37.671 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.174 * * * [progress]: [2/2] Setting up program. 0.179 * [progress]: [Phase 2 of 3] Improving. 0.179 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.181 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.182 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.184 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.186 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.192 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.214 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.215 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.215 * * [progress]: iteration 1 / 4 0.215 * * * [progress]: picking best candidate 0.219 * * * * [pick]: Picked # 0.219 * * * [progress]: localizing error 0.236 * * * [progress]: generating rewritten candidates 0.236 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.241 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.250 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.261 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.270 * * * [progress]: generating series expansions 0.270 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.270 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.270 * [taylor]: Taking taylor expansion of 2.0 in n 0.270 * [taylor]: Taking taylor expansion of (* n PI) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of PI in n 0.270 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.270 * [taylor]: Taking taylor expansion of 2.0 in n 0.270 * [taylor]: Taking taylor expansion of (* n PI) in n 0.270 * [taylor]: Taking taylor expansion of n in n 0.270 * [taylor]: Taking taylor expansion of PI in n 0.271 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.271 * [taylor]: Taking taylor expansion of 2.0 in n 0.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.271 * [taylor]: Taking taylor expansion of PI in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.271 * [taylor]: Taking taylor expansion of 2.0 in n 0.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.271 * [taylor]: Taking taylor expansion of PI in n 0.271 * [taylor]: Taking taylor expansion of n in n 0.272 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.272 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.272 * [taylor]: Taking taylor expansion of -2.0 in n 0.272 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.272 * [taylor]: Taking taylor expansion of PI in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.272 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.272 * [taylor]: Taking taylor expansion of -2.0 in n 0.272 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.272 * [taylor]: Taking taylor expansion of PI in n 0.272 * [taylor]: Taking taylor expansion of n in n 0.273 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.273 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.273 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.273 * [taylor]: Taking taylor expansion of 0.5 in k 0.273 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.273 * [taylor]: Taking taylor expansion of 1.0 in k 0.273 * [taylor]: Taking taylor expansion of k in k 0.273 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.273 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.273 * [taylor]: Taking taylor expansion of 2.0 in k 0.273 * [taylor]: Taking taylor expansion of (* n PI) in k 0.273 * [taylor]: Taking taylor expansion of n in k 0.273 * [taylor]: Taking taylor expansion of PI in k 0.273 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.273 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.273 * [taylor]: Taking taylor expansion of 0.5 in n 0.273 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.273 * [taylor]: Taking taylor expansion of 1.0 in n 0.273 * [taylor]: Taking taylor expansion of k in n 0.273 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.274 * [taylor]: Taking taylor expansion of 2.0 in n 0.274 * [taylor]: Taking taylor expansion of (* n PI) in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [taylor]: Taking taylor expansion of PI in n 0.274 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.274 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.274 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.274 * [taylor]: Taking taylor expansion of 0.5 in n 0.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.274 * [taylor]: Taking taylor expansion of 1.0 in n 0.274 * [taylor]: Taking taylor expansion of k in n 0.274 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.274 * [taylor]: Taking taylor expansion of 2.0 in n 0.274 * [taylor]: Taking taylor expansion of (* n PI) in n 0.274 * [taylor]: Taking taylor expansion of n in n 0.274 * [taylor]: Taking taylor expansion of PI in n 0.274 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.274 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.274 * [taylor]: Taking taylor expansion of 0.5 in k 0.274 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.274 * [taylor]: Taking taylor expansion of 1.0 in k 0.275 * [taylor]: Taking taylor expansion of k 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 0.279 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.279 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.279 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.279 * [taylor]: Taking taylor expansion of 0.5 in k 0.279 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.279 * [taylor]: Taking taylor expansion of 1.0 in k 0.280 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.280 * [taylor]: Taking taylor expansion of k in k 0.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.280 * [taylor]: Taking taylor expansion of 2.0 in k 0.280 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.280 * [taylor]: Taking taylor expansion of PI in k 0.280 * [taylor]: Taking taylor expansion of n in k 0.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.280 * [taylor]: Taking taylor expansion of 0.5 in n 0.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.280 * [taylor]: Taking taylor expansion of 1.0 in n 0.280 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.280 * [taylor]: Taking taylor expansion of k in n 0.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.280 * [taylor]: Taking taylor expansion of 2.0 in n 0.280 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.280 * [taylor]: Taking taylor expansion of PI in n 0.280 * [taylor]: Taking taylor expansion of n in n 0.281 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.281 * [taylor]: Taking taylor expansion of 0.5 in n 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.281 * [taylor]: Taking taylor expansion of 1.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.281 * [taylor]: Taking taylor expansion of k in n 0.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.281 * [taylor]: Taking taylor expansion of 2.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.281 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.281 * [taylor]: Taking taylor expansion of 0.5 in k 0.281 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.281 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.281 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.281 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.281 * [taylor]: Taking taylor expansion of 2.0 in k 0.281 * [taylor]: Taking taylor expansion of PI in k 0.281 * [taylor]: Taking taylor expansion of (log n) in k 0.281 * [taylor]: Taking taylor expansion of n in k 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.282 * [taylor]: Taking taylor expansion of 0 in k 0.283 * [taylor]: Taking taylor expansion of 0 in k 0.284 * [taylor]: Taking taylor expansion of 0 in k 0.284 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.284 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.284 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.284 * [taylor]: Taking taylor expansion of 0.5 in k 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.284 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.284 * [taylor]: Taking taylor expansion of k in k 0.285 * [taylor]: Taking taylor expansion of 1.0 in k 0.285 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.285 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.285 * [taylor]: Taking taylor expansion of -2.0 in k 0.285 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.285 * [taylor]: Taking taylor expansion of PI in k 0.285 * [taylor]: Taking taylor expansion of n in k 0.285 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.285 * [taylor]: Taking taylor expansion of 0.5 in n 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.285 * [taylor]: Taking taylor expansion of k in n 0.285 * [taylor]: Taking taylor expansion of 1.0 in n 0.285 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.285 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.285 * [taylor]: Taking taylor expansion of -2.0 in n 0.285 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.285 * [taylor]: Taking taylor expansion of PI in n 0.285 * [taylor]: Taking taylor expansion of n in n 0.285 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.285 * [taylor]: Taking taylor expansion of 0.5 in n 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.286 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.286 * [taylor]: Taking taylor expansion of k in n 0.286 * [taylor]: Taking taylor expansion of 1.0 in n 0.286 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.286 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.286 * [taylor]: Taking taylor expansion of -2.0 in n 0.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.286 * [taylor]: Taking taylor expansion of PI in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.286 * [taylor]: Taking taylor expansion of 0.5 in k 0.286 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.286 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.286 * [taylor]: Taking taylor expansion of k in k 0.286 * [taylor]: Taking taylor expansion of 1.0 in k 0.286 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.286 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.286 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.286 * [taylor]: Taking taylor expansion of -2.0 in k 0.286 * [taylor]: Taking taylor expansion of PI in k 0.286 * [taylor]: Taking taylor expansion of (log n) in k 0.286 * [taylor]: Taking taylor expansion of n in k 0.287 * [taylor]: Taking taylor expansion of 0 in k 0.288 * [taylor]: Taking taylor expansion of 0 in k 0.289 * [taylor]: Taking taylor expansion of 0 in k 0.289 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.289 * [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 0.289 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.289 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.289 * [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 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.290 * [taylor]: Taking taylor expansion of 0.5 in k 0.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.290 * [taylor]: Taking taylor expansion of 2.0 in k 0.290 * [taylor]: Taking taylor expansion of (* n PI) in k 0.290 * [taylor]: Taking taylor expansion of n in k 0.290 * [taylor]: Taking taylor expansion of PI in k 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.290 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.290 * [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 0 in n 0.292 * [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 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.292 * [taylor]: Taking taylor expansion of NAN in n 0.292 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.292 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.292 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.292 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (log PI) in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.292 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.292 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.292 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (log n) in n 0.292 * [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 0.293 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.293 * [taylor]: Taking taylor expansion of 2.0 in n 0.296 * [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 0.296 * [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 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [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 0.296 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.297 * [taylor]: Taking taylor expansion of 0.5 in n 0.297 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.297 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.297 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.297 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.297 * [taylor]: Taking taylor expansion of 1.0 in n 0.297 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.297 * [taylor]: Taking taylor expansion of 2.0 in n 0.297 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.297 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.297 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.297 * [taylor]: Taking taylor expansion of 1.0 in n 0.297 * [taylor]: Taking taylor expansion of (log n) in n 0.297 * [taylor]: Taking taylor expansion of n in n 0.297 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.297 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.297 * [taylor]: Taking taylor expansion of 1.0 in n 0.297 * [taylor]: Taking taylor expansion of (log PI) in n 0.297 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.298 * [taylor]: Taking taylor expansion of NAN in n 0.298 * [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 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [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 0.298 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (* n PI) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of NAN 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 0.299 * [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 0.299 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.299 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (log n) in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (log PI) in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.309 * [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 0.309 * [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 0.309 * [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 0.309 * [taylor]: Taking taylor expansion of 0.125 in n 0.309 * [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 0.309 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.309 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.309 * [taylor]: Taking taylor expansion of 2.0 in n 0.309 * [taylor]: Taking taylor expansion of (* n PI) in n 0.309 * [taylor]: Taking taylor expansion of n in n 0.309 * [taylor]: Taking taylor expansion of PI in n 0.310 * [taylor]: Taking taylor expansion of NAN in n 0.310 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.310 * [taylor]: Taking taylor expansion of 0.5 in n 0.310 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.310 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.310 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.310 * [taylor]: Taking taylor expansion of 2.0 in n 0.310 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.310 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of (log n) in n 0.310 * [taylor]: Taking taylor expansion of n in n 0.310 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.310 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of (log PI) in n 0.310 * [taylor]: Taking taylor expansion of PI in n 0.311 * [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 0.311 * [taylor]: Taking taylor expansion of 1.0 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) (pow NAN 5)) 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 0.311 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.311 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (log n) in n 0.311 * [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 0.312 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.312 * [taylor]: Taking taylor expansion of NAN in n 0.312 * [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 0.312 * [taylor]: Taking taylor expansion of 0.5 in n 0.312 * [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 0.313 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.313 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.313 * [taylor]: Taking taylor expansion of 2.0 in n 0.313 * [taylor]: Taking taylor expansion of (* n PI) in n 0.313 * [taylor]: Taking taylor expansion of n in n 0.313 * [taylor]: Taking taylor expansion of PI in n 0.313 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.313 * [taylor]: Taking taylor expansion of NAN 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 0.317 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.317 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.317 * [taylor]: Taking taylor expansion of 1.0 in n 0.317 * [taylor]: Taking taylor expansion of (log PI) in n 0.317 * [taylor]: Taking taylor expansion of PI in n 0.331 * [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 0.331 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.331 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.331 * [taylor]: Taking taylor expansion of k in n 0.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.331 * [taylor]: Taking taylor expansion of 0.5 in n 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.331 * [taylor]: Taking taylor expansion of k in n 0.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.331 * [taylor]: Taking taylor expansion of 2.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.331 * [taylor]: Taking taylor expansion of PI in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.332 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.332 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 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))) (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 (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.332 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.332 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 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))) (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 0.333 * [taylor]: Taking taylor expansion of k in k 0.333 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.333 * [taylor]: Taking taylor expansion of 2.0 in k 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.333 * [taylor]: Taking taylor expansion of PI in k 0.333 * [taylor]: Taking taylor expansion of n in k 0.333 * [taylor]: Taking taylor expansion of 0 in n 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.333 * [taylor]: Taking taylor expansion of 1.0 in n 0.333 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.333 * [taylor]: Taking taylor expansion of NAN in n 0.333 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.333 * [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 0.334 * [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 0.335 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.335 * [taylor]: Taking taylor expansion of 1.0 in n 0.335 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.335 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.335 * [taylor]: Taking taylor expansion of NAN in n 0.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.335 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.335 * [taylor]: Taking taylor expansion of 0.5 in n 0.335 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.335 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.335 * [taylor]: Taking taylor expansion of 2.0 in n 0.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.335 * [taylor]: Taking taylor expansion of PI in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.335 * [taylor]: Taking taylor expansion of 1.0 in n 0.335 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.335 * [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 0.338 * [taylor]: Taking taylor expansion of NAN in n 0.338 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.338 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.338 * [taylor]: Taking taylor expansion of 0.5 in n 0.338 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.338 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.338 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.338 * [taylor]: Taking taylor expansion of 2.0 in n 0.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.338 * [taylor]: Taking taylor expansion of PI in n 0.338 * [taylor]: Taking taylor expansion of n in n 0.338 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.338 * [taylor]: Taking taylor expansion of 1.0 in n 0.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.338 * [taylor]: Taking taylor expansion of k in n 0.340 * [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 0.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.340 * [taylor]: Taking taylor expansion of 1.0 in n 0.340 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.340 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.340 * [taylor]: Taking taylor expansion of 0.5 in n 0.340 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.340 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.340 * [taylor]: Taking taylor expansion of k in n 0.340 * [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 0.341 * [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 0.341 * [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 0.342 * [taylor]: Taking taylor expansion of PI in k 0.342 * [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 0.349 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.349 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.349 * [taylor]: Taking taylor expansion of 1.0 in k 0.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.349 * [taylor]: Taking taylor expansion of k in k 0.349 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.349 * [taylor]: Taking taylor expansion of 1.0 in k 0.349 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.349 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.349 * [taylor]: Taking taylor expansion of k in k 0.350 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.350 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.350 * [taylor]: Taking taylor expansion of 1.0 in k 0.350 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.350 * [taylor]: Taking taylor expansion of k in k 0.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.351 * [taylor]: Taking taylor expansion of 1.0 in k 0.351 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.351 * [taylor]: Taking taylor expansion of k in k 0.352 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.352 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.352 * [taylor]: Taking taylor expansion of 1.0 in k 0.352 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.352 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.352 * [taylor]: Taking taylor expansion of -1 in k 0.352 * [taylor]: Taking taylor expansion of k in k 0.352 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.352 * [taylor]: Taking taylor expansion of 1.0 in k 0.352 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.352 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.352 * [taylor]: Taking taylor expansion of -1 in k 0.352 * [taylor]: Taking taylor expansion of k in k 0.357 * * * [progress]: simplifying candidates 0.359 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 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n)))))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 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 (* (* k (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))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (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) (* NAN (pow (log n) 2))) (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 (* (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))))))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) 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 (* (* (pow k 2) (* (log (* 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2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) 0.369 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 0.387 * * [simplify]: iteration 1 : 4234 enodes (cost 1364 ) 0.456 * * [simplify]: iteration 2 : 5001 enodes (cost 1352 ) 0.463 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 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 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(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)) 1)) (/ (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)) (/ 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) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (+ (+ (* (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))) (* 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))) 0.464 * * * [progress]: adding candidates to table 1.482 * * [progress]: iteration 2 / 4 1.482 * * * [progress]: picking best candidate 1.544 * * * * [pick]: Picked # 1.544 * * * [progress]: localizing error 1.561 * * * [progress]: generating rewritten candidates 1.562 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.566 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.571 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.581 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.593 * * * [progress]: generating series expansions 1.593 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.593 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.593 * [taylor]: Taking taylor expansion of 2.0 in n 1.593 * [taylor]: Taking taylor expansion of (* n PI) in n 1.593 * [taylor]: Taking taylor expansion of n in n 1.593 * [taylor]: Taking taylor expansion of PI in n 1.593 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.593 * [taylor]: Taking taylor expansion of 2.0 in n 1.593 * [taylor]: Taking taylor expansion of (* n PI) in n 1.593 * [taylor]: Taking taylor expansion of n in n 1.593 * [taylor]: Taking taylor expansion of PI in n 1.594 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.594 * [taylor]: Taking taylor expansion of 2.0 in n 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.594 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.594 * [taylor]: Taking taylor expansion of 2.0 in n 1.594 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.594 * [taylor]: Taking taylor expansion of PI in n 1.594 * [taylor]: Taking taylor expansion of n in n 1.595 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.595 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.595 * [taylor]: Taking taylor expansion of -2.0 in n 1.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.595 * [taylor]: Taking taylor expansion of PI in n 1.595 * [taylor]: Taking taylor expansion of n in n 1.595 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.595 * [taylor]: Taking taylor expansion of -2.0 in n 1.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.595 * [taylor]: Taking taylor expansion of PI in n 1.595 * [taylor]: Taking taylor expansion of n in n 1.596 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.596 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.596 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.596 * [taylor]: Taking taylor expansion of 2.0 in n 1.596 * [taylor]: Taking taylor expansion of (* n PI) in n 1.596 * [taylor]: Taking taylor expansion of n in n 1.596 * [taylor]: Taking taylor expansion of PI in n 1.596 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.596 * [taylor]: Taking taylor expansion of 2.0 in n 1.596 * [taylor]: Taking taylor expansion of (* n PI) in n 1.596 * [taylor]: Taking taylor expansion of n in n 1.596 * [taylor]: Taking taylor expansion of PI in n 1.597 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.597 * [taylor]: Taking taylor expansion of 2.0 in n 1.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.597 * [taylor]: Taking taylor expansion of PI in n 1.597 * [taylor]: Taking taylor expansion of n in n 1.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.597 * [taylor]: Taking taylor expansion of 2.0 in n 1.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.597 * [taylor]: Taking taylor expansion of PI in n 1.597 * [taylor]: Taking taylor expansion of n in n 1.598 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.598 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.598 * [taylor]: Taking taylor expansion of -2.0 in n 1.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.598 * [taylor]: Taking taylor expansion of PI in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.598 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.598 * [taylor]: Taking taylor expansion of -2.0 in n 1.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.598 * [taylor]: Taking taylor expansion of PI in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.599 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.599 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.599 * [taylor]: Taking taylor expansion of 1.0 in k 1.599 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.599 * [taylor]: Taking taylor expansion of k in k 1.599 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.599 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.599 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.599 * [taylor]: Taking taylor expansion of 0.5 in k 1.599 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.599 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.599 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.599 * [taylor]: Taking taylor expansion of 1.0 in k 1.599 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.600 * [taylor]: Taking taylor expansion of 2.0 in k 1.600 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.600 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.600 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.600 * [taylor]: Taking taylor expansion of 1.0 in k 1.600 * [taylor]: Taking taylor expansion of (log n) in k 1.600 * [taylor]: Taking taylor expansion of n in k 1.600 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.600 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.600 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.600 * [taylor]: Taking taylor expansion of 1.0 in k 1.600 * [taylor]: Taking taylor expansion of (log PI) in k 1.600 * [taylor]: Taking taylor expansion of PI in k 1.601 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.601 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.601 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.601 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.601 * [taylor]: Taking taylor expansion of 0.5 in k 1.601 * [taylor]: Taking taylor expansion of k in k 1.601 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.601 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.601 * [taylor]: Taking taylor expansion of 2.0 in k 1.601 * [taylor]: Taking taylor expansion of (* n PI) in k 1.601 * [taylor]: Taking taylor expansion of n in k 1.601 * [taylor]: Taking taylor expansion of PI in k 1.601 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.601 * [taylor]: Taking taylor expansion of 1.0 in n 1.601 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.601 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.601 * [taylor]: Taking taylor expansion of k in n 1.601 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.601 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.602 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.602 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.602 * [taylor]: Taking taylor expansion of 0.5 in n 1.602 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.602 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.602 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.602 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.602 * [taylor]: Taking taylor expansion of 1.0 in n 1.602 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.602 * [taylor]: Taking taylor expansion of 2.0 in n 1.602 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.602 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.602 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.602 * [taylor]: Taking taylor expansion of 1.0 in n 1.602 * [taylor]: Taking taylor expansion of (log n) in n 1.602 * [taylor]: Taking taylor expansion of n in n 1.602 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.602 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.602 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.602 * [taylor]: Taking taylor expansion of 1.0 in n 1.602 * [taylor]: Taking taylor expansion of (log PI) in n 1.602 * [taylor]: Taking taylor expansion of PI in n 1.603 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.603 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.603 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.603 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.603 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.603 * [taylor]: Taking taylor expansion of 0.5 in n 1.603 * [taylor]: Taking taylor expansion of k in n 1.603 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.603 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.603 * [taylor]: Taking taylor expansion of 2.0 in n 1.603 * [taylor]: Taking taylor expansion of (* n PI) in n 1.603 * [taylor]: Taking taylor expansion of n in n 1.603 * [taylor]: Taking taylor expansion of PI in n 1.603 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.603 * [taylor]: Taking taylor expansion of 1.0 in n 1.603 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.604 * [taylor]: Taking taylor expansion of k in n 1.604 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.604 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.604 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.604 * [taylor]: Taking taylor expansion of 0.5 in n 1.604 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.604 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.604 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.604 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.604 * [taylor]: Taking taylor expansion of 1.0 in n 1.604 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.604 * [taylor]: Taking taylor expansion of 2.0 in n 1.604 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.604 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.604 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.604 * [taylor]: Taking taylor expansion of 1.0 in n 1.604 * [taylor]: Taking taylor expansion of (log n) in n 1.604 * [taylor]: Taking taylor expansion of n in n 1.604 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.604 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.604 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.604 * [taylor]: Taking taylor expansion of 1.0 in n 1.604 * [taylor]: Taking taylor expansion of (log PI) in n 1.604 * [taylor]: Taking taylor expansion of PI in n 1.605 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.605 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.605 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.605 * [taylor]: Taking taylor expansion of 0.5 in n 1.605 * [taylor]: Taking taylor expansion of k in n 1.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.605 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.605 * [taylor]: Taking taylor expansion of 2.0 in n 1.605 * [taylor]: Taking taylor expansion of (* n PI) in n 1.605 * [taylor]: Taking taylor expansion of n in n 1.605 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 1.607 * [taylor]: Taking taylor expansion of 1.0 in k 1.607 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.607 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.607 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.607 * [taylor]: Taking taylor expansion of k in k 1.607 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.607 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.607 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.607 * [taylor]: Taking taylor expansion of 0.5 in k 1.607 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.607 * [taylor]: Taking taylor expansion of k in k 1.607 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.607 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.607 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.607 * [taylor]: Taking taylor expansion of 2.0 in k 1.607 * [taylor]: Taking taylor expansion of PI in k 1.607 * [taylor]: Taking taylor expansion of (log n) in k 1.607 * [taylor]: Taking taylor expansion of n in k 1.607 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.607 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.607 * [taylor]: Taking taylor expansion of 0.5 in k 1.608 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.608 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.608 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.608 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.608 * [taylor]: Taking taylor expansion of 1.0 in k 1.608 * [taylor]: Taking taylor expansion of (log PI) in k 1.608 * [taylor]: Taking taylor expansion of PI in k 1.608 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.608 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.608 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.608 * [taylor]: Taking taylor expansion of 1.0 in k 1.608 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.608 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.608 * [taylor]: Taking taylor expansion of 1.0 in k 1.608 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.608 * [taylor]: Taking taylor expansion of (log 1) in k 1.608 * [taylor]: Taking taylor expansion of 1 in k 1.608 * [taylor]: Taking taylor expansion of (log n) in k 1.608 * [taylor]: Taking taylor expansion of n in k 1.608 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.608 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.608 * [taylor]: Taking taylor expansion of 1.0 in k 1.608 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.608 * [taylor]: Taking taylor expansion of 2.0 in k 1.612 * [taylor]: Taking taylor expansion of 0 in k 1.620 * [taylor]: Taking taylor expansion of 0 in k 1.638 * [taylor]: Taking taylor expansion of 0 in k 1.661 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.661 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.661 * [taylor]: Taking taylor expansion of 1.0 in k 1.661 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.661 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.662 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.662 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.662 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.662 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.662 * [taylor]: Taking taylor expansion of 0.5 in k 1.662 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.662 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.662 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.662 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.662 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.662 * [taylor]: Taking taylor expansion of 1.0 in k 1.662 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.662 * [taylor]: Taking taylor expansion of 2.0 in k 1.662 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.662 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.662 * [taylor]: Taking taylor expansion of 1.0 in k 1.662 * [taylor]: Taking taylor expansion of (log PI) in k 1.662 * [taylor]: Taking taylor expansion of PI in k 1.662 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.662 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.662 * [taylor]: Taking taylor expansion of 1.0 in k 1.662 * [taylor]: Taking taylor expansion of (log n) in k 1.662 * [taylor]: Taking taylor expansion of n in k 1.663 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.663 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.663 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.663 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.663 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.663 * [taylor]: Taking taylor expansion of 0.5 in k 1.663 * [taylor]: Taking taylor expansion of k in k 1.663 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.663 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.663 * [taylor]: Taking taylor expansion of 2.0 in k 1.663 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.663 * [taylor]: Taking taylor expansion of PI in k 1.663 * [taylor]: Taking taylor expansion of n in k 1.663 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.663 * [taylor]: Taking taylor expansion of 1.0 in n 1.663 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.663 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.663 * [taylor]: Taking taylor expansion of k in n 1.664 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.664 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.664 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.664 * [taylor]: Taking taylor expansion of 0.5 in n 1.664 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.664 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.664 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.664 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.664 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.664 * [taylor]: Taking taylor expansion of 1.0 in n 1.664 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.664 * [taylor]: Taking taylor expansion of 2.0 in n 1.664 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.664 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.664 * [taylor]: Taking taylor expansion of 1.0 in n 1.664 * [taylor]: Taking taylor expansion of (log PI) in n 1.664 * [taylor]: Taking taylor expansion of PI in n 1.664 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.664 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.664 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.664 * [taylor]: Taking taylor expansion of 1.0 in n 1.664 * [taylor]: Taking taylor expansion of (log n) in n 1.664 * [taylor]: Taking taylor expansion of n in n 1.665 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.665 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.665 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.665 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.665 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.665 * [taylor]: Taking taylor expansion of 0.5 in n 1.665 * [taylor]: Taking taylor expansion of k in n 1.665 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.665 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.665 * [taylor]: Taking taylor expansion of 2.0 in n 1.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.665 * [taylor]: Taking taylor expansion of PI in n 1.665 * [taylor]: Taking taylor expansion of n in n 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.666 * [taylor]: Taking taylor expansion of 1.0 in n 1.666 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.666 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.666 * [taylor]: Taking taylor expansion of k in n 1.666 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.666 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.666 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.666 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.666 * [taylor]: Taking taylor expansion of 0.5 in n 1.666 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.666 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.666 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.666 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.666 * [taylor]: Taking taylor expansion of 1.0 in n 1.666 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.666 * [taylor]: Taking taylor expansion of 2.0 in n 1.666 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.666 * [taylor]: Taking taylor expansion of 1.0 in n 1.666 * [taylor]: Taking taylor expansion of (log PI) in n 1.666 * [taylor]: Taking taylor expansion of PI in n 1.666 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.666 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.666 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.666 * [taylor]: Taking taylor expansion of 1.0 in n 1.666 * [taylor]: Taking taylor expansion of (log n) in n 1.666 * [taylor]: Taking taylor expansion of n in n 1.667 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.667 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.667 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.667 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.667 * [taylor]: Taking taylor expansion of 0.5 in n 1.667 * [taylor]: Taking taylor expansion of k in n 1.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.667 * [taylor]: Taking taylor expansion of 2.0 in n 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.669 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 1.669 * [taylor]: Taking taylor expansion of 1.0 in k 1.669 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.669 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.669 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.669 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.669 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.669 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.669 * [taylor]: Taking taylor expansion of 0.5 in k 1.669 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.669 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.669 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.669 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.669 * [taylor]: Taking taylor expansion of 2.0 in k 1.669 * [taylor]: Taking taylor expansion of PI in k 1.669 * [taylor]: Taking taylor expansion of (log n) in k 1.669 * [taylor]: Taking taylor expansion of n in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.669 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.669 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.669 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.669 * [taylor]: Taking taylor expansion of 0.5 in k 1.669 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.669 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.669 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.669 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.669 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.669 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.669 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (log PI) in k 1.670 * [taylor]: Taking taylor expansion of PI in k 1.670 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.670 * [taylor]: Taking taylor expansion of 2.0 in k 1.670 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.670 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.670 * [taylor]: Taking taylor expansion of (log 1) in k 1.670 * [taylor]: Taking taylor expansion of 1 in k 1.670 * [taylor]: Taking taylor expansion of (log n) in k 1.670 * [taylor]: Taking taylor expansion of n in k 1.675 * [taylor]: Taking taylor expansion of 0 in k 1.683 * [taylor]: Taking taylor expansion of 0 in k 1.694 * [taylor]: Taking taylor expansion of 0 in k 1.703 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 1.703 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 1.703 * [taylor]: Taking taylor expansion of 1.0 in k 1.703 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.703 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.703 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.703 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.703 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.703 * [taylor]: Taking taylor expansion of -1 in k 1.703 * [taylor]: Taking taylor expansion of k in k 1.703 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.703 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.703 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.703 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.703 * [taylor]: Taking taylor expansion of -0.5 in k 1.703 * [taylor]: Taking taylor expansion of k in k 1.703 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.703 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.703 * [taylor]: Taking taylor expansion of -2.0 in k 1.703 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.703 * [taylor]: Taking taylor expansion of PI in k 1.703 * [taylor]: Taking taylor expansion of n in k 1.704 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.704 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.704 * [taylor]: Taking taylor expansion of 0.5 in k 1.704 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.704 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.704 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.704 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.704 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.704 * [taylor]: Taking taylor expansion of 1.0 in k 1.704 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.704 * [taylor]: Taking taylor expansion of -2.0 in k 1.704 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.704 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.704 * [taylor]: Taking taylor expansion of 1.0 in k 1.704 * [taylor]: Taking taylor expansion of (log PI) in k 1.704 * [taylor]: Taking taylor expansion of PI in k 1.704 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.704 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.704 * [taylor]: Taking taylor expansion of 1.0 in k 1.704 * [taylor]: Taking taylor expansion of (log n) in k 1.704 * [taylor]: Taking taylor expansion of n in k 1.705 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.705 * [taylor]: Taking taylor expansion of 1.0 in n 1.705 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.705 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.705 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.705 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.705 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.705 * [taylor]: Taking taylor expansion of -1 in n 1.705 * [taylor]: Taking taylor expansion of k in n 1.705 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.705 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.705 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.705 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.705 * [taylor]: Taking taylor expansion of -0.5 in n 1.705 * [taylor]: Taking taylor expansion of k 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 1.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.706 * [taylor]: Taking taylor expansion of PI in n 1.706 * [taylor]: Taking taylor expansion of n in n 1.706 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.706 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.706 * [taylor]: Taking taylor expansion of 0.5 in n 1.706 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.706 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.706 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.706 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.706 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.706 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.706 * [taylor]: Taking taylor expansion of 1.0 in n 1.706 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.706 * [taylor]: Taking taylor expansion of -2.0 in n 1.706 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.706 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.706 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.706 * [taylor]: Taking taylor expansion of 1.0 in n 1.706 * [taylor]: Taking taylor expansion of (log PI) in n 1.706 * [taylor]: Taking taylor expansion of PI in n 1.706 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.706 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.706 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.706 * [taylor]: Taking taylor expansion of 1.0 in n 1.706 * [taylor]: Taking taylor expansion of (log n) in n 1.706 * [taylor]: Taking taylor expansion of n in n 1.707 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 1.707 * [taylor]: Taking taylor expansion of 1.0 in n 1.707 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.708 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.708 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.708 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.708 * [taylor]: Taking taylor expansion of -1 in n 1.708 * [taylor]: Taking taylor expansion of k in n 1.708 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.708 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.708 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.708 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.708 * [taylor]: Taking taylor expansion of -0.5 in n 1.708 * [taylor]: Taking taylor expansion of k in n 1.708 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.708 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.708 * [taylor]: Taking taylor expansion of -2.0 in n 1.708 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.708 * [taylor]: Taking taylor expansion of PI in n 1.708 * [taylor]: Taking taylor expansion of n in n 1.708 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.708 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.708 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.708 * [taylor]: Taking taylor expansion of 0.5 in n 1.708 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.708 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.708 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.708 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.709 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.709 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.709 * [taylor]: Taking taylor expansion of 1.0 in n 1.709 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.709 * [taylor]: Taking taylor expansion of -2.0 in n 1.709 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.709 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.709 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.709 * [taylor]: Taking taylor expansion of 1.0 in n 1.709 * [taylor]: Taking taylor expansion of (log PI) in n 1.709 * [taylor]: Taking taylor expansion of PI in n 1.709 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.709 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.709 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.709 * [taylor]: Taking taylor expansion of 1.0 in n 1.709 * [taylor]: Taking taylor expansion of (log n) in n 1.709 * [taylor]: Taking taylor expansion of n in n 1.710 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.710 * [taylor]: Taking taylor expansion of 1.0 in k 1.711 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.711 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.711 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.711 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.711 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.711 * [taylor]: Taking taylor expansion of -0.5 in k 1.711 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.711 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.711 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.711 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.711 * [taylor]: Taking taylor expansion of -2.0 in k 1.711 * [taylor]: Taking taylor expansion of PI in k 1.711 * [taylor]: Taking taylor expansion of (log n) in k 1.711 * [taylor]: Taking taylor expansion of n in k 1.711 * [taylor]: Taking taylor expansion of k in k 1.711 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.711 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.711 * [taylor]: Taking taylor expansion of -1 in k 1.711 * [taylor]: Taking taylor expansion of k in k 1.711 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.711 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.711 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.711 * [taylor]: Taking taylor expansion of 0.5 in k 1.711 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.711 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.712 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.712 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.712 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.712 * [taylor]: Taking taylor expansion of 1.0 in k 1.712 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.712 * [taylor]: Taking taylor expansion of -2.0 in k 1.712 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.712 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.712 * [taylor]: Taking taylor expansion of 1.0 in k 1.712 * [taylor]: Taking taylor expansion of (log PI) in k 1.712 * [taylor]: Taking taylor expansion of PI in k 1.712 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.712 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.712 * [taylor]: Taking taylor expansion of 1.0 in k 1.712 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.712 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.712 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.712 * [taylor]: Taking taylor expansion of 1.0 in k 1.712 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.712 * [taylor]: Taking taylor expansion of (log 1) in k 1.712 * [taylor]: Taking taylor expansion of 1 in k 1.712 * [taylor]: Taking taylor expansion of (log n) in k 1.712 * [taylor]: Taking taylor expansion of n in k 1.719 * [taylor]: Taking taylor expansion of 0 in k 1.728 * [taylor]: Taking taylor expansion of 0 in k 1.738 * [taylor]: Taking taylor expansion of 0 in k 1.739 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.739 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.739 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.739 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.739 * [taylor]: Taking taylor expansion of 0.5 in n 1.739 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.740 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.740 * [taylor]: Taking taylor expansion of 2.0 in n 1.740 * [taylor]: Taking taylor expansion of (* n PI) in n 1.740 * [taylor]: Taking taylor expansion of n in n 1.740 * [taylor]: Taking taylor expansion of PI in n 1.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.740 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.740 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.740 * [taylor]: Taking taylor expansion of 0.5 in n 1.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.740 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.740 * [taylor]: Taking taylor expansion of 2.0 in n 1.740 * [taylor]: Taking taylor expansion of (* n PI) in n 1.740 * [taylor]: Taking taylor expansion of n in n 1.740 * [taylor]: Taking taylor expansion of PI in n 1.747 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.747 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.747 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.747 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.747 * [taylor]: Taking taylor expansion of 0.5 in n 1.747 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.747 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.747 * [taylor]: Taking taylor expansion of 2.0 in n 1.747 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.748 * [taylor]: Taking taylor expansion of PI in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.748 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.748 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.748 * [taylor]: Taking taylor expansion of 0.5 in n 1.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.748 * [taylor]: Taking taylor expansion of 2.0 in n 1.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.748 * [taylor]: Taking taylor expansion of PI in n 1.748 * [taylor]: Taking taylor expansion of n in n 1.755 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.755 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.755 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.755 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.755 * [taylor]: Taking taylor expansion of 0.5 in n 1.755 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.755 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.755 * [taylor]: Taking taylor expansion of -2.0 in n 1.755 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.755 * [taylor]: Taking taylor expansion of PI in n 1.755 * [taylor]: Taking taylor expansion of n in n 1.755 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.755 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.755 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.755 * [taylor]: Taking taylor expansion of 0.5 in n 1.755 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.755 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.755 * [taylor]: Taking taylor expansion of -2.0 in n 1.755 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.755 * [taylor]: Taking taylor expansion of PI in n 1.756 * [taylor]: Taking taylor expansion of n in n 1.762 * * * [progress]: simplifying candidates 1.765 * [simplify]: Simplifying using # : (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ 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(- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow 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iteration 0 : 939 enodes (cost 1410 ) 1.790 * * [simplify]: iteration 1 : 4082 enodes (cost 1188 ) 1.857 * * [simplify]: iteration 2 : 5001 enodes (cost 1188 ) 1.863 * [simplify]: Simplified to: (* (* 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)) 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2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 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) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (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 (* NAN (log n)))) (* 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 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 1.864 * * * [progress]: adding candidates to table 2.359 * * [progress]: iteration 3 / 4 2.359 * * * [progress]: picking best candidate 2.408 * * * * [pick]: Picked # 2.408 * * * [progress]: localizing error 2.427 * * * [progress]: generating rewritten candidates 2.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 2.432 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 2.437 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.459 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.473 * * * [progress]: generating series expansions 2.473 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 2.473 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.474 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.474 * [taylor]: Taking taylor expansion of 2.0 in n 2.474 * [taylor]: Taking taylor expansion of (* n PI) in n 2.474 * [taylor]: Taking taylor expansion of n in n 2.474 * [taylor]: Taking taylor expansion of PI in n 2.474 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.474 * [taylor]: Taking taylor expansion of 2.0 in n 2.474 * [taylor]: Taking taylor expansion of (* n PI) in n 2.474 * [taylor]: Taking taylor expansion of n in n 2.474 * [taylor]: Taking taylor expansion of PI in n 2.475 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.475 * [taylor]: Taking taylor expansion of 2.0 in n 2.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.475 * [taylor]: Taking taylor expansion of PI in n 2.475 * [taylor]: Taking taylor expansion of n in n 2.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.475 * [taylor]: Taking taylor expansion of 2.0 in n 2.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.475 * [taylor]: Taking taylor expansion of PI in n 2.475 * [taylor]: Taking taylor expansion of n in n 2.479 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.479 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.479 * [taylor]: Taking taylor expansion of -2.0 in n 2.479 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.479 * [taylor]: Taking taylor expansion of PI in n 2.479 * [taylor]: Taking taylor expansion of n in n 2.479 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.479 * [taylor]: Taking taylor expansion of -2.0 in n 2.479 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.479 * [taylor]: Taking taylor expansion of PI in n 2.479 * [taylor]: Taking taylor expansion of n in n 2.480 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 2.480 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.480 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.480 * [taylor]: Taking taylor expansion of 2.0 in n 2.480 * [taylor]: Taking taylor expansion of (* n PI) in n 2.480 * [taylor]: Taking taylor expansion of n in n 2.480 * [taylor]: Taking taylor expansion of PI in n 2.480 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.480 * [taylor]: Taking taylor expansion of 2.0 in n 2.480 * [taylor]: Taking taylor expansion of (* n PI) in n 2.480 * [taylor]: Taking taylor expansion of n in n 2.480 * [taylor]: Taking taylor expansion of PI in n 2.481 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.481 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.481 * [taylor]: Taking taylor expansion of 2.0 in n 2.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.481 * [taylor]: Taking taylor expansion of PI in n 2.481 * [taylor]: Taking taylor expansion of n in n 2.481 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.481 * [taylor]: Taking taylor expansion of 2.0 in n 2.481 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.481 * [taylor]: Taking taylor expansion of PI in n 2.481 * [taylor]: Taking taylor expansion of n in n 2.482 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.482 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.482 * [taylor]: Taking taylor expansion of -2.0 in n 2.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.482 * [taylor]: Taking taylor expansion of PI in n 2.482 * [taylor]: Taking taylor expansion of n in n 2.482 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.482 * [taylor]: Taking taylor expansion of -2.0 in n 2.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.482 * [taylor]: Taking taylor expansion of PI in n 2.482 * [taylor]: Taking taylor expansion of n in n 2.483 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.484 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (k n) around 0 2.484 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 2.484 * [taylor]: Taking taylor expansion of 1.0 in n 2.484 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 2.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.484 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.484 * [taylor]: Taking taylor expansion of k in n 2.484 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 2.484 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.484 * [taylor]: Taking taylor expansion of 0.5 in n 2.484 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.484 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.484 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.484 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.484 * [taylor]: Taking taylor expansion of 1.0 in n 2.484 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.484 * [taylor]: Taking taylor expansion of 2.0 in n 2.484 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.484 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.484 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.484 * [taylor]: Taking taylor expansion of 1.0 in n 2.484 * [taylor]: Taking taylor expansion of (log n) in n 2.484 * [taylor]: Taking taylor expansion of n in n 2.484 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.484 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.484 * [taylor]: Taking taylor expansion of 1.0 in n 2.484 * [taylor]: Taking taylor expansion of (log PI) in n 2.484 * [taylor]: Taking taylor expansion of PI in n 2.485 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.485 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.485 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.485 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.485 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.485 * [taylor]: Taking taylor expansion of 0.5 in n 2.485 * [taylor]: Taking taylor expansion of k in n 2.485 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.485 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.485 * [taylor]: Taking taylor expansion of 2.0 in n 2.485 * [taylor]: Taking taylor expansion of (* n PI) in n 2.485 * [taylor]: Taking taylor expansion of n in n 2.485 * [taylor]: Taking taylor expansion of PI in n 2.486 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 2.486 * [taylor]: Taking taylor expansion of 1.0 in k 2.486 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 2.486 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.486 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.486 * [taylor]: Taking taylor expansion of k in k 2.486 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 2.486 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 2.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 2.486 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 2.486 * [taylor]: Taking taylor expansion of 0.5 in k 2.486 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 2.486 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 2.486 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.486 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.486 * [taylor]: Taking taylor expansion of 1.0 in k 2.486 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.486 * [taylor]: Taking taylor expansion of 2.0 in k 2.486 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 2.486 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.486 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.486 * [taylor]: Taking taylor expansion of 1.0 in k 2.486 * [taylor]: Taking taylor expansion of (log n) in k 2.486 * [taylor]: Taking taylor expansion of n in k 2.486 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.486 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.486 * [taylor]: Taking taylor expansion of 1.0 in k 2.486 * [taylor]: Taking taylor expansion of (log PI) in k 2.486 * [taylor]: Taking taylor expansion of PI in k 2.487 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.487 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.487 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.487 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.487 * [taylor]: Taking taylor expansion of 0.5 in k 2.487 * [taylor]: Taking taylor expansion of k in k 2.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.487 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.487 * [taylor]: Taking taylor expansion of 2.0 in k 2.487 * [taylor]: Taking taylor expansion of (* n PI) in k 2.487 * [taylor]: Taking taylor expansion of n in k 2.487 * [taylor]: Taking taylor expansion of PI in k 2.488 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 2.488 * [taylor]: Taking taylor expansion of 1.0 in k 2.488 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 2.488 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.488 * [taylor]: Taking taylor expansion of k in k 2.488 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 2.488 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 2.488 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 2.488 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 2.488 * [taylor]: Taking taylor expansion of 0.5 in k 2.488 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 2.488 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 2.488 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.488 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.488 * [taylor]: Taking taylor expansion of 1.0 in k 2.488 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.488 * [taylor]: Taking taylor expansion of 2.0 in k 2.488 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 2.488 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.488 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.488 * [taylor]: Taking taylor expansion of 1.0 in k 2.488 * [taylor]: Taking taylor expansion of (log n) in k 2.488 * [taylor]: Taking taylor expansion of n in k 2.488 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.489 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.489 * [taylor]: Taking taylor expansion of 1.0 in k 2.489 * [taylor]: Taking taylor expansion of (log PI) in k 2.489 * [taylor]: Taking taylor expansion of PI in k 2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.489 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.489 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.489 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.489 * [taylor]: Taking taylor expansion of 0.5 in k 2.489 * [taylor]: Taking taylor expansion of k in k 2.490 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.490 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.490 * [taylor]: Taking taylor expansion of 2.0 in k 2.490 * [taylor]: Taking taylor expansion of (* n PI) in k 2.490 * [taylor]: Taking taylor expansion of n in k 2.490 * [taylor]: Taking taylor expansion of PI in k 2.490 * [taylor]: Taking taylor expansion of 0 in n 2.493 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN)) in n 2.493 * [taylor]: Taking taylor expansion of 1.0 in n 2.493 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) NAN) in n 2.493 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.493 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.493 * [taylor]: Taking taylor expansion of 0.5 in n 2.493 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.493 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.493 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.493 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.493 * [taylor]: Taking taylor expansion of 1.0 in n 2.493 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.493 * [taylor]: Taking taylor expansion of 2.0 in n 2.494 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.494 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.494 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.494 * [taylor]: Taking taylor expansion of 1.0 in n 2.494 * [taylor]: Taking taylor expansion of (log n) in n 2.494 * [taylor]: Taking taylor expansion of n in n 2.494 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.494 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.494 * [taylor]: Taking taylor expansion of 1.0 in n 2.494 * [taylor]: Taking taylor expansion of (log PI) in n 2.494 * [taylor]: Taking taylor expansion of PI in n 2.495 * [taylor]: Taking taylor expansion of NAN in n 2.500 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow NAN 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 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 2.500 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.500 * [taylor]: Taking taylor expansion of 1.0 in n 2.500 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.500 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.500 * [taylor]: Taking taylor expansion of NAN in n 2.501 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.501 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.501 * [taylor]: Taking taylor expansion of 0.5 in n 2.501 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.501 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.501 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.501 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.501 * [taylor]: Taking taylor expansion of 1.0 in n 2.501 * [taylor]: Taking taylor expansion of (log PI) in n 2.501 * [taylor]: Taking taylor expansion of PI in n 2.501 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.501 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.501 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.501 * [taylor]: Taking taylor expansion of 1.0 in n 2.501 * [taylor]: Taking taylor expansion of (log n) in n 2.501 * [taylor]: Taking taylor expansion of n in n 2.501 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.501 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.501 * [taylor]: Taking taylor expansion of 1.0 in n 2.501 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.501 * [taylor]: Taking taylor expansion of 2.0 in n 2.502 * [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 2.502 * [taylor]: Taking taylor expansion of 0.5 in n 2.502 * [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 2.502 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 2.502 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.502 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.502 * [taylor]: Taking taylor expansion of 2.0 in n 2.502 * [taylor]: Taking taylor expansion of (* n PI) in n 2.502 * [taylor]: Taking taylor expansion of n in n 2.502 * [taylor]: Taking taylor expansion of PI in n 2.502 * [taylor]: Taking taylor expansion of NAN in n 2.502 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.502 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.502 * [taylor]: Taking taylor expansion of 0.5 in n 2.502 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.502 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.502 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.502 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.502 * [taylor]: Taking taylor expansion of 1.0 in n 2.502 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.502 * [taylor]: Taking taylor expansion of 2.0 in n 2.502 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.502 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.503 * [taylor]: Taking taylor expansion of 1.0 in n 2.503 * [taylor]: Taking taylor expansion of (log n) in n 2.503 * [taylor]: Taking taylor expansion of n in n 2.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.503 * [taylor]: Taking taylor expansion of 1.0 in n 2.503 * [taylor]: Taking taylor expansion of (log PI) in n 2.503 * [taylor]: Taking taylor expansion of PI in n 2.518 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 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)))) (* 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 2.518 * [taylor]: Taking taylor expansion of (+ (* 1.0 (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 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 2.518 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.518 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.518 * [taylor]: Taking taylor expansion of NAN in n 2.518 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.518 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.518 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.518 * [taylor]: Taking taylor expansion of 0.5 in n 2.518 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.518 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [taylor]: Taking taylor expansion of (log PI) in n 2.518 * [taylor]: Taking taylor expansion of PI in n 2.518 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [taylor]: Taking taylor expansion of (log n) in n 2.518 * [taylor]: Taking taylor expansion of n in n 2.518 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.518 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.518 * [taylor]: Taking taylor expansion of 1.0 in n 2.518 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.518 * [taylor]: Taking taylor expansion of 2.0 in n 2.519 * [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 2.519 * [taylor]: Taking taylor expansion of 0.125 in n 2.519 * [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 2.519 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 2.519 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.519 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.519 * [taylor]: Taking taylor expansion of 2.0 in n 2.519 * [taylor]: Taking taylor expansion of (* n PI) in n 2.519 * [taylor]: Taking taylor expansion of n in n 2.519 * [taylor]: Taking taylor expansion of PI in n 2.520 * [taylor]: Taking taylor expansion of NAN in n 2.520 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.520 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.520 * [taylor]: Taking taylor expansion of 0.5 in n 2.520 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.520 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.520 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.520 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.520 * [taylor]: Taking taylor expansion of 1.0 in n 2.520 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.520 * [taylor]: Taking taylor expansion of 2.0 in n 2.520 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.520 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.520 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.520 * [taylor]: Taking taylor expansion of 1.0 in n 2.520 * [taylor]: Taking taylor expansion of (log n) in n 2.520 * [taylor]: Taking taylor expansion of n in n 2.520 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.520 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.520 * [taylor]: Taking taylor expansion of 1.0 in n 2.520 * [taylor]: Taking taylor expansion of (log PI) in n 2.520 * [taylor]: Taking taylor expansion of PI in n 2.521 * [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 2.521 * [taylor]: Taking taylor expansion of 0.5 in n 2.521 * [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 2.521 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 2.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.521 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.521 * [taylor]: Taking taylor expansion of 2.0 in n 2.521 * [taylor]: Taking taylor expansion of (* n PI) in n 2.521 * [taylor]: Taking taylor expansion of n in n 2.521 * [taylor]: Taking taylor expansion of PI in n 2.521 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.521 * [taylor]: Taking taylor expansion of NAN in n 2.521 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.521 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.521 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.521 * [taylor]: Taking taylor expansion of 0.5 in n 2.521 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.521 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.521 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.521 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.521 * [taylor]: Taking taylor expansion of 1.0 in n 2.521 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.521 * [taylor]: Taking taylor expansion of 2.0 in n 2.522 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.522 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.522 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.522 * [taylor]: Taking taylor expansion of 1.0 in n 2.522 * [taylor]: Taking taylor expansion of (log n) in n 2.522 * [taylor]: Taking taylor expansion of n in n 2.522 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.522 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.522 * [taylor]: Taking taylor expansion of 1.0 in n 2.522 * [taylor]: Taking taylor expansion of (log PI) in n 2.522 * [taylor]: Taking taylor expansion of PI in n 2.535 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (k n) around 0 2.535 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 2.535 * [taylor]: Taking taylor expansion of 1.0 in n 2.535 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 2.535 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.535 * [taylor]: Taking taylor expansion of k in n 2.535 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 2.535 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.535 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.535 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.535 * [taylor]: Taking taylor expansion of 0.5 in n 2.535 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.535 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.535 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.535 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.535 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.535 * [taylor]: Taking taylor expansion of 1.0 in n 2.535 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.535 * [taylor]: Taking taylor expansion of 2.0 in n 2.536 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.536 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.536 * [taylor]: Taking taylor expansion of 1.0 in n 2.536 * [taylor]: Taking taylor expansion of (log PI) in n 2.536 * [taylor]: Taking taylor expansion of PI in n 2.536 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.536 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.536 * [taylor]: Taking taylor expansion of 1.0 in n 2.536 * [taylor]: Taking taylor expansion of (log n) in n 2.536 * [taylor]: Taking taylor expansion of n in n 2.537 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 2.537 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.537 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.537 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.537 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.537 * [taylor]: Taking taylor expansion of 0.5 in n 2.537 * [taylor]: Taking taylor expansion of k in n 2.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.537 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.537 * [taylor]: Taking taylor expansion of 2.0 in n 2.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.537 * [taylor]: Taking taylor expansion of PI in n 2.537 * [taylor]: Taking taylor expansion of n in n 2.537 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 2.537 * [taylor]: Taking taylor expansion of 1.0 in k 2.537 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.537 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.537 * [taylor]: Taking taylor expansion of k in k 2.537 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.537 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.537 * [taylor]: Taking taylor expansion of 0.5 in k 2.537 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.537 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.537 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.537 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.538 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.538 * [taylor]: Taking taylor expansion of 1.0 in k 2.538 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.538 * [taylor]: Taking taylor expansion of 2.0 in k 2.538 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.538 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.538 * [taylor]: Taking taylor expansion of 1.0 in k 2.538 * [taylor]: Taking taylor expansion of (log PI) in k 2.538 * [taylor]: Taking taylor expansion of PI in k 2.538 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.538 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.538 * [taylor]: Taking taylor expansion of 1.0 in k 2.538 * [taylor]: Taking taylor expansion of (log n) in k 2.538 * [taylor]: Taking taylor expansion of n in k 2.539 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.539 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.539 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.539 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.539 * [taylor]: Taking taylor expansion of 0.5 in k 2.539 * [taylor]: Taking taylor expansion of k in k 2.539 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.539 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.539 * [taylor]: Taking taylor expansion of 2.0 in k 2.539 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.539 * [taylor]: Taking taylor expansion of PI in k 2.539 * [taylor]: Taking taylor expansion of n in k 2.539 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 2.539 * [taylor]: Taking taylor expansion of 1.0 in k 2.539 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 2.539 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.539 * [taylor]: Taking taylor expansion of k in k 2.539 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 2.539 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.539 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.539 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.539 * [taylor]: Taking taylor expansion of 0.5 in k 2.539 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.539 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.539 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 2.539 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.539 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.539 * [taylor]: Taking taylor expansion of 1.0 in k 2.540 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.540 * [taylor]: Taking taylor expansion of 2.0 in k 2.540 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.540 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.540 * [taylor]: Taking taylor expansion of 1.0 in k 2.540 * [taylor]: Taking taylor expansion of (log PI) in k 2.540 * [taylor]: Taking taylor expansion of PI in k 2.540 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.540 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.540 * [taylor]: Taking taylor expansion of 1.0 in k 2.540 * [taylor]: Taking taylor expansion of (log n) in k 2.540 * [taylor]: Taking taylor expansion of n in k 2.541 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 2.541 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.541 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.541 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.541 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.541 * [taylor]: Taking taylor expansion of 0.5 in k 2.541 * [taylor]: Taking taylor expansion of k in k 2.541 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.541 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.541 * [taylor]: Taking taylor expansion of 2.0 in k 2.541 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.541 * [taylor]: Taking taylor expansion of PI in k 2.541 * [taylor]: Taking taylor expansion of n in k 2.542 * [taylor]: Taking taylor expansion of 0 in n 2.544 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ NAN (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 2.545 * [taylor]: Taking taylor expansion of 1.0 in n 2.545 * [taylor]: Taking taylor expansion of (* (/ NAN (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 2.545 * [taylor]: Taking taylor expansion of (/ NAN (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 2.545 * [taylor]: Taking taylor expansion of NAN in n 2.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 2.545 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 2.545 * [taylor]: Taking taylor expansion of 0.5 in n 2.545 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 2.545 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.545 * [taylor]: Taking taylor expansion of 2.0 in n 2.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.545 * [taylor]: Taking taylor expansion of PI in n 2.545 * [taylor]: Taking taylor expansion of n in n 2.545 * [taylor]: Taking taylor expansion of k in n 2.545 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.545 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.545 * [taylor]: Taking taylor expansion of 0.5 in n 2.545 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.545 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.545 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.545 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.545 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.545 * [taylor]: Taking taylor expansion of 1.0 in n 2.545 * [taylor]: Taking taylor expansion of (log PI) in n 2.545 * [taylor]: Taking taylor expansion of PI in n 2.545 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.546 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.546 * [taylor]: Taking taylor expansion of 1.0 in n 2.546 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.546 * [taylor]: Taking taylor expansion of 2.0 in n 2.546 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.546 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.546 * [taylor]: Taking taylor expansion of 1.0 in n 2.546 * [taylor]: Taking taylor expansion of (log n) in n 2.546 * [taylor]: Taking taylor expansion of n in n 2.552 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow NAN 3) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 2.552 * [taylor]: Taking taylor expansion of 1.0 in n 2.552 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ (pow NAN 3) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 2.552 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.552 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.552 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.552 * [taylor]: Taking taylor expansion of 0.5 in n 2.552 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.552 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.552 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 2.552 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.552 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.552 * [taylor]: Taking taylor expansion of 1.0 in n 2.552 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.552 * [taylor]: Taking taylor expansion of 2.0 in n 2.552 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.552 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.552 * [taylor]: Taking taylor expansion of 1.0 in n 2.552 * [taylor]: Taking taylor expansion of (log PI) in n 2.552 * [taylor]: Taking taylor expansion of PI in n 2.552 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.552 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.552 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.552 * [taylor]: Taking taylor expansion of 1.0 in n 2.552 * [taylor]: Taking taylor expansion of (log n) in n 2.552 * [taylor]: Taking taylor expansion of n in n 2.553 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 2.553 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.553 * [taylor]: Taking taylor expansion of NAN in n 2.553 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 2.553 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 2.553 * [taylor]: Taking taylor expansion of 0.5 in n 2.554 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 2.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.554 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.554 * [taylor]: Taking taylor expansion of 2.0 in n 2.554 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.554 * [taylor]: Taking taylor expansion of PI in n 2.554 * [taylor]: Taking taylor expansion of n in n 2.554 * [taylor]: Taking taylor expansion of k in n 2.564 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ (pow NAN 5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 2.564 * [taylor]: Taking taylor expansion of 1.0 in n 2.564 * [taylor]: Taking taylor expansion of (* (/ (pow NAN 5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 2.564 * [taylor]: Taking taylor expansion of (/ (pow NAN 5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 2.564 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.564 * [taylor]: Taking taylor expansion of NAN in n 2.564 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 2.564 * [taylor]: Taking taylor expansion of 0.5 in n 2.564 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 2.564 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.564 * [taylor]: Taking taylor expansion of 2.0 in n 2.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.564 * [taylor]: Taking taylor expansion of PI in n 2.564 * [taylor]: Taking taylor expansion of n in n 2.564 * [taylor]: Taking taylor expansion of k in n 2.565 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.565 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.565 * [taylor]: Taking taylor expansion of 0.5 in n 2.565 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.565 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.565 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (log PI) in n 2.565 * [taylor]: Taking taylor expansion of PI in n 2.565 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.565 * [taylor]: Taking taylor expansion of 2.0 in n 2.565 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (log n) in n 2.565 * [taylor]: Taking taylor expansion of n in n 2.572 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 2.572 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.572 * [taylor]: Taking taylor expansion of 1.0 in n 2.572 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.572 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.572 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.572 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.572 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.572 * [taylor]: Taking taylor expansion of -1 in n 2.572 * [taylor]: Taking taylor expansion of k in n 2.572 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.572 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.572 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.572 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.572 * [taylor]: Taking taylor expansion of -0.5 in n 2.572 * [taylor]: Taking taylor expansion of k in n 2.572 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.572 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.572 * [taylor]: Taking taylor expansion of -2.0 in n 2.572 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.572 * [taylor]: Taking taylor expansion of PI in n 2.572 * [taylor]: Taking taylor expansion of n in n 2.573 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.573 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.573 * [taylor]: Taking taylor expansion of 0.5 in n 2.573 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.573 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.573 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.573 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.573 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.573 * [taylor]: Taking taylor expansion of 1.0 in n 2.573 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.573 * [taylor]: Taking taylor expansion of -2.0 in n 2.573 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.573 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.573 * [taylor]: Taking taylor expansion of 1.0 in n 2.573 * [taylor]: Taking taylor expansion of (log PI) in n 2.573 * [taylor]: Taking taylor expansion of PI in n 2.573 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.573 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.573 * [taylor]: Taking taylor expansion of 1.0 in n 2.573 * [taylor]: Taking taylor expansion of (log n) in n 2.573 * [taylor]: Taking taylor expansion of n in n 2.574 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.574 * [taylor]: Taking taylor expansion of 1.0 in k 2.574 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.574 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.574 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.574 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.574 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.574 * [taylor]: Taking taylor expansion of -1 in k 2.574 * [taylor]: Taking taylor expansion of k in k 2.574 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.574 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.574 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.574 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.574 * [taylor]: Taking taylor expansion of -0.5 in k 2.574 * [taylor]: Taking taylor expansion of k in k 2.574 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.574 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.574 * [taylor]: Taking taylor expansion of -2.0 in k 2.574 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.574 * [taylor]: Taking taylor expansion of PI in k 2.574 * [taylor]: Taking taylor expansion of n in k 2.575 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.575 * [taylor]: Taking taylor expansion of 0.5 in k 2.575 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.575 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.575 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.575 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.575 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.575 * [taylor]: Taking taylor expansion of 1.0 in k 2.575 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.575 * [taylor]: Taking taylor expansion of -2.0 in k 2.575 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.575 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.575 * [taylor]: Taking taylor expansion of 1.0 in k 2.575 * [taylor]: Taking taylor expansion of (log PI) in k 2.575 * [taylor]: Taking taylor expansion of PI in k 2.575 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.575 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.575 * [taylor]: Taking taylor expansion of 1.0 in k 2.575 * [taylor]: Taking taylor expansion of (log n) in k 2.575 * [taylor]: Taking taylor expansion of n in k 2.576 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.576 * [taylor]: Taking taylor expansion of 1.0 in k 2.576 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.576 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.576 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.576 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.576 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.576 * [taylor]: Taking taylor expansion of -1 in k 2.576 * [taylor]: Taking taylor expansion of k in k 2.576 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.576 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.576 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.576 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.576 * [taylor]: Taking taylor expansion of -0.5 in k 2.576 * [taylor]: Taking taylor expansion of k in k 2.577 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.577 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.577 * [taylor]: Taking taylor expansion of -2.0 in k 2.577 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.577 * [taylor]: Taking taylor expansion of PI in k 2.577 * [taylor]: Taking taylor expansion of n in k 2.577 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.577 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.577 * [taylor]: Taking taylor expansion of 0.5 in k 2.577 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.577 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.577 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.577 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.577 * [taylor]: Taking taylor expansion of 1.0 in k 2.577 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.577 * [taylor]: Taking taylor expansion of -2.0 in k 2.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.577 * [taylor]: Taking taylor expansion of 1.0 in k 2.577 * [taylor]: Taking taylor expansion of (log PI) in k 2.577 * [taylor]: Taking taylor expansion of PI in k 2.577 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.577 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.577 * [taylor]: Taking taylor expansion of 1.0 in k 2.578 * [taylor]: Taking taylor expansion of (log n) in k 2.578 * [taylor]: Taking taylor expansion of n in k 2.579 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.579 * [taylor]: Taking taylor expansion of 1.0 in n 2.579 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.579 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN)) in n 2.579 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) NAN) in n 2.579 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 2.579 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 2.579 * [taylor]: Taking taylor expansion of -0.5 in n 2.579 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 2.579 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.579 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.579 * [taylor]: Taking taylor expansion of -2.0 in n 2.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.579 * [taylor]: Taking taylor expansion of PI in n 2.579 * [taylor]: Taking taylor expansion of n in n 2.579 * [taylor]: Taking taylor expansion of k in n 2.580 * [taylor]: Taking taylor expansion of NAN in n 2.580 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.580 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.580 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.580 * [taylor]: Taking taylor expansion of 0.5 in n 2.580 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.580 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.580 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.580 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.580 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.580 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.580 * [taylor]: Taking taylor expansion of 1.0 in n 2.580 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.580 * [taylor]: Taking taylor expansion of -2.0 in n 2.580 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.580 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.580 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.580 * [taylor]: Taking taylor expansion of 1.0 in n 2.580 * [taylor]: Taking taylor expansion of (log PI) in n 2.580 * [taylor]: Taking taylor expansion of PI in n 2.580 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.580 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.580 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.580 * [taylor]: Taking taylor expansion of 1.0 in n 2.580 * [taylor]: Taking taylor expansion of (log n) in n 2.580 * [taylor]: Taking taylor expansion of n in n 2.585 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (/ NAN (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 2.585 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ NAN (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (* (/ NAN (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.586 * [taylor]: Taking taylor expansion of (/ NAN (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 2.586 * [taylor]: Taking taylor expansion of NAN in n 2.586 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 2.586 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 2.586 * [taylor]: Taking taylor expansion of -0.5 in n 2.586 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 2.586 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.586 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.586 * [taylor]: Taking taylor expansion of -2.0 in n 2.586 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.586 * [taylor]: Taking taylor expansion of PI in n 2.586 * [taylor]: Taking taylor expansion of n in n 2.586 * [taylor]: Taking taylor expansion of k in n 2.586 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.586 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.586 * [taylor]: Taking taylor expansion of 0.5 in n 2.586 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.586 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.586 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.586 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.586 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.586 * [taylor]: Taking taylor expansion of -2.0 in n 2.586 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.586 * [taylor]: Taking taylor expansion of 1.0 in n 2.587 * [taylor]: Taking taylor expansion of (log PI) in n 2.587 * [taylor]: Taking taylor expansion of PI in n 2.587 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.587 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.587 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.587 * [taylor]: Taking taylor expansion of 1.0 in n 2.587 * [taylor]: Taking taylor expansion of (log n) in n 2.587 * [taylor]: Taking taylor expansion of n in n 2.596 * [taylor]: Taking taylor expansion of 0 in n 2.609 * [taylor]: Taking taylor expansion of 0 in n 2.610 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.610 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.610 * [taylor]: Taking taylor expansion of 1.0 in k 2.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.610 * [taylor]: Taking taylor expansion of k in k 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.610 * [taylor]: Taking taylor expansion of 1.0 in k 2.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.610 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.610 * [taylor]: Taking taylor expansion of k in k 2.611 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.611 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.611 * [taylor]: Taking taylor expansion of 1.0 in k 2.611 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.611 * [taylor]: Taking taylor expansion of k in k 2.611 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.611 * [taylor]: Taking taylor expansion of 1.0 in k 2.611 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.611 * [taylor]: Taking taylor expansion of k in k 2.612 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.612 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.612 * [taylor]: Taking taylor expansion of 1.0 in k 2.612 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.612 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.612 * [taylor]: Taking taylor expansion of -1 in k 2.612 * [taylor]: Taking taylor expansion of k in k 2.612 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.612 * [taylor]: Taking taylor expansion of 1.0 in k 2.613 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.613 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.613 * [taylor]: Taking taylor expansion of -1 in k 2.613 * [taylor]: Taking taylor expansion of k in k 2.617 * * * [progress]: simplifying candidates 2.621 * [simplify]: Simplifying using # : (* (* 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) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- 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1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (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) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (/ (* (* (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) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 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2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 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(log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (+ (* (log (* (* 2.0 PI) n)) (- (/ 1.0 2.0) (/ k 2.0))) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (* (cbrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (* (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) (/ (/ k 2.0) 2)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ k 2.0))) (/ (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt k)) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (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)) (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)) (/ (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) (/ (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 (/ 1.0 (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 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (- (+ (+ (* (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))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2)))))) (* (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)) 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))) (* 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 (+ (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* 1.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))))) (* 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))) 2.669 * * * [progress]: adding candidates to table 3.943 * * [progress]: iteration 4 / 4 3.943 * * * [progress]: picking best candidate 3.988 * * * * [pick]: Picked # 3.988 * * * [progress]: localizing error 4.004 * * * [progress]: generating rewritten candidates 4.004 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 4.012 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 4.018 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.031 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.048 * * * [progress]: generating series expansions 4.048 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 4.048 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.048 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.048 * [taylor]: Taking taylor expansion of 2.0 in n 4.048 * [taylor]: Taking taylor expansion of (* n PI) in n 4.048 * [taylor]: Taking taylor expansion of n in n 4.048 * [taylor]: Taking taylor expansion of PI in n 4.048 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.048 * [taylor]: Taking taylor expansion of 2.0 in n 4.048 * [taylor]: Taking taylor expansion of (* n PI) in n 4.048 * [taylor]: Taking taylor expansion of n in n 4.048 * [taylor]: Taking taylor expansion of PI in n 4.049 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.049 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.049 * [taylor]: Taking taylor expansion of 2.0 in n 4.049 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.049 * [taylor]: Taking taylor expansion of PI in n 4.049 * [taylor]: Taking taylor expansion of n in n 4.049 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.049 * [taylor]: Taking taylor expansion of 2.0 in n 4.049 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.049 * [taylor]: Taking taylor expansion of PI in n 4.049 * [taylor]: Taking taylor expansion of n in n 4.050 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in (n) around 0 4.050 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.050 * [taylor]: Taking taylor expansion of 2.0 in n 4.050 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.050 * [taylor]: Taking taylor expansion of PI in n 4.050 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.050 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.050 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.050 * [taylor]: Taking taylor expansion of -1 in n 4.050 * [taylor]: Taking taylor expansion of n in n 4.050 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.050 * [taylor]: Taking taylor expansion of 2.0 in n 4.050 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.050 * [taylor]: Taking taylor expansion of PI in n 4.050 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.050 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.050 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.050 * [taylor]: Taking taylor expansion of -1 in n 4.050 * [taylor]: Taking taylor expansion of n in n 4.052 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 4.052 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in (n) around 0 4.052 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.052 * [taylor]: Taking taylor expansion of 2.0 in n 4.052 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.052 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.052 * [taylor]: Taking taylor expansion of n in n 4.052 * [taylor]: Taking taylor expansion of PI in n 4.052 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt n) PI)) in n 4.052 * [taylor]: Taking taylor expansion of 2.0 in n 4.053 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 4.053 * [taylor]: Taking taylor expansion of (sqrt n) in n 4.053 * [taylor]: Taking taylor expansion of n in n 4.053 * [taylor]: Taking taylor expansion of PI in n 4.054 * [approximate]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in (n) around 0 4.054 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.054 * [taylor]: Taking taylor expansion of 2.0 in n 4.054 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.054 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.054 * [taylor]: Taking taylor expansion of n in n 4.054 * [taylor]: Taking taylor expansion of PI in n 4.054 * [taylor]: Taking taylor expansion of (* 2.0 (* (sqrt (/ 1 n)) PI)) in n 4.054 * [taylor]: Taking taylor expansion of 2.0 in n 4.054 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 4.054 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 4.054 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.054 * [taylor]: Taking taylor expansion of n in n 4.054 * [taylor]: Taking taylor expansion of PI in n 4.056 * [approximate]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in (n) around 0 4.056 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.056 * [taylor]: Taking taylor expansion of 2.0 in n 4.056 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.056 * [taylor]: Taking taylor expansion of PI in n 4.056 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.056 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.056 * [taylor]: Taking taylor expansion of -1 in n 4.056 * [taylor]: Taking taylor expansion of n in n 4.056 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (sqrt (/ -1 n)))) in n 4.056 * [taylor]: Taking taylor expansion of 2.0 in n 4.056 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 4.056 * [taylor]: Taking taylor expansion of PI in n 4.056 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.056 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.056 * [taylor]: Taking taylor expansion of -1 in n 4.056 * [taylor]: Taking taylor expansion of n in n 4.057 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.058 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.058 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.058 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.058 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.058 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.058 * [taylor]: Taking taylor expansion of 0.5 in k 4.058 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.058 * [taylor]: Taking taylor expansion of 1.0 in k 4.058 * [taylor]: Taking taylor expansion of k in k 4.058 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.058 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.058 * [taylor]: Taking taylor expansion of 2.0 in k 4.058 * [taylor]: Taking taylor expansion of (* n PI) in k 4.058 * [taylor]: Taking taylor expansion of n in k 4.058 * [taylor]: Taking taylor expansion of PI in k 4.058 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.058 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.058 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.058 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.058 * [taylor]: Taking taylor expansion of 0.5 in n 4.058 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.058 * [taylor]: Taking taylor expansion of 1.0 in n 4.058 * [taylor]: Taking taylor expansion of k in n 4.058 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.058 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.058 * [taylor]: Taking taylor expansion of 2.0 in n 4.058 * [taylor]: Taking taylor expansion of (* n PI) in n 4.058 * [taylor]: Taking taylor expansion of n in n 4.058 * [taylor]: Taking taylor expansion of PI in n 4.059 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.059 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.059 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.059 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.059 * [taylor]: Taking taylor expansion of 0.5 in n 4.059 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.059 * [taylor]: Taking taylor expansion of 1.0 in n 4.059 * [taylor]: Taking taylor expansion of k in n 4.059 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.059 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.059 * [taylor]: Taking taylor expansion of 2.0 in n 4.059 * [taylor]: Taking taylor expansion of (* n PI) in n 4.059 * [taylor]: Taking taylor expansion of n in n 4.059 * [taylor]: Taking taylor expansion of PI in n 4.059 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.059 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.059 * [taylor]: Taking taylor expansion of 0.5 in k 4.059 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.059 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.059 * [taylor]: Taking taylor expansion of 1.0 in k 4.059 * [taylor]: Taking taylor expansion of k in k 4.059 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.059 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.059 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.059 * [taylor]: Taking taylor expansion of 2.0 in k 4.059 * [taylor]: Taking taylor expansion of PI in k 4.059 * [taylor]: Taking taylor expansion of (log n) in k 4.059 * [taylor]: Taking taylor expansion of n in k 4.060 * [taylor]: Taking taylor expansion of 0 in k 4.061 * [taylor]: Taking taylor expansion of 0 in k 4.063 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.064 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.064 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.064 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.064 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.064 * [taylor]: Taking taylor expansion of 0.5 in k 4.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.064 * [taylor]: Taking taylor expansion of 1.0 in k 4.064 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.064 * [taylor]: Taking taylor expansion of k in k 4.064 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.064 * [taylor]: Taking taylor expansion of 2.0 in k 4.064 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.064 * [taylor]: Taking taylor expansion of PI in k 4.064 * [taylor]: Taking taylor expansion of n in k 4.064 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.064 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.064 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.064 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.064 * [taylor]: Taking taylor expansion of 0.5 in n 4.064 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.064 * [taylor]: Taking taylor expansion of 1.0 in n 4.064 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.064 * [taylor]: Taking taylor expansion of k in n 4.064 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.064 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.064 * [taylor]: Taking taylor expansion of 2.0 in n 4.064 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.064 * [taylor]: Taking taylor expansion of PI in n 4.064 * [taylor]: Taking taylor expansion of n in n 4.065 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.065 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.065 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.065 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.065 * [taylor]: Taking taylor expansion of 0.5 in n 4.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.065 * [taylor]: Taking taylor expansion of 1.0 in n 4.065 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.065 * [taylor]: Taking taylor expansion of k in n 4.065 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.065 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.065 * [taylor]: Taking taylor expansion of 2.0 in n 4.065 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.065 * [taylor]: Taking taylor expansion of PI in n 4.065 * [taylor]: Taking taylor expansion of n in n 4.065 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.065 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.065 * [taylor]: Taking taylor expansion of 0.5 in k 4.065 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.065 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.065 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.065 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.065 * [taylor]: Taking taylor expansion of 2.0 in k 4.065 * [taylor]: Taking taylor expansion of PI in k 4.065 * [taylor]: Taking taylor expansion of (log n) in k 4.065 * [taylor]: Taking taylor expansion of n in k 4.065 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.065 * [taylor]: Taking taylor expansion of 1.0 in k 4.066 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.066 * [taylor]: Taking taylor expansion of k in k 4.066 * [taylor]: Taking taylor expansion of 0 in k 4.070 * [taylor]: Taking taylor expansion of 0 in k 4.071 * [taylor]: Taking taylor expansion of 0 in k 4.071 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.071 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.071 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 4.071 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 4.071 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.071 * [taylor]: Taking taylor expansion of 0.5 in k 4.071 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.071 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.071 * [taylor]: Taking taylor expansion of k in k 4.071 * [taylor]: Taking taylor expansion of 1.0 in k 4.071 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 4.071 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 4.071 * [taylor]: Taking taylor expansion of 2.0 in k 4.071 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 4.071 * [taylor]: Taking taylor expansion of PI in k 4.071 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 4.071 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.071 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.071 * [taylor]: Taking taylor expansion of -1 in k 4.071 * [taylor]: Taking taylor expansion of n in k 4.072 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 4.072 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 4.072 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.072 * [taylor]: Taking taylor expansion of 0.5 in n 4.072 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.072 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.072 * [taylor]: Taking taylor expansion of k in n 4.072 * [taylor]: Taking taylor expansion of 1.0 in n 4.072 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.072 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.072 * [taylor]: Taking taylor expansion of 2.0 in n 4.072 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.072 * [taylor]: Taking taylor expansion of PI in n 4.072 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.072 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.072 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.072 * [taylor]: Taking taylor expansion of -1 in n 4.072 * [taylor]: Taking taylor expansion of n in n 4.073 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.073 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 4.073 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 4.073 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.073 * [taylor]: Taking taylor expansion of 0.5 in n 4.073 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.073 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.073 * [taylor]: Taking taylor expansion of k in n 4.073 * [taylor]: Taking taylor expansion of 1.0 in n 4.073 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.073 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.073 * [taylor]: Taking taylor expansion of 2.0 in n 4.073 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.073 * [taylor]: Taking taylor expansion of PI in n 4.073 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.073 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.073 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.073 * [taylor]: Taking taylor expansion of -1 in n 4.073 * [taylor]: Taking taylor expansion of n in n 4.074 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 4.074 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 4.074 * [taylor]: Taking taylor expansion of 0.5 in k 4.074 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 4.074 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.074 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.074 * [taylor]: Taking taylor expansion of k in k 4.074 * [taylor]: Taking taylor expansion of 1.0 in k 4.074 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 4.074 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 4.074 * [taylor]: Taking taylor expansion of 2.0 in k 4.074 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 4.074 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 4.074 * [taylor]: Taking taylor expansion of NAN in k 4.074 * [taylor]: Taking taylor expansion of PI in k 4.076 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (+ (* 1.0 (pow NAN 2)) (* 1.0 (/ (pow NAN 2) k)))) in k 4.076 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 4.076 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 4.076 * [taylor]: Taking taylor expansion of 0.5 in k 4.076 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 4.076 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.076 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.076 * [taylor]: Taking taylor expansion of k in k 4.076 * [taylor]: Taking taylor expansion of 1.0 in k 4.076 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 4.076 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 4.076 * [taylor]: Taking taylor expansion of 2.0 in k 4.076 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 4.076 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 4.076 * [taylor]: Taking taylor expansion of NAN in k 4.076 * [taylor]: Taking taylor expansion of PI in k 4.077 * [taylor]: Taking taylor expansion of (+ (* 1.0 (pow NAN 2)) (* 1.0 (/ (pow NAN 2) k))) in k 4.077 * [taylor]: Taking taylor expansion of (* 1.0 (pow NAN 2)) in k 4.077 * [taylor]: Taking taylor expansion of 1.0 in k 4.077 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 4.077 * [taylor]: Taking taylor expansion of NAN in k 4.077 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow NAN 2) k)) in k 4.077 * [taylor]: Taking taylor expansion of 1.0 in k 4.077 * [taylor]: Taking taylor expansion of (/ (pow NAN 2) k) in k 4.077 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 4.077 * [taylor]: Taking taylor expansion of NAN in k 4.077 * [taylor]: Taking taylor expansion of k in k 4.081 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) (- (+ (* 0.5 (/ (pow NAN 4) (pow k 2))) (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4)))) (+ (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2))))))) in k 4.081 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))))) in k 4.081 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI))))) in k 4.081 * [taylor]: Taking taylor expansion of 0.5 in k 4.081 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* 2.0 (* (pow NAN 2) PI)))) in k 4.081 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.081 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.081 * [taylor]: Taking taylor expansion of k in k 4.081 * [taylor]: Taking taylor expansion of 1.0 in k 4.081 * [taylor]: Taking taylor expansion of (log (* 2.0 (* (pow NAN 2) PI))) in k 4.081 * [taylor]: Taking taylor expansion of (* 2.0 (* (pow NAN 2) PI)) in k 4.081 * [taylor]: Taking taylor expansion of 2.0 in k 4.081 * [taylor]: Taking taylor expansion of (* (pow NAN 2) PI) in k 4.081 * [taylor]: Taking taylor expansion of (pow NAN 2) in k 4.081 * [taylor]: Taking taylor expansion of NAN in k 4.081 * [taylor]: Taking taylor expansion of PI in k 4.081 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (/ (pow NAN 4) (pow k 2))) (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4)))) (+ (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2)))))) in k 4.081 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ (pow NAN 4) (pow k 2))) (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4)))) in k 4.081 * [taylor]: Taking taylor expansion of (* 0.5 (/ (pow NAN 4) (pow k 2))) in k 4.081 * [taylor]: Taking taylor expansion of 0.5 in k 4.081 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (pow k 2)) in k 4.081 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 4.082 * [taylor]: Taking taylor expansion of NAN in k 4.082 * [taylor]: Taking taylor expansion of (pow k 2) in k 4.082 * [taylor]: Taking taylor expansion of k in k 4.082 * [taylor]: Taking taylor expansion of (+ (* 2.5 (/ (pow NAN 4) k)) (* 2.0 (pow NAN 4))) in k 4.082 * [taylor]: Taking taylor expansion of (* 2.5 (/ (pow NAN 4) k)) in k 4.082 * [taylor]: Taking taylor expansion of 2.5 in k 4.082 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) k) in k 4.082 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 4.082 * [taylor]: Taking taylor expansion of NAN in k 4.082 * [taylor]: Taking taylor expansion of k in k 4.082 * [taylor]: Taking taylor expansion of (* 2.0 (pow NAN 4)) in k 4.082 * [taylor]: Taking taylor expansion of 2.0 in k 4.082 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 4.082 * [taylor]: Taking taylor expansion of NAN in k 4.082 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2))))) in k 4.082 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow NAN 4) (pow 2.0 2))) in k 4.082 * [taylor]: Taking taylor expansion of 4.0 in k 4.082 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (pow 2.0 2)) in k 4.082 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 4.082 * [taylor]: Taking taylor expansion of NAN in k 4.082 * [taylor]: Taking taylor expansion of (pow 2.0 2) in k 4.082 * [taylor]: Taking taylor expansion of 2.0 in k 4.082 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow NAN 4) (* k (pow 2.0 2)))) in k 4.082 * [taylor]: Taking taylor expansion of 4.0 in k 4.082 * [taylor]: Taking taylor expansion of (/ (pow NAN 4) (* k (pow 2.0 2))) in k 4.082 * [taylor]: Taking taylor expansion of (pow NAN 4) in k 4.082 * [taylor]: Taking taylor expansion of NAN in k 4.082 * [taylor]: Taking taylor expansion of (* k (pow 2.0 2)) in k 4.082 * [taylor]: Taking taylor expansion of k in k 4.082 * [taylor]: Taking taylor expansion of (pow 2.0 2) in k 4.082 * [taylor]: Taking taylor expansion of 2.0 in k 4.086 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.086 * [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 4.086 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.086 * [taylor]: Taking taylor expansion of 1.0 in n 4.086 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.086 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.086 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.086 * [taylor]: Taking taylor expansion of k in n 4.086 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.086 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.086 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.086 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.086 * [taylor]: Taking taylor expansion of 0.5 in n 4.086 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.087 * [taylor]: Taking taylor expansion of 1.0 in n 4.087 * [taylor]: Taking taylor expansion of k in n 4.087 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.087 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.087 * [taylor]: Taking taylor expansion of 2.0 in n 4.087 * [taylor]: Taking taylor expansion of (* n PI) in n 4.087 * [taylor]: Taking taylor expansion of n in n 4.087 * [taylor]: Taking taylor expansion of PI in n 4.087 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.087 * [taylor]: Taking taylor expansion of 1.0 in k 4.087 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.087 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.087 * [taylor]: Taking taylor expansion of k in k 4.087 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.087 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.087 * [taylor]: Taking taylor expansion of 0.5 in k 4.087 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.087 * [taylor]: Taking taylor expansion of 1.0 in k 4.087 * [taylor]: Taking taylor expansion of k in k 4.087 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.087 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.087 * [taylor]: Taking taylor expansion of 2.0 in k 4.087 * [taylor]: Taking taylor expansion of (* n PI) in k 4.087 * [taylor]: Taking taylor expansion of n in k 4.087 * [taylor]: Taking taylor expansion of PI in k 4.087 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.087 * [taylor]: Taking taylor expansion of 1.0 in k 4.087 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.087 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.088 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.088 * [taylor]: Taking taylor expansion of k in k 4.088 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.088 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.088 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.088 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.088 * [taylor]: Taking taylor expansion of 0.5 in k 4.088 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.088 * [taylor]: Taking taylor expansion of 1.0 in k 4.088 * [taylor]: Taking taylor expansion of k in k 4.088 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.088 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.088 * [taylor]: Taking taylor expansion of 2.0 in k 4.088 * [taylor]: Taking taylor expansion of (* n PI) in k 4.088 * [taylor]: Taking taylor expansion of n in k 4.088 * [taylor]: Taking taylor expansion of PI in k 4.088 * [taylor]: Taking taylor expansion of 0 in n 4.089 * [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 4.089 * [taylor]: Taking taylor expansion of 1.0 in n 4.089 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.089 * [taylor]: Taking taylor expansion of NAN in n 4.089 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.089 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.089 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.089 * [taylor]: Taking taylor expansion of 0.5 in n 4.089 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.089 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.089 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.089 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.089 * [taylor]: Taking taylor expansion of 1.0 in n 4.089 * [taylor]: Taking taylor expansion of (log PI) in n 4.089 * [taylor]: Taking taylor expansion of PI in n 4.089 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.089 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.089 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.089 * [taylor]: Taking taylor expansion of 1.0 in n 4.089 * [taylor]: Taking taylor expansion of (log n) in n 4.090 * [taylor]: Taking taylor expansion of n in n 4.090 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.090 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.090 * [taylor]: Taking taylor expansion of 1.0 in n 4.090 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.090 * [taylor]: Taking taylor expansion of 2.0 in n 4.093 * [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 4.093 * [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 4.093 * [taylor]: Taking taylor expansion of 1.0 in n 4.093 * [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 4.093 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.093 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.093 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.093 * [taylor]: Taking taylor expansion of 0.5 in n 4.094 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.094 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.094 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.094 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.094 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.094 * [taylor]: Taking taylor expansion of 1.0 in n 4.094 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.094 * [taylor]: Taking taylor expansion of 2.0 in n 4.094 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.094 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.094 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.094 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.094 * [taylor]: Taking taylor expansion of 1.0 in n 4.094 * [taylor]: Taking taylor expansion of (log n) in n 4.094 * [taylor]: Taking taylor expansion of n in n 4.094 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.094 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.094 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.094 * [taylor]: Taking taylor expansion of 1.0 in n 4.094 * [taylor]: Taking taylor expansion of (log PI) in n 4.094 * [taylor]: Taking taylor expansion of PI in n 4.095 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 4.095 * [taylor]: Taking taylor expansion of NAN in n 4.095 * [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 4.095 * [taylor]: Taking taylor expansion of 0.5 in n 4.095 * [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 4.095 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 4.095 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.095 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.095 * [taylor]: Taking taylor expansion of 2.0 in n 4.095 * [taylor]: Taking taylor expansion of (* n PI) in n 4.095 * [taylor]: Taking taylor expansion of n in n 4.095 * [taylor]: Taking taylor expansion of PI in n 4.095 * [taylor]: Taking taylor expansion of NAN in n 4.095 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.095 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.095 * [taylor]: Taking taylor expansion of 0.5 in n 4.095 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.095 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.095 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.095 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.095 * [taylor]: Taking taylor expansion of 1.0 in n 4.095 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.096 * [taylor]: Taking taylor expansion of 2.0 in n 4.096 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.096 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.096 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.096 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.096 * [taylor]: Taking taylor expansion of 1.0 in n 4.096 * [taylor]: Taking taylor expansion of (log n) in n 4.096 * [taylor]: Taking taylor expansion of n in n 4.096 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.096 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.096 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.096 * [taylor]: Taking taylor expansion of 1.0 in n 4.096 * [taylor]: Taking taylor expansion of (log PI) in n 4.096 * [taylor]: Taking taylor expansion of PI in n 4.106 * [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 4.106 * [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 4.106 * [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 4.106 * [taylor]: Taking taylor expansion of 0.125 in n 4.106 * [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 4.106 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 4.106 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.106 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.106 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.106 * [taylor]: Taking taylor expansion of 2.0 in n 4.106 * [taylor]: Taking taylor expansion of (* n PI) in n 4.106 * [taylor]: Taking taylor expansion of n in n 4.106 * [taylor]: Taking taylor expansion of PI in n 4.106 * [taylor]: Taking taylor expansion of NAN in n 4.106 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.106 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.106 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.106 * [taylor]: Taking taylor expansion of 0.5 in n 4.106 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.106 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.106 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.106 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.107 * [taylor]: Taking taylor expansion of 1.0 in n 4.107 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.107 * [taylor]: Taking taylor expansion of 2.0 in n 4.107 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.107 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.107 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.107 * [taylor]: Taking taylor expansion of 1.0 in n 4.107 * [taylor]: Taking taylor expansion of (log n) in n 4.107 * [taylor]: Taking taylor expansion of n in n 4.107 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.107 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.107 * [taylor]: Taking taylor expansion of 1.0 in n 4.107 * [taylor]: Taking taylor expansion of (log PI) in n 4.107 * [taylor]: Taking taylor expansion of PI in n 4.108 * [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 4.108 * [taylor]: Taking taylor expansion of 1.0 in n 4.108 * [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 4.108 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.108 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.108 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.108 * [taylor]: Taking taylor expansion of 0.5 in n 4.108 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.108 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.108 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.108 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.108 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.108 * [taylor]: Taking taylor expansion of 1.0 in n 4.108 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.108 * [taylor]: Taking taylor expansion of 2.0 in n 4.108 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.108 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.108 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.108 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.108 * [taylor]: Taking taylor expansion of 1.0 in n 4.108 * [taylor]: Taking taylor expansion of (log n) in n 4.108 * [taylor]: Taking taylor expansion of n in n 4.108 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.108 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.109 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.109 * [taylor]: Taking taylor expansion of 1.0 in n 4.109 * [taylor]: Taking taylor expansion of (log PI) in n 4.109 * [taylor]: Taking taylor expansion of PI in n 4.109 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 4.109 * [taylor]: Taking taylor expansion of NAN in n 4.109 * [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 4.110 * [taylor]: Taking taylor expansion of 0.5 in n 4.110 * [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 4.110 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 4.110 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.110 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.110 * [taylor]: Taking taylor expansion of 2.0 in n 4.110 * [taylor]: Taking taylor expansion of (* n PI) in n 4.110 * [taylor]: Taking taylor expansion of n in n 4.110 * [taylor]: Taking taylor expansion of PI in n 4.110 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 4.110 * [taylor]: Taking taylor expansion of NAN in n 4.110 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.110 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.110 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.110 * [taylor]: Taking taylor expansion of 0.5 in n 4.110 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.110 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.110 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.110 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.110 * [taylor]: Taking taylor expansion of 1.0 in n 4.110 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.110 * [taylor]: Taking taylor expansion of 2.0 in n 4.110 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.110 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.110 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.110 * [taylor]: Taking taylor expansion of 1.0 in n 4.110 * [taylor]: Taking taylor expansion of (log n) in n 4.110 * [taylor]: Taking taylor expansion of n in n 4.111 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.111 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.111 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.111 * [taylor]: Taking taylor expansion of 1.0 in n 4.111 * [taylor]: Taking taylor expansion of (log PI) in n 4.111 * [taylor]: Taking taylor expansion of PI in n 4.124 * [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 4.124 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.124 * [taylor]: Taking taylor expansion of 1.0 in n 4.124 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.124 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.124 * [taylor]: Taking taylor expansion of k in n 4.124 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.124 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.124 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.124 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.124 * [taylor]: Taking taylor expansion of 0.5 in n 4.124 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.124 * [taylor]: Taking taylor expansion of 1.0 in n 4.124 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.124 * [taylor]: Taking taylor expansion of k in n 4.124 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.124 * [taylor]: Taking taylor expansion of 2.0 in n 4.124 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.124 * [taylor]: Taking taylor expansion of PI in n 4.124 * [taylor]: Taking taylor expansion of n in n 4.125 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.125 * [taylor]: Taking taylor expansion of 1.0 in k 4.125 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.125 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.125 * [taylor]: Taking taylor expansion of k in k 4.125 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.125 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.125 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.125 * [taylor]: Taking taylor expansion of 0.5 in k 4.125 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.125 * [taylor]: Taking taylor expansion of 1.0 in k 4.125 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.125 * [taylor]: Taking taylor expansion of k in k 4.125 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.125 * [taylor]: Taking taylor expansion of 2.0 in k 4.125 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.125 * [taylor]: Taking taylor expansion of PI in k 4.125 * [taylor]: Taking taylor expansion of n in k 4.125 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.125 * [taylor]: Taking taylor expansion of 1.0 in k 4.125 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.125 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.125 * [taylor]: Taking taylor expansion of k in k 4.126 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.126 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.126 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.126 * [taylor]: Taking taylor expansion of 0.5 in k 4.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.126 * [taylor]: Taking taylor expansion of 1.0 in k 4.126 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.126 * [taylor]: Taking taylor expansion of k in k 4.126 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.126 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.126 * [taylor]: Taking taylor expansion of 2.0 in k 4.126 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.126 * [taylor]: Taking taylor expansion of PI in k 4.126 * [taylor]: Taking taylor expansion of n in k 4.126 * [taylor]: Taking taylor expansion of 0 in n 4.126 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.126 * [taylor]: Taking taylor expansion of 1.0 in n 4.126 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.126 * [taylor]: Taking taylor expansion of NAN in n 4.126 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.126 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.126 * [taylor]: Taking taylor expansion of 0.5 in n 4.127 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.127 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.127 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.127 * [taylor]: Taking taylor expansion of 2.0 in n 4.127 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.127 * [taylor]: Taking taylor expansion of PI in n 4.127 * [taylor]: Taking taylor expansion of n in n 4.127 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.127 * [taylor]: Taking taylor expansion of 1.0 in n 4.127 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.127 * [taylor]: Taking taylor expansion of k in n 4.128 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.128 * [taylor]: Taking taylor expansion of 1.0 in n 4.128 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.128 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 4.128 * [taylor]: Taking taylor expansion of NAN in n 4.128 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.128 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.128 * [taylor]: Taking taylor expansion of 0.5 in n 4.128 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.128 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.128 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.128 * [taylor]: Taking taylor expansion of 2.0 in n 4.128 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.128 * [taylor]: Taking taylor expansion of PI in n 4.128 * [taylor]: Taking taylor expansion of n in n 4.128 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.128 * [taylor]: Taking taylor expansion of 1.0 in n 4.128 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.128 * [taylor]: Taking taylor expansion of k in n 4.130 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.131 * [taylor]: Taking taylor expansion of 1.0 in n 4.131 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.131 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 4.131 * [taylor]: Taking taylor expansion of NAN in n 4.131 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.131 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.131 * [taylor]: Taking taylor expansion of 0.5 in n 4.131 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.131 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.131 * [taylor]: Taking taylor expansion of 2.0 in n 4.131 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.131 * [taylor]: Taking taylor expansion of PI in n 4.131 * [taylor]: Taking taylor expansion of n in n 4.131 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.131 * [taylor]: Taking taylor expansion of 1.0 in n 4.131 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.131 * [taylor]: Taking taylor expansion of k in n 4.133 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 4.133 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.133 * [taylor]: Taking taylor expansion of 1.0 in n 4.133 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.133 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.133 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in n 4.133 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in n 4.133 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.133 * [taylor]: Taking taylor expansion of 0.5 in n 4.133 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.133 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.133 * [taylor]: Taking taylor expansion of k in n 4.133 * [taylor]: Taking taylor expansion of 1.0 in n 4.133 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.133 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.133 * [taylor]: Taking taylor expansion of 2.0 in n 4.133 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.133 * [taylor]: Taking taylor expansion of PI in n 4.133 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.133 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.133 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.133 * [taylor]: Taking taylor expansion of -1 in n 4.133 * [taylor]: Taking taylor expansion of n in n 4.134 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.134 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.134 * [taylor]: Taking taylor expansion of -1 in n 4.134 * [taylor]: Taking taylor expansion of k in n 4.134 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.134 * [taylor]: Taking taylor expansion of 1.0 in k 4.134 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.134 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.134 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 4.134 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 4.134 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.134 * [taylor]: Taking taylor expansion of 0.5 in k 4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.134 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.134 * [taylor]: Taking taylor expansion of k in k 4.134 * [taylor]: Taking taylor expansion of 1.0 in k 4.134 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 4.134 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 4.134 * [taylor]: Taking taylor expansion of 2.0 in k 4.134 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 4.134 * [taylor]: Taking taylor expansion of PI in k 4.134 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 4.134 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.134 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.134 * [taylor]: Taking taylor expansion of -1 in k 4.134 * [taylor]: Taking taylor expansion of n in k 4.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.135 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.135 * [taylor]: Taking taylor expansion of -1 in k 4.135 * [taylor]: Taking taylor expansion of k in k 4.135 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.135 * [taylor]: Taking taylor expansion of 1.0 in k 4.135 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.135 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.135 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))))) in k 4.135 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))))) in k 4.135 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.135 * [taylor]: Taking taylor expansion of 0.5 in k 4.135 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.135 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.135 * [taylor]: Taking taylor expansion of k in k 4.135 * [taylor]: Taking taylor expansion of 1.0 in k 4.135 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in k 4.135 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in k 4.135 * [taylor]: Taking taylor expansion of 2.0 in k 4.136 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in k 4.136 * [taylor]: Taking taylor expansion of PI in k 4.136 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in k 4.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 4.136 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.136 * [taylor]: Taking taylor expansion of -1 in k 4.136 * [taylor]: Taking taylor expansion of n in k 4.136 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.136 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.136 * [taylor]: Taking taylor expansion of -1 in k 4.136 * [taylor]: Taking taylor expansion of k in k 4.137 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) NAN)) in n 4.137 * [taylor]: Taking taylor expansion of 1.0 in n 4.137 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) NAN) in n 4.137 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) in n 4.137 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))) in n 4.137 * [taylor]: Taking taylor expansion of 0.5 in n 4.137 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)) in n 4.137 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.137 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.137 * [taylor]: Taking taylor expansion of 2.0 in n 4.137 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.137 * [taylor]: Taking taylor expansion of PI in n 4.137 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.137 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.137 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.137 * [taylor]: Taking taylor expansion of -1 in n 4.137 * [taylor]: Taking taylor expansion of n in n 4.137 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.137 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.137 * [taylor]: Taking taylor expansion of k in n 4.137 * [taylor]: Taking taylor expansion of 1.0 in n 4.138 * [taylor]: Taking taylor expansion of NAN in n 4.139 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))))))) in n 4.139 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))))) in n 4.139 * [taylor]: Taking taylor expansion of 1.0 in n 4.139 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))))) in n 4.139 * [taylor]: Taking taylor expansion of NAN in n 4.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)))) in n 4.139 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0))) in n 4.139 * [taylor]: Taking taylor expansion of 0.5 in n 4.139 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) (+ (/ 1 k) 1.0)) in n 4.139 * [taylor]: Taking taylor expansion of (log (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2)))) in n 4.139 * [taylor]: Taking taylor expansion of (* 2.0 (* PI (pow (sqrt (/ -1 n)) 2))) in n 4.139 * [taylor]: Taking taylor expansion of 2.0 in n 4.139 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 4.139 * [taylor]: Taking taylor expansion of PI in n 4.139 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 4.139 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 4.139 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.139 * [taylor]: Taking taylor expansion of -1 in n 4.139 * [taylor]: Taking taylor expansion of n in n 4.139 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.139 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.139 * [taylor]: Taking taylor expansion of k in n 4.139 * [taylor]: Taking taylor expansion of 1.0 in n 4.144 * * * [progress]: simplifying candidates 4.146 * [simplify]: Simplifying using # : (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (exp (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (sqrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) 1) (* (sqrt n) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (+ (log (* 2.0 PI)) (log (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (* (* (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (sqrt (* (cbrt n) (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) 1) (* PI (sqrt n)) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 (sqrt 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1 1)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) 1) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (- 1.0 k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (+ (log 2.0) (log PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log (* 2.0 PI)) (log (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* (* 2.0 PI) (sqrt n))) (log (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (* 1.0 (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 2.0 (* (pow NAN 2) PI)) (* 6.0 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 4.0 (/ (* (pow NAN 4) PI) n))) (+ (* 2.0 (* (pow NAN 3) (* (pow n 2) PI))) (+ (* 2.0 (* NAN (* n PI))) (* 2.0 (* (pow NAN 5) (* (pow n 3) PI))))) (+ (* 2.0 (/ (* (pow NAN 5) PI) (pow n 2))) (+ (* 2.0 (/ (* (pow NAN 3) PI) n)) (* 2.0 (* NAN PI)))) (- (+ (* 2.0 (/ (* (pow NAN 5) PI) (pow n 2))) (* 2.0 (* NAN PI))) (* 2.0 (/ (* (pow NAN 3) PI) n))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (- (+ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 4)) (pow n 2)))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) n))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 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 (* (* k (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))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (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) (* NAN (pow (log n) 2))) (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 (* (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))))))))))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) 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 (* (* (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))) (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 (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k)) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2))) (* 1.0 (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (- (+ (* 1.0 (/ (* k (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN)) n)) (+ (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN) k)) (* 1.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN)))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN) n))) 4.159 * * [simplify]: iteration 0 : 1124 enodes (cost 1865 ) 4.180 * * [simplify]: iteration 1 : 5001 enodes (cost 1600 ) 4.189 * [simplify]: Simplified to: (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (pow (exp (* 2.0 PI)) n) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n)))) (cbrt (* (* (* 2.0 PI) (sqrt n)) (sqrt n))) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* (* 2.0 PI) (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* 2.0 PI) (* (sqrt n) (fabs (cbrt n)))) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* (* 2.0 PI) (sqrt n)) (sqrt 1)) (* (* (* 2.0 PI) (sqrt n)) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt n)) n (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) (sqrt n)) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (log (* (* 2.0 PI) (sqrt n))) (exp (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (pow (* (* 2.0 PI) (sqrt n)) 3) (* (cbrt (* (* 2.0 PI) (sqrt n))) (cbrt (* (* 2.0 PI) (sqrt n)))) (cbrt (* (* 2.0 PI) (sqrt n))) (pow (* (* 2.0 PI) (sqrt n)) 3) (sqrt (* (* 2.0 PI) (sqrt n))) (sqrt (* (* 2.0 PI) (sqrt n))) (* (* 2.0 PI) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* 2.0 (* PI (fabs (cbrt n)))) (* (* 2.0 PI) (sqrt (sqrt n))) (* (* 2.0 PI) (sqrt 1)) (* (* 2.0 PI) (sqrt (sqrt n))) (* 2.0 PI) (* PI (sqrt n)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (/ (- 1.0 k) 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (sqrt (- 1.0 k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (+ (sqrt 1.0) (sqrt k)) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1 (sqrt 2.0)) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (* 2 (/ (- 1.0 k) 2))) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (exp (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (- (+ (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (log 1.0)) (log (sqrt k))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 1.0) (* (sqrt k) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) 1.0) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* (* 2.0 PI) (sqrt n)) (sqrt n)) (/ (- 1.0 k) 2.0))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (cbrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt (cbrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (cbrt 1.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (cbrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt (cbrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt (sqrt k))) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 1.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (cbrt (sqrt k)) 1.0)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (cbrt k)) 1.0)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (sqrt k)) 1.0)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (sqrt k)) 1.0)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (sqrt k)) (/ (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) 1.0) (sqrt k)) (* (pow (* (* 2.0 PI) n) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (* 2.0 (* (pow NAN 2) PI)) (* 6.0 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 4.0 (/ (* (pow NAN 4) PI) n))) (* 2.0 (+ (* (pow NAN 3) (* (pow n 2) PI)) (+ (* NAN (* n PI)) (* (pow NAN 5) (* (pow n 3) PI))))) (* 2.0 (+ (/ (* (pow NAN 5) PI) (pow n 2)) (+ (/ (* (pow NAN 3) PI) n) (* NAN PI)))) (* 2.0 (- (+ (/ (* (pow NAN 5) PI) (pow n 2)) (* NAN PI)) (/ (* (pow NAN 3) PI) n))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (+ (* 1.0 (- (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 4)) (pow n 2)) (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) (pow NAN 2)) n))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI))))))) (- (- (+ (+ (* (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 (/ (* k (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN)) n)) (- (* 1.0 (+ (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN))) (* 1.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 (* (pow NAN 2) PI)))))) NAN) n)))) 4.190 * * * [progress]: adding candidates to table 5.402 * [progress]: [Phase 3 of 3] Extracting. 5.403 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 5.405 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 5.405 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 5.482 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # #) 5.563 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 5.641 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 5.715 * * * [regime]: Found split indices: #