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.372 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.372 * [taylor]: Taking taylor expansion of 2.0 in n 2.372 * [taylor]: Taking taylor expansion of (* n PI) in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.372 * [taylor]: Taking taylor expansion of PI in n 2.372 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.372 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.372 * [taylor]: Taking taylor expansion of 0.5 in n 2.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.372 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.372 * [taylor]: Taking taylor expansion of 2.0 in n 2.372 * [taylor]: Taking taylor expansion of (* n PI) in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.372 * [taylor]: Taking taylor expansion of PI in n 2.382 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.382 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.382 * [taylor]: Taking taylor expansion of 0.5 in n 2.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.382 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.382 * [taylor]: Taking taylor expansion of 2.0 in n 2.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.382 * [taylor]: Taking taylor expansion of PI in n 2.382 * [taylor]: Taking taylor expansion of n in n 2.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.382 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.382 * [taylor]: Taking taylor expansion of 0.5 in n 2.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.382 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.382 * [taylor]: Taking taylor expansion of 2.0 in n 2.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.382 * [taylor]: Taking taylor expansion of PI in n 2.382 * [taylor]: Taking taylor expansion of n in n 2.390 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.390 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.390 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.390 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.390 * [taylor]: Taking taylor expansion of 0.5 in n 2.390 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.390 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.390 * [taylor]: Taking taylor expansion of -2.0 in n 2.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.390 * [taylor]: Taking taylor expansion of PI in n 2.390 * [taylor]: Taking taylor expansion of n in n 2.390 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.390 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.390 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.390 * [taylor]: Taking taylor expansion of 0.5 in n 2.390 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.390 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.390 * [taylor]: Taking taylor expansion of -2.0 in n 2.390 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.390 * [taylor]: Taking taylor expansion of PI in n 2.390 * [taylor]: Taking taylor expansion of n in n 2.398 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.398 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 2.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.398 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.398 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.398 * [taylor]: Taking taylor expansion of 0.5 in k 2.398 * [taylor]: Taking taylor expansion of k in k 2.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.398 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.398 * [taylor]: Taking taylor expansion of 2.0 in k 2.398 * [taylor]: Taking taylor expansion of (* n PI) in k 2.398 * [taylor]: Taking taylor expansion of n in k 2.398 * [taylor]: Taking taylor expansion of PI in k 2.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.399 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.399 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.399 * [taylor]: Taking taylor expansion of 0.5 in n 2.399 * [taylor]: Taking taylor expansion of k in n 2.399 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.399 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.399 * [taylor]: Taking taylor expansion of 2.0 in n 2.399 * [taylor]: Taking taylor expansion of (* n PI) in n 2.399 * [taylor]: Taking taylor expansion of n in n 2.399 * [taylor]: Taking taylor expansion of PI in n 2.399 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.399 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.399 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.399 * [taylor]: Taking taylor expansion of 0.5 in n 2.399 * [taylor]: Taking taylor expansion of k in n 2.399 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.399 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.399 * [taylor]: Taking taylor expansion of 2.0 in n 2.399 * [taylor]: Taking taylor expansion of (* n PI) in n 2.399 * [taylor]: Taking taylor expansion of n in n 2.399 * [taylor]: Taking taylor expansion of PI in n 2.400 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.400 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.400 * [taylor]: Taking taylor expansion of 0.5 in k 2.400 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.400 * [taylor]: Taking taylor expansion of k in k 2.400 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.400 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.400 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.400 * [taylor]: Taking taylor expansion of 2.0 in k 2.400 * [taylor]: Taking taylor expansion of PI in k 2.400 * [taylor]: Taking taylor expansion of (log n) in k 2.400 * [taylor]: Taking taylor expansion of n in k 2.401 * [taylor]: Taking taylor expansion of 0 in k 2.402 * [taylor]: Taking taylor expansion of 0 in k 2.403 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 2.403 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.403 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.403 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.403 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.403 * [taylor]: Taking taylor expansion of 0.5 in k 2.403 * [taylor]: Taking taylor expansion of k in k 2.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.404 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.404 * [taylor]: Taking taylor expansion of 2.0 in k 2.404 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.404 * [taylor]: Taking taylor expansion of PI in k 2.404 * [taylor]: Taking taylor expansion of n in k 2.404 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.404 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.404 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.404 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.404 * [taylor]: Taking taylor expansion of 0.5 in n 2.404 * [taylor]: Taking taylor expansion of k in n 2.404 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.404 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.404 * [taylor]: Taking taylor expansion of 2.0 in n 2.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.404 * [taylor]: Taking taylor expansion of PI in n 2.404 * [taylor]: Taking taylor expansion of n in n 2.404 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.404 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.404 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.404 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.404 * [taylor]: Taking taylor expansion of 0.5 in n 2.404 * [taylor]: Taking taylor expansion of k in n 2.404 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.404 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.404 * [taylor]: Taking taylor expansion of 2.0 in n 2.404 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.404 * [taylor]: Taking taylor expansion of PI in n 2.404 * [taylor]: Taking taylor expansion of n in n 2.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.405 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.405 * [taylor]: Taking taylor expansion of 0.5 in k 2.405 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.405 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.405 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.405 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.405 * [taylor]: Taking taylor expansion of 2.0 in k 2.405 * [taylor]: Taking taylor expansion of PI in k 2.405 * [taylor]: Taking taylor expansion of (log n) in k 2.405 * [taylor]: Taking taylor expansion of n in k 2.405 * [taylor]: Taking taylor expansion of k in k 2.406 * [taylor]: Taking taylor expansion of 0 in k 2.406 * [taylor]: Taking taylor expansion of 0 in k 2.407 * [taylor]: Taking taylor expansion of 0 in k 2.408 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 2.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.408 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.408 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.408 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.408 * [taylor]: Taking taylor expansion of -0.5 in k 2.408 * [taylor]: Taking taylor expansion of k in k 2.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.408 * [taylor]: Taking taylor expansion of -2.0 in k 2.408 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.408 * [taylor]: Taking taylor expansion of PI in k 2.408 * [taylor]: Taking taylor expansion of n in k 2.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.408 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.408 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.408 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.408 * [taylor]: Taking taylor expansion of -0.5 in n 2.408 * [taylor]: Taking taylor expansion of k in n 2.408 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.408 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.408 * [taylor]: Taking taylor expansion of -2.0 in n 2.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.408 * [taylor]: Taking taylor expansion of PI in n 2.408 * [taylor]: Taking taylor expansion of n in n 2.408 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.409 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.409 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.409 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.409 * [taylor]: Taking taylor expansion of -0.5 in n 2.409 * [taylor]: Taking taylor expansion of k in n 2.409 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.409 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.409 * [taylor]: Taking taylor expansion of -2.0 in n 2.409 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.409 * [taylor]: Taking taylor expansion of PI in n 2.409 * [taylor]: Taking taylor expansion of n in n 2.409 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.409 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.409 * [taylor]: Taking taylor expansion of -0.5 in k 2.409 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.409 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.409 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.409 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.409 * [taylor]: Taking taylor expansion of -2.0 in k 2.409 * [taylor]: Taking taylor expansion of PI in k 2.409 * [taylor]: Taking taylor expansion of (log n) in k 2.409 * [taylor]: Taking taylor expansion of n in k 2.409 * [taylor]: Taking taylor expansion of k in k 2.410 * [taylor]: Taking taylor expansion of 0 in k 2.411 * [taylor]: Taking taylor expansion of 0 in k 2.412 * [taylor]: Taking taylor expansion of 0 in k 2.412 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.412 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.412 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.412 * [taylor]: Taking taylor expansion of 1.0 in k 2.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.412 * [taylor]: Taking taylor expansion of k in k 2.412 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.412 * [taylor]: Taking taylor expansion of 1.0 in k 2.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.412 * [taylor]: Taking taylor expansion of k in k 2.413 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.413 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.413 * [taylor]: Taking taylor expansion of 1.0 in k 2.413 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.413 * [taylor]: Taking taylor expansion of k in k 2.413 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.413 * [taylor]: Taking taylor expansion of 1.0 in k 2.413 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.413 * [taylor]: Taking taylor expansion of k in k 2.415 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.415 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.415 * [taylor]: Taking taylor expansion of 1.0 in k 2.415 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.415 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.415 * [taylor]: Taking taylor expansion of -1 in k 2.415 * [taylor]: Taking taylor expansion of k in k 2.415 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.415 * [taylor]: Taking taylor expansion of 1.0 in k 2.415 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.415 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.415 * [taylor]: Taking taylor expansion of -1 in k 2.415 * [taylor]: Taking taylor expansion of k in k 2.420 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 2.420 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.420 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.420 * [taylor]: Taking taylor expansion of 2.0 in n 2.420 * [taylor]: Taking taylor expansion of (* n PI) in n 2.420 * [taylor]: Taking taylor expansion of n in n 2.420 * [taylor]: Taking taylor expansion of PI in n 2.420 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.420 * [taylor]: Taking taylor expansion of 2.0 in n 2.420 * [taylor]: Taking taylor expansion of (* n PI) in n 2.420 * [taylor]: Taking taylor expansion of n in n 2.420 * [taylor]: Taking taylor expansion of PI in n 2.421 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.421 * [taylor]: Taking taylor expansion of 2.0 in n 2.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.421 * [taylor]: Taking taylor expansion of PI in n 2.421 * [taylor]: Taking taylor expansion of n in n 2.421 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.421 * [taylor]: Taking taylor expansion of 2.0 in n 2.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.421 * [taylor]: Taking taylor expansion of PI in n 2.421 * [taylor]: Taking taylor expansion of n in n 2.422 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.422 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.422 * [taylor]: Taking taylor expansion of -2.0 in n 2.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.422 * [taylor]: Taking taylor expansion of PI in n 2.422 * [taylor]: Taking taylor expansion of n in n 2.422 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.422 * [taylor]: Taking taylor expansion of -2.0 in n 2.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.422 * [taylor]: Taking taylor expansion of PI in n 2.422 * [taylor]: Taking taylor expansion of n in n 2.423 * * * [progress]: simplifying candidates 2.425 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 2.431 * * [simplify]: iteration 0 : 612 enodes (cost 691 ) 2.440 * * [simplify]: iteration 1 : 2480 enodes (cost 645 ) 2.477 * * [simplify]: iteration 2 : 5001 enodes (cost 631 ) 2.481 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ (+ 1 (* (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)))) (+ (* 0.5 (+ (* k (log n)) (* k (log (* 2.0 PI))))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.482 * * * [progress]: adding candidates to table 3.215 * * [progress]: iteration 4 / 4 3.215 * * * [progress]: picking best candidate 3.254 * * * * [pick]: Picked # 3.254 * * * [progress]: localizing error 3.270 * * * [progress]: generating rewritten candidates 3.270 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 3.277 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.286 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 3.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.311 * * * [progress]: generating series expansions 3.311 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 3.311 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 3.311 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.311 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.311 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.311 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.311 * [taylor]: Taking taylor expansion of 0.5 in k 3.311 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.311 * [taylor]: Taking taylor expansion of 1.0 in k 3.311 * [taylor]: Taking taylor expansion of k in k 3.311 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.311 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.311 * [taylor]: Taking taylor expansion of 2.0 in k 3.311 * [taylor]: Taking taylor expansion of PI in k 3.311 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.311 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.311 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.311 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.311 * [taylor]: Taking taylor expansion of 0.5 in k 3.311 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.311 * [taylor]: Taking taylor expansion of 1.0 in k 3.311 * [taylor]: Taking taylor expansion of k in k 3.311 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.311 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.311 * [taylor]: Taking taylor expansion of 2.0 in k 3.311 * [taylor]: Taking taylor expansion of PI in k 3.314 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 3.314 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.314 * [taylor]: Taking taylor expansion of 0.5 in k 3.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.314 * [taylor]: Taking taylor expansion of 1.0 in k 3.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.314 * [taylor]: Taking taylor expansion of k in k 3.314 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.314 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.314 * [taylor]: Taking taylor expansion of 2.0 in k 3.314 * [taylor]: Taking taylor expansion of PI in k 3.314 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.314 * [taylor]: Taking taylor expansion of 0.5 in k 3.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.314 * [taylor]: Taking taylor expansion of 1.0 in k 3.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.314 * [taylor]: Taking taylor expansion of k in k 3.314 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.314 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.314 * [taylor]: Taking taylor expansion of 2.0 in k 3.314 * [taylor]: Taking taylor expansion of PI in k 3.315 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 3.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.315 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.315 * [taylor]: Taking taylor expansion of 0.5 in k 3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.315 * [taylor]: Taking taylor expansion of k in k 3.315 * [taylor]: Taking taylor expansion of 1.0 in k 3.315 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.315 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.315 * [taylor]: Taking taylor expansion of 2.0 in k 3.315 * [taylor]: Taking taylor expansion of PI in k 3.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.315 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.315 * [taylor]: Taking taylor expansion of 0.5 in k 3.315 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.315 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.315 * [taylor]: Taking taylor expansion of k in k 3.315 * [taylor]: Taking taylor expansion of 1.0 in k 3.315 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.315 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.315 * [taylor]: Taking taylor expansion of 2.0 in k 3.315 * [taylor]: Taking taylor expansion of PI in k 3.316 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.316 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 3.316 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 3.316 * [taylor]: Taking taylor expansion of 1.0 in k 3.316 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 3.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.316 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.316 * [taylor]: Taking taylor expansion of k in k 3.316 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.316 * [taylor]: Taking taylor expansion of 0.5 in k 3.316 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.316 * [taylor]: Taking taylor expansion of 1.0 in k 3.316 * [taylor]: Taking taylor expansion of k in k 3.316 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.316 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.316 * [taylor]: Taking taylor expansion of 2.0 in k 3.316 * [taylor]: Taking taylor expansion of PI in k 3.316 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 3.316 * [taylor]: Taking taylor expansion of 1.0 in k 3.316 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 3.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.316 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.316 * [taylor]: Taking taylor expansion of k in k 3.317 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.317 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.317 * [taylor]: Taking taylor expansion of 0.5 in k 3.317 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.317 * [taylor]: Taking taylor expansion of 1.0 in k 3.317 * [taylor]: Taking taylor expansion of k in k 3.317 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.317 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.317 * [taylor]: Taking taylor expansion of 2.0 in k 3.317 * [taylor]: Taking taylor expansion of PI in k 3.327 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 3.327 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.327 * [taylor]: Taking taylor expansion of 1.0 in k 3.327 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.327 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.327 * [taylor]: Taking taylor expansion of k in k 3.327 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.327 * [taylor]: Taking taylor expansion of 0.5 in k 3.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.327 * [taylor]: Taking taylor expansion of 1.0 in k 3.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.327 * [taylor]: Taking taylor expansion of k in k 3.327 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.327 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.327 * [taylor]: Taking taylor expansion of 2.0 in k 3.327 * [taylor]: Taking taylor expansion of PI in k 3.327 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.327 * [taylor]: Taking taylor expansion of 1.0 in k 3.327 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.327 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.327 * [taylor]: Taking taylor expansion of k in k 3.327 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.327 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.327 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.327 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.327 * [taylor]: Taking taylor expansion of 0.5 in k 3.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.327 * [taylor]: Taking taylor expansion of 1.0 in k 3.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.327 * [taylor]: Taking taylor expansion of k in k 3.327 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.327 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.327 * [taylor]: Taking taylor expansion of 2.0 in k 3.327 * [taylor]: Taking taylor expansion of PI in k 3.330 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 3.330 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.331 * [taylor]: Taking taylor expansion of 1.0 in k 3.331 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.331 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.331 * [taylor]: Taking taylor expansion of 0.5 in k 3.331 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.331 * [taylor]: Taking taylor expansion of k in k 3.331 * [taylor]: Taking taylor expansion of 1.0 in k 3.331 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.331 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.331 * [taylor]: Taking taylor expansion of 2.0 in k 3.331 * [taylor]: Taking taylor expansion of PI in k 3.331 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.331 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.331 * [taylor]: Taking taylor expansion of -1 in k 3.331 * [taylor]: Taking taylor expansion of k in k 3.331 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.331 * [taylor]: Taking taylor expansion of 1.0 in k 3.331 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.331 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.331 * [taylor]: Taking taylor expansion of 0.5 in k 3.331 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.331 * [taylor]: Taking taylor expansion of k in k 3.331 * [taylor]: Taking taylor expansion of 1.0 in k 3.331 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.331 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.331 * [taylor]: Taking taylor expansion of 2.0 in k 3.331 * [taylor]: Taking taylor expansion of PI in k 3.332 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.332 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.332 * [taylor]: Taking taylor expansion of -1 in k 3.332 * [taylor]: Taking taylor expansion of k in k 3.340 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 3.340 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.340 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.340 * [taylor]: Taking taylor expansion of 1.0 in k 3.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.340 * [taylor]: Taking taylor expansion of k in k 3.340 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.340 * [taylor]: Taking taylor expansion of 1.0 in k 3.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.340 * [taylor]: Taking taylor expansion of k in k 3.341 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.342 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.342 * [taylor]: Taking taylor expansion of 1.0 in k 3.342 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.342 * [taylor]: Taking taylor expansion of k in k 3.342 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.342 * [taylor]: Taking taylor expansion of 1.0 in k 3.342 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.342 * [taylor]: Taking taylor expansion of k in k 3.343 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.343 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.343 * [taylor]: Taking taylor expansion of 1.0 in k 3.343 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.343 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.343 * [taylor]: Taking taylor expansion of -1 in k 3.343 * [taylor]: Taking taylor expansion of k in k 3.343 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.343 * [taylor]: Taking taylor expansion of 1.0 in k 3.343 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.343 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.343 * [taylor]: Taking taylor expansion of -1 in k 3.343 * [taylor]: Taking taylor expansion of k in k 3.348 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.348 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 3.348 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 3.348 * [taylor]: Taking taylor expansion of 1.0 in n 3.348 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 3.348 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.348 * [taylor]: Taking taylor expansion of k in n 3.349 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 3.349 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 3.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 3.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 3.349 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.349 * [taylor]: Taking taylor expansion of 0.5 in n 3.349 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.349 * [taylor]: Taking taylor expansion of 1.0 in n 3.349 * [taylor]: Taking taylor expansion of k in n 3.349 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.349 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.349 * [taylor]: Taking taylor expansion of 2.0 in n 3.349 * [taylor]: Taking taylor expansion of PI in n 3.349 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 3.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 3.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 3.349 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.349 * [taylor]: Taking taylor expansion of 0.5 in n 3.349 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.349 * [taylor]: Taking taylor expansion of 1.0 in n 3.349 * [taylor]: Taking taylor expansion of k in n 3.349 * [taylor]: Taking taylor expansion of (log n) in n 3.349 * [taylor]: Taking taylor expansion of n in n 3.349 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 3.349 * [taylor]: Taking taylor expansion of 1.0 in k 3.349 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 3.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.349 * [taylor]: Taking taylor expansion of k in k 3.350 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 3.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.350 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.350 * [taylor]: Taking taylor expansion of 0.5 in k 3.350 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.350 * [taylor]: Taking taylor expansion of 1.0 in k 3.350 * [taylor]: Taking taylor expansion of k in k 3.350 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.350 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.350 * [taylor]: Taking taylor expansion of 2.0 in k 3.350 * [taylor]: Taking taylor expansion of PI in k 3.350 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.350 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.350 * [taylor]: Taking taylor expansion of 0.5 in k 3.350 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.350 * [taylor]: Taking taylor expansion of 1.0 in k 3.350 * [taylor]: Taking taylor expansion of k in k 3.350 * [taylor]: Taking taylor expansion of (log n) in k 3.350 * [taylor]: Taking taylor expansion of n in k 3.350 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 3.350 * [taylor]: Taking taylor expansion of 1.0 in k 3.350 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 3.350 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.350 * [taylor]: Taking taylor expansion of k in k 3.350 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 3.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 3.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 3.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 3.350 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.350 * [taylor]: Taking taylor expansion of 0.5 in k 3.350 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.350 * [taylor]: Taking taylor expansion of 1.0 in k 3.350 * [taylor]: Taking taylor expansion of k in k 3.350 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.350 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.350 * [taylor]: Taking taylor expansion of 2.0 in k 3.350 * [taylor]: Taking taylor expansion of PI in k 3.351 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 3.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 3.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 3.351 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.351 * [taylor]: Taking taylor expansion of 0.5 in k 3.351 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.351 * [taylor]: Taking taylor expansion of 1.0 in k 3.351 * [taylor]: Taking taylor expansion of k in k 3.351 * [taylor]: Taking taylor expansion of (log n) in k 3.351 * [taylor]: Taking taylor expansion of n in k 3.351 * [taylor]: Taking taylor expansion of 0 in n 3.353 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.353 * [taylor]: Taking taylor expansion of 1.0 in n 3.353 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.353 * [taylor]: Taking taylor expansion of NAN in n 3.353 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.353 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.353 * [taylor]: Taking taylor expansion of 0.5 in n 3.353 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.353 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.353 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.353 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.353 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.353 * [taylor]: Taking taylor expansion of 1.0 in n 3.353 * [taylor]: Taking taylor expansion of (log PI) in n 3.353 * [taylor]: Taking taylor expansion of PI in n 3.354 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.354 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.354 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.354 * [taylor]: Taking taylor expansion of 1.0 in n 3.354 * [taylor]: Taking taylor expansion of (log n) in n 3.354 * [taylor]: Taking taylor expansion of n in n 3.354 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.354 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.354 * [taylor]: Taking taylor expansion of 1.0 in n 3.354 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.354 * [taylor]: Taking taylor expansion of 2.0 in n 3.361 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (+ (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))))) in n 3.361 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 3.361 * [taylor]: Taking taylor expansion of 1.0 in n 3.361 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 3.361 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.361 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.361 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.361 * [taylor]: Taking taylor expansion of 0.5 in n 3.361 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.361 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.361 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.361 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.361 * [taylor]: Taking taylor expansion of 1.0 in n 3.361 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.361 * [taylor]: Taking taylor expansion of 2.0 in n 3.361 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.361 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.361 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.361 * [taylor]: Taking taylor expansion of 1.0 in n 3.361 * [taylor]: Taking taylor expansion of (log n) in n 3.361 * [taylor]: Taking taylor expansion of n in n 3.361 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.361 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.361 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.361 * [taylor]: Taking taylor expansion of 1.0 in n 3.361 * [taylor]: Taking taylor expansion of (log PI) in n 3.361 * [taylor]: Taking taylor expansion of PI in n 3.362 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.362 * [taylor]: Taking taylor expansion of NAN in n 3.362 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))))) in n 3.362 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.362 * [taylor]: Taking taylor expansion of 0.5 in n 3.362 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.362 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) NAN) in n 3.362 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.362 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.362 * [taylor]: Taking taylor expansion of 2.0 in n 3.362 * [taylor]: Taking taylor expansion of PI in n 3.362 * [taylor]: Taking taylor expansion of NAN in n 3.362 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.362 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.362 * [taylor]: Taking taylor expansion of 0.5 in n 3.363 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.363 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.363 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.363 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.363 * [taylor]: Taking taylor expansion of 1.0 in n 3.363 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.363 * [taylor]: Taking taylor expansion of 2.0 in n 3.363 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.363 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.363 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.363 * [taylor]: Taking taylor expansion of 1.0 in n 3.363 * [taylor]: Taking taylor expansion of (log n) in n 3.363 * [taylor]: Taking taylor expansion of n in n 3.363 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.363 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.363 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.363 * [taylor]: Taking taylor expansion of 1.0 in n 3.363 * [taylor]: Taking taylor expansion of (log PI) in n 3.363 * [taylor]: Taking taylor expansion of PI in n 3.364 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n)))) in n 3.364 * [taylor]: Taking taylor expansion of 0.5 in n 3.364 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* NAN (log n))) in n 3.364 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 3.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 3.364 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 3.364 * [taylor]: Taking taylor expansion of 0.5 in n 3.364 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 3.364 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 3.364 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.364 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.364 * [taylor]: Taking taylor expansion of 1.0 in n 3.364 * [taylor]: Taking taylor expansion of (log PI) in n 3.364 * [taylor]: Taking taylor expansion of PI in n 3.364 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 3.364 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.364 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.364 * [taylor]: Taking taylor expansion of 1.0 in n 3.364 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.364 * [taylor]: Taking taylor expansion of 2.0 in n 3.364 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.364 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.364 * [taylor]: Taking taylor expansion of 1.0 in n 3.364 * [taylor]: Taking taylor expansion of (log n) in n 3.364 * [taylor]: Taking taylor expansion of n in n 3.365 * [taylor]: Taking taylor expansion of (* NAN (log n)) in n 3.365 * [taylor]: Taking taylor expansion of NAN in n 3.365 * [taylor]: Taking taylor expansion of (log n) in n 3.365 * [taylor]: Taking taylor expansion of n in n 3.388 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 3.388 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))))) in n 3.388 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN))) in n 3.388 * [taylor]: Taking taylor expansion of 0.125 in n 3.388 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) NAN)) in n 3.388 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.388 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.389 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.389 * [taylor]: Taking taylor expansion of 0.5 in n 3.389 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.389 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.389 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.389 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.389 * [taylor]: Taking taylor expansion of 1.0 in n 3.389 * [taylor]: Taking taylor expansion of (log PI) in n 3.389 * [taylor]: Taking taylor expansion of PI in n 3.389 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.389 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.389 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.389 * [taylor]: Taking taylor expansion of 1.0 in n 3.389 * [taylor]: Taking taylor expansion of (log n) in n 3.389 * [taylor]: Taking taylor expansion of n in n 3.389 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.389 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.389 * [taylor]: Taking taylor expansion of 1.0 in n 3.389 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.389 * [taylor]: Taking taylor expansion of 2.0 in n 3.390 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) NAN) in n 3.390 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 3.390 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.390 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.390 * [taylor]: Taking taylor expansion of 2.0 in n 3.390 * [taylor]: Taking taylor expansion of PI in n 3.390 * [taylor]: Taking taylor expansion of NAN in n 3.390 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))))) in n 3.390 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.390 * [taylor]: Taking taylor expansion of 0.125 in n 3.390 * [taylor]: Taking taylor expansion of (* (* (pow (log n) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.390 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) NAN) in n 3.390 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 3.390 * [taylor]: Taking taylor expansion of (log n) in n 3.390 * [taylor]: Taking taylor expansion of n in n 3.390 * [taylor]: Taking taylor expansion of NAN in n 3.390 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.390 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.390 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.390 * [taylor]: Taking taylor expansion of 0.5 in n 3.390 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.390 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.390 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.390 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.390 * [taylor]: Taking taylor expansion of 1.0 in n 3.390 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.390 * [taylor]: Taking taylor expansion of 2.0 in n 3.391 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.391 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.391 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.391 * [taylor]: Taking taylor expansion of 1.0 in n 3.391 * [taylor]: Taking taylor expansion of (log n) in n 3.391 * [taylor]: Taking taylor expansion of n in n 3.391 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.391 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.391 * [taylor]: Taking taylor expansion of 1.0 in n 3.391 * [taylor]: Taking taylor expansion of (log PI) in n 3.391 * [taylor]: Taking taylor expansion of PI in n 3.392 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 3.392 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.392 * [taylor]: Taking taylor expansion of 0.25 in n 3.392 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (* (log n) NAN)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.392 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (* (log n) NAN)) in n 3.392 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.392 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.392 * [taylor]: Taking taylor expansion of 2.0 in n 3.392 * [taylor]: Taking taylor expansion of PI in n 3.392 * [taylor]: Taking taylor expansion of (* (log n) NAN) in n 3.392 * [taylor]: Taking taylor expansion of (log n) in n 3.392 * [taylor]: Taking taylor expansion of n in n 3.392 * [taylor]: Taking taylor expansion of NAN in n 3.392 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.392 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.392 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.392 * [taylor]: Taking taylor expansion of 0.5 in n 3.392 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.392 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.392 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.392 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.392 * [taylor]: Taking taylor expansion of 1.0 in n 3.392 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.392 * [taylor]: Taking taylor expansion of 2.0 in n 3.392 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.392 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.392 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.392 * [taylor]: Taking taylor expansion of 1.0 in n 3.392 * [taylor]: Taking taylor expansion of (log n) in n 3.392 * [taylor]: Taking taylor expansion of n in n 3.393 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.393 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.393 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.393 * [taylor]: Taking taylor expansion of 1.0 in n 3.393 * [taylor]: Taking taylor expansion of (log PI) in n 3.393 * [taylor]: Taking taylor expansion of PI in n 3.393 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 3.393 * [taylor]: Taking taylor expansion of 1.0 in n 3.393 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 3.393 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.394 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.394 * [taylor]: Taking taylor expansion of 0.5 in n 3.394 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.394 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.394 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.394 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.394 * [taylor]: Taking taylor expansion of 1.0 in n 3.394 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.394 * [taylor]: Taking taylor expansion of 2.0 in n 3.394 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.394 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.394 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.394 * [taylor]: Taking taylor expansion of 1.0 in n 3.394 * [taylor]: Taking taylor expansion of (log n) in n 3.394 * [taylor]: Taking taylor expansion of n in n 3.394 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.394 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.394 * [taylor]: Taking taylor expansion of 1.0 in n 3.394 * [taylor]: Taking taylor expansion of (log PI) in n 3.394 * [taylor]: Taking taylor expansion of PI in n 3.395 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 3.395 * [taylor]: Taking taylor expansion of NAN in n 3.395 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 3.395 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n)))) in n 3.395 * [taylor]: Taking taylor expansion of 0.5 in n 3.395 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (pow NAN 3) (log n))) in n 3.395 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 3.395 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 3.395 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 3.395 * [taylor]: Taking taylor expansion of 0.5 in n 3.395 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 3.395 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 3.395 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.395 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.395 * [taylor]: Taking taylor expansion of 1.0 in n 3.395 * [taylor]: Taking taylor expansion of (log PI) in n 3.395 * [taylor]: Taking taylor expansion of PI in n 3.395 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 3.395 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.395 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.395 * [taylor]: Taking taylor expansion of 1.0 in n 3.395 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.395 * [taylor]: Taking taylor expansion of 2.0 in n 3.395 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.395 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.396 * [taylor]: Taking taylor expansion of 1.0 in n 3.396 * [taylor]: Taking taylor expansion of (log n) in n 3.396 * [taylor]: Taking taylor expansion of n in n 3.396 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (log n)) in n 3.396 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.396 * [taylor]: Taking taylor expansion of NAN in n 3.396 * [taylor]: Taking taylor expansion of (log n) in n 3.396 * [taylor]: Taking taylor expansion of n in n 3.397 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 3.397 * [taylor]: Taking taylor expansion of 0.5 in n 3.397 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 3.397 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow NAN 3)) in n 3.397 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.397 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.397 * [taylor]: Taking taylor expansion of 2.0 in n 3.397 * [taylor]: Taking taylor expansion of PI in n 3.397 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.397 * [taylor]: Taking taylor expansion of NAN in n 3.397 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.397 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.397 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.397 * [taylor]: Taking taylor expansion of 0.5 in n 3.397 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.397 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.397 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.397 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.397 * [taylor]: Taking taylor expansion of 1.0 in n 3.397 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.397 * [taylor]: Taking taylor expansion of 2.0 in n 3.397 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.397 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.397 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.397 * [taylor]: Taking taylor expansion of 1.0 in n 3.397 * [taylor]: Taking taylor expansion of (log n) in n 3.397 * [taylor]: Taking taylor expansion of n in n 3.397 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.397 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.397 * [taylor]: Taking taylor expansion of 1.0 in n 3.397 * [taylor]: Taking taylor expansion of (log PI) in n 3.397 * [taylor]: Taking taylor expansion of PI in n 3.429 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 3.429 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 3.429 * [taylor]: Taking taylor expansion of 1.0 in n 3.429 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.429 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.429 * [taylor]: Taking taylor expansion of k in n 3.429 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.429 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.429 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.429 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.429 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.429 * [taylor]: Taking taylor expansion of 0.5 in n 3.429 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.429 * [taylor]: Taking taylor expansion of 1.0 in n 3.429 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.429 * [taylor]: Taking taylor expansion of k in n 3.429 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.429 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.429 * [taylor]: Taking taylor expansion of n in n 3.430 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 3.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 3.430 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.430 * [taylor]: Taking taylor expansion of 0.5 in n 3.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.430 * [taylor]: Taking taylor expansion of 1.0 in n 3.430 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.430 * [taylor]: Taking taylor expansion of k in n 3.430 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.430 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.430 * [taylor]: Taking taylor expansion of 2.0 in n 3.430 * [taylor]: Taking taylor expansion of PI in n 3.430 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.430 * [taylor]: Taking taylor expansion of 1.0 in k 3.430 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.430 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.430 * [taylor]: Taking taylor expansion of k in k 3.430 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.430 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.430 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.430 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.430 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.430 * [taylor]: Taking taylor expansion of 0.5 in k 3.430 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.430 * [taylor]: Taking taylor expansion of 1.0 in k 3.430 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.430 * [taylor]: Taking taylor expansion of k in k 3.430 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.430 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.430 * [taylor]: Taking taylor expansion of n in k 3.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.431 * [taylor]: Taking taylor expansion of 0.5 in k 3.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.431 * [taylor]: Taking taylor expansion of 1.0 in k 3.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.431 * [taylor]: Taking taylor expansion of k in k 3.431 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.431 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.431 * [taylor]: Taking taylor expansion of 2.0 in k 3.431 * [taylor]: Taking taylor expansion of PI in k 3.431 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.431 * [taylor]: Taking taylor expansion of 1.0 in k 3.431 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.431 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.431 * [taylor]: Taking taylor expansion of k in k 3.431 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.431 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.431 * [taylor]: Taking taylor expansion of 0.5 in k 3.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.431 * [taylor]: Taking taylor expansion of 1.0 in k 3.431 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.431 * [taylor]: Taking taylor expansion of k in k 3.431 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.431 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.431 * [taylor]: Taking taylor expansion of n in k 3.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.432 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.432 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.432 * [taylor]: Taking taylor expansion of 0.5 in k 3.432 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.432 * [taylor]: Taking taylor expansion of 1.0 in k 3.432 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.432 * [taylor]: Taking taylor expansion of k in k 3.432 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.432 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.432 * [taylor]: Taking taylor expansion of 2.0 in k 3.432 * [taylor]: Taking taylor expansion of PI in k 3.432 * [taylor]: Taking taylor expansion of 0 in n 3.433 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN))) in n 3.433 * [taylor]: Taking taylor expansion of 1.0 in n 3.433 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN)) in n 3.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.433 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.433 * [taylor]: Taking taylor expansion of 0.5 in n 3.433 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.433 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.433 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.433 * [taylor]: Taking taylor expansion of n in n 3.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.433 * [taylor]: Taking taylor expansion of 1.0 in n 3.433 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.433 * [taylor]: Taking taylor expansion of k in n 3.433 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) NAN) in n 3.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.433 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.433 * [taylor]: Taking taylor expansion of 0.5 in n 3.433 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.434 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.434 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.434 * [taylor]: Taking taylor expansion of 2.0 in n 3.434 * [taylor]: Taking taylor expansion of PI in n 3.434 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.434 * [taylor]: Taking taylor expansion of 1.0 in n 3.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.434 * [taylor]: Taking taylor expansion of k in n 3.434 * [taylor]: Taking taylor expansion of NAN in n 3.436 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)))) in n 3.436 * [taylor]: Taking taylor expansion of 1.0 in n 3.436 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3))) in n 3.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.436 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.436 * [taylor]: Taking taylor expansion of 0.5 in n 3.436 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.436 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.436 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.436 * [taylor]: Taking taylor expansion of n in n 3.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.436 * [taylor]: Taking taylor expansion of 1.0 in n 3.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.436 * [taylor]: Taking taylor expansion of k in n 3.436 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 3)) in n 3.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.436 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.436 * [taylor]: Taking taylor expansion of 0.5 in n 3.436 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.436 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.436 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.436 * [taylor]: Taking taylor expansion of 2.0 in n 3.436 * [taylor]: Taking taylor expansion of PI in n 3.436 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.436 * [taylor]: Taking taylor expansion of 1.0 in n 3.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.436 * [taylor]: Taking taylor expansion of k in n 3.437 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.437 * [taylor]: Taking taylor expansion of NAN in n 3.440 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)))) in n 3.440 * [taylor]: Taking taylor expansion of 1.0 in n 3.440 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5))) in n 3.440 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.440 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.440 * [taylor]: Taking taylor expansion of 0.5 in n 3.440 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.440 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.440 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.440 * [taylor]: Taking taylor expansion of n in n 3.440 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.440 * [taylor]: Taking taylor expansion of 1.0 in n 3.440 * [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 (* (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) (pow NAN 5)) in n 3.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.441 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.441 * [taylor]: Taking taylor expansion of 0.5 in n 3.441 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.441 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.441 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.441 * [taylor]: Taking taylor expansion of 2.0 in n 3.441 * [taylor]: Taking taylor expansion of PI in n 3.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.441 * [taylor]: Taking taylor expansion of 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 (pow NAN 5) in n 3.441 * [taylor]: Taking taylor expansion of NAN in n 3.444 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 3.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 3.444 * [taylor]: Taking taylor expansion of 1.0 in n 3.444 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 3.444 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.444 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.444 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.444 * [taylor]: Taking taylor expansion of 0.5 in n 3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.444 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.444 * [taylor]: Taking taylor expansion of k in n 3.444 * [taylor]: Taking taylor expansion of 1.0 in n 3.444 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.444 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.444 * [taylor]: Taking taylor expansion of -1 in n 3.444 * [taylor]: Taking taylor expansion of n in n 3.444 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 3.444 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 3.444 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.444 * [taylor]: Taking taylor expansion of 0.5 in n 3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.444 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.444 * [taylor]: Taking taylor expansion of k in n 3.444 * [taylor]: Taking taylor expansion of 1.0 in n 3.445 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.445 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.445 * [taylor]: Taking taylor expansion of 2.0 in n 3.445 * [taylor]: Taking taylor expansion of PI in n 3.445 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.445 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.445 * [taylor]: Taking taylor expansion of -1 in n 3.445 * [taylor]: Taking taylor expansion of k in n 3.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.445 * [taylor]: Taking taylor expansion of 1.0 in k 3.445 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.445 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.445 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.445 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.445 * [taylor]: Taking taylor expansion of 0.5 in k 3.445 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.446 * [taylor]: Taking taylor expansion of k in k 3.446 * [taylor]: Taking taylor expansion of 1.0 in k 3.446 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.446 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.446 * [taylor]: Taking taylor expansion of -1 in k 3.446 * [taylor]: Taking taylor expansion of n in k 3.446 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.446 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.446 * [taylor]: Taking taylor expansion of 0.5 in k 3.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.446 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.446 * [taylor]: Taking taylor expansion of k in k 3.446 * [taylor]: Taking taylor expansion of 1.0 in k 3.446 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.446 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.446 * [taylor]: Taking taylor expansion of 2.0 in k 3.446 * [taylor]: Taking taylor expansion of PI in k 3.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.446 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.446 * [taylor]: Taking taylor expansion of -1 in k 3.446 * [taylor]: Taking taylor expansion of k in k 3.447 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.447 * [taylor]: Taking taylor expansion of 1.0 in k 3.447 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.447 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.447 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.447 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.447 * [taylor]: Taking taylor expansion of 0.5 in k 3.447 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.447 * [taylor]: Taking taylor expansion of k in k 3.447 * [taylor]: Taking taylor expansion of 1.0 in k 3.447 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.447 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.447 * [taylor]: Taking taylor expansion of -1 in k 3.447 * [taylor]: Taking taylor expansion of n in k 3.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.447 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.447 * [taylor]: Taking taylor expansion of 0.5 in k 3.447 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.447 * [taylor]: Taking taylor expansion of k in k 3.447 * [taylor]: Taking taylor expansion of 1.0 in k 3.447 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.447 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.447 * [taylor]: Taking taylor expansion of 2.0 in k 3.447 * [taylor]: Taking taylor expansion of PI in k 3.447 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.447 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.447 * [taylor]: Taking taylor expansion of -1 in k 3.447 * [taylor]: Taking taylor expansion of k in k 3.448 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN)) in n 3.448 * [taylor]: Taking taylor expansion of 1.0 in n 3.448 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) NAN) in n 3.448 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.448 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.448 * [taylor]: Taking taylor expansion of 0.5 in n 3.448 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.448 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.448 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.448 * [taylor]: Taking taylor expansion of k in n 3.448 * [taylor]: Taking taylor expansion of 1.0 in n 3.448 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.448 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.448 * [taylor]: Taking taylor expansion of -1 in n 3.448 * [taylor]: Taking taylor expansion of n in n 3.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.449 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.449 * [taylor]: Taking taylor expansion of 0.5 in n 3.449 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.449 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.449 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.449 * [taylor]: Taking taylor expansion of 2.0 in n 3.449 * [taylor]: Taking taylor expansion of PI in n 3.449 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.449 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.449 * [taylor]: Taking taylor expansion of k in n 3.449 * [taylor]: Taking taylor expansion of 1.0 in n 3.449 * [taylor]: Taking taylor expansion of NAN in n 3.451 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))))) in n 3.451 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))))) in n 3.451 * [taylor]: Taking taylor expansion of 1.0 in n 3.451 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))))) in n 3.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.451 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.451 * [taylor]: Taking taylor expansion of 0.5 in n 3.451 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.451 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.451 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.451 * [taylor]: Taking taylor expansion of 2.0 in n 3.451 * [taylor]: Taking taylor expansion of PI in n 3.451 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.451 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.451 * [taylor]: Taking taylor expansion of k in n 3.451 * [taylor]: Taking taylor expansion of 1.0 in n 3.451 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 3.451 * [taylor]: Taking taylor expansion of NAN in n 3.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.451 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.451 * [taylor]: Taking taylor expansion of 0.5 in n 3.452 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.452 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.452 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.452 * [taylor]: Taking taylor expansion of k in n 3.452 * [taylor]: Taking taylor expansion of 1.0 in n 3.452 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.452 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.452 * [taylor]: Taking taylor expansion of -1 in n 3.452 * [taylor]: Taking taylor expansion of n in n 3.456 * [taylor]: Taking taylor expansion of 0 in n 3.461 * [taylor]: Taking taylor expansion of 0 in n 3.461 * * * [progress]: simplifying candidates 3.464 * [simplify]: Simplifying using # : (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 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(sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (pow (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (sqrt k) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (+ (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (- (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (* 1.0 (+ (* (pow NAN 5) (pow k 2)) NAN))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3)))) (* 0.5 (* k (* (log (* 2.0 PI)) NAN))))))) (* 1.0 (+ (/ (* (pow NAN 3) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2)) (+ (/ (* (pow NAN 5) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 3)) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k)))) (* 1.0 (+ (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) NAN))) (* 1.0 (+ (* (pow NAN 5) (pow k 2)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (+ (+ (+ (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 1.0 (* k (pow NAN 3))) (* 0.125 (* (pow k 2) (* (pow (log 1) 2) NAN))))) (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.25 (* (log 1) (* NAN (* (pow k 2) (log (* 2.0 PI))))))))) (+ (+ (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2)))))) (* 0.25 (* (* (log 1) (* NAN (* (pow k 2) (log n)))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5)))) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (+ (+ (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3)))))) (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* k (* (log 1) NAN))) (* 0.5 (* (pow k 2) (* (log 1) (pow NAN 3))))))))) (* 1.0 (+ (/ (pow NAN 3) (/ (pow k 2) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* 0.5 (* (- 1.0 k) (- (log 1) (log (/ 1 n))))))))) (+ (/ (* NAN (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (- (log 1) (log (/ 1 n)))))))) k) (/ (* (pow NAN 5) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (- (log 1) (log (/ 1 n)))))))) (pow k 3))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* NAN (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) k) (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) NAN))) 3.509 * * * [progress]: adding candidates to table 5.054 * [progress]: [Phase 3 of 3] Extracting. 5.054 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 5.057 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.057 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 5.133 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 5.174 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 5.250 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 5.328 * * * [regime]: Found split indices: #