25.537 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.188 * * * [progress]: [2/2] Setting up program. 0.192 * [progress]: [Phase 2 of 3] Improving. 0.192 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.193 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.194 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.198 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.206 * * [simplify]: iteration 3 : 114 enodes (cost 16 ) 0.227 * * [simplify]: iteration 4 : 301 enodes (cost 16 ) 0.289 * * [simplify]: iteration 5 : 853 enodes (cost 16 ) 0.540 * * [simplify]: iteration 6 : 3169 enodes (cost 16 ) 1.210 * * [simplify]: iteration done : 5001 enodes (cost 16 ) 1.210 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1.211 * * [progress]: iteration 1 / 4 1.211 * * * [progress]: picking best candidate 1.214 * * * * [pick]: Picked # 1.214 * * * [progress]: localizing error 1.233 * * * [progress]: generating rewritten candidates 1.233 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.244 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.248 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.254 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.272 * * * [progress]: generating series expansions 1.272 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.272 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.272 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.272 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.272 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.272 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.272 * [taylor]: Taking taylor expansion of 0.5 in k 1.272 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.272 * [taylor]: Taking taylor expansion of 1.0 in k 1.272 * [taylor]: Taking taylor expansion of k in k 1.272 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.272 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.272 * [taylor]: Taking taylor expansion of 2.0 in k 1.272 * [taylor]: Taking taylor expansion of (* n PI) in k 1.272 * [taylor]: Taking taylor expansion of n in k 1.273 * [taylor]: Taking taylor expansion of PI in k 1.273 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.273 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.273 * [taylor]: Taking taylor expansion of 0.5 in n 1.273 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.273 * [taylor]: Taking taylor expansion of 1.0 in n 1.273 * [taylor]: Taking taylor expansion of k in n 1.273 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.273 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.273 * [taylor]: Taking taylor expansion of 2.0 in n 1.273 * [taylor]: Taking taylor expansion of (* n PI) in n 1.273 * [taylor]: Taking taylor expansion of n in n 1.273 * [taylor]: Taking taylor expansion of PI in n 1.273 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.273 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.273 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.273 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.273 * [taylor]: Taking taylor expansion of 0.5 in n 1.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.274 * [taylor]: Taking taylor expansion of 1.0 in n 1.274 * [taylor]: Taking taylor expansion of k in n 1.274 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.274 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.274 * [taylor]: Taking taylor expansion of 2.0 in n 1.274 * [taylor]: Taking taylor expansion of (* n PI) in n 1.274 * [taylor]: Taking taylor expansion of n in n 1.274 * [taylor]: Taking taylor expansion of PI in n 1.274 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.274 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.274 * [taylor]: Taking taylor expansion of 0.5 in k 1.274 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.274 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.274 * [taylor]: Taking taylor expansion of 1.0 in k 1.274 * [taylor]: Taking taylor expansion of k in k 1.274 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.274 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.274 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.274 * [taylor]: Taking taylor expansion of 2.0 in k 1.274 * [taylor]: Taking taylor expansion of PI in k 1.274 * [taylor]: Taking taylor expansion of (log n) in k 1.274 * [taylor]: Taking taylor expansion of n in k 1.275 * [taylor]: Taking taylor expansion of 0 in k 1.277 * [taylor]: Taking taylor expansion of 0 in k 1.280 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.280 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.280 * [taylor]: Taking taylor expansion of 0.5 in k 1.280 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.280 * [taylor]: Taking taylor expansion of 1.0 in k 1.280 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.280 * [taylor]: Taking taylor expansion of k in k 1.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.280 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.280 * [taylor]: Taking taylor expansion of 2.0 in k 1.280 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.280 * [taylor]: Taking taylor expansion of PI in k 1.280 * [taylor]: Taking taylor expansion of n in k 1.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.281 * [taylor]: Taking taylor expansion of 0.5 in n 1.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.281 * [taylor]: Taking taylor expansion of 1.0 in n 1.281 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.281 * [taylor]: Taking taylor expansion of k in n 1.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.281 * [taylor]: Taking taylor expansion of 2.0 in n 1.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.281 * [taylor]: Taking taylor expansion of PI in n 1.281 * [taylor]: Taking taylor expansion of n in n 1.281 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.281 * [taylor]: Taking taylor expansion of 0.5 in n 1.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.281 * [taylor]: Taking taylor expansion of 1.0 in n 1.281 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.281 * [taylor]: Taking taylor expansion of k in n 1.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.281 * [taylor]: Taking taylor expansion of 2.0 in n 1.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.281 * [taylor]: Taking taylor expansion of PI in n 1.281 * [taylor]: Taking taylor expansion of n in n 1.282 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.282 * [taylor]: Taking taylor expansion of 0.5 in k 1.282 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.282 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.282 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.282 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.282 * [taylor]: Taking taylor expansion of 2.0 in k 1.282 * [taylor]: Taking taylor expansion of PI in k 1.282 * [taylor]: Taking taylor expansion of (log n) in k 1.282 * [taylor]: Taking taylor expansion of n in k 1.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.282 * [taylor]: Taking taylor expansion of 1.0 in k 1.282 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.282 * [taylor]: Taking taylor expansion of k in k 1.283 * [taylor]: Taking taylor expansion of 0 in k 1.284 * [taylor]: Taking taylor expansion of 0 in k 1.285 * [taylor]: Taking taylor expansion of 0 in k 1.286 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.286 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.286 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.286 * [taylor]: Taking taylor expansion of 0.5 in k 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.286 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.286 * [taylor]: Taking taylor expansion of k in k 1.286 * [taylor]: Taking taylor expansion of 1.0 in k 1.286 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.286 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.286 * [taylor]: Taking taylor expansion of -2.0 in k 1.286 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.286 * [taylor]: Taking taylor expansion of PI in k 1.286 * [taylor]: Taking taylor expansion of n in k 1.286 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.286 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.286 * [taylor]: Taking taylor expansion of 0.5 in n 1.286 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.286 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.286 * [taylor]: Taking taylor expansion of k in n 1.286 * [taylor]: Taking taylor expansion of 1.0 in n 1.287 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.287 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.287 * [taylor]: Taking taylor expansion of -2.0 in n 1.287 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.287 * [taylor]: Taking taylor expansion of PI in n 1.287 * [taylor]: Taking taylor expansion of n in n 1.287 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.287 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.287 * [taylor]: Taking taylor expansion of 0.5 in n 1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.287 * [taylor]: Taking taylor expansion of k in n 1.287 * [taylor]: Taking taylor expansion of 1.0 in n 1.287 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.287 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.287 * [taylor]: Taking taylor expansion of -2.0 in n 1.287 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.287 * [taylor]: Taking taylor expansion of PI in n 1.287 * [taylor]: Taking taylor expansion of n in n 1.288 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 1.288 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 1.288 * [taylor]: Taking taylor expansion of 0.5 in k 1.288 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 1.288 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.288 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.288 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.288 * [taylor]: Taking taylor expansion of -2.0 in k 1.288 * [taylor]: Taking taylor expansion of PI in k 1.288 * [taylor]: Taking taylor expansion of (log n) in k 1.288 * [taylor]: Taking taylor expansion of n in k 1.288 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.288 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.288 * [taylor]: Taking taylor expansion of k in k 1.288 * [taylor]: Taking taylor expansion of 1.0 in k 1.289 * [taylor]: Taking taylor expansion of 0 in k 1.290 * [taylor]: Taking taylor expansion of 0 in k 1.291 * [taylor]: Taking taylor expansion of 0 in k 1.291 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.291 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.291 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.291 * [taylor]: Taking taylor expansion of 1.0 in k 1.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.291 * [taylor]: Taking taylor expansion of k in k 1.291 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.291 * [taylor]: Taking taylor expansion of 1.0 in k 1.291 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.291 * [taylor]: Taking taylor expansion of k in k 1.293 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.293 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.293 * [taylor]: Taking taylor expansion of 1.0 in k 1.293 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.293 * [taylor]: Taking taylor expansion of k in k 1.293 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.293 * [taylor]: Taking taylor expansion of 1.0 in k 1.293 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.293 * [taylor]: Taking taylor expansion of k in k 1.294 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.294 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.294 * [taylor]: Taking taylor expansion of 1.0 in k 1.294 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.294 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.294 * [taylor]: Taking taylor expansion of -1 in k 1.294 * [taylor]: Taking taylor expansion of k in k 1.294 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.294 * [taylor]: Taking taylor expansion of 1.0 in k 1.294 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.294 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.294 * [taylor]: Taking taylor expansion of -1 in k 1.294 * [taylor]: Taking taylor expansion of k in k 1.299 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.300 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.300 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.300 * [taylor]: Taking taylor expansion of 2.0 in n 1.300 * [taylor]: Taking taylor expansion of (* n PI) in n 1.300 * [taylor]: Taking taylor expansion of n in n 1.300 * [taylor]: Taking taylor expansion of PI in n 1.300 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.300 * [taylor]: Taking taylor expansion of 2.0 in n 1.300 * [taylor]: Taking taylor expansion of (* n PI) in n 1.300 * [taylor]: Taking taylor expansion of n in n 1.300 * [taylor]: Taking taylor expansion of PI in n 1.301 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.301 * [taylor]: Taking taylor expansion of 2.0 in n 1.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.301 * [taylor]: Taking taylor expansion of PI in n 1.301 * [taylor]: Taking taylor expansion of n in n 1.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.301 * [taylor]: Taking taylor expansion of 2.0 in n 1.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.301 * [taylor]: Taking taylor expansion of PI in n 1.301 * [taylor]: Taking taylor expansion of n in n 1.302 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.302 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.302 * [taylor]: Taking taylor expansion of -2.0 in n 1.302 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.302 * [taylor]: Taking taylor expansion of PI in n 1.302 * [taylor]: Taking taylor expansion of n in n 1.302 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.302 * [taylor]: Taking taylor expansion of -2.0 in n 1.302 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.302 * [taylor]: Taking taylor expansion of PI in n 1.302 * [taylor]: Taking taylor expansion of n in n 1.303 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.303 * [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 1.303 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.303 * [taylor]: Taking taylor expansion of 1.0 in n 1.303 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.303 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.303 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.303 * [taylor]: Taking taylor expansion of k in n 1.304 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.304 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.304 * [taylor]: Taking taylor expansion of 0.5 in n 1.304 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.304 * [taylor]: Taking taylor expansion of 1.0 in n 1.304 * [taylor]: Taking taylor expansion of k in n 1.304 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.304 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.304 * [taylor]: Taking taylor expansion of 2.0 in n 1.304 * [taylor]: Taking taylor expansion of (* n PI) in n 1.304 * [taylor]: Taking taylor expansion of n in n 1.304 * [taylor]: Taking taylor expansion of PI in n 1.304 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.304 * [taylor]: Taking taylor expansion of 1.0 in k 1.304 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.304 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.304 * [taylor]: Taking taylor expansion of k in k 1.304 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.304 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.304 * [taylor]: Taking taylor expansion of 0.5 in k 1.304 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.304 * [taylor]: Taking taylor expansion of 1.0 in k 1.304 * [taylor]: Taking taylor expansion of k in k 1.304 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.304 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.304 * [taylor]: Taking taylor expansion of 2.0 in k 1.305 * [taylor]: Taking taylor expansion of (* n PI) in k 1.305 * [taylor]: Taking taylor expansion of n in k 1.305 * [taylor]: Taking taylor expansion of PI in k 1.305 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.305 * [taylor]: Taking taylor expansion of 1.0 in k 1.305 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.305 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.305 * [taylor]: Taking taylor expansion of k in k 1.305 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.305 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.305 * [taylor]: Taking taylor expansion of 0.5 in k 1.305 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.305 * [taylor]: Taking taylor expansion of 1.0 in k 1.305 * [taylor]: Taking taylor expansion of k in k 1.305 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.305 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.305 * [taylor]: Taking taylor expansion of 2.0 in k 1.305 * [taylor]: Taking taylor expansion of (* n PI) in k 1.305 * [taylor]: Taking taylor expansion of n in k 1.305 * [taylor]: Taking taylor expansion of PI in k 1.305 * [taylor]: Taking taylor expansion of 0 in n 1.307 * [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 1.307 * [taylor]: Taking taylor expansion of 1.0 in n 1.307 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.307 * [taylor]: Taking taylor expansion of NAN in n 1.307 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.307 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.307 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.307 * [taylor]: Taking taylor expansion of 0.5 in n 1.307 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.307 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.307 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.307 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.307 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.307 * [taylor]: Taking taylor expansion of 1.0 in n 1.307 * [taylor]: Taking taylor expansion of (log PI) in n 1.307 * [taylor]: Taking taylor expansion of PI in n 1.307 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.307 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.307 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.307 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.307 * [taylor]: Taking taylor expansion of 1.0 in n 1.307 * [taylor]: Taking taylor expansion of (log n) in n 1.307 * [taylor]: Taking taylor expansion of n in n 1.307 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.307 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.307 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.307 * [taylor]: Taking taylor expansion of 1.0 in n 1.307 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.307 * [taylor]: Taking taylor expansion of 2.0 in n 1.311 * [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 3))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) NAN)))) in n 1.311 * [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 3))) in n 1.312 * [taylor]: Taking taylor expansion of 1.0 in n 1.312 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 1.312 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.312 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.312 * [taylor]: Taking taylor expansion of 0.5 in n 1.312 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.312 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.312 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.312 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.312 * [taylor]: Taking taylor expansion of 1.0 in n 1.312 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.312 * [taylor]: Taking taylor expansion of 2.0 in n 1.312 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.312 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.312 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.312 * [taylor]: Taking taylor expansion of 1.0 in n 1.312 * [taylor]: Taking taylor expansion of (log n) in n 1.312 * [taylor]: Taking taylor expansion of n in n 1.312 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.312 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.312 * [taylor]: Taking taylor expansion of 1.0 in n 1.312 * [taylor]: Taking taylor expansion of (log PI) in n 1.312 * [taylor]: Taking taylor expansion of PI in n 1.313 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.313 * [taylor]: Taking taylor expansion of NAN in n 1.313 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) NAN))) in n 1.313 * [taylor]: Taking taylor expansion of 0.5 in n 1.313 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) NAN)) in n 1.313 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.313 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.313 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.313 * [taylor]: Taking taylor expansion of 0.5 in n 1.313 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.313 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.313 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.313 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.313 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.313 * [taylor]: Taking taylor expansion of 1.0 in n 1.313 * [taylor]: Taking taylor expansion of (log PI) in n 1.313 * [taylor]: Taking taylor expansion of PI in n 1.314 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.314 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.314 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.314 * [taylor]: Taking taylor expansion of 1.0 in n 1.314 * [taylor]: Taking taylor expansion of (log n) in n 1.314 * [taylor]: Taking taylor expansion of n in n 1.314 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.314 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.314 * [taylor]: Taking taylor expansion of 1.0 in n 1.314 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.314 * [taylor]: Taking taylor expansion of 2.0 in n 1.315 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 1.315 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.315 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.315 * [taylor]: Taking taylor expansion of 2.0 in n 1.315 * [taylor]: Taking taylor expansion of (* n PI) in n 1.315 * [taylor]: Taking taylor expansion of n in n 1.315 * [taylor]: Taking taylor expansion of PI in n 1.315 * [taylor]: Taking taylor expansion of NAN in n 1.330 * [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))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 (* n PI))) 2) NAN)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) (pow NAN 3))))) in n 1.330 * [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))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 (* n PI))) 2) NAN)))) in n 1.330 * [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 1.330 * [taylor]: Taking taylor expansion of 1.0 in n 1.330 * [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 1.330 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.330 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.330 * [taylor]: Taking taylor expansion of 0.5 in n 1.330 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.330 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.330 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.330 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.330 * [taylor]: Taking taylor expansion of 1.0 in n 1.330 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.330 * [taylor]: Taking taylor expansion of 2.0 in n 1.330 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.330 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.330 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.330 * [taylor]: Taking taylor expansion of 1.0 in n 1.330 * [taylor]: Taking taylor expansion of (log n) in n 1.330 * [taylor]: Taking taylor expansion of n in n 1.330 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.330 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.330 * [taylor]: Taking taylor expansion of 1.0 in n 1.331 * [taylor]: Taking taylor expansion of (log PI) in n 1.331 * [taylor]: Taking taylor expansion of PI in n 1.331 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.331 * [taylor]: Taking taylor expansion of NAN in n 1.331 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 (* n PI))) 2) NAN))) in n 1.332 * [taylor]: Taking taylor expansion of 0.125 in n 1.332 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 (* n PI))) 2) NAN)) in n 1.332 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.332 * [taylor]: Taking taylor expansion of 0.5 in n 1.332 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.332 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.332 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.332 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.332 * [taylor]: Taking taylor expansion of 1.0 in n 1.332 * [taylor]: Taking taylor expansion of (log PI) in n 1.332 * [taylor]: Taking taylor expansion of PI in n 1.332 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.332 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.332 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.332 * [taylor]: Taking taylor expansion of 1.0 in n 1.332 * [taylor]: Taking taylor expansion of (log n) in n 1.332 * [taylor]: Taking taylor expansion of n in n 1.332 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.332 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.332 * [taylor]: Taking taylor expansion of 1.0 in n 1.332 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.332 * [taylor]: Taking taylor expansion of 2.0 in n 1.333 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 1.333 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.333 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.333 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.333 * [taylor]: Taking taylor expansion of 2.0 in n 1.333 * [taylor]: Taking taylor expansion of (* n PI) in n 1.334 * [taylor]: Taking taylor expansion of n in n 1.334 * [taylor]: Taking taylor expansion of PI in n 1.334 * [taylor]: Taking taylor expansion of NAN in n 1.334 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) (pow NAN 3)))) in n 1.334 * [taylor]: Taking taylor expansion of 0.5 in n 1.334 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 (* n PI))) (pow NAN 3))) in n 1.334 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.334 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.334 * [taylor]: Taking taylor expansion of 0.5 in n 1.334 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.334 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.334 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.334 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.334 * [taylor]: Taking taylor expansion of 1.0 in n 1.334 * [taylor]: Taking taylor expansion of (log PI) in n 1.334 * [taylor]: Taking taylor expansion of PI in n 1.334 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.334 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.334 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.334 * [taylor]: Taking taylor expansion of 1.0 in n 1.334 * [taylor]: Taking taylor expansion of (log n) in n 1.334 * [taylor]: Taking taylor expansion of n in n 1.334 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.334 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.334 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.334 * [taylor]: Taking taylor expansion of 1.0 in n 1.334 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.334 * [taylor]: Taking taylor expansion of 2.0 in n 1.335 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 1.335 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.335 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.335 * [taylor]: Taking taylor expansion of 2.0 in n 1.335 * [taylor]: Taking taylor expansion of (* n PI) in n 1.335 * [taylor]: Taking taylor expansion of n in n 1.335 * [taylor]: Taking taylor expansion of PI in n 1.336 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.336 * [taylor]: Taking taylor expansion of NAN in n 1.350 * [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 1.350 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.350 * [taylor]: Taking taylor expansion of 1.0 in n 1.350 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.350 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.350 * [taylor]: Taking taylor expansion of k in n 1.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.350 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.350 * [taylor]: Taking taylor expansion of 0.5 in n 1.350 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.350 * [taylor]: Taking taylor expansion of 1.0 in n 1.350 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.350 * [taylor]: Taking taylor expansion of k in n 1.350 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.350 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.350 * [taylor]: Taking taylor expansion of 2.0 in n 1.350 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.350 * [taylor]: Taking taylor expansion of PI in n 1.350 * [taylor]: Taking taylor expansion of n in n 1.351 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.351 * [taylor]: Taking taylor expansion of 1.0 in k 1.351 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.351 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.351 * [taylor]: Taking taylor expansion of k in k 1.351 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.351 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.351 * [taylor]: Taking taylor expansion of 0.5 in k 1.351 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.351 * [taylor]: Taking taylor expansion of 1.0 in k 1.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.351 * [taylor]: Taking taylor expansion of k in k 1.351 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.351 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.351 * [taylor]: Taking taylor expansion of 2.0 in k 1.351 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.351 * [taylor]: Taking taylor expansion of PI in k 1.351 * [taylor]: Taking taylor expansion of n in k 1.352 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.352 * [taylor]: Taking taylor expansion of 1.0 in k 1.352 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.352 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.352 * [taylor]: Taking taylor expansion of k in k 1.352 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.352 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.352 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.352 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.352 * [taylor]: Taking taylor expansion of 0.5 in k 1.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.352 * [taylor]: Taking taylor expansion of 1.0 in k 1.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.352 * [taylor]: Taking taylor expansion of k in k 1.352 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.352 * [taylor]: Taking taylor expansion of 2.0 in k 1.352 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.352 * [taylor]: Taking taylor expansion of PI in k 1.352 * [taylor]: Taking taylor expansion of n in k 1.352 * [taylor]: Taking taylor expansion of 0 in n 1.353 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.353 * [taylor]: Taking taylor expansion of 1.0 in n 1.353 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.353 * [taylor]: Taking taylor expansion of NAN in n 1.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.353 * [taylor]: Taking taylor expansion of 0.5 in n 1.353 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.353 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.353 * [taylor]: Taking taylor expansion of 2.0 in n 1.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.353 * [taylor]: Taking taylor expansion of PI in n 1.353 * [taylor]: Taking taylor expansion of n in n 1.353 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.353 * [taylor]: Taking taylor expansion of 1.0 in n 1.353 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.353 * [taylor]: Taking taylor expansion of k in n 1.354 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.354 * [taylor]: Taking taylor expansion of 1.0 in n 1.354 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.355 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.355 * [taylor]: Taking taylor expansion of NAN in n 1.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.355 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.355 * [taylor]: Taking taylor expansion of 0.5 in n 1.355 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.355 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.355 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.355 * [taylor]: Taking taylor expansion of 2.0 in n 1.355 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.355 * [taylor]: Taking taylor expansion of PI in n 1.355 * [taylor]: Taking taylor expansion of n in n 1.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.355 * [taylor]: Taking taylor expansion of 1.0 in n 1.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.355 * [taylor]: Taking taylor expansion of k in n 1.357 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.358 * [taylor]: Taking taylor expansion of 1.0 in n 1.358 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.358 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.358 * [taylor]: Taking taylor expansion of NAN in n 1.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.358 * [taylor]: Taking taylor expansion of 0.5 in n 1.358 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.358 * [taylor]: Taking taylor expansion of 2.0 in n 1.358 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.358 * [taylor]: Taking taylor expansion of PI in n 1.358 * [taylor]: Taking taylor expansion of n in n 1.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.358 * [taylor]: Taking taylor expansion of 1.0 in n 1.358 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.358 * [taylor]: Taking taylor expansion of k in n 1.360 * [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 1.360 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.360 * [taylor]: Taking taylor expansion of 1.0 in n 1.360 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.360 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.360 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.360 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.360 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.360 * [taylor]: Taking taylor expansion of 0.5 in n 1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.360 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.360 * [taylor]: Taking taylor expansion of k in n 1.360 * [taylor]: Taking taylor expansion of 1.0 in n 1.360 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.360 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.360 * [taylor]: Taking taylor expansion of -2.0 in n 1.360 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.360 * [taylor]: Taking taylor expansion of PI in n 1.360 * [taylor]: Taking taylor expansion of n in n 1.361 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.361 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.361 * [taylor]: Taking taylor expansion of -1 in n 1.361 * [taylor]: Taking taylor expansion of k in n 1.361 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.361 * [taylor]: Taking taylor expansion of 1.0 in k 1.361 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.361 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.361 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.361 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.361 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.361 * [taylor]: Taking taylor expansion of 0.5 in k 1.361 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.361 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.361 * [taylor]: Taking taylor expansion of k in k 1.361 * [taylor]: Taking taylor expansion of 1.0 in k 1.361 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.361 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.361 * [taylor]: Taking taylor expansion of -2.0 in k 1.361 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.361 * [taylor]: Taking taylor expansion of PI in k 1.361 * [taylor]: Taking taylor expansion of n in k 1.362 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.362 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.362 * [taylor]: Taking taylor expansion of -1 in k 1.362 * [taylor]: Taking taylor expansion of k in k 1.362 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.362 * [taylor]: Taking taylor expansion of 1.0 in k 1.362 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.362 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.362 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.362 * [taylor]: Taking taylor expansion of 0.5 in k 1.362 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.362 * [taylor]: Taking taylor expansion of k in k 1.362 * [taylor]: Taking taylor expansion of 1.0 in k 1.362 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.362 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.362 * [taylor]: Taking taylor expansion of -2.0 in k 1.362 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.362 * [taylor]: Taking taylor expansion of PI in k 1.362 * [taylor]: Taking taylor expansion of n in k 1.363 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.363 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.363 * [taylor]: Taking taylor expansion of -1 in k 1.363 * [taylor]: Taking taylor expansion of k in k 1.363 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.363 * [taylor]: Taking taylor expansion of 1.0 in n 1.363 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.363 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.363 * [taylor]: Taking taylor expansion of 0.5 in n 1.363 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.363 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.363 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.363 * [taylor]: Taking taylor expansion of k in n 1.363 * [taylor]: Taking taylor expansion of 1.0 in n 1.363 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.363 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.363 * [taylor]: Taking taylor expansion of -2.0 in n 1.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.363 * [taylor]: Taking taylor expansion of PI in n 1.363 * [taylor]: Taking taylor expansion of n in n 1.364 * [taylor]: Taking taylor expansion of NAN in n 1.365 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 1.365 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 1.365 * [taylor]: Taking taylor expansion of 1.0 in n 1.365 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 1.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.365 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.365 * [taylor]: Taking taylor expansion of 0.5 in n 1.365 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.365 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.365 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.365 * [taylor]: Taking taylor expansion of k in n 1.365 * [taylor]: Taking taylor expansion of 1.0 in n 1.365 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.365 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.365 * [taylor]: Taking taylor expansion of -2.0 in n 1.365 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.365 * [taylor]: Taking taylor expansion of PI in n 1.365 * [taylor]: Taking taylor expansion of n in n 1.365 * [taylor]: Taking taylor expansion of NAN in n 1.368 * [taylor]: Taking taylor expansion of 0 in n 1.371 * [taylor]: Taking taylor expansion of 0 in n 1.371 * * * [progress]: simplifying candidates 1.374 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt 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n))))))) k)))) (+ (* 1.0 (/ (* NAN (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ -1 n))) (- 1.0 k))))) k)) (* 1.0 (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ -1 n))) (- 1.0 k)))) NAN))) 1.390 * * [simplify]: iteration 0 : 357 enodes (cost 2874 ) 1.463 * * [simplify]: iteration 1 : 967 enodes (cost 2714 ) 1.685 * * [simplify]: iteration 2 : 3672 enodes (cost 2506 ) 2.232 * * [simplify]: iteration done : 5000 enodes (cost 2500 ) 2.234 * [simplify]: Simplified to: (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 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(/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (+ (+ (* (* (* (pow (* (* PI n) 2.0) 0.5) (log (* 2.0 PI))) (log n)) (* 0.25 (pow k 2))) (* (* 0.125 (pow k 2)) (* (pow (log (* 2.0 PI)) 2) (pow (* (* PI n) 2.0) 0.5)))) (- (+ (* (* (pow (* (* PI n) 2.0) 0.5) (* (pow k 2) (pow (log n) 2))) 0.125) (pow (* (* PI n) 2.0) 0.5)) (* (* 0.5 k) (+ (* (log n) (pow (* (* PI n) 2.0) 0.5)) (* (pow (* (* PI n) 2.0) 0.5) (log (* 2.0 PI))))))) (pow (exp 0.5) (* (log (* (* 2.0 PI) n)) (- 1.0 k))) (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ -1 n))) (- 1.0 k)))) (* 1.0 (+ (+ NAN (* k (pow NAN 3))) (* (pow NAN 5) (pow k 2)))) (* 1.0 (+ (/ (pow NAN 3) (pow k 2)) (+ (/ NAN k) (/ (pow NAN 5) (pow k 3))))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (- (+ (+ (* (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* NAN (pow k 2)))) (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) (+ (* (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* (pow (log n) 2) NAN))))))) (* 1.0 (+ (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* k (pow NAN 3))) (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) NAN)))) (+ (* (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log n) NAN)) (* (pow k 2) (* (log n) (pow NAN 3))))) 0.5) (* 0.5 (+ (* k (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) NAN))) (* (* (log (* 2.0 PI)) (* (pow NAN 3) (pow k 2))) (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))))) (* 1.0 (+ (+ (/ (pow (exp 0.5) (* (log (* (* 2.0 PI) n)) (- 1.0 k))) (/ (pow k 3) (pow NAN 5))) (* (/ NAN k) (pow (exp 0.5) (* (log (* (* 2.0 PI) n)) (- 1.0 k))))) (* (/ (pow NAN 3) (pow k 2)) (pow (exp 0.5) (* (log (* (* 2.0 PI) n)) (- 1.0 k)))))) (* 1.0 (+ (/ (* NAN (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ -1 n))) (- 1.0 k))))) k) (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ -1 n))) (- 1.0 k)))) NAN))) 2.235 * * * [progress]: adding candidates to table 2.747 * * [progress]: iteration 2 / 4 2.747 * * * [progress]: picking best candidate 2.791 * * * * [pick]: Picked # 2.791 * * * [progress]: localizing error 2.807 * * * [progress]: generating rewritten candidates 2.807 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 2.815 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.821 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 2.827 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 2.837 * * * [progress]: generating series expansions 2.837 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 2.837 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.837 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.837 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.837 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.837 * [taylor]: Taking taylor expansion of 0.5 in n 2.837 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.837 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.837 * [taylor]: Taking taylor expansion of 2.0 in n 2.837 * [taylor]: Taking taylor expansion of (* n PI) in n 2.837 * [taylor]: Taking taylor expansion of n in n 2.837 * [taylor]: Taking taylor expansion of PI in n 2.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.838 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.838 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.838 * [taylor]: Taking taylor expansion of 0.5 in n 2.838 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.838 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.838 * [taylor]: Taking taylor expansion of 2.0 in n 2.838 * [taylor]: Taking taylor expansion of (* n PI) in n 2.838 * [taylor]: Taking taylor expansion of n in n 2.838 * [taylor]: Taking taylor expansion of PI in n 2.846 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.846 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.846 * [taylor]: Taking taylor expansion of 0.5 in n 2.846 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.846 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.846 * [taylor]: Taking taylor expansion of 2.0 in n 2.846 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.846 * [taylor]: Taking taylor expansion of PI in n 2.846 * [taylor]: Taking taylor expansion of n in n 2.846 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.846 * [taylor]: Taking taylor expansion of 0.5 in n 2.847 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.847 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.847 * [taylor]: Taking taylor expansion of 2.0 in n 2.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.847 * [taylor]: Taking taylor expansion of PI in n 2.847 * [taylor]: Taking taylor expansion of n in n 2.855 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.855 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.855 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.855 * [taylor]: Taking taylor expansion of 0.5 in n 2.855 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.855 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.855 * [taylor]: Taking taylor expansion of -2.0 in n 2.855 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.855 * [taylor]: Taking taylor expansion of PI in n 2.855 * [taylor]: Taking taylor expansion of n in n 2.855 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.856 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.856 * [taylor]: Taking taylor expansion of 0.5 in n 2.856 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.856 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.856 * [taylor]: Taking taylor expansion of -2.0 in n 2.856 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.856 * [taylor]: Taking taylor expansion of PI in n 2.856 * [taylor]: Taking taylor expansion of n in n 2.864 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.864 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.864 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.864 * [taylor]: Taking taylor expansion of 2.0 in n 2.864 * [taylor]: Taking taylor expansion of (* n PI) in n 2.864 * [taylor]: Taking taylor expansion of n in n 2.864 * [taylor]: Taking taylor expansion of PI in n 2.864 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.864 * [taylor]: Taking taylor expansion of 2.0 in n 2.864 * [taylor]: Taking taylor expansion of (* n PI) in n 2.864 * [taylor]: Taking taylor expansion of n in n 2.864 * [taylor]: Taking taylor expansion of PI in n 2.865 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.865 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.865 * [taylor]: Taking taylor expansion of 2.0 in n 2.865 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.865 * [taylor]: Taking taylor expansion of PI in n 2.865 * [taylor]: Taking taylor expansion of n in n 2.865 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.865 * [taylor]: Taking taylor expansion of 2.0 in n 2.865 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.866 * [taylor]: Taking taylor expansion of PI in n 2.866 * [taylor]: Taking taylor expansion of n in n 2.866 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.866 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.867 * [taylor]: Taking taylor expansion of -2.0 in n 2.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.867 * [taylor]: Taking taylor expansion of PI in n 2.867 * [taylor]: Taking taylor expansion of n in n 2.867 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.867 * [taylor]: Taking taylor expansion of -2.0 in n 2.867 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.867 * [taylor]: Taking taylor expansion of PI in n 2.867 * [taylor]: Taking taylor expansion of n in n 2.868 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.868 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.868 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.868 * [taylor]: Taking taylor expansion of 2.0 in n 2.868 * [taylor]: Taking taylor expansion of (* n PI) in n 2.868 * [taylor]: Taking taylor expansion of n in n 2.868 * [taylor]: Taking taylor expansion of PI in n 2.868 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.868 * [taylor]: Taking taylor expansion of 2.0 in n 2.868 * [taylor]: Taking taylor expansion of (* n PI) in n 2.868 * [taylor]: Taking taylor expansion of n in n 2.868 * [taylor]: Taking taylor expansion of PI in n 2.869 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.869 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.869 * [taylor]: Taking taylor expansion of 2.0 in n 2.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.869 * [taylor]: Taking taylor expansion of PI in n 2.869 * [taylor]: Taking taylor expansion of n in n 2.869 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.869 * [taylor]: Taking taylor expansion of 2.0 in n 2.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.869 * [taylor]: Taking taylor expansion of PI in n 2.869 * [taylor]: Taking taylor expansion of n in n 2.870 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.870 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.870 * [taylor]: Taking taylor expansion of -2.0 in n 2.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.870 * [taylor]: Taking taylor expansion of PI in n 2.870 * [taylor]: Taking taylor expansion of n in n 2.870 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.870 * [taylor]: Taking taylor expansion of -2.0 in n 2.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.870 * [taylor]: Taking taylor expansion of PI in n 2.870 * [taylor]: Taking taylor expansion of n in n 2.871 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 2.871 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 2.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.871 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.871 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.871 * [taylor]: Taking taylor expansion of 0.5 in k 2.871 * [taylor]: Taking taylor expansion of k in k 2.871 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.871 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.871 * [taylor]: Taking taylor expansion of 2.0 in k 2.871 * [taylor]: Taking taylor expansion of (* n PI) in k 2.871 * [taylor]: Taking taylor expansion of n in k 2.871 * [taylor]: Taking taylor expansion of PI in k 2.872 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.872 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.872 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.872 * [taylor]: Taking taylor expansion of 0.5 in n 2.872 * [taylor]: Taking taylor expansion of k in n 2.872 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.872 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.872 * [taylor]: Taking taylor expansion of 2.0 in n 2.872 * [taylor]: Taking taylor expansion of (* n PI) in n 2.872 * [taylor]: Taking taylor expansion of n in n 2.872 * [taylor]: Taking taylor expansion of PI in n 2.872 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.872 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.872 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.872 * [taylor]: Taking taylor expansion of 0.5 in n 2.872 * [taylor]: Taking taylor expansion of k in n 2.872 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.872 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.873 * [taylor]: Taking taylor expansion of 2.0 in n 2.873 * [taylor]: Taking taylor expansion of (* n PI) in n 2.873 * [taylor]: Taking taylor expansion of n in n 2.873 * [taylor]: Taking taylor expansion of PI in n 2.873 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.873 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.873 * [taylor]: Taking taylor expansion of 0.5 in k 2.873 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.873 * [taylor]: Taking taylor expansion of k in k 2.873 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.873 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.873 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.873 * [taylor]: Taking taylor expansion of 2.0 in k 2.873 * [taylor]: Taking taylor expansion of PI in k 2.873 * [taylor]: Taking taylor expansion of (log n) in k 2.873 * [taylor]: Taking taylor expansion of n in k 2.874 * [taylor]: Taking taylor expansion of 0 in k 2.875 * [taylor]: Taking taylor expansion of 0 in k 2.877 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 2.877 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 2.877 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 2.877 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 2.877 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.877 * [taylor]: Taking taylor expansion of 0.5 in k 2.877 * [taylor]: Taking taylor expansion of k in k 2.877 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.877 * [taylor]: Taking taylor expansion of 2.0 in k 2.877 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.877 * [taylor]: Taking taylor expansion of PI in k 2.877 * [taylor]: Taking taylor expansion of n in k 2.880 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.880 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.880 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.880 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.880 * [taylor]: Taking taylor expansion of 0.5 in n 2.880 * [taylor]: Taking taylor expansion of k in n 2.880 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.880 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.880 * [taylor]: Taking taylor expansion of 2.0 in n 2.880 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.880 * [taylor]: Taking taylor expansion of PI in n 2.880 * [taylor]: Taking taylor expansion of n in n 2.881 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 2.881 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 2.881 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 2.881 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.881 * [taylor]: Taking taylor expansion of 0.5 in n 2.881 * [taylor]: Taking taylor expansion of k in n 2.881 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.881 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.881 * [taylor]: Taking taylor expansion of 2.0 in n 2.881 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.881 * [taylor]: Taking taylor expansion of PI in n 2.881 * [taylor]: Taking taylor expansion of n in n 2.881 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 2.881 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 2.881 * [taylor]: Taking taylor expansion of 0.5 in k 2.881 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 2.881 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.881 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.881 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.881 * [taylor]: Taking taylor expansion of 2.0 in k 2.881 * [taylor]: Taking taylor expansion of PI in k 2.881 * [taylor]: Taking taylor expansion of (log n) in k 2.881 * [taylor]: Taking taylor expansion of n in k 2.881 * [taylor]: Taking taylor expansion of k in k 2.882 * [taylor]: Taking taylor expansion of 0 in k 2.883 * [taylor]: Taking taylor expansion of 0 in k 2.884 * [taylor]: Taking taylor expansion of 0 in k 2.884 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 2.885 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.885 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.885 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.885 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.885 * [taylor]: Taking taylor expansion of -0.5 in k 2.885 * [taylor]: Taking taylor expansion of k in k 2.885 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.885 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.885 * [taylor]: Taking taylor expansion of -2.0 in k 2.885 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.885 * [taylor]: Taking taylor expansion of PI in k 2.885 * [taylor]: Taking taylor expansion of n in k 2.885 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.885 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.885 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.885 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.885 * [taylor]: Taking taylor expansion of -0.5 in n 2.885 * [taylor]: Taking taylor expansion of k in n 2.885 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.885 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.885 * [taylor]: Taking taylor expansion of -2.0 in n 2.885 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.885 * [taylor]: Taking taylor expansion of PI in n 2.885 * [taylor]: Taking taylor expansion of n in n 2.885 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.886 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.886 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.886 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.886 * [taylor]: Taking taylor expansion of -0.5 in n 2.886 * [taylor]: Taking taylor expansion of k in n 2.886 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.886 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.886 * [taylor]: Taking taylor expansion of -2.0 in n 2.886 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.886 * [taylor]: Taking taylor expansion of PI in n 2.886 * [taylor]: Taking taylor expansion of n in n 2.886 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.886 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.886 * [taylor]: Taking taylor expansion of -0.5 in k 2.886 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.886 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.886 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.886 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.886 * [taylor]: Taking taylor expansion of -2.0 in k 2.886 * [taylor]: Taking taylor expansion of PI in k 2.886 * [taylor]: Taking taylor expansion of (log n) in k 2.886 * [taylor]: Taking taylor expansion of n in k 2.886 * [taylor]: Taking taylor expansion of k in k 2.887 * [taylor]: Taking taylor expansion of 0 in k 2.888 * [taylor]: Taking taylor expansion of 0 in k 2.889 * [taylor]: Taking taylor expansion of 0 in k 2.889 * * * [progress]: simplifying candidates 2.891 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 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 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (* 0.5 (* k (log (* 2.0 PI)))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.5 (* k (log n))) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ 1 (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))) (exp (* 0.5 (* k (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.895 * * [simplify]: iteration 0 : 173 enodes (cost 1115 ) 2.922 * * [simplify]: iteration 1 : 455 enodes (cost 1048 ) 3.015 * * [simplify]: iteration 2 : 1559 enodes (cost 960 ) 3.367 * * [simplify]: iteration done : 5000 enodes (cost 951 ) 3.372 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt 1.0) (cbrt 1.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt 1.0)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (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 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* PI n) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (* (cbrt k) (cbrt k))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* n (* 2.0 PI)) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* 2.0 (* n PI)) 0.5) (pow (* 2.0 (* n PI)) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (+ (+ (* (* 0.5 k) (log (* n (* 2.0 PI)))) (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) 1) (* (pow k 2) (+ (* (* (log (* 2.0 PI)) (log n)) 0.25) (* (pow (log n) 2) 0.125)))) (pow (exp 0.5) (* (log (* n (* 2.0 PI))) k)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3.372 * * * [progress]: adding candidates to table 3.557 * * [progress]: iteration 3 / 4 3.558 * * * [progress]: picking best candidate 3.601 * * * * [pick]: Picked # 3.601 * * * [progress]: localizing error 3.617 * * * [progress]: generating rewritten candidates 3.617 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 3.625 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.629 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 3.635 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 3.646 * * * [progress]: generating series expansions 3.646 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 3.646 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 3.646 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.646 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.646 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.646 * [taylor]: Taking taylor expansion of 0.5 in n 3.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.646 * [taylor]: Taking taylor expansion of 2.0 in n 3.646 * [taylor]: Taking taylor expansion of (* n PI) in n 3.646 * [taylor]: Taking taylor expansion of n in n 3.646 * [taylor]: Taking taylor expansion of PI in n 3.646 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 3.647 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 3.647 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 3.647 * [taylor]: Taking taylor expansion of 0.5 in n 3.647 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.647 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.647 * [taylor]: Taking taylor expansion of 2.0 in n 3.647 * [taylor]: Taking taylor expansion of (* n PI) in n 3.647 * [taylor]: Taking taylor expansion of n in n 3.647 * [taylor]: Taking taylor expansion of PI in n 3.655 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 3.655 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.655 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.655 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.655 * [taylor]: Taking taylor expansion of 0.5 in n 3.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.655 * [taylor]: Taking taylor expansion of 2.0 in n 3.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.655 * [taylor]: Taking taylor expansion of PI in n 3.655 * [taylor]: Taking taylor expansion of n in n 3.655 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 3.655 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 3.655 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 3.655 * [taylor]: Taking taylor expansion of 0.5 in n 3.655 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.655 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.655 * [taylor]: Taking taylor expansion of 2.0 in n 3.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.655 * [taylor]: Taking taylor expansion of PI in n 3.655 * [taylor]: Taking taylor expansion of n in n 3.664 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 3.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.664 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.664 * [taylor]: Taking taylor expansion of 0.5 in n 3.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.664 * [taylor]: Taking taylor expansion of -2.0 in n 3.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.664 * [taylor]: Taking taylor expansion of PI in n 3.664 * [taylor]: Taking taylor expansion of n in n 3.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 3.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 3.664 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 3.664 * [taylor]: Taking taylor expansion of 0.5 in n 3.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.664 * [taylor]: Taking taylor expansion of -2.0 in n 3.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.664 * [taylor]: Taking taylor expansion of PI in n 3.664 * [taylor]: Taking taylor expansion of n in n 3.672 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.673 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.673 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.673 * [taylor]: Taking taylor expansion of 1.0 in k 3.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.673 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.673 * [taylor]: Taking taylor expansion of k in k 3.673 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.673 * [taylor]: Taking taylor expansion of 1.0 in k 3.673 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.673 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.673 * [taylor]: Taking taylor expansion of k in k 3.674 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.674 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.674 * [taylor]: Taking taylor expansion of 1.0 in k 3.674 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.674 * [taylor]: Taking taylor expansion of k in k 3.674 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.674 * [taylor]: Taking taylor expansion of 1.0 in k 3.674 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.674 * [taylor]: Taking taylor expansion of k in k 3.675 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.675 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.675 * [taylor]: Taking taylor expansion of 1.0 in k 3.676 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.676 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.676 * [taylor]: Taking taylor expansion of -1 in k 3.676 * [taylor]: Taking taylor expansion of k in k 3.676 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.676 * [taylor]: Taking taylor expansion of 1.0 in k 3.676 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.676 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.676 * [taylor]: Taking taylor expansion of -1 in k 3.676 * [taylor]: Taking taylor expansion of k in k 3.681 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 3.681 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.681 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.681 * [taylor]: Taking taylor expansion of 2.0 in n 3.681 * [taylor]: Taking taylor expansion of (* n PI) in n 3.681 * [taylor]: Taking taylor expansion of n in n 3.681 * [taylor]: Taking taylor expansion of PI in n 3.681 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.681 * [taylor]: Taking taylor expansion of 2.0 in n 3.681 * [taylor]: Taking taylor expansion of (* n PI) in n 3.681 * [taylor]: Taking taylor expansion of n in n 3.681 * [taylor]: Taking taylor expansion of PI in n 3.682 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.682 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.682 * [taylor]: Taking taylor expansion of 2.0 in n 3.682 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.682 * [taylor]: Taking taylor expansion of PI in n 3.682 * [taylor]: Taking taylor expansion of n in n 3.683 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.683 * [taylor]: Taking taylor expansion of 2.0 in n 3.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.683 * [taylor]: Taking taylor expansion of PI in n 3.683 * [taylor]: Taking taylor expansion of n in n 3.684 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.684 * [taylor]: Taking taylor expansion of -2.0 in n 3.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.684 * [taylor]: Taking taylor expansion of PI in n 3.684 * [taylor]: Taking taylor expansion of n in n 3.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.684 * [taylor]: Taking taylor expansion of -2.0 in n 3.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.684 * [taylor]: Taking taylor expansion of PI in n 3.684 * [taylor]: Taking taylor expansion of n in n 3.685 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 3.685 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.685 * [taylor]: Taking taylor expansion of 2.0 in n 3.685 * [taylor]: Taking taylor expansion of (* n PI) in n 3.685 * [taylor]: Taking taylor expansion of n in n 3.685 * [taylor]: Taking taylor expansion of PI in n 3.685 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.685 * [taylor]: Taking taylor expansion of 2.0 in n 3.685 * [taylor]: Taking taylor expansion of (* n PI) in n 3.685 * [taylor]: Taking taylor expansion of n in n 3.685 * [taylor]: Taking taylor expansion of PI in n 3.686 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.686 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.686 * [taylor]: Taking taylor expansion of 2.0 in n 3.686 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.686 * [taylor]: Taking taylor expansion of PI in n 3.686 * [taylor]: Taking taylor expansion of n in n 3.686 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.686 * [taylor]: Taking taylor expansion of 2.0 in n 3.686 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.686 * [taylor]: Taking taylor expansion of PI in n 3.686 * [taylor]: Taking taylor expansion of n in n 3.687 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.687 * [taylor]: Taking taylor expansion of -2.0 in n 3.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.687 * [taylor]: Taking taylor expansion of PI in n 3.687 * [taylor]: Taking taylor expansion of n in n 3.687 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.687 * [taylor]: Taking taylor expansion of -2.0 in n 3.687 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.687 * [taylor]: Taking taylor expansion of PI in n 3.687 * [taylor]: Taking taylor expansion of n in n 3.688 * * * [progress]: simplifying candidates 3.690 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ (pow NAN 5) (pow k 3))))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.694 * * [simplify]: iteration 0 : 190 enodes (cost 1106 ) 3.725 * * [simplify]: iteration 1 : 448 enodes (cost 1032 ) 3.805 * * [simplify]: iteration 2 : 1427 enodes (cost 934 ) 4.187 * * [simplify]: iteration 3 : 4916 enodes (cost 932 ) 4.777 * * [simplify]: iteration done : 5000 enodes (cost 932 ) 4.778 * [simplify]: Simplified to: (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 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 (* n PI)) (* (cbrt 1.0) (cbrt 1.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt 1.0)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (log (/ 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) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* n PI) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (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) (* n PI) (pow (* 2.0 (* n PI)) 0.5) (pow (* 2.0 (* n PI)) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 3) (pow k 2)) (+ (/ NAN k) (/ (pow NAN 5) (pow k 3))))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 4.779 * * * [progress]: adding candidates to table 4.964 * * [progress]: iteration 4 / 4 4.964 * * * [progress]: picking best candidate 5.004 * * * * [pick]: Picked # 5.004 * * * [progress]: localizing error 5.020 * * * [progress]: generating rewritten candidates 5.020 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.031 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.041 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.046 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 5.057 * * * [progress]: generating series expansions 5.057 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.057 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (k n) around 0 5.057 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.057 * [taylor]: Taking taylor expansion of 1.0 in n 5.057 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.057 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.057 * [taylor]: Taking taylor expansion of k in n 5.057 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.057 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.058 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.058 * [taylor]: Taking taylor expansion of 0.5 in n 5.058 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.058 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.058 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.058 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.058 * [taylor]: Taking taylor expansion of 1.0 in n 5.058 * [taylor]: Taking taylor expansion of (log PI) in n 5.058 * [taylor]: Taking taylor expansion of PI in n 5.058 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.058 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.058 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.058 * [taylor]: Taking taylor expansion of 1.0 in n 5.058 * [taylor]: Taking taylor expansion of (log n) in n 5.058 * [taylor]: Taking taylor expansion of n in n 5.058 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.058 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.058 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.058 * [taylor]: Taking taylor expansion of 1.0 in n 5.058 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.058 * [taylor]: Taking taylor expansion of 2.0 in n 5.059 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 5.059 * [taylor]: Taking taylor expansion of 1.0 in k 5.059 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 5.059 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.059 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.059 * [taylor]: Taking taylor expansion of k in k 5.059 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 5.059 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 5.059 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 5.059 * [taylor]: Taking taylor expansion of 0.5 in k 5.059 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 5.059 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 5.059 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.059 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.059 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.059 * [taylor]: Taking taylor expansion of 1.0 in k 5.059 * [taylor]: Taking taylor expansion of (log PI) in k 5.059 * [taylor]: Taking taylor expansion of PI in k 5.060 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 5.060 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.060 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.060 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.060 * [taylor]: Taking taylor expansion of 1.0 in k 5.060 * [taylor]: Taking taylor expansion of (log n) in k 5.060 * [taylor]: Taking taylor expansion of n in k 5.060 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.060 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.060 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.060 * [taylor]: Taking taylor expansion of 1.0 in k 5.060 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.060 * [taylor]: Taking taylor expansion of 2.0 in k 5.061 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 5.061 * [taylor]: Taking taylor expansion of 1.0 in k 5.061 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 5.061 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.061 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.061 * [taylor]: Taking taylor expansion of k in k 5.061 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 5.061 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 5.061 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 5.061 * [taylor]: Taking taylor expansion of 0.5 in k 5.061 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 5.061 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 5.061 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.061 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.061 * [taylor]: Taking taylor expansion of 1.0 in k 5.061 * [taylor]: Taking taylor expansion of (log PI) in k 5.061 * [taylor]: Taking taylor expansion of PI in k 5.061 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 5.061 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.061 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.061 * [taylor]: Taking taylor expansion of 1.0 in k 5.061 * [taylor]: Taking taylor expansion of (log n) in k 5.061 * [taylor]: Taking taylor expansion of n in k 5.061 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.061 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.061 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.062 * [taylor]: Taking taylor expansion of 1.0 in k 5.062 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.062 * [taylor]: Taking taylor expansion of 2.0 in k 5.063 * [taylor]: Taking taylor expansion of 0 in n 5.065 * [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 5.065 * [taylor]: Taking taylor expansion of 1.0 in n 5.065 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.065 * [taylor]: Taking taylor expansion of NAN in n 5.065 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.065 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.065 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.065 * [taylor]: Taking taylor expansion of 0.5 in n 5.065 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.065 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.065 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.065 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.065 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.065 * [taylor]: Taking taylor expansion of 1.0 in n 5.065 * [taylor]: Taking taylor expansion of (log PI) in n 5.065 * [taylor]: Taking taylor expansion of PI in n 5.065 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.065 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.065 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.066 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.066 * [taylor]: Taking taylor expansion of 1.0 in n 5.066 * [taylor]: Taking taylor expansion of (log n) in n 5.066 * [taylor]: Taking taylor expansion of n in n 5.066 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.066 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.066 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.066 * [taylor]: Taking taylor expansion of 1.0 in n 5.066 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.066 * [taylor]: Taking taylor expansion of 2.0 in n 5.071 * [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 5.071 * [taylor]: Taking taylor expansion of 1.0 in n 5.071 * [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 5.071 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.071 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.071 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.071 * [taylor]: Taking taylor expansion of 0.5 in n 5.071 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.071 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.071 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.071 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.071 * [taylor]: Taking taylor expansion of 1.0 in n 5.071 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.071 * [taylor]: Taking taylor expansion of 2.0 in n 5.071 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.071 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.071 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.071 * [taylor]: Taking taylor expansion of 1.0 in n 5.071 * [taylor]: Taking taylor expansion of (log n) in n 5.071 * [taylor]: Taking taylor expansion of n in n 5.072 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.072 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.072 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.072 * [taylor]: Taking taylor expansion of 1.0 in n 5.072 * [taylor]: Taking taylor expansion of (log PI) in n 5.072 * [taylor]: Taking taylor expansion of PI in n 5.073 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 5.073 * [taylor]: Taking taylor expansion of NAN in n 5.081 * [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 5.081 * [taylor]: Taking taylor expansion of 1.0 in n 5.081 * [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 5.081 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 5.081 * [taylor]: Taking taylor expansion of NAN in n 5.081 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.081 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.081 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.081 * [taylor]: Taking taylor expansion of 0.5 in n 5.081 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.081 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.081 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.081 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.081 * [taylor]: Taking taylor expansion of 1.0 in n 5.081 * [taylor]: Taking taylor expansion of (log PI) in n 5.081 * [taylor]: Taking taylor expansion of PI in n 5.081 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.081 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.081 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.081 * [taylor]: Taking taylor expansion of 1.0 in n 5.081 * [taylor]: Taking taylor expansion of (log n) in n 5.081 * [taylor]: Taking taylor expansion of n in n 5.081 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.081 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.081 * [taylor]: Taking taylor expansion of 1.0 in n 5.081 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.081 * [taylor]: Taking taylor expansion of 2.0 in n 5.085 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 5.085 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 5.085 * [taylor]: Taking taylor expansion of 1.0 in n 5.085 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 5.085 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.085 * [taylor]: Taking taylor expansion of k in n 5.085 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.085 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.085 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.085 * [taylor]: Taking taylor expansion of 0.5 in n 5.085 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.085 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.085 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.085 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.085 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.085 * [taylor]: Taking taylor expansion of 1.0 in n 5.085 * [taylor]: Taking taylor expansion of (log PI) in n 5.085 * [taylor]: Taking taylor expansion of PI in n 5.085 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.085 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.085 * [taylor]: Taking taylor expansion of 1.0 in n 5.085 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.085 * [taylor]: Taking taylor expansion of 2.0 in n 5.085 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.085 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.085 * [taylor]: Taking taylor expansion of 1.0 in n 5.085 * [taylor]: Taking taylor expansion of (log n) in n 5.085 * [taylor]: Taking taylor expansion of n in n 5.086 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 5.086 * [taylor]: Taking taylor expansion of 1.0 in k 5.086 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 5.086 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.086 * [taylor]: Taking taylor expansion of k in k 5.086 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 5.087 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 5.087 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 5.087 * [taylor]: Taking taylor expansion of 0.5 in k 5.087 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 5.087 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 5.087 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 5.087 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.087 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.087 * [taylor]: Taking taylor expansion of 1.0 in k 5.087 * [taylor]: Taking taylor expansion of (log PI) in k 5.087 * [taylor]: Taking taylor expansion of PI in k 5.087 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.087 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.087 * [taylor]: Taking taylor expansion of 1.0 in k 5.087 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.087 * [taylor]: Taking taylor expansion of 2.0 in k 5.087 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.087 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.087 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.087 * [taylor]: Taking taylor expansion of 1.0 in k 5.087 * [taylor]: Taking taylor expansion of (log n) in k 5.087 * [taylor]: Taking taylor expansion of n in k 5.088 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 5.088 * [taylor]: Taking taylor expansion of 1.0 in k 5.088 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 5.088 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.088 * [taylor]: Taking taylor expansion of k in k 5.088 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 5.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 5.088 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 5.088 * [taylor]: Taking taylor expansion of 0.5 in k 5.088 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 5.088 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 5.088 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 5.088 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.088 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.088 * [taylor]: Taking taylor expansion of 1.0 in k 5.088 * [taylor]: Taking taylor expansion of (log PI) in k 5.088 * [taylor]: Taking taylor expansion of PI in k 5.088 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.089 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.089 * [taylor]: Taking taylor expansion of 1.0 in k 5.089 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.089 * [taylor]: Taking taylor expansion of 2.0 in k 5.089 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.089 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.089 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.089 * [taylor]: Taking taylor expansion of 1.0 in k 5.089 * [taylor]: Taking taylor expansion of (log n) in k 5.089 * [taylor]: Taking taylor expansion of n in k 5.090 * [taylor]: Taking taylor expansion of 0 in n 5.093 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN)) in n 5.093 * [taylor]: Taking taylor expansion of 1.0 in n 5.093 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) NAN) in n 5.093 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.093 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.093 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.093 * [taylor]: Taking taylor expansion of 0.5 in n 5.093 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.093 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.093 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.093 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.093 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.093 * [taylor]: Taking taylor expansion of 1.0 in n 5.093 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.093 * [taylor]: Taking taylor expansion of 2.0 in n 5.093 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.093 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.093 * [taylor]: Taking taylor expansion of 1.0 in n 5.093 * [taylor]: Taking taylor expansion of (log PI) in n 5.093 * [taylor]: Taking taylor expansion of PI in n 5.093 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.093 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.093 * [taylor]: Taking taylor expansion of 1.0 in n 5.093 * [taylor]: Taking taylor expansion of (log n) in n 5.093 * [taylor]: Taking taylor expansion of n in n 5.094 * [taylor]: Taking taylor expansion of NAN in n 5.099 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 5.099 * [taylor]: Taking taylor expansion of 1.0 in n 5.099 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 5.099 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 5.099 * [taylor]: Taking taylor expansion of NAN in n 5.099 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.099 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.099 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.099 * [taylor]: Taking taylor expansion of 0.5 in n 5.099 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.099 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.099 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.099 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.099 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.099 * [taylor]: Taking taylor expansion of 1.0 in n 5.099 * [taylor]: Taking taylor expansion of (log PI) in n 5.099 * [taylor]: Taking taylor expansion of PI in n 5.099 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.099 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.099 * [taylor]: Taking taylor expansion of 1.0 in n 5.099 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.099 * [taylor]: Taking taylor expansion of 2.0 in n 5.099 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.100 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.100 * [taylor]: Taking taylor expansion of 1.0 in n 5.100 * [taylor]: Taking taylor expansion of (log n) in n 5.100 * [taylor]: Taking taylor expansion of n in n 5.110 * [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 5))) in n 5.110 * [taylor]: Taking taylor expansion of 1.0 in n 5.110 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (pow NAN 5)) in n 5.110 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.110 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.110 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.110 * [taylor]: Taking taylor expansion of 0.5 in n 5.110 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.110 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.110 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.110 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.110 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.110 * [taylor]: Taking taylor expansion of 1.0 in n 5.110 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.110 * [taylor]: Taking taylor expansion of 2.0 in n 5.110 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.110 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.110 * [taylor]: Taking taylor expansion of 1.0 in n 5.110 * [taylor]: Taking taylor expansion of (log PI) in n 5.110 * [taylor]: Taking taylor expansion of PI in n 5.110 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.110 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.110 * [taylor]: Taking taylor expansion of 1.0 in n 5.110 * [taylor]: Taking taylor expansion of (log n) in n 5.110 * [taylor]: Taking taylor expansion of n in n 5.112 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 5.112 * [taylor]: Taking taylor expansion of NAN in n 5.115 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 5.115 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.115 * [taylor]: Taking taylor expansion of 1.0 in n 5.115 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.115 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 5.115 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.115 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.115 * [taylor]: Taking taylor expansion of -1 in n 5.115 * [taylor]: Taking taylor expansion of k in n 5.115 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.115 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.115 * [taylor]: Taking taylor expansion of 0.5 in n 5.115 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.115 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.115 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.115 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.115 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.115 * [taylor]: Taking taylor expansion of 1.0 in n 5.115 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.115 * [taylor]: Taking taylor expansion of -2.0 in n 5.115 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.115 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.115 * [taylor]: Taking taylor expansion of 1.0 in n 5.115 * [taylor]: Taking taylor expansion of (log PI) in n 5.115 * [taylor]: Taking taylor expansion of PI in n 5.115 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.115 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.115 * [taylor]: Taking taylor expansion of 1.0 in n 5.115 * [taylor]: Taking taylor expansion of (log n) in n 5.115 * [taylor]: Taking taylor expansion of n in n 5.117 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 5.117 * [taylor]: Taking taylor expansion of 1.0 in k 5.117 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.117 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.117 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.117 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.117 * [taylor]: Taking taylor expansion of -1 in k 5.117 * [taylor]: Taking taylor expansion of k in k 5.117 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.117 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.117 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.117 * [taylor]: Taking taylor expansion of 0.5 in k 5.117 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.117 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.117 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.117 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.117 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.117 * [taylor]: Taking taylor expansion of 1.0 in k 5.117 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.117 * [taylor]: Taking taylor expansion of -2.0 in k 5.117 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.117 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.117 * [taylor]: Taking taylor expansion of 1.0 in k 5.117 * [taylor]: Taking taylor expansion of (log PI) in k 5.117 * [taylor]: Taking taylor expansion of PI in k 5.117 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.117 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.117 * [taylor]: Taking taylor expansion of 1.0 in k 5.117 * [taylor]: Taking taylor expansion of (log n) in k 5.117 * [taylor]: Taking taylor expansion of n in k 5.118 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 5.118 * [taylor]: Taking taylor expansion of 1.0 in k 5.118 * [taylor]: Taking taylor expansion of (* (/ 1 (sqrt (/ -1 k))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 5.118 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 5.118 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.118 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.118 * [taylor]: Taking taylor expansion of -1 in k 5.118 * [taylor]: Taking taylor expansion of k in k 5.119 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.119 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.119 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.119 * [taylor]: Taking taylor expansion of 0.5 in k 5.119 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.119 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.119 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 5.119 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 5.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 5.119 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 5.119 * [taylor]: Taking taylor expansion of 1.0 in k 5.119 * [taylor]: Taking taylor expansion of (log -2.0) in k 5.119 * [taylor]: Taking taylor expansion of -2.0 in k 5.119 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.119 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.119 * [taylor]: Taking taylor expansion of 1.0 in k 5.119 * [taylor]: Taking taylor expansion of (log PI) in k 5.119 * [taylor]: Taking taylor expansion of PI in k 5.119 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.119 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.119 * [taylor]: Taking taylor expansion of 1.0 in k 5.119 * [taylor]: Taking taylor expansion of (log n) in k 5.119 * [taylor]: Taking taylor expansion of n in k 5.121 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 NAN))) in n 5.121 * [taylor]: Taking taylor expansion of 1.0 in n 5.121 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 NAN)) in n 5.121 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.121 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.121 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.121 * [taylor]: Taking taylor expansion of 0.5 in n 5.121 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.121 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.121 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.121 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.121 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.121 * [taylor]: Taking taylor expansion of 1.0 in n 5.121 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.121 * [taylor]: Taking taylor expansion of -2.0 in n 5.121 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.121 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.121 * [taylor]: Taking taylor expansion of 1.0 in n 5.121 * [taylor]: Taking taylor expansion of (log PI) in n 5.121 * [taylor]: Taking taylor expansion of PI in n 5.121 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.121 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.121 * [taylor]: Taking taylor expansion of 1.0 in n 5.121 * [taylor]: Taking taylor expansion of (log n) in n 5.121 * [taylor]: Taking taylor expansion of n in n 5.122 * [taylor]: Taking taylor expansion of (/ 1 NAN) in n 5.122 * [taylor]: Taking taylor expansion of NAN in n 5.126 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 5.126 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 5.126 * [taylor]: Taking taylor expansion of 1.0 in n 5.126 * [taylor]: Taking taylor expansion of (* NAN (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 5.126 * [taylor]: Taking taylor expansion of NAN in n 5.126 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.126 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.126 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.126 * [taylor]: Taking taylor expansion of 0.5 in n 5.126 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.126 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.126 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.126 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.126 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.126 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.127 * [taylor]: Taking taylor expansion of 1.0 in n 5.127 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.127 * [taylor]: Taking taylor expansion of -2.0 in n 5.127 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.127 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.127 * [taylor]: Taking taylor expansion of 1.0 in n 5.127 * [taylor]: Taking taylor expansion of (log PI) in n 5.127 * [taylor]: Taking taylor expansion of PI in n 5.127 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.127 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.127 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.127 * [taylor]: Taking taylor expansion of 1.0 in n 5.127 * [taylor]: Taking taylor expansion of (log n) in n 5.127 * [taylor]: Taking taylor expansion of n in n 5.136 * [taylor]: Taking taylor expansion of 0 in n 5.151 * [taylor]: Taking taylor expansion of 0 in n 5.152 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.152 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 5.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.152 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.152 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.152 * [taylor]: Taking taylor expansion of 0.5 in n 5.152 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.152 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.152 * [taylor]: Taking taylor expansion of 2.0 in n 5.152 * [taylor]: Taking taylor expansion of (* n PI) in n 5.152 * [taylor]: Taking taylor expansion of n in n 5.152 * [taylor]: Taking taylor expansion of PI in n 5.152 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 5.152 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 5.152 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 5.152 * [taylor]: Taking taylor expansion of 0.5 in n 5.152 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.152 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.152 * [taylor]: Taking taylor expansion of 2.0 in n 5.152 * [taylor]: Taking taylor expansion of (* n PI) in n 5.152 * [taylor]: Taking taylor expansion of n in n 5.152 * [taylor]: Taking taylor expansion of PI in n 5.161 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 5.161 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.161 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.161 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.161 * [taylor]: Taking taylor expansion of 0.5 in n 5.161 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.161 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.161 * [taylor]: Taking taylor expansion of 2.0 in n 5.161 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.161 * [taylor]: Taking taylor expansion of PI in n 5.161 * [taylor]: Taking taylor expansion of n in n 5.161 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 5.161 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 5.161 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 5.161 * [taylor]: Taking taylor expansion of 0.5 in n 5.161 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.161 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.161 * [taylor]: Taking taylor expansion of 2.0 in n 5.161 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.161 * [taylor]: Taking taylor expansion of PI in n 5.161 * [taylor]: Taking taylor expansion of n in n 5.170 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 5.170 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.170 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.170 * [taylor]: Taking taylor expansion of 0.5 in n 5.170 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.170 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.170 * [taylor]: Taking taylor expansion of -2.0 in n 5.170 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.170 * [taylor]: Taking taylor expansion of PI in n 5.170 * [taylor]: Taking taylor expansion of n in n 5.170 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 5.170 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 5.170 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 5.170 * [taylor]: Taking taylor expansion of 0.5 in n 5.170 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.170 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.170 * [taylor]: Taking taylor expansion of -2.0 in n 5.170 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.170 * [taylor]: Taking taylor expansion of PI in n 5.171 * [taylor]: Taking taylor expansion of n in n 5.179 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.179 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.179 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.179 * [taylor]: Taking taylor expansion of 1.0 in k 5.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.179 * [taylor]: Taking taylor expansion of k in k 5.179 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.179 * [taylor]: Taking taylor expansion of 1.0 in k 5.179 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.179 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.179 * [taylor]: Taking taylor expansion of k in k 5.180 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.180 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.180 * [taylor]: Taking taylor expansion of 1.0 in k 5.180 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.181 * [taylor]: Taking taylor expansion of k in k 5.181 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.181 * [taylor]: Taking taylor expansion of 1.0 in k 5.181 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.181 * [taylor]: Taking taylor expansion of k in k 5.182 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.182 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.182 * [taylor]: Taking taylor expansion of 1.0 in k 5.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.182 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.182 * [taylor]: Taking taylor expansion of -1 in k 5.182 * [taylor]: Taking taylor expansion of k in k 5.182 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.182 * [taylor]: Taking taylor expansion of 1.0 in k 5.182 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.182 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.182 * [taylor]: Taking taylor expansion of -1 in k 5.182 * [taylor]: Taking taylor expansion of k in k 5.187 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 5.187 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.187 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.187 * [taylor]: Taking taylor expansion of 2.0 in n 5.187 * [taylor]: Taking taylor expansion of (* n PI) in n 5.187 * [taylor]: Taking taylor expansion of n in n 5.187 * [taylor]: Taking taylor expansion of PI in n 5.187 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.187 * [taylor]: Taking taylor expansion of 2.0 in n 5.187 * [taylor]: Taking taylor expansion of (* n PI) in n 5.187 * [taylor]: Taking taylor expansion of n in n 5.188 * [taylor]: Taking taylor expansion of PI in n 5.188 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.188 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.188 * [taylor]: Taking taylor expansion of 2.0 in n 5.189 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.189 * [taylor]: Taking taylor expansion of PI in n 5.189 * [taylor]: Taking taylor expansion of n in n 5.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.189 * [taylor]: Taking taylor expansion of 2.0 in n 5.189 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.189 * [taylor]: Taking taylor expansion of PI in n 5.189 * [taylor]: Taking taylor expansion of n in n 5.190 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.190 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.190 * [taylor]: Taking taylor expansion of -2.0 in n 5.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.190 * [taylor]: Taking taylor expansion of PI in n 5.190 * [taylor]: Taking taylor expansion of n in n 5.190 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.190 * [taylor]: Taking taylor expansion of -2.0 in n 5.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.190 * [taylor]: Taking taylor expansion of PI in n 5.190 * [taylor]: Taking taylor expansion of n in n 5.191 * * * [progress]: simplifying candidates 5.193 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 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)))) (* (* (* (/ 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)))) (* (cbrt (* (/ 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))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 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))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (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))) (* (/ (cbrt 1.0) (sqrt (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))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log n) (log 1)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow (exp (* 1.0 (+ (log n) (log 1)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 1.0 (* (pow (* (pow (exp (* 1.0 (+ (log n) (log 1)))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) NAN)))) (+ (* 1.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log (/ 1 n)) (log 1)))) 1.0)) 0.5) (/ (pow NAN 5) (pow k 3)))) (+ (* 1.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log (/ 1 n)) (log 1)))) 1.0)) 0.5) (/ NAN k))) (* 1.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log (/ 1 n)) (log 1)))) 1.0)) 0.5) (/ (pow NAN 3) (pow k 2)))))) (+ (* 1.0 (* (/ 1 NAN) (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 k) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ (pow NAN 5) (pow k 3))))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 5.204 * * [simplify]: iteration 0 : 282 enodes (cost 2219 ) 5.255 * * [simplify]: iteration 1 : 748 enodes (cost 2082 ) 5.408 * * [simplify]: iteration 2 : 2603 enodes (cost 1883 ) 5.811 * * [simplify]: iteration done : 5000 enodes (cost 1877 ) 5.812 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (* (cbrt (* (/ 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))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 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))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (cbrt 1.0) (sqrt (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))) (* (/ (cbrt 1.0) (sqrt (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))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (sqrt k)) (* 1.0 (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 (* (* n PI) 2.0) (* (cbrt 1.0) (cbrt 1.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* n PI) 2.0) (sqrt 1.0)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* n PI) 2.0) (* (* n PI) 2.0) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (log (/ 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) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* n PI) 2.0) (* (* n PI) 2.0) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (log (* (* n PI) 2.0)) (exp (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (pow (* (* n PI) 2.0) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* n PI) 2.0) 3) (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) (* PI n) (* 1.0 (+ (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (+ (* (pow k 2) (pow NAN 5)) NAN)) (* (* (pow (* (pow (pow (exp 1.0) (log n)) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) k) (pow NAN 3)))) (* 1.0 (+ (/ (pow (/ (pow PI 1.0) (/ (pow (pow (exp 1.0) (neg (log n))) 1.0) (pow 2.0 1.0))) 0.5) (/ (pow k 3) (pow NAN 5))) (* (pow (/ (pow PI 1.0) (/ (pow (pow (exp 1.0) (neg (log n))) 1.0) (pow 2.0 1.0))) 0.5) (+ (/ NAN k) (/ (pow NAN 3) (pow k 2)))))) (* 1.0 (* (pow (/ (pow PI 1.0) (/ (pow (pow (exp 1.0) (log (/ -1 n))) 1.0) (pow -2.0 1.0))) 0.5) (+ (/ NAN k) (/ 1 NAN)))) (pow (* (* n PI) 2.0) 0.5) (pow (* (* n PI) 2.0) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (* 1.0 (+ (+ NAN (* k (pow NAN 3))) (* (pow k 2) (pow NAN 5)))) (* 1.0 (+ (+ (/ NAN k) (/ (pow NAN 5) (pow k 3))) (/ (pow NAN 3) (pow k 2)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* n PI) 2.0) (* (* n PI) 2.0) (* (* n PI) 2.0) 5.813 * * * [progress]: adding candidates to table 6.098 * [progress]: [Phase 3 of 3] Extracting. 6.098 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 6.101 * * * [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) 6.101 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # # #) 6.180 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # # # #) 6.265 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# #) 6.316 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # # #) 6.390 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # # #) 6.466 * * * [regime]: Found split indices: #