34.192 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.077 * * * [progress]: [2/2] Setting up program. 0.080 * [progress]: [Phase 2 of 3] Improving. 0.080 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.082 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.084 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.085 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.088 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.093 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.117 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.117 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.117 * * [progress]: iteration 1 / 4 0.117 * * * [progress]: picking best candidate 0.119 * * * * [pick]: Picked # 0.119 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.144 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.154 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.178 * * * [progress]: generating series expansions 0.178 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.179 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.179 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.179 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.179 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.179 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.179 * [taylor]: Taking taylor expansion of 0.5 in k 0.179 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.179 * [taylor]: Taking taylor expansion of 1.0 in k 0.179 * [taylor]: Taking taylor expansion of k in k 0.179 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.179 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.179 * [taylor]: Taking taylor expansion of 2.0 in k 0.179 * [taylor]: Taking taylor expansion of (* n PI) in k 0.179 * [taylor]: Taking taylor expansion of n in k 0.179 * [taylor]: Taking taylor expansion of PI in k 0.180 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.180 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.180 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.180 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.180 * [taylor]: Taking taylor expansion of 0.5 in n 0.180 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.180 * [taylor]: Taking taylor expansion of 1.0 in n 0.180 * [taylor]: Taking taylor expansion of k in n 0.180 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.180 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.180 * [taylor]: Taking taylor expansion of 2.0 in n 0.180 * [taylor]: Taking taylor expansion of (* n PI) in n 0.180 * [taylor]: Taking taylor expansion of n in n 0.180 * [taylor]: Taking taylor expansion of PI in n 0.186 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.186 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.186 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.186 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.186 * [taylor]: Taking taylor expansion of 0.5 in n 0.186 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.186 * [taylor]: Taking taylor expansion of 1.0 in n 0.186 * [taylor]: Taking taylor expansion of k in n 0.186 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.186 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.186 * [taylor]: Taking taylor expansion of 2.0 in n 0.186 * [taylor]: Taking taylor expansion of (* n PI) in n 0.186 * [taylor]: Taking taylor expansion of n in n 0.186 * [taylor]: Taking taylor expansion of PI in n 0.192 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.192 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.192 * [taylor]: Taking taylor expansion of 0.5 in k 0.192 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.192 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.192 * [taylor]: Taking taylor expansion of 1.0 in k 0.192 * [taylor]: Taking taylor expansion of k in k 0.192 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.192 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.192 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.192 * [taylor]: Taking taylor expansion of 2.0 in k 0.192 * [taylor]: Taking taylor expansion of PI in k 0.193 * [taylor]: Taking taylor expansion of (log n) in k 0.193 * [taylor]: Taking taylor expansion of n in k 0.202 * [taylor]: Taking taylor expansion of 0 in k 0.218 * [taylor]: Taking taylor expansion of 0 in k 0.242 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.242 * [taylor]: Taking taylor expansion of 0.5 in k 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.242 * [taylor]: Taking taylor expansion of 1.0 in k 0.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.242 * [taylor]: Taking taylor expansion of k in k 0.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.242 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.242 * [taylor]: Taking taylor expansion of 2.0 in k 0.242 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.242 * [taylor]: Taking taylor expansion of PI in k 0.242 * [taylor]: Taking taylor expansion of n in k 0.243 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.243 * [taylor]: Taking taylor expansion of 0.5 in n 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.243 * [taylor]: Taking taylor expansion of 1.0 in n 0.243 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.243 * [taylor]: Taking taylor expansion of k in n 0.243 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.243 * [taylor]: Taking taylor expansion of 2.0 in n 0.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.244 * [taylor]: Taking taylor expansion of PI in n 0.244 * [taylor]: Taking taylor expansion of n in n 0.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.247 * [taylor]: Taking taylor expansion of 0.5 in n 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.247 * [taylor]: Taking taylor expansion of 1.0 in n 0.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.247 * [taylor]: Taking taylor expansion of k in n 0.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.247 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.247 * [taylor]: Taking taylor expansion of 2.0 in n 0.247 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.248 * [taylor]: Taking taylor expansion of PI in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.251 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.251 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.251 * [taylor]: Taking taylor expansion of 0.5 in k 0.251 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.251 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.251 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.251 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.251 * [taylor]: Taking taylor expansion of 2.0 in k 0.251 * [taylor]: Taking taylor expansion of PI in k 0.252 * [taylor]: Taking taylor expansion of (log n) in k 0.252 * [taylor]: Taking taylor expansion of n in k 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.252 * [taylor]: Taking taylor expansion of 1.0 in k 0.252 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.252 * [taylor]: Taking taylor expansion of k in k 0.262 * [taylor]: Taking taylor expansion of 0 in k 0.270 * [taylor]: Taking taylor expansion of 0 in k 0.279 * [taylor]: Taking taylor expansion of 0 in k 0.280 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.280 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.280 * [taylor]: Taking taylor expansion of 0.5 in k 0.280 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.280 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.280 * [taylor]: Taking taylor expansion of k in k 0.280 * [taylor]: Taking taylor expansion of 1.0 in k 0.280 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.280 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.280 * [taylor]: Taking taylor expansion of -2.0 in k 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.281 * [taylor]: Taking taylor expansion of PI in k 0.281 * [taylor]: Taking taylor expansion of n in k 0.281 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.281 * [taylor]: Taking taylor expansion of 0.5 in n 0.281 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.281 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.281 * [taylor]: Taking taylor expansion of k in n 0.282 * [taylor]: Taking taylor expansion of 1.0 in n 0.282 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.282 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.282 * [taylor]: Taking taylor expansion of -2.0 in n 0.282 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.282 * [taylor]: Taking taylor expansion of PI in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.285 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.285 * [taylor]: Taking taylor expansion of 0.5 in n 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.285 * [taylor]: Taking taylor expansion of k in n 0.285 * [taylor]: Taking taylor expansion of 1.0 in n 0.285 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.285 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.285 * [taylor]: Taking taylor expansion of -2.0 in n 0.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.286 * [taylor]: Taking taylor expansion of PI in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.289 * [taylor]: Taking taylor expansion of 0.5 in k 0.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.289 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.290 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.290 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.290 * [taylor]: Taking taylor expansion of -2.0 in k 0.290 * [taylor]: Taking taylor expansion of PI in k 0.291 * [taylor]: Taking taylor expansion of (log n) in k 0.291 * [taylor]: Taking taylor expansion of n in k 0.300 * [taylor]: Taking taylor expansion of 0 in k 0.307 * [taylor]: Taking taylor expansion of 0 in k 0.319 * [taylor]: Taking taylor expansion of 0 in k 0.320 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.320 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.320 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.320 * [taylor]: Taking taylor expansion of 1.0 in k 0.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.320 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.320 * [taylor]: Taking taylor expansion of k in k 0.321 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.321 * [taylor]: Taking taylor expansion of 1.0 in k 0.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.321 * [taylor]: Taking taylor expansion of k in k 0.332 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.333 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.333 * [taylor]: Taking taylor expansion of k in k 0.344 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.344 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.344 * [taylor]: Taking taylor expansion of 1.0 in k 0.344 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.344 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.344 * [taylor]: Taking taylor expansion of -1 in k 0.344 * [taylor]: Taking taylor expansion of k in k 0.345 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.345 * [taylor]: Taking taylor expansion of 1.0 in k 0.345 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.345 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.345 * [taylor]: Taking taylor expansion of -1 in k 0.345 * [taylor]: Taking taylor expansion of k in k 0.357 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.357 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.357 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.358 * [taylor]: Taking taylor expansion of 2.0 in n 0.358 * [taylor]: Taking taylor expansion of (* n PI) in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.358 * [taylor]: Taking taylor expansion of PI in n 0.358 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.358 * [taylor]: Taking taylor expansion of 2.0 in n 0.358 * [taylor]: Taking taylor expansion of (* n PI) in n 0.358 * [taylor]: Taking taylor expansion of n in n 0.358 * [taylor]: Taking taylor expansion of PI in n 0.370 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.370 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.370 * [taylor]: Taking taylor expansion of 2.0 in n 0.370 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.370 * [taylor]: Taking taylor expansion of PI in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.370 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.370 * [taylor]: Taking taylor expansion of 2.0 in n 0.370 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.370 * [taylor]: Taking taylor expansion of PI in n 0.370 * [taylor]: Taking taylor expansion of n in n 0.379 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.379 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.379 * [taylor]: Taking taylor expansion of -2.0 in n 0.379 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.379 * [taylor]: Taking taylor expansion of PI in n 0.379 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.380 * [taylor]: Taking taylor expansion of -2.0 in n 0.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.388 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.389 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.389 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.389 * [taylor]: Taking taylor expansion of 1.0 in n 0.389 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.389 * [taylor]: Taking taylor expansion of k in n 0.389 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.389 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.389 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.389 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.389 * [taylor]: Taking taylor expansion of 0.5 in n 0.389 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.389 * [taylor]: Taking taylor expansion of 1.0 in n 0.389 * [taylor]: Taking taylor expansion of k in n 0.389 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.389 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.389 * [taylor]: Taking taylor expansion of 2.0 in n 0.389 * [taylor]: Taking taylor expansion of (* n PI) in n 0.389 * [taylor]: Taking taylor expansion of n in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.395 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.395 * [taylor]: Taking taylor expansion of 1.0 in k 0.395 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.395 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.395 * [taylor]: Taking taylor expansion of k in k 0.396 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.396 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.396 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.396 * [taylor]: Taking taylor expansion of 0.5 in k 0.396 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.396 * [taylor]: Taking taylor expansion of 1.0 in k 0.396 * [taylor]: Taking taylor expansion of k in k 0.396 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.396 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.396 * [taylor]: Taking taylor expansion of 2.0 in k 0.396 * [taylor]: Taking taylor expansion of (* n PI) in k 0.396 * [taylor]: Taking taylor expansion of n in k 0.396 * [taylor]: Taking taylor expansion of PI in k 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.400 * [taylor]: Taking taylor expansion of 1.0 in k 0.400 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.400 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.400 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.400 * [taylor]: Taking taylor expansion of k in k 0.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.401 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.401 * [taylor]: Taking taylor expansion of 0.5 in k 0.401 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.401 * [taylor]: Taking taylor expansion of 1.0 in k 0.402 * [taylor]: Taking taylor expansion of k in k 0.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.402 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.402 * [taylor]: Taking taylor expansion of 2.0 in k 0.402 * [taylor]: Taking taylor expansion of (* n PI) in k 0.402 * [taylor]: Taking taylor expansion of n in k 0.402 * [taylor]: Taking taylor expansion of PI in k 0.403 * [taylor]: Taking taylor expansion of 0 in n 0.408 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.408 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.408 * [taylor]: Taking taylor expansion of +nan.0 in n 0.408 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.408 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.408 * [taylor]: Taking taylor expansion of 0.5 in n 0.408 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.408 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.409 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.409 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.409 * [taylor]: Taking taylor expansion of 1.0 in n 0.409 * [taylor]: Taking taylor expansion of (log PI) in n 0.409 * [taylor]: Taking taylor expansion of PI in n 0.410 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.410 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.410 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.410 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.411 * [taylor]: Taking taylor expansion of 1.0 in n 0.411 * [taylor]: Taking taylor expansion of (log n) in n 0.411 * [taylor]: Taking taylor expansion of n in n 0.411 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.411 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.411 * [taylor]: Taking taylor expansion of 1.0 in n 0.411 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.411 * [taylor]: Taking taylor expansion of 2.0 in n 0.431 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.431 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.431 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.431 * [taylor]: Taking taylor expansion of +nan.0 in n 0.431 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.431 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.431 * [taylor]: Taking taylor expansion of 0.5 in n 0.431 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.431 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.431 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.431 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.431 * [taylor]: Taking taylor expansion of 1.0 in n 0.431 * [taylor]: Taking taylor expansion of (log PI) in n 0.431 * [taylor]: Taking taylor expansion of PI in n 0.433 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.433 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.433 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.433 * [taylor]: Taking taylor expansion of 1.0 in n 0.433 * [taylor]: Taking taylor expansion of (log n) in n 0.433 * [taylor]: Taking taylor expansion of n in n 0.433 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.434 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.434 * [taylor]: Taking taylor expansion of 1.0 in n 0.434 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.434 * [taylor]: Taking taylor expansion of 2.0 in n 0.439 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.439 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.439 * [taylor]: Taking taylor expansion of +nan.0 in n 0.439 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.439 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.439 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.439 * [taylor]: Taking taylor expansion of 0.5 in n 0.439 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.439 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.439 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.439 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.439 * [taylor]: Taking taylor expansion of 1.0 in n 0.439 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.439 * [taylor]: Taking taylor expansion of 2.0 in n 0.441 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.441 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.441 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.441 * [taylor]: Taking taylor expansion of 1.0 in n 0.441 * [taylor]: Taking taylor expansion of (log PI) in n 0.441 * [taylor]: Taking taylor expansion of PI in n 0.443 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.443 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.443 * [taylor]: Taking taylor expansion of 1.0 in n 0.443 * [taylor]: Taking taylor expansion of (log n) in n 0.443 * [taylor]: Taking taylor expansion of n in n 0.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.447 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.447 * [taylor]: Taking taylor expansion of 2.0 in n 0.447 * [taylor]: Taking taylor expansion of (* n PI) in n 0.447 * [taylor]: Taking taylor expansion of n in n 0.447 * [taylor]: Taking taylor expansion of PI in n 0.500 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.500 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.500 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.500 * [taylor]: Taking taylor expansion of +nan.0 in n 0.500 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.500 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.500 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.500 * [taylor]: Taking taylor expansion of 0.5 in n 0.500 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.500 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.500 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.500 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.500 * [taylor]: Taking taylor expansion of 1.0 in n 0.500 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.500 * [taylor]: Taking taylor expansion of 2.0 in n 0.502 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.502 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.502 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.502 * [taylor]: Taking taylor expansion of 1.0 in n 0.502 * [taylor]: Taking taylor expansion of (log n) in n 0.502 * [taylor]: Taking taylor expansion of n in n 0.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log PI) in n 0.503 * [taylor]: Taking taylor expansion of PI in n 0.508 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.508 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.508 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.508 * [taylor]: Taking taylor expansion of +nan.0 in n 0.508 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.508 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.508 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.508 * [taylor]: Taking taylor expansion of 0.5 in n 0.509 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.509 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.509 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.509 * [taylor]: Taking taylor expansion of 1.0 in n 0.509 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.509 * [taylor]: Taking taylor expansion of 2.0 in n 0.510 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.510 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.510 * [taylor]: Taking taylor expansion of 1.0 in n 0.510 * [taylor]: Taking taylor expansion of (log PI) in n 0.511 * [taylor]: Taking taylor expansion of PI in n 0.512 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log n) in n 0.512 * [taylor]: Taking taylor expansion of n in n 0.517 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.517 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.517 * [taylor]: Taking taylor expansion of 2.0 in n 0.517 * [taylor]: Taking taylor expansion of (* n PI) in n 0.517 * [taylor]: Taking taylor expansion of n in n 0.517 * [taylor]: Taking taylor expansion of PI in n 0.520 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.520 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.520 * [taylor]: Taking taylor expansion of +nan.0 in n 0.520 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.520 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.520 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.520 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.520 * [taylor]: Taking taylor expansion of 0.5 in n 0.520 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.520 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.520 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.520 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.520 * [taylor]: Taking taylor expansion of 1.0 in n 0.520 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.520 * [taylor]: Taking taylor expansion of 2.0 in n 0.522 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.522 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.522 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.522 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.522 * [taylor]: Taking taylor expansion of 1.0 in n 0.522 * [taylor]: Taking taylor expansion of (log PI) in n 0.522 * [taylor]: Taking taylor expansion of PI in n 0.524 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.524 * [taylor]: Taking taylor expansion of 1.0 in n 0.524 * [taylor]: Taking taylor expansion of (log n) in n 0.524 * [taylor]: Taking taylor expansion of n in n 0.528 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.528 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.528 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.528 * [taylor]: Taking taylor expansion of 2.0 in n 0.528 * [taylor]: Taking taylor expansion of (* n PI) in n 0.528 * [taylor]: Taking taylor expansion of n in n 0.528 * [taylor]: Taking taylor expansion of PI in n 0.606 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.606 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.606 * [taylor]: Taking taylor expansion of 1.0 in n 0.606 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.606 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.606 * [taylor]: Taking taylor expansion of k in n 0.606 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.606 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.606 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.606 * [taylor]: Taking taylor expansion of 0.5 in n 0.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.606 * [taylor]: Taking taylor expansion of 1.0 in n 0.606 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.606 * [taylor]: Taking taylor expansion of k in n 0.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.606 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.606 * [taylor]: Taking taylor expansion of 2.0 in n 0.606 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.606 * [taylor]: Taking taylor expansion of PI in n 0.606 * [taylor]: Taking taylor expansion of n in n 0.610 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.610 * [taylor]: Taking taylor expansion of 1.0 in k 0.610 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.610 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.610 * [taylor]: Taking taylor expansion of k in k 0.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.611 * [taylor]: Taking taylor expansion of 0.5 in k 0.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.611 * [taylor]: Taking taylor expansion of 1.0 in k 0.611 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.612 * [taylor]: Taking taylor expansion of k in k 0.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.612 * [taylor]: Taking taylor expansion of 2.0 in k 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.612 * [taylor]: Taking taylor expansion of PI in k 0.612 * [taylor]: Taking taylor expansion of n in k 0.613 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.613 * [taylor]: Taking taylor expansion of 1.0 in k 0.613 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.613 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.613 * [taylor]: Taking taylor expansion of k in k 0.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.614 * [taylor]: Taking taylor expansion of 0.5 in k 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.614 * [taylor]: Taking taylor expansion of 1.0 in k 0.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.614 * [taylor]: Taking taylor expansion of k in k 0.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.614 * [taylor]: Taking taylor expansion of 2.0 in k 0.614 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.615 * [taylor]: Taking taylor expansion of PI in k 0.615 * [taylor]: Taking taylor expansion of n in k 0.616 * [taylor]: Taking taylor expansion of 0 in n 0.617 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.617 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.617 * [taylor]: Taking taylor expansion of +nan.0 in n 0.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.617 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.617 * [taylor]: Taking taylor expansion of 0.5 in n 0.617 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.617 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.617 * [taylor]: Taking taylor expansion of 2.0 in n 0.617 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.617 * [taylor]: Taking taylor expansion of PI in n 0.617 * [taylor]: Taking taylor expansion of n in n 0.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.618 * [taylor]: Taking taylor expansion of 1.0 in n 0.618 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.618 * [taylor]: Taking taylor expansion of k in n 0.627 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.627 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.627 * [taylor]: Taking taylor expansion of +nan.0 in n 0.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.627 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.627 * [taylor]: Taking taylor expansion of 0.5 in n 0.627 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.627 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.627 * [taylor]: Taking taylor expansion of 2.0 in n 0.627 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.627 * [taylor]: Taking taylor expansion of PI in n 0.627 * [taylor]: Taking taylor expansion of n in n 0.628 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.628 * [taylor]: Taking taylor expansion of 1.0 in n 0.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.628 * [taylor]: Taking taylor expansion of k in n 0.645 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.645 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.645 * [taylor]: Taking taylor expansion of +nan.0 in n 0.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.645 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.645 * [taylor]: Taking taylor expansion of 0.5 in n 0.645 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.645 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.645 * [taylor]: Taking taylor expansion of 2.0 in n 0.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.645 * [taylor]: Taking taylor expansion of PI in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.647 * [taylor]: Taking taylor expansion of 1.0 in n 0.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.647 * [taylor]: Taking taylor expansion of k in n 0.656 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.656 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.656 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.656 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.656 * [taylor]: Taking taylor expansion of 0.5 in n 0.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.656 * [taylor]: Taking taylor expansion of k in n 0.656 * [taylor]: Taking taylor expansion of 1.0 in n 0.656 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.656 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.656 * [taylor]: Taking taylor expansion of -2.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.656 * [taylor]: Taking taylor expansion of PI in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.663 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.663 * [taylor]: Taking taylor expansion of -1 in n 0.663 * [taylor]: Taking taylor expansion of k in n 0.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.664 * [taylor]: Taking taylor expansion of 1.0 in k 0.664 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.664 * [taylor]: Taking taylor expansion of 0.5 in k 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.664 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.665 * [taylor]: Taking taylor expansion of k in k 0.665 * [taylor]: Taking taylor expansion of 1.0 in k 0.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.665 * [taylor]: Taking taylor expansion of -2.0 in k 0.665 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.665 * [taylor]: Taking taylor expansion of PI in k 0.665 * [taylor]: Taking taylor expansion of n in k 0.666 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.666 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.666 * [taylor]: Taking taylor expansion of -1 in k 0.666 * [taylor]: Taking taylor expansion of k in k 0.667 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.667 * [taylor]: Taking taylor expansion of 1.0 in k 0.667 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.667 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.667 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.667 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.667 * [taylor]: Taking taylor expansion of 0.5 in k 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.667 * [taylor]: Taking taylor expansion of k in k 0.668 * [taylor]: Taking taylor expansion of 1.0 in k 0.668 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.668 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.668 * [taylor]: Taking taylor expansion of -2.0 in k 0.668 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.668 * [taylor]: Taking taylor expansion of PI in k 0.668 * [taylor]: Taking taylor expansion of n in k 0.668 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.669 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.669 * [taylor]: Taking taylor expansion of -1 in k 0.669 * [taylor]: Taking taylor expansion of k in k 0.670 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.670 * [taylor]: Taking taylor expansion of +nan.0 in n 0.670 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.670 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.670 * [taylor]: Taking taylor expansion of 0.5 in n 0.670 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.670 * [taylor]: Taking taylor expansion of k in n 0.670 * [taylor]: Taking taylor expansion of 1.0 in n 0.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.670 * [taylor]: Taking taylor expansion of -2.0 in n 0.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.670 * [taylor]: Taking taylor expansion of PI in n 0.670 * [taylor]: Taking taylor expansion of n in n 0.680 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.680 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.680 * [taylor]: Taking taylor expansion of +nan.0 in n 0.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.680 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.680 * [taylor]: Taking taylor expansion of 0.5 in n 0.680 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.680 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.680 * [taylor]: Taking taylor expansion of k in n 0.680 * [taylor]: Taking taylor expansion of 1.0 in n 0.680 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.680 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.680 * [taylor]: Taking taylor expansion of -2.0 in n 0.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.680 * [taylor]: Taking taylor expansion of PI in n 0.680 * [taylor]: Taking taylor expansion of n in n 0.698 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.698 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.698 * [taylor]: Taking taylor expansion of +nan.0 in n 0.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.698 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.698 * [taylor]: Taking taylor expansion of 0.5 in n 0.698 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.698 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.698 * [taylor]: Taking taylor expansion of k in n 0.698 * [taylor]: Taking taylor expansion of 1.0 in n 0.698 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.698 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.698 * [taylor]: Taking taylor expansion of -2.0 in n 0.698 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.698 * [taylor]: Taking taylor expansion of PI in n 0.698 * [taylor]: Taking taylor expansion of n in n 0.707 * * * [progress]: simplifying candidates 0.710 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (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))) (- 1.0) (- (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (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))) 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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)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 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))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.809 * * * [progress]: adding candidates to table 1.234 * * [progress]: iteration 2 / 4 1.234 * * * [progress]: picking best candidate 1.257 * * * * [pick]: Picked # 1.257 * * * [progress]: localizing error 1.269 * * * [progress]: generating rewritten candidates 1.269 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1) 1.278 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1) 1.285 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 1.295 * * * [progress]: generating series expansions 1.295 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1) 1.295 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.296 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.296 * [taylor]: Taking taylor expansion of 0.5 in k 1.296 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.296 * [taylor]: Taking taylor expansion of 1.0 in k 1.296 * [taylor]: Taking taylor expansion of k in k 1.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.296 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.296 * [taylor]: Taking taylor expansion of 2.0 in k 1.296 * [taylor]: Taking taylor expansion of (* n PI) in k 1.296 * [taylor]: Taking taylor expansion of n in k 1.296 * [taylor]: Taking taylor expansion of PI in k 1.297 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.297 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.297 * [taylor]: Taking taylor expansion of 0.5 in n 1.297 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.297 * [taylor]: Taking taylor expansion of 1.0 in n 1.297 * [taylor]: Taking taylor expansion of k in n 1.297 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.297 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.297 * [taylor]: Taking taylor expansion of 2.0 in n 1.297 * [taylor]: Taking taylor expansion of (* n PI) in n 1.297 * [taylor]: Taking taylor expansion of n in n 1.297 * [taylor]: Taking taylor expansion of PI in n 1.302 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.303 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.303 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.303 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.303 * [taylor]: Taking taylor expansion of 0.5 in n 1.303 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.303 * [taylor]: Taking taylor expansion of 1.0 in n 1.303 * [taylor]: Taking taylor expansion of k in n 1.303 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.303 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.303 * [taylor]: Taking taylor expansion of 2.0 in n 1.303 * [taylor]: Taking taylor expansion of (* n PI) in n 1.303 * [taylor]: Taking taylor expansion of n in n 1.303 * [taylor]: Taking taylor expansion of PI in n 1.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.308 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.308 * [taylor]: Taking taylor expansion of 0.5 in k 1.308 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.308 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.308 * [taylor]: Taking taylor expansion of 1.0 in k 1.308 * [taylor]: Taking taylor expansion of k in k 1.308 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.309 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.309 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.309 * [taylor]: Taking taylor expansion of 2.0 in k 1.309 * [taylor]: Taking taylor expansion of PI in k 1.310 * [taylor]: Taking taylor expansion of (log n) in k 1.310 * [taylor]: Taking taylor expansion of n in k 1.319 * [taylor]: Taking taylor expansion of 0 in k 1.338 * [taylor]: Taking taylor expansion of 0 in k 1.357 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 1.357 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.357 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.357 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.357 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.357 * [taylor]: Taking taylor expansion of 0.5 in k 1.357 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.357 * [taylor]: Taking taylor expansion of 1.0 in k 1.357 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.357 * [taylor]: Taking taylor expansion of k in k 1.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.358 * [taylor]: Taking taylor expansion of 2.0 in k 1.358 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.358 * [taylor]: Taking taylor expansion of PI in k 1.358 * [taylor]: Taking taylor expansion of n in k 1.359 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.359 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.359 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.359 * [taylor]: Taking taylor expansion of 0.5 in n 1.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.359 * [taylor]: Taking taylor expansion of 1.0 in n 1.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.359 * [taylor]: Taking taylor expansion of k in n 1.359 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.359 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.359 * [taylor]: Taking taylor expansion of 2.0 in n 1.359 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.359 * [taylor]: Taking taylor expansion of PI in n 1.359 * [taylor]: Taking taylor expansion of n in n 1.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.363 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.363 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.363 * [taylor]: Taking taylor expansion of 0.5 in n 1.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.363 * [taylor]: Taking taylor expansion of 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 (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 1.367 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.367 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.367 * [taylor]: Taking taylor expansion of 0.5 in k 1.367 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.367 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.367 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.367 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.367 * [taylor]: Taking taylor expansion of 2.0 in k 1.367 * [taylor]: Taking taylor expansion of PI in k 1.368 * [taylor]: Taking taylor expansion of (log n) in k 1.368 * [taylor]: Taking taylor expansion of n in k 1.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.368 * [taylor]: Taking taylor expansion of 1.0 in k 1.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.368 * [taylor]: Taking taylor expansion of k in k 1.378 * [taylor]: Taking taylor expansion of 0 in k 1.385 * [taylor]: Taking taylor expansion of 0 in k 1.394 * [taylor]: Taking taylor expansion of 0 in k 1.395 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 1.395 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.395 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.395 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.395 * [taylor]: Taking taylor expansion of 0.5 in k 1.395 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.395 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.395 * [taylor]: Taking taylor expansion of k in k 1.396 * [taylor]: Taking taylor expansion of 1.0 in k 1.396 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.396 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.396 * [taylor]: Taking taylor expansion of -2.0 in k 1.396 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.396 * [taylor]: Taking taylor expansion of PI in k 1.396 * [taylor]: Taking taylor expansion of n in k 1.396 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.397 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.397 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.397 * [taylor]: Taking taylor expansion of 0.5 in n 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.397 * [taylor]: Taking taylor expansion of k in n 1.397 * [taylor]: Taking taylor expansion of 1.0 in n 1.397 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.397 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.397 * [taylor]: Taking taylor expansion of -2.0 in n 1.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.397 * [taylor]: Taking taylor expansion of PI in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.401 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.401 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.401 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.401 * [taylor]: Taking taylor expansion of 0.5 in n 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.401 * [taylor]: Taking taylor expansion of k in n 1.401 * [taylor]: Taking taylor expansion of 1.0 in n 1.401 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.401 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.401 * [taylor]: Taking taylor expansion of -2.0 in n 1.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.401 * [taylor]: Taking taylor expansion of PI in n 1.401 * [taylor]: Taking taylor expansion of n in n 1.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.405 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.405 * [taylor]: Taking taylor expansion of 0.5 in k 1.405 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.405 * [taylor]: Taking taylor expansion of k in k 1.405 * [taylor]: Taking taylor expansion of 1.0 in k 1.405 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.405 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.405 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.405 * [taylor]: Taking taylor expansion of -2.0 in k 1.405 * [taylor]: Taking taylor expansion of PI in k 1.406 * [taylor]: Taking taylor expansion of (log n) in k 1.406 * [taylor]: Taking taylor expansion of n in k 1.415 * [taylor]: Taking taylor expansion of 0 in k 1.427 * [taylor]: Taking taylor expansion of 0 in k 1.436 * [taylor]: Taking taylor expansion of 0 in k 1.437 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1) 1.438 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.438 * [taylor]: Taking taylor expansion of 2.0 in n 1.438 * [taylor]: Taking taylor expansion of (* n PI) in n 1.438 * [taylor]: Taking taylor expansion of n in n 1.438 * [taylor]: Taking taylor expansion of PI in n 1.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.438 * [taylor]: Taking taylor expansion of 2.0 in n 1.438 * [taylor]: Taking taylor expansion of (* n PI) in n 1.438 * [taylor]: Taking taylor expansion of n in n 1.438 * [taylor]: Taking taylor expansion of PI in n 1.450 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.450 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.450 * [taylor]: Taking taylor expansion of 2.0 in n 1.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.450 * [taylor]: Taking taylor expansion of 2.0 in n 1.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.460 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.460 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.460 * [taylor]: Taking taylor expansion of -2.0 in n 1.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.460 * [taylor]: Taking taylor expansion of PI in n 1.460 * [taylor]: Taking taylor expansion of n in n 1.460 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.460 * [taylor]: Taking taylor expansion of -2.0 in n 1.460 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.460 * [taylor]: Taking taylor expansion of PI in n 1.460 * [taylor]: Taking taylor expansion of n in n 1.469 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 1.469 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 1.469 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 1.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.469 * [taylor]: Taking taylor expansion of 0.5 in k 1.469 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.469 * [taylor]: Taking taylor expansion of 1.0 in k 1.469 * [taylor]: Taking taylor expansion of k in k 1.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.469 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.469 * [taylor]: Taking taylor expansion of 2.0 in k 1.469 * [taylor]: Taking taylor expansion of (* n PI) in k 1.469 * [taylor]: Taking taylor expansion of n in k 1.469 * [taylor]: Taking taylor expansion of PI in k 1.470 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.470 * [taylor]: Taking taylor expansion of k in k 1.472 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.472 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.472 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.472 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.472 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.472 * [taylor]: Taking taylor expansion of 0.5 in n 1.472 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.472 * [taylor]: Taking taylor expansion of 1.0 in n 1.472 * [taylor]: Taking taylor expansion of k in n 1.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.472 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.472 * [taylor]: Taking taylor expansion of 2.0 in n 1.472 * [taylor]: Taking taylor expansion of (* n PI) in n 1.472 * [taylor]: Taking taylor expansion of n in n 1.472 * [taylor]: Taking taylor expansion of PI in n 1.477 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.478 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.478 * [taylor]: Taking taylor expansion of k in n 1.478 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 1.478 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.478 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.478 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.478 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.478 * [taylor]: Taking taylor expansion of 0.5 in n 1.478 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.478 * [taylor]: Taking taylor expansion of 1.0 in n 1.478 * [taylor]: Taking taylor expansion of k in n 1.478 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.478 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.478 * [taylor]: Taking taylor expansion of 2.0 in n 1.478 * [taylor]: Taking taylor expansion of (* n PI) in n 1.478 * [taylor]: Taking taylor expansion of n in n 1.478 * [taylor]: Taking taylor expansion of PI in n 1.483 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.483 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.483 * [taylor]: Taking taylor expansion of k in n 1.484 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 1.484 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.484 * [taylor]: Taking taylor expansion of k in k 1.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.486 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.486 * [taylor]: Taking taylor expansion of 0.5 in k 1.486 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.486 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.486 * [taylor]: Taking taylor expansion of 1.0 in k 1.486 * [taylor]: Taking taylor expansion of k in k 1.486 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.486 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.486 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.486 * [taylor]: Taking taylor expansion of 2.0 in k 1.486 * [taylor]: Taking taylor expansion of PI in k 1.487 * [taylor]: Taking taylor expansion of (log n) in k 1.487 * [taylor]: Taking taylor expansion of n in k 1.497 * [taylor]: Taking taylor expansion of 0 in k 1.521 * [taylor]: Taking taylor expansion of 0 in k 1.552 * [taylor]: Taking taylor expansion of 0 in k 1.604 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 1.604 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.604 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.604 * [taylor]: Taking taylor expansion of k in k 1.605 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.605 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.605 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.605 * [taylor]: Taking taylor expansion of 0.5 in k 1.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.605 * [taylor]: Taking taylor expansion of k in k 1.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.606 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.606 * [taylor]: Taking taylor expansion of 2.0 in k 1.606 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.606 * [taylor]: Taking taylor expansion of PI in k 1.606 * [taylor]: Taking taylor expansion of n in k 1.607 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.607 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.607 * [taylor]: Taking taylor expansion of k in n 1.607 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.607 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.607 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.607 * [taylor]: Taking taylor expansion of 0.5 in n 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.607 * [taylor]: Taking taylor expansion of 1.0 in n 1.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.607 * [taylor]: Taking taylor expansion of k in n 1.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.607 * [taylor]: Taking taylor expansion of 2.0 in n 1.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.611 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.611 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.611 * [taylor]: Taking taylor expansion of k in n 1.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.611 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.611 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.611 * [taylor]: Taking taylor expansion of 0.5 in n 1.611 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.611 * [taylor]: Taking taylor expansion of 1.0 in n 1.611 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.611 * [taylor]: Taking taylor expansion of k in n 1.611 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.611 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.611 * [taylor]: Taking taylor expansion of 2.0 in n 1.611 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.611 * [taylor]: Taking taylor expansion of PI in n 1.611 * [taylor]: Taking taylor expansion of n in n 1.616 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 1.616 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.616 * [taylor]: Taking taylor expansion of k in k 1.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.617 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.617 * [taylor]: Taking taylor expansion of 0.5 in k 1.617 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.617 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.617 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.617 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.617 * [taylor]: Taking taylor expansion of 2.0 in k 1.617 * [taylor]: Taking taylor expansion of PI in k 1.618 * [taylor]: Taking taylor expansion of (log n) in k 1.618 * [taylor]: Taking taylor expansion of n in k 1.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.618 * [taylor]: Taking taylor expansion of 1.0 in k 1.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.618 * [taylor]: Taking taylor expansion of k in k 1.629 * [taylor]: Taking taylor expansion of 0 in k 1.639 * [taylor]: Taking taylor expansion of 0 in k 1.654 * [taylor]: Taking taylor expansion of 0 in k 1.662 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 1.662 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.662 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.662 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.662 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.662 * [taylor]: Taking taylor expansion of 0.5 in k 1.662 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.662 * [taylor]: Taking taylor expansion of k in k 1.662 * [taylor]: Taking taylor expansion of 1.0 in k 1.662 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.662 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.662 * [taylor]: Taking taylor expansion of -2.0 in k 1.662 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.662 * [taylor]: Taking taylor expansion of PI in k 1.662 * [taylor]: Taking taylor expansion of n in k 1.663 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.663 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.663 * [taylor]: Taking taylor expansion of -1 in k 1.663 * [taylor]: Taking taylor expansion of k in k 1.665 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.665 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.665 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.665 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.665 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.665 * [taylor]: Taking taylor expansion of 0.5 in n 1.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.665 * [taylor]: Taking taylor expansion of k in n 1.665 * [taylor]: Taking taylor expansion of 1.0 in n 1.665 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.665 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.665 * [taylor]: Taking taylor expansion of -2.0 in n 1.665 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.665 * [taylor]: Taking taylor expansion of PI in n 1.665 * [taylor]: Taking taylor expansion of n in n 1.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.669 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.669 * [taylor]: Taking taylor expansion of -1 in n 1.669 * [taylor]: Taking taylor expansion of k in n 1.670 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.670 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.670 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.670 * [taylor]: Taking taylor expansion of 0.5 in n 1.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.670 * [taylor]: Taking taylor expansion of k in n 1.670 * [taylor]: Taking taylor expansion of 1.0 in n 1.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.670 * [taylor]: Taking taylor expansion of -2.0 in n 1.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.670 * [taylor]: Taking taylor expansion of PI in n 1.670 * [taylor]: Taking taylor expansion of n in n 1.679 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.679 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.679 * [taylor]: Taking taylor expansion of -1 in n 1.679 * [taylor]: Taking taylor expansion of k in n 1.680 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 1.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.680 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.680 * [taylor]: Taking taylor expansion of 0.5 in k 1.680 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.680 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.680 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.680 * [taylor]: Taking taylor expansion of k in k 1.680 * [taylor]: Taking taylor expansion of 1.0 in k 1.680 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.681 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.681 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.681 * [taylor]: Taking taylor expansion of -2.0 in k 1.681 * [taylor]: Taking taylor expansion of PI in k 1.681 * [taylor]: Taking taylor expansion of (log n) in k 1.682 * [taylor]: Taking taylor expansion of n in k 1.685 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.685 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.685 * [taylor]: Taking taylor expansion of -1 in k 1.685 * [taylor]: Taking taylor expansion of k in k 1.694 * [taylor]: Taking taylor expansion of 0 in k 1.707 * [taylor]: Taking taylor expansion of 0 in k 1.715 * * * [progress]: simplifying candidates 1.718 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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 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(* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ (pow n (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (fabs (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) k)) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (pow k 2))) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* +nan.0 (pow k 2)) (log n)) (pow (* (* 2.0 PI) n) 0.5) (fma (- (* +nan.0 (pow k 2))) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (fma (* (* +nan.0 k) (log n)) (pow (* (* 2.0 PI) n) 0.5) (fma (- +nan.0) (* (pow (* (* 2.0 PI) n) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2))) (fma (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 k) (fma (- (* +nan.0 (pow k 2))) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.5)) (fma (* (* +nan.0 k) (pow (* (* 2.0 PI) n) 0.5)) (log (* 2.0 PI)) (fma (- +nan.0) (* (* (pow k 2) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) +nan.0)))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 1.793 * * * [progress]: adding candidates to table 2.099 * * [progress]: iteration 3 / 4 2.099 * * * [progress]: picking best candidate 2.119 * * * * [pick]: Picked # 2.119 * * * [progress]: localizing error 2.133 * * * [progress]: generating rewritten candidates 2.133 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.143 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 2.153 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.177 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.235 * * * [progress]: generating series expansions 2.236 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.236 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.237 * [taylor]: Taking taylor expansion of 0.5 in k 2.237 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.237 * [taylor]: Taking taylor expansion of 1.0 in k 2.237 * [taylor]: Taking taylor expansion of k in k 2.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.237 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.237 * [taylor]: Taking taylor expansion of 2.0 in k 2.237 * [taylor]: Taking taylor expansion of (* n PI) in k 2.237 * [taylor]: Taking taylor expansion of n in k 2.237 * [taylor]: Taking taylor expansion of PI in k 2.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.238 * [taylor]: Taking taylor expansion of 0.5 in n 2.238 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.238 * [taylor]: Taking taylor expansion of 1.0 in n 2.238 * [taylor]: Taking taylor expansion of k in n 2.238 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.238 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.238 * [taylor]: Taking taylor expansion of 2.0 in n 2.238 * [taylor]: Taking taylor expansion of (* n PI) in n 2.238 * [taylor]: Taking taylor expansion of n in n 2.238 * [taylor]: Taking taylor expansion of PI in n 2.244 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.244 * [taylor]: Taking taylor expansion of 0.5 in n 2.244 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.244 * [taylor]: Taking taylor expansion of 1.0 in n 2.244 * [taylor]: Taking taylor expansion of k in n 2.244 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.244 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.244 * [taylor]: Taking taylor expansion of 2.0 in n 2.244 * [taylor]: Taking taylor expansion of (* n PI) in n 2.244 * [taylor]: Taking taylor expansion of n in n 2.244 * [taylor]: Taking taylor expansion of PI in n 2.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.249 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.249 * [taylor]: Taking taylor expansion of 0.5 in k 2.249 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.249 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.250 * [taylor]: Taking taylor expansion of 1.0 in k 2.250 * [taylor]: Taking taylor expansion of k in k 2.250 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.250 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.250 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.250 * [taylor]: Taking taylor expansion of 2.0 in k 2.250 * [taylor]: Taking taylor expansion of PI in k 2.251 * [taylor]: Taking taylor expansion of (log n) in k 2.251 * [taylor]: Taking taylor expansion of n in k 2.260 * [taylor]: Taking taylor expansion of 0 in k 2.276 * [taylor]: Taking taylor expansion of 0 in k 2.441 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.441 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.441 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.441 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.441 * [taylor]: Taking taylor expansion of 0.5 in k 2.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.441 * [taylor]: Taking taylor expansion of 1.0 in k 2.441 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.441 * [taylor]: Taking taylor expansion of k in k 2.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.442 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.442 * [taylor]: Taking taylor expansion of 2.0 in k 2.442 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.442 * [taylor]: Taking taylor expansion of PI in k 2.442 * [taylor]: Taking taylor expansion of n in k 2.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.443 * [taylor]: Taking taylor expansion of 0.5 in n 2.443 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.443 * [taylor]: Taking taylor expansion of 1.0 in n 2.443 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.443 * [taylor]: Taking taylor expansion of k in n 2.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.443 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.443 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.447 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.447 * [taylor]: Taking taylor expansion of 0.5 in n 2.447 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.447 * [taylor]: Taking taylor expansion of 1.0 in n 2.447 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.447 * [taylor]: Taking taylor expansion of k in n 2.447 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.447 * [taylor]: Taking taylor expansion of 2.0 in n 2.447 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.447 * [taylor]: Taking taylor expansion of PI in n 2.447 * [taylor]: Taking taylor expansion of n in n 2.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.451 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.451 * [taylor]: Taking taylor expansion of 0.5 in k 2.451 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.451 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.451 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.451 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.451 * [taylor]: Taking taylor expansion of 2.0 in k 2.451 * [taylor]: Taking taylor expansion of PI in k 2.452 * [taylor]: Taking taylor expansion of (log n) in k 2.452 * [taylor]: Taking taylor expansion of n in k 2.452 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.452 * [taylor]: Taking taylor expansion of 1.0 in k 2.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.453 * [taylor]: Taking taylor expansion of k in k 2.462 * [taylor]: Taking taylor expansion of 0 in k 2.470 * [taylor]: Taking taylor expansion of 0 in k 2.479 * [taylor]: Taking taylor expansion of 0 in k 2.480 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.480 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.480 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.480 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.480 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.480 * [taylor]: Taking taylor expansion of 0.5 in k 2.480 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.480 * [taylor]: Taking taylor expansion of k in k 2.480 * [taylor]: Taking taylor expansion of 1.0 in k 2.481 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.481 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.481 * [taylor]: Taking taylor expansion of -2.0 in k 2.481 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.481 * [taylor]: Taking taylor expansion of PI in k 2.481 * [taylor]: Taking taylor expansion of n in k 2.481 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.482 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.482 * [taylor]: Taking taylor expansion of 0.5 in n 2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.482 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.482 * [taylor]: Taking taylor expansion of k in n 2.482 * [taylor]: Taking taylor expansion of 1.0 in n 2.482 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.482 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.482 * [taylor]: Taking taylor expansion of -2.0 in n 2.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.482 * [taylor]: Taking taylor expansion of PI in n 2.482 * [taylor]: Taking taylor expansion of n in n 2.486 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.486 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.486 * [taylor]: Taking taylor expansion of 0.5 in n 2.486 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.486 * [taylor]: Taking taylor expansion of k in n 2.486 * [taylor]: Taking taylor expansion of 1.0 in n 2.486 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.486 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.486 * [taylor]: Taking taylor expansion of -2.0 in n 2.486 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.486 * [taylor]: Taking taylor expansion of PI in n 2.486 * [taylor]: Taking taylor expansion of n in n 2.490 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.490 * [taylor]: Taking taylor expansion of 0.5 in k 2.490 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.490 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.490 * [taylor]: Taking taylor expansion of k in k 2.490 * [taylor]: Taking taylor expansion of 1.0 in k 2.490 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.490 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.490 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.490 * [taylor]: Taking taylor expansion of -2.0 in k 2.490 * [taylor]: Taking taylor expansion of PI in k 2.491 * [taylor]: Taking taylor expansion of (log n) in k 2.491 * [taylor]: Taking taylor expansion of n in k 2.500 * [taylor]: Taking taylor expansion of 0 in k 2.507 * [taylor]: Taking taylor expansion of 0 in k 2.521 * [taylor]: Taking taylor expansion of 0 in k 2.522 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 2.522 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.522 * [taylor]: Taking taylor expansion of 2.0 in n 2.522 * [taylor]: Taking taylor expansion of (* n PI) in n 2.522 * [taylor]: Taking taylor expansion of n in n 2.522 * [taylor]: Taking taylor expansion of PI in n 2.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.522 * [taylor]: Taking taylor expansion of 2.0 in n 2.522 * [taylor]: Taking taylor expansion of (* n PI) in n 2.522 * [taylor]: Taking taylor expansion of n in n 2.522 * [taylor]: Taking taylor expansion of PI in n 2.535 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.535 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.535 * [taylor]: Taking taylor expansion of 2.0 in n 2.535 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.535 * [taylor]: Taking taylor expansion of PI in n 2.535 * [taylor]: Taking taylor expansion of n in n 2.536 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.536 * [taylor]: Taking taylor expansion of 2.0 in n 2.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.536 * [taylor]: Taking taylor expansion of PI in n 2.536 * [taylor]: Taking taylor expansion of n in n 2.545 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.545 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.545 * [taylor]: Taking taylor expansion of -2.0 in n 2.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.545 * [taylor]: Taking taylor expansion of PI in n 2.545 * [taylor]: Taking taylor expansion of n in n 2.545 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.545 * [taylor]: Taking taylor expansion of -2.0 in n 2.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.545 * [taylor]: Taking taylor expansion of PI in n 2.545 * [taylor]: Taking taylor expansion of n in n 2.554 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.554 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 2.554 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 2.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.555 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.555 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.555 * [taylor]: Taking taylor expansion of 0.5 in k 2.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.555 * [taylor]: Taking taylor expansion of 1.0 in k 2.555 * [taylor]: Taking taylor expansion of k in k 2.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.555 * [taylor]: Taking taylor expansion of 2.0 in k 2.555 * [taylor]: Taking taylor expansion of (* n PI) in k 2.555 * [taylor]: Taking taylor expansion of n in k 2.555 * [taylor]: Taking taylor expansion of PI in k 2.556 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.556 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.556 * [taylor]: Taking taylor expansion of k in k 2.557 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 2.557 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.557 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.557 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.557 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.557 * [taylor]: Taking taylor expansion of 0.5 in n 2.557 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.557 * [taylor]: Taking taylor expansion of 1.0 in n 2.557 * [taylor]: Taking taylor expansion of k in n 2.557 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.557 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.557 * [taylor]: Taking taylor expansion of 2.0 in n 2.557 * [taylor]: Taking taylor expansion of (* n PI) in n 2.557 * [taylor]: Taking taylor expansion of n in n 2.557 * [taylor]: Taking taylor expansion of PI in n 2.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.563 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.563 * [taylor]: Taking taylor expansion of k in n 2.563 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 2.563 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.563 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.563 * [taylor]: Taking taylor expansion of 0.5 in n 2.563 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.563 * [taylor]: Taking taylor expansion of 1.0 in n 2.563 * [taylor]: Taking taylor expansion of k in n 2.563 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.563 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.563 * [taylor]: Taking taylor expansion of 2.0 in n 2.563 * [taylor]: Taking taylor expansion of (* n PI) in n 2.563 * [taylor]: Taking taylor expansion of n in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.569 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.569 * [taylor]: Taking taylor expansion of k in n 2.570 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 2.570 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.570 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.570 * [taylor]: Taking taylor expansion of k in k 2.571 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.571 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.571 * [taylor]: Taking taylor expansion of 0.5 in k 2.571 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.571 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.571 * [taylor]: Taking taylor expansion of 1.0 in k 2.571 * [taylor]: Taking taylor expansion of k in k 2.571 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.571 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.571 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.571 * [taylor]: Taking taylor expansion of 2.0 in k 2.571 * [taylor]: Taking taylor expansion of PI in k 2.572 * [taylor]: Taking taylor expansion of (log n) in k 2.572 * [taylor]: Taking taylor expansion of n in k 2.583 * [taylor]: Taking taylor expansion of 0 in k 2.605 * [taylor]: Taking taylor expansion of 0 in k 2.636 * [taylor]: Taking taylor expansion of 0 in k 2.687 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 2.687 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.687 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.687 * [taylor]: Taking taylor expansion of k in k 2.688 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.688 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.688 * [taylor]: Taking taylor expansion of 0.5 in k 2.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.688 * [taylor]: Taking taylor expansion of 1.0 in k 2.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.688 * [taylor]: Taking taylor expansion of k in k 2.688 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.688 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.688 * [taylor]: Taking taylor expansion of 2.0 in k 2.688 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.688 * [taylor]: Taking taylor expansion of PI in k 2.688 * [taylor]: Taking taylor expansion of n in k 2.689 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.689 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.689 * [taylor]: Taking taylor expansion of k in n 2.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.690 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.690 * [taylor]: Taking taylor expansion of 0.5 in n 2.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.690 * [taylor]: Taking taylor expansion of 1.0 in n 2.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.690 * [taylor]: Taking taylor expansion of k in n 2.690 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.690 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.690 * [taylor]: Taking taylor expansion of 2.0 in n 2.690 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.690 * [taylor]: Taking taylor expansion of PI in n 2.690 * [taylor]: Taking taylor expansion of n in n 2.694 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.694 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.694 * [taylor]: Taking taylor expansion of k in n 2.694 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.694 * [taylor]: Taking taylor expansion of 0.5 in n 2.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.694 * [taylor]: Taking taylor expansion of 1.0 in n 2.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.694 * [taylor]: Taking taylor expansion of k in n 2.694 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.694 * [taylor]: Taking taylor expansion of 2.0 in n 2.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.694 * [taylor]: Taking taylor expansion of PI in n 2.694 * [taylor]: Taking taylor expansion of n in n 2.699 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 2.699 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.699 * [taylor]: Taking taylor expansion of k in k 2.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.700 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.700 * [taylor]: Taking taylor expansion of 0.5 in k 2.700 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.700 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.700 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.700 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.700 * [taylor]: Taking taylor expansion of 2.0 in k 2.700 * [taylor]: Taking taylor expansion of PI in k 2.701 * [taylor]: Taking taylor expansion of (log n) in k 2.701 * [taylor]: Taking taylor expansion of n in k 2.701 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.701 * [taylor]: Taking taylor expansion of 1.0 in k 2.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.701 * [taylor]: Taking taylor expansion of k in k 2.711 * [taylor]: Taking taylor expansion of 0 in k 2.722 * [taylor]: Taking taylor expansion of 0 in k 2.736 * [taylor]: Taking taylor expansion of 0 in k 2.744 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 2.744 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.744 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.744 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.744 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.744 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.744 * [taylor]: Taking taylor expansion of 0.5 in k 2.745 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.745 * [taylor]: Taking taylor expansion of k in k 2.745 * [taylor]: Taking taylor expansion of 1.0 in k 2.745 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.745 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.745 * [taylor]: Taking taylor expansion of -2.0 in k 2.745 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.745 * [taylor]: Taking taylor expansion of PI in k 2.745 * [taylor]: Taking taylor expansion of n in k 2.746 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.746 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.746 * [taylor]: Taking taylor expansion of -1 in k 2.746 * [taylor]: Taking taylor expansion of k in k 2.747 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.747 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.747 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.747 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.747 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.747 * [taylor]: Taking taylor expansion of 0.5 in n 2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.747 * [taylor]: Taking taylor expansion of k in n 2.748 * [taylor]: Taking taylor expansion of 1.0 in n 2.748 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.748 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.748 * [taylor]: Taking taylor expansion of -2.0 in n 2.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.748 * [taylor]: Taking taylor expansion of PI in n 2.748 * [taylor]: Taking taylor expansion of n in n 2.751 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.751 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.751 * [taylor]: Taking taylor expansion of -1 in n 2.751 * [taylor]: Taking taylor expansion of k in n 2.752 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.752 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.752 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.752 * [taylor]: Taking taylor expansion of 0.5 in n 2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.753 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.753 * [taylor]: Taking taylor expansion of k in n 2.753 * [taylor]: Taking taylor expansion of 1.0 in n 2.753 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.753 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.753 * [taylor]: Taking taylor expansion of -2.0 in n 2.753 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.753 * [taylor]: Taking taylor expansion of PI in n 2.753 * [taylor]: Taking taylor expansion of n in n 2.756 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.756 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.756 * [taylor]: Taking taylor expansion of -1 in n 2.756 * [taylor]: Taking taylor expansion of k in n 2.757 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 2.757 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.757 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.757 * [taylor]: Taking taylor expansion of 0.5 in k 2.757 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.757 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.757 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.757 * [taylor]: Taking taylor expansion of k in k 2.758 * [taylor]: Taking taylor expansion of 1.0 in k 2.758 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.758 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.758 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.758 * [taylor]: Taking taylor expansion of -2.0 in k 2.758 * [taylor]: Taking taylor expansion of PI in k 2.759 * [taylor]: Taking taylor expansion of (log n) in k 2.759 * [taylor]: Taking taylor expansion of n in k 2.762 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.762 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.762 * [taylor]: Taking taylor expansion of -1 in k 2.762 * [taylor]: Taking taylor expansion of k in k 2.774 * [taylor]: Taking taylor expansion of 0 in k 2.787 * [taylor]: Taking taylor expansion of 0 in k 2.796 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.796 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (/ 1 k) 1/4)) in (n k) around 0 2.796 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (/ 1 k) 1/4)) in k 2.796 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.796 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.796 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.796 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.796 * [taylor]: Taking taylor expansion of 0.5 in k 2.796 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.796 * [taylor]: Taking taylor expansion of 1.0 in k 2.796 * [taylor]: Taking taylor expansion of k in k 2.796 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.796 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.796 * [taylor]: Taking taylor expansion of 2.0 in k 2.796 * [taylor]: Taking taylor expansion of (* n PI) in k 2.796 * [taylor]: Taking taylor expansion of n in k 2.796 * [taylor]: Taking taylor expansion of PI in k 2.797 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.797 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.797 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.797 * [taylor]: Taking taylor expansion of 1/4 in k 2.797 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.797 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.797 * [taylor]: Taking taylor expansion of k in k 2.798 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (/ 1 k) 1/4)) in n 2.798 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.798 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.798 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.798 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.798 * [taylor]: Taking taylor expansion of 0.5 in n 2.798 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.798 * [taylor]: Taking taylor expansion of 1.0 in n 2.798 * [taylor]: Taking taylor expansion of k in n 2.798 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.798 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.798 * [taylor]: Taking taylor expansion of 2.0 in n 2.798 * [taylor]: Taking taylor expansion of (* n PI) in n 2.798 * [taylor]: Taking taylor expansion of n in n 2.798 * [taylor]: Taking taylor expansion of PI in n 2.804 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 2.804 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 2.804 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 2.804 * [taylor]: Taking taylor expansion of 1/4 in n 2.804 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 2.804 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.804 * [taylor]: Taking taylor expansion of k in n 2.804 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (/ 1 k) 1/4)) in n 2.804 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.804 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.804 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.804 * [taylor]: Taking taylor expansion of 0.5 in n 2.804 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.804 * [taylor]: Taking taylor expansion of 1.0 in n 2.804 * [taylor]: Taking taylor expansion of k in n 2.804 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.804 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.804 * [taylor]: Taking taylor expansion of 2.0 in n 2.804 * [taylor]: Taking taylor expansion of (* n PI) in n 2.804 * [taylor]: Taking taylor expansion of n in n 2.804 * [taylor]: Taking taylor expansion of PI in n 2.810 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 2.810 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 2.810 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 2.810 * [taylor]: Taking taylor expansion of 1/4 in n 2.810 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 2.810 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.810 * [taylor]: Taking taylor expansion of k in n 2.811 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 2.811 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 2.811 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 2.811 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 2.811 * [taylor]: Taking taylor expansion of 1/4 in k 2.811 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 2.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.811 * [taylor]: Taking taylor expansion of k in k 2.812 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.812 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.812 * [taylor]: Taking taylor expansion of 0.5 in k 2.812 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.812 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.812 * [taylor]: Taking taylor expansion of 1.0 in k 2.812 * [taylor]: Taking taylor expansion of k in k 2.812 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.812 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.812 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.812 * [taylor]: Taking taylor expansion of 2.0 in k 2.812 * [taylor]: Taking taylor expansion of PI in k 2.813 * [taylor]: Taking taylor expansion of (log n) in k 2.813 * [taylor]: Taking taylor expansion of n in k 2.825 * [taylor]: Taking taylor expansion of 0 in k 2.850 * [taylor]: Taking taylor expansion of 0 in k 2.885 * [approximate]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 2.885 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.885 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 2.885 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 2.885 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 2.885 * [taylor]: Taking taylor expansion of 1/4 in k 2.885 * [taylor]: Taking taylor expansion of (log k) in k 2.885 * [taylor]: Taking taylor expansion of k in k 2.886 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.886 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.886 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.886 * [taylor]: Taking taylor expansion of 0.5 in k 2.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.886 * [taylor]: Taking taylor expansion of 1.0 in k 2.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.886 * [taylor]: Taking taylor expansion of k in k 2.886 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.886 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.886 * [taylor]: Taking taylor expansion of 2.0 in k 2.886 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.886 * [taylor]: Taking taylor expansion of PI in k 2.886 * [taylor]: Taking taylor expansion of n in k 2.887 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.887 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 2.887 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 2.887 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 2.887 * [taylor]: Taking taylor expansion of 1/4 in n 2.887 * [taylor]: Taking taylor expansion of (log k) in n 2.887 * [taylor]: Taking taylor expansion of k in n 2.888 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.888 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.888 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.888 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.888 * [taylor]: Taking taylor expansion of 0.5 in n 2.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.888 * [taylor]: Taking taylor expansion of 1.0 in n 2.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.888 * [taylor]: Taking taylor expansion of k in n 2.888 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.888 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.888 * [taylor]: Taking taylor expansion of 2.0 in n 2.888 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.888 * [taylor]: Taking taylor expansion of PI in n 2.888 * [taylor]: Taking taylor expansion of n in n 2.892 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.892 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 2.892 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 2.892 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 2.892 * [taylor]: Taking taylor expansion of 1/4 in n 2.892 * [taylor]: Taking taylor expansion of (log k) in n 2.892 * [taylor]: Taking taylor expansion of k in n 2.892 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.892 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.892 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.892 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.892 * [taylor]: Taking taylor expansion of 0.5 in n 2.892 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.892 * [taylor]: Taking taylor expansion of 1.0 in n 2.892 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.892 * [taylor]: Taking taylor expansion of k in n 2.892 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.892 * [taylor]: Taking taylor expansion of 2.0 in n 2.892 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.892 * [taylor]: Taking taylor expansion of PI in n 2.892 * [taylor]: Taking taylor expansion of n in n 2.897 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 2.897 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 2.897 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 2.897 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 2.897 * [taylor]: Taking taylor expansion of 1/4 in k 2.897 * [taylor]: Taking taylor expansion of (log k) in k 2.897 * [taylor]: Taking taylor expansion of k in k 2.897 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.897 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.897 * [taylor]: Taking taylor expansion of 0.5 in k 2.898 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.898 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.898 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.898 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.898 * [taylor]: Taking taylor expansion of 2.0 in k 2.898 * [taylor]: Taking taylor expansion of PI in k 2.899 * [taylor]: Taking taylor expansion of (log n) in k 2.899 * [taylor]: Taking taylor expansion of n in k 2.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.899 * [taylor]: Taking taylor expansion of 1.0 in k 2.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.899 * [taylor]: Taking taylor expansion of k in k 2.911 * [taylor]: Taking taylor expansion of 0 in k 2.924 * [taylor]: Taking taylor expansion of 0 in k 2.946 * [taylor]: Taking taylor expansion of 0 in k 2.947 * [approximate]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in (n k) around 0 2.947 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 2.947 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.947 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.947 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.947 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.947 * [taylor]: Taking taylor expansion of 0.5 in k 2.947 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.947 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.947 * [taylor]: Taking taylor expansion of k in k 2.947 * [taylor]: Taking taylor expansion of 1.0 in k 2.948 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.948 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.948 * [taylor]: Taking taylor expansion of -2.0 in k 2.948 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.948 * [taylor]: Taking taylor expansion of PI in k 2.948 * [taylor]: Taking taylor expansion of n in k 2.948 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 2.948 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.948 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.948 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.948 * [taylor]: Taking taylor expansion of -1 in k 2.948 * [taylor]: Taking taylor expansion of k in k 2.955 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in n 2.955 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.955 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.955 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.955 * [taylor]: Taking taylor expansion of 0.5 in n 2.955 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.955 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.955 * [taylor]: Taking taylor expansion of k in n 2.955 * [taylor]: Taking taylor expansion of 1.0 in n 2.955 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.955 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.955 * [taylor]: Taking taylor expansion of -2.0 in n 2.955 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.955 * [taylor]: Taking taylor expansion of PI in n 2.955 * [taylor]: Taking taylor expansion of n in n 2.959 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 2.959 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 2.959 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.959 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.959 * [taylor]: Taking taylor expansion of -1 in n 2.959 * [taylor]: Taking taylor expansion of k in n 2.959 * [taylor]: Taking taylor expansion of (* (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ 1 (sqrt (/ -1 k))))) in n 2.959 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.959 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.959 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.959 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.959 * [taylor]: Taking taylor expansion of 0.5 in n 2.959 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.959 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.959 * [taylor]: Taking taylor expansion of k in n 2.959 * [taylor]: Taking taylor expansion of 1.0 in n 2.959 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.959 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.959 * [taylor]: Taking taylor expansion of -2.0 in n 2.959 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.959 * [taylor]: Taking taylor expansion of PI in n 2.959 * [taylor]: Taking taylor expansion of n in n 2.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 2.963 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 2.963 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.963 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.963 * [taylor]: Taking taylor expansion of -1 in n 2.963 * [taylor]: Taking taylor expansion of k in n 2.964 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ 1 (sqrt (/ -1 k))))) in k 2.964 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.964 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.964 * [taylor]: Taking taylor expansion of 0.5 in k 2.965 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.965 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.965 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.965 * [taylor]: Taking taylor expansion of k in k 2.965 * [taylor]: Taking taylor expansion of 1.0 in k 2.965 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.965 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.965 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.965 * [taylor]: Taking taylor expansion of -2.0 in k 2.965 * [taylor]: Taking taylor expansion of PI in k 2.966 * [taylor]: Taking taylor expansion of (log n) in k 2.966 * [taylor]: Taking taylor expansion of n in k 2.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 2.969 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 2.969 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.969 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.969 * [taylor]: Taking taylor expansion of -1 in k 2.969 * [taylor]: Taking taylor expansion of k in k 2.983 * [taylor]: Taking taylor expansion of 0 in k 2.995 * [taylor]: Taking taylor expansion of 0 in k 3.016 * * * [progress]: simplifying candidates 3.033 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) 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n))) (- 1.0 k)))) (pow k 3)))) (fma +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) (+ (fma (* 0.25 (pow (pow k 7) 1/4)) (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (* (* (* (pow (pow k 7) 1/4) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.125)) (- (fma (* 0.125 (pow (pow k 7) 1/4)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (/ 1 k) 1/4))) (* (* 0.5 (pow (pow k 3) 1/4)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))))) (* (pow (/ 1 k) 1/4) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (+ (- (* (sqrt +nan.0) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (sqrt +nan.0) (pow k 2))))) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (sqrt +nan.0) k)) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))))) 3.164 * * * [progress]: adding candidates to table 4.185 * * [progress]: iteration 4 / 4 4.185 * * * [progress]: picking best candidate 4.210 * * * * [pick]: Picked # 4.210 * * * [progress]: localizing error 4.223 * * * [progress]: generating rewritten candidates 4.223 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 4.233 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 4.240 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 4.245 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 4.276 * * * [progress]: generating series expansions 4.276 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 4.277 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.277 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.277 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.277 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.277 * [taylor]: Taking taylor expansion of 0.5 in k 4.277 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.277 * [taylor]: Taking taylor expansion of 1.0 in k 4.277 * [taylor]: Taking taylor expansion of k in k 4.277 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.277 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.277 * [taylor]: Taking taylor expansion of 2.0 in k 4.277 * [taylor]: Taking taylor expansion of (* n PI) in k 4.277 * [taylor]: Taking taylor expansion of n in k 4.277 * [taylor]: Taking taylor expansion of PI in k 4.278 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.278 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.278 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.278 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.278 * [taylor]: Taking taylor expansion of 0.5 in n 4.278 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.278 * [taylor]: Taking taylor expansion of 1.0 in n 4.278 * [taylor]: Taking taylor expansion of k in n 4.278 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.278 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.279 * [taylor]: Taking taylor expansion of 2.0 in n 4.279 * [taylor]: Taking taylor expansion of (* n PI) in n 4.279 * [taylor]: Taking taylor expansion of n in n 4.279 * [taylor]: Taking taylor expansion of PI in n 4.284 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.284 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.284 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.284 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.284 * [taylor]: Taking taylor expansion of 0.5 in n 4.284 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.284 * [taylor]: Taking taylor expansion of 1.0 in n 4.284 * [taylor]: Taking taylor expansion of k in n 4.284 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.284 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.284 * [taylor]: Taking taylor expansion of 2.0 in n 4.284 * [taylor]: Taking taylor expansion of (* n PI) in n 4.284 * [taylor]: Taking taylor expansion of n in n 4.284 * [taylor]: Taking taylor expansion of PI in n 4.290 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.290 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.290 * [taylor]: Taking taylor expansion of 0.5 in k 4.290 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.290 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.290 * [taylor]: Taking taylor expansion of 1.0 in k 4.290 * [taylor]: Taking taylor expansion of k in k 4.290 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.290 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.290 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.290 * [taylor]: Taking taylor expansion of 2.0 in k 4.290 * [taylor]: Taking taylor expansion of PI in k 4.291 * [taylor]: Taking taylor expansion of (log n) in k 4.291 * [taylor]: Taking taylor expansion of n in k 4.300 * [taylor]: Taking taylor expansion of 0 in k 4.316 * [taylor]: Taking taylor expansion of 0 in k 4.341 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.341 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.341 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.341 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.341 * [taylor]: Taking taylor expansion of 0.5 in k 4.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.341 * [taylor]: Taking taylor expansion of 1.0 in k 4.341 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.341 * [taylor]: Taking taylor expansion of k in k 4.341 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.341 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.342 * [taylor]: Taking taylor expansion of 2.0 in k 4.342 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.342 * [taylor]: Taking taylor expansion of PI in k 4.342 * [taylor]: Taking taylor expansion of n in k 4.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.343 * [taylor]: Taking taylor expansion of 0.5 in n 4.343 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.343 * [taylor]: Taking taylor expansion of 1.0 in n 4.343 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.343 * [taylor]: Taking taylor expansion of k in n 4.343 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.343 * [taylor]: Taking taylor expansion of 2.0 in n 4.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.343 * [taylor]: Taking taylor expansion of PI in n 4.343 * [taylor]: Taking taylor expansion of n in n 4.347 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.347 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.347 * [taylor]: Taking taylor expansion of 0.5 in n 4.347 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.347 * [taylor]: Taking taylor expansion of 1.0 in n 4.347 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.347 * [taylor]: Taking taylor expansion of k in n 4.347 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.347 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.347 * [taylor]: Taking taylor expansion of 2.0 in n 4.347 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.347 * [taylor]: Taking taylor expansion of PI in n 4.347 * [taylor]: Taking taylor expansion of n in n 4.351 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.351 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.351 * [taylor]: Taking taylor expansion of 0.5 in k 4.351 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.351 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.351 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.351 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.351 * [taylor]: Taking taylor expansion of 2.0 in k 4.351 * [taylor]: Taking taylor expansion of PI in k 4.352 * [taylor]: Taking taylor expansion of (log n) in k 4.352 * [taylor]: Taking taylor expansion of n in k 4.352 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.352 * [taylor]: Taking taylor expansion of 1.0 in k 4.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.352 * [taylor]: Taking taylor expansion of k in k 4.362 * [taylor]: Taking taylor expansion of 0 in k 4.369 * [taylor]: Taking taylor expansion of 0 in k 4.378 * [taylor]: Taking taylor expansion of 0 in k 4.379 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.379 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.379 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.379 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.379 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.379 * [taylor]: Taking taylor expansion of 0.5 in k 4.379 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.379 * [taylor]: Taking taylor expansion of k in k 4.380 * [taylor]: Taking taylor expansion of 1.0 in k 4.380 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.380 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.380 * [taylor]: Taking taylor expansion of -2.0 in k 4.380 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.380 * [taylor]: Taking taylor expansion of PI in k 4.380 * [taylor]: Taking taylor expansion of n in k 4.381 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.381 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.381 * [taylor]: Taking taylor expansion of 0.5 in n 4.381 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.381 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.381 * [taylor]: Taking taylor expansion of k in n 4.381 * [taylor]: Taking taylor expansion of 1.0 in n 4.381 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.381 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.381 * [taylor]: Taking taylor expansion of -2.0 in n 4.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.381 * [taylor]: Taking taylor expansion of PI in n 4.381 * [taylor]: Taking taylor expansion of n in n 4.385 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.385 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.385 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.385 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.385 * [taylor]: Taking taylor expansion of 0.5 in n 4.385 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.385 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.385 * [taylor]: Taking taylor expansion of k in n 4.385 * [taylor]: Taking taylor expansion of 1.0 in n 4.385 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.385 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.385 * [taylor]: Taking taylor expansion of -2.0 in n 4.385 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.385 * [taylor]: Taking taylor expansion of PI in n 4.385 * [taylor]: Taking taylor expansion of n in n 4.389 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.389 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.389 * [taylor]: Taking taylor expansion of 0.5 in k 4.389 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.389 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.389 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.389 * [taylor]: Taking taylor expansion of k in k 4.389 * [taylor]: Taking taylor expansion of 1.0 in k 4.389 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.389 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.389 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.389 * [taylor]: Taking taylor expansion of -2.0 in k 4.389 * [taylor]: Taking taylor expansion of PI in k 4.390 * [taylor]: Taking taylor expansion of (log n) in k 4.390 * [taylor]: Taking taylor expansion of n in k 4.399 * [taylor]: Taking taylor expansion of 0 in k 4.406 * [taylor]: Taking taylor expansion of 0 in k 4.415 * [taylor]: Taking taylor expansion of 0 in k 4.416 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 4.416 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.416 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.416 * [taylor]: Taking taylor expansion of 2.0 in n 4.416 * [taylor]: Taking taylor expansion of (* n PI) in n 4.416 * [taylor]: Taking taylor expansion of n in n 4.416 * [taylor]: Taking taylor expansion of PI in n 4.421 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.421 * [taylor]: Taking taylor expansion of 2.0 in n 4.421 * [taylor]: Taking taylor expansion of (* n PI) in n 4.421 * [taylor]: Taking taylor expansion of n in n 4.421 * [taylor]: Taking taylor expansion of PI in n 4.433 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.433 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.434 * [taylor]: Taking taylor expansion of 2.0 in n 4.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.434 * [taylor]: Taking taylor expansion of PI in n 4.434 * [taylor]: Taking taylor expansion of n in n 4.434 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.434 * [taylor]: Taking taylor expansion of 2.0 in n 4.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.434 * [taylor]: Taking taylor expansion of PI in n 4.434 * [taylor]: Taking taylor expansion of n in n 4.443 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.443 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.443 * [taylor]: Taking taylor expansion of -2.0 in n 4.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.443 * [taylor]: Taking taylor expansion of PI in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.443 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.443 * [taylor]: Taking taylor expansion of -2.0 in n 4.443 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.443 * [taylor]: Taking taylor expansion of PI in n 4.443 * [taylor]: Taking taylor expansion of n in n 4.452 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 4.452 * [approximate]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 4.453 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.453 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.453 * [taylor]: Taking taylor expansion of k in n 4.453 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.453 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.453 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.453 * [taylor]: Taking taylor expansion of 0.5 in n 4.453 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.453 * [taylor]: Taking taylor expansion of 1.0 in n 4.453 * [taylor]: Taking taylor expansion of k in n 4.453 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.453 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.453 * [taylor]: Taking taylor expansion of 2.0 in n 4.453 * [taylor]: Taking taylor expansion of (* n PI) in n 4.453 * [taylor]: Taking taylor expansion of n in n 4.453 * [taylor]: Taking taylor expansion of PI in n 4.459 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.459 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.459 * [taylor]: Taking taylor expansion of k in k 4.460 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.460 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.460 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.460 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.460 * [taylor]: Taking taylor expansion of 0.5 in k 4.460 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.460 * [taylor]: Taking taylor expansion of 1.0 in k 4.460 * [taylor]: Taking taylor expansion of k in k 4.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.460 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.460 * [taylor]: Taking taylor expansion of 2.0 in k 4.460 * [taylor]: Taking taylor expansion of (* n PI) in k 4.460 * [taylor]: Taking taylor expansion of n in k 4.460 * [taylor]: Taking taylor expansion of PI in k 4.462 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.462 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.462 * [taylor]: Taking taylor expansion of k in k 4.463 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.463 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.463 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.463 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.463 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.463 * [taylor]: Taking taylor expansion of 0.5 in k 4.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.463 * [taylor]: Taking taylor expansion of 1.0 in k 4.463 * [taylor]: Taking taylor expansion of k in k 4.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.463 * [taylor]: Taking taylor expansion of 2.0 in k 4.463 * [taylor]: Taking taylor expansion of (* n PI) in k 4.463 * [taylor]: Taking taylor expansion of n in k 4.463 * [taylor]: Taking taylor expansion of PI in k 4.465 * [taylor]: Taking taylor expansion of 0 in n 4.472 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 4.472 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 4.472 * [taylor]: Taking taylor expansion of +nan.0 in n 4.472 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 4.472 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 4.472 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.472 * [taylor]: Taking taylor expansion of 0.5 in n 4.472 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.472 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.472 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.472 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.472 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.472 * [taylor]: Taking taylor expansion of 1.0 in n 4.472 * [taylor]: Taking taylor expansion of (log PI) in n 4.472 * [taylor]: Taking taylor expansion of PI in n 4.474 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.474 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.474 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.474 * [taylor]: Taking taylor expansion of 1.0 in n 4.474 * [taylor]: Taking taylor expansion of (log n) in n 4.474 * [taylor]: Taking taylor expansion of n in n 4.475 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.475 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.475 * [taylor]: Taking taylor expansion of 1.0 in n 4.475 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.475 * [taylor]: Taking taylor expansion of 2.0 in n 4.497 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 4.497 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 4.497 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 4.498 * [taylor]: Taking taylor expansion of +nan.0 in n 4.498 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 4.498 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 4.498 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.498 * [taylor]: Taking taylor expansion of 0.5 in n 4.498 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.498 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.498 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.498 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.498 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.498 * [taylor]: Taking taylor expansion of 1.0 in n 4.498 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.498 * [taylor]: Taking taylor expansion of 2.0 in n 4.500 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.500 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.500 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.500 * [taylor]: Taking taylor expansion of 1.0 in n 4.500 * [taylor]: Taking taylor expansion of (log n) in n 4.500 * [taylor]: Taking taylor expansion of n in n 4.500 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.500 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.500 * [taylor]: Taking taylor expansion of 1.0 in n 4.500 * [taylor]: Taking taylor expansion of (log PI) in n 4.500 * [taylor]: Taking taylor expansion of PI in n 4.512 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 4.512 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 4.512 * [taylor]: Taking taylor expansion of +nan.0 in n 4.512 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 4.512 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.512 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.512 * [taylor]: Taking taylor expansion of 2.0 in n 4.512 * [taylor]: Taking taylor expansion of (* n PI) in n 4.512 * [taylor]: Taking taylor expansion of n in n 4.512 * [taylor]: Taking taylor expansion of PI in n 4.516 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 4.516 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 4.516 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.516 * [taylor]: Taking taylor expansion of 0.5 in n 4.516 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.516 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.516 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.516 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.516 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.516 * [taylor]: Taking taylor expansion of 1.0 in n 4.516 * [taylor]: Taking taylor expansion of (log PI) in n 4.516 * [taylor]: Taking taylor expansion of PI in n 4.518 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.518 * [taylor]: Taking taylor expansion of 1.0 in n 4.518 * [taylor]: Taking taylor expansion of (log n) in n 4.518 * [taylor]: Taking taylor expansion of n in n 4.519 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.519 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.519 * [taylor]: Taking taylor expansion of 1.0 in n 4.519 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.519 * [taylor]: Taking taylor expansion of 2.0 in n 4.577 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))))) in n 4.577 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))) in n 4.577 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 4.577 * [taylor]: Taking taylor expansion of +nan.0 in n 4.577 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 4.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 4.577 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.577 * [taylor]: Taking taylor expansion of 0.5 in n 4.577 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.577 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.577 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.577 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.577 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.577 * [taylor]: Taking taylor expansion of 1.0 in n 4.577 * [taylor]: Taking taylor expansion of (log PI) in n 4.577 * [taylor]: Taking taylor expansion of PI in n 4.579 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.579 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.579 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.579 * [taylor]: Taking taylor expansion of 1.0 in n 4.579 * [taylor]: Taking taylor expansion of (log n) in n 4.579 * [taylor]: Taking taylor expansion of n in n 4.580 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.580 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.580 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.580 * [taylor]: Taking taylor expansion of 1.0 in n 4.580 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.580 * [taylor]: Taking taylor expansion of 2.0 in n 4.586 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) in n 4.586 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) in n 4.586 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 4.586 * [taylor]: Taking taylor expansion of +nan.0 in n 4.586 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 4.586 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 4.586 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 4.586 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.586 * [taylor]: Taking taylor expansion of 0.5 in n 4.586 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.586 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.586 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.586 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.586 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.586 * [taylor]: Taking taylor expansion of 1.0 in n 4.586 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.586 * [taylor]: Taking taylor expansion of 2.0 in n 4.588 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.588 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.588 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.588 * [taylor]: Taking taylor expansion of 1.0 in n 4.588 * [taylor]: Taking taylor expansion of (log PI) in n 4.588 * [taylor]: Taking taylor expansion of PI in n 4.590 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.590 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.590 * [taylor]: Taking taylor expansion of 1.0 in n 4.590 * [taylor]: Taking taylor expansion of (log n) in n 4.590 * [taylor]: Taking taylor expansion of n in n 4.595 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.595 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.595 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.601 * [taylor]: Taking taylor expansion of 2.0 in n 4.601 * [taylor]: Taking taylor expansion of (* n PI) in n 4.601 * [taylor]: Taking taylor expansion of n in n 4.601 * [taylor]: Taking taylor expansion of PI in n 4.605 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 4.605 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 4.605 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 4.605 * [taylor]: Taking taylor expansion of +nan.0 in n 4.605 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 4.605 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.605 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.605 * [taylor]: Taking taylor expansion of 2.0 in n 4.605 * [taylor]: Taking taylor expansion of (* n PI) in n 4.605 * [taylor]: Taking taylor expansion of n in n 4.605 * [taylor]: Taking taylor expansion of PI in n 4.608 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 4.608 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 4.608 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.608 * [taylor]: Taking taylor expansion of 0.5 in n 4.608 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.608 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.608 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.608 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.608 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.608 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.608 * [taylor]: Taking taylor expansion of 1.0 in n 4.608 * [taylor]: Taking taylor expansion of (log PI) in n 4.608 * [taylor]: Taking taylor expansion of PI in n 4.610 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.610 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.610 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.610 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.610 * [taylor]: Taking taylor expansion of 1.0 in n 4.610 * [taylor]: Taking taylor expansion of (log n) in n 4.610 * [taylor]: Taking taylor expansion of n in n 4.611 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.611 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.611 * [taylor]: Taking taylor expansion of 1.0 in n 4.611 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.611 * [taylor]: Taking taylor expansion of 2.0 in n 4.617 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 4.617 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 4.617 * [taylor]: Taking taylor expansion of +nan.0 in n 4.617 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 4.617 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.617 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.617 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.617 * [taylor]: Taking taylor expansion of 2.0 in n 4.617 * [taylor]: Taking taylor expansion of (* n PI) in n 4.617 * [taylor]: Taking taylor expansion of n in n 4.617 * [taylor]: Taking taylor expansion of PI in n 4.621 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 4.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 4.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.621 * [taylor]: Taking taylor expansion of 0.5 in n 4.621 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.622 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.622 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.622 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.622 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.622 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.622 * [taylor]: Taking taylor expansion of 1.0 in n 4.622 * [taylor]: Taking taylor expansion of (log PI) in n 4.622 * [taylor]: Taking taylor expansion of PI in n 4.623 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.623 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.624 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.624 * [taylor]: Taking taylor expansion of 1.0 in n 4.624 * [taylor]: Taking taylor expansion of (log n) in n 4.624 * [taylor]: Taking taylor expansion of n in n 4.624 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.624 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.624 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.624 * [taylor]: Taking taylor expansion of 1.0 in n 4.624 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.624 * [taylor]: Taking taylor expansion of 2.0 in n 4.750 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.750 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.750 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.750 * [taylor]: Taking taylor expansion of k in n 4.750 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.750 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.750 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.750 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.750 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.750 * [taylor]: Taking taylor expansion of 0.5 in n 4.750 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.750 * [taylor]: Taking taylor expansion of 1.0 in n 4.750 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.750 * [taylor]: Taking taylor expansion of k in n 4.750 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.750 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.750 * [taylor]: Taking taylor expansion of 2.0 in n 4.750 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.750 * [taylor]: Taking taylor expansion of PI in n 4.750 * [taylor]: Taking taylor expansion of n in n 4.755 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.755 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.755 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.755 * [taylor]: Taking taylor expansion of k in k 4.756 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.756 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.756 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.756 * [taylor]: Taking taylor expansion of 0.5 in k 4.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.756 * [taylor]: Taking taylor expansion of 1.0 in k 4.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.756 * [taylor]: Taking taylor expansion of k in k 4.757 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.757 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.757 * [taylor]: Taking taylor expansion of 2.0 in k 4.757 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.757 * [taylor]: Taking taylor expansion of PI in k 4.757 * [taylor]: Taking taylor expansion of n in k 4.758 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.758 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.758 * [taylor]: Taking taylor expansion of k in k 4.759 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.759 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.759 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.759 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.759 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.759 * [taylor]: Taking taylor expansion of 0.5 in k 4.759 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.759 * [taylor]: Taking taylor expansion of 1.0 in k 4.759 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.759 * [taylor]: Taking taylor expansion of k in k 4.760 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.760 * [taylor]: Taking taylor expansion of 2.0 in k 4.760 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.760 * [taylor]: Taking taylor expansion of PI in k 4.760 * [taylor]: Taking taylor expansion of n in k 4.761 * [taylor]: Taking taylor expansion of 0 in n 4.762 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 4.762 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.762 * [taylor]: Taking taylor expansion of +nan.0 in n 4.762 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.762 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.762 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.762 * [taylor]: Taking taylor expansion of 0.5 in n 4.762 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.762 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.762 * [taylor]: Taking taylor expansion of 2.0 in n 4.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.762 * [taylor]: Taking taylor expansion of PI in n 4.762 * [taylor]: Taking taylor expansion of n in n 4.763 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.763 * [taylor]: Taking taylor expansion of 1.0 in n 4.763 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.763 * [taylor]: Taking taylor expansion of k in n 4.777 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 4.777 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.777 * [taylor]: Taking taylor expansion of +nan.0 in n 4.777 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.777 * [taylor]: Taking taylor expansion of 0.5 in n 4.777 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.777 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.777 * [taylor]: Taking taylor expansion of 2.0 in n 4.778 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.778 * [taylor]: Taking taylor expansion of PI in n 4.778 * [taylor]: Taking taylor expansion of n in n 4.779 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.779 * [taylor]: Taking taylor expansion of 1.0 in n 4.779 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.779 * [taylor]: Taking taylor expansion of k in n 4.798 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 4.798 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.798 * [taylor]: Taking taylor expansion of +nan.0 in n 4.799 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.799 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.799 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.799 * [taylor]: Taking taylor expansion of 0.5 in n 4.799 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.799 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.799 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.799 * [taylor]: Taking taylor expansion of 2.0 in n 4.799 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.799 * [taylor]: Taking taylor expansion of PI in n 4.799 * [taylor]: Taking taylor expansion of n in n 4.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.800 * [taylor]: Taking taylor expansion of 1.0 in n 4.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.800 * [taylor]: Taking taylor expansion of k in n 4.810 * [approximate]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 4.810 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.810 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.810 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.810 * [taylor]: Taking taylor expansion of -1 in n 4.810 * [taylor]: Taking taylor expansion of k in n 4.810 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.810 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.810 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.810 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.810 * [taylor]: Taking taylor expansion of 0.5 in n 4.810 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.810 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.810 * [taylor]: Taking taylor expansion of k in n 4.810 * [taylor]: Taking taylor expansion of 1.0 in n 4.810 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.810 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.810 * [taylor]: Taking taylor expansion of -2.0 in n 4.810 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.810 * [taylor]: Taking taylor expansion of PI in n 4.810 * [taylor]: Taking taylor expansion of n in n 4.815 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.815 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.815 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.815 * [taylor]: Taking taylor expansion of -1 in k 4.815 * [taylor]: Taking taylor expansion of k in k 4.816 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.816 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.816 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.816 * [taylor]: Taking taylor expansion of 0.5 in k 4.816 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.816 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.816 * [taylor]: Taking taylor expansion of k in k 4.816 * [taylor]: Taking taylor expansion of 1.0 in k 4.816 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.816 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.816 * [taylor]: Taking taylor expansion of -2.0 in k 4.816 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.816 * [taylor]: Taking taylor expansion of PI in k 4.816 * [taylor]: Taking taylor expansion of n in k 4.817 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.817 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.817 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.817 * [taylor]: Taking taylor expansion of -1 in k 4.817 * [taylor]: Taking taylor expansion of k in k 4.819 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.819 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.819 * [taylor]: Taking taylor expansion of 0.5 in k 4.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.819 * [taylor]: Taking taylor expansion of k in k 4.819 * [taylor]: Taking taylor expansion of 1.0 in k 4.819 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.819 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.819 * [taylor]: Taking taylor expansion of -2.0 in k 4.819 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.819 * [taylor]: Taking taylor expansion of PI in k 4.819 * [taylor]: Taking taylor expansion of n in k 4.820 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.820 * [taylor]: Taking taylor expansion of +nan.0 in n 4.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.820 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.820 * [taylor]: Taking taylor expansion of 0.5 in n 4.820 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.820 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.820 * [taylor]: Taking taylor expansion of k in n 4.820 * [taylor]: Taking taylor expansion of 1.0 in n 4.820 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.820 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.820 * [taylor]: Taking taylor expansion of -2.0 in n 4.820 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.820 * [taylor]: Taking taylor expansion of PI in n 4.820 * [taylor]: Taking taylor expansion of n in n 4.829 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 4.829 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.829 * [taylor]: Taking taylor expansion of +nan.0 in n 4.829 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.829 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.829 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.829 * [taylor]: Taking taylor expansion of 0.5 in n 4.829 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.829 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.829 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.829 * [taylor]: Taking taylor expansion of k in n 4.829 * [taylor]: Taking taylor expansion of 1.0 in n 4.829 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.829 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.829 * [taylor]: Taking taylor expansion of -2.0 in n 4.829 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.829 * [taylor]: Taking taylor expansion of PI in n 4.829 * [taylor]: Taking taylor expansion of n in n 4.848 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 4.848 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.848 * [taylor]: Taking taylor expansion of +nan.0 in n 4.848 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.848 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.848 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.848 * [taylor]: Taking taylor expansion of 0.5 in n 4.848 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.849 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.849 * [taylor]: Taking taylor expansion of k in n 4.849 * [taylor]: Taking taylor expansion of 1.0 in n 4.849 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.849 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.849 * [taylor]: Taking taylor expansion of -2.0 in n 4.849 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.849 * [taylor]: Taking taylor expansion of PI in n 4.849 * [taylor]: Taking taylor expansion of n in n 4.859 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 4.865 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in (k n) around 0 4.865 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.865 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.865 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.865 * [taylor]: Taking taylor expansion of k in n 4.865 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.865 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.865 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.865 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.865 * [taylor]: Taking taylor expansion of 0.5 in n 4.865 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.865 * [taylor]: Taking taylor expansion of 1.0 in n 4.865 * [taylor]: Taking taylor expansion of k in n 4.865 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.865 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.865 * [taylor]: Taking taylor expansion of 2.0 in n 4.865 * [taylor]: Taking taylor expansion of (* n PI) in n 4.865 * [taylor]: Taking taylor expansion of n in n 4.865 * [taylor]: Taking taylor expansion of PI in n 4.871 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.871 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.871 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.871 * [taylor]: Taking taylor expansion of k in k 4.872 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.872 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.872 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.872 * [taylor]: Taking taylor expansion of 0.5 in k 4.872 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.872 * [taylor]: Taking taylor expansion of 1.0 in k 4.872 * [taylor]: Taking taylor expansion of k in k 4.872 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.872 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.872 * [taylor]: Taking taylor expansion of 2.0 in k 4.872 * [taylor]: Taking taylor expansion of (* n PI) in k 4.872 * [taylor]: Taking taylor expansion of n in k 4.872 * [taylor]: Taking taylor expansion of PI in k 4.873 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.873 * [taylor]: Taking taylor expansion of k in k 4.875 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.875 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.875 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.875 * [taylor]: Taking taylor expansion of 0.5 in k 4.875 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.875 * [taylor]: Taking taylor expansion of 1.0 in k 4.875 * [taylor]: Taking taylor expansion of k in k 4.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.875 * [taylor]: Taking taylor expansion of 2.0 in k 4.875 * [taylor]: Taking taylor expansion of (* n PI) in k 4.875 * [taylor]: Taking taylor expansion of n in k 4.875 * [taylor]: Taking taylor expansion of PI in k 4.876 * [taylor]: Taking taylor expansion of 0 in n 4.880 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.880 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.880 * [taylor]: Taking taylor expansion of +nan.0 in n 4.880 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.880 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.880 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.880 * [taylor]: Taking taylor expansion of 0.5 in n 4.880 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.880 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.880 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.881 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.881 * [taylor]: Taking taylor expansion of 1.0 in n 4.881 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.881 * [taylor]: Taking taylor expansion of 2.0 in n 4.882 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.882 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.882 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.882 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.882 * [taylor]: Taking taylor expansion of 1.0 in n 4.882 * [taylor]: Taking taylor expansion of (log n) in n 4.882 * [taylor]: Taking taylor expansion of n in n 4.883 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.883 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.883 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.883 * [taylor]: Taking taylor expansion of 1.0 in n 4.883 * [taylor]: Taking taylor expansion of (log PI) in n 4.883 * [taylor]: Taking taylor expansion of PI in n 4.899 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 4.899 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 4.899 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.899 * [taylor]: Taking taylor expansion of +nan.0 in n 4.899 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.899 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.899 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.899 * [taylor]: Taking taylor expansion of 0.5 in n 4.899 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.899 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.900 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.900 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.900 * [taylor]: Taking taylor expansion of 1.0 in n 4.900 * [taylor]: Taking taylor expansion of (log PI) in n 4.900 * [taylor]: Taking taylor expansion of PI in n 4.902 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.902 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.902 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.902 * [taylor]: Taking taylor expansion of 1.0 in n 4.902 * [taylor]: Taking taylor expansion of (log n) in n 4.902 * [taylor]: Taking taylor expansion of n in n 4.902 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.902 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.902 * [taylor]: Taking taylor expansion of 1.0 in n 4.902 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.902 * [taylor]: Taking taylor expansion of 2.0 in n 4.908 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 4.908 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.908 * [taylor]: Taking taylor expansion of +nan.0 in n 4.908 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.908 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.908 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.908 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.908 * [taylor]: Taking taylor expansion of 0.5 in n 4.908 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.908 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.908 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.908 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.908 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.908 * [taylor]: Taking taylor expansion of 1.0 in n 4.908 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.908 * [taylor]: Taking taylor expansion of 2.0 in n 4.910 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.910 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.910 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.910 * [taylor]: Taking taylor expansion of 1.0 in n 4.910 * [taylor]: Taking taylor expansion of (log PI) in n 4.910 * [taylor]: Taking taylor expansion of PI in n 4.912 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.912 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.912 * [taylor]: Taking taylor expansion of 1.0 in n 4.912 * [taylor]: Taking taylor expansion of (log n) in n 4.912 * [taylor]: Taking taylor expansion of n in n 4.916 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.916 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.916 * [taylor]: Taking taylor expansion of 2.0 in n 4.916 * [taylor]: Taking taylor expansion of (* n PI) in n 4.916 * [taylor]: Taking taylor expansion of n in n 4.916 * [taylor]: Taking taylor expansion of PI in n 4.965 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 4.965 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 4.965 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.965 * [taylor]: Taking taylor expansion of +nan.0 in n 4.965 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.965 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.966 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.966 * [taylor]: Taking taylor expansion of 0.5 in n 4.966 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.966 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.966 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.966 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.966 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.966 * [taylor]: Taking taylor expansion of 1.0 in n 4.966 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.966 * [taylor]: Taking taylor expansion of 2.0 in n 4.967 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.967 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.967 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.967 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.968 * [taylor]: Taking taylor expansion of 1.0 in n 4.968 * [taylor]: Taking taylor expansion of (log n) in n 4.968 * [taylor]: Taking taylor expansion of n in n 4.968 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.968 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.968 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.968 * [taylor]: Taking taylor expansion of 1.0 in n 4.968 * [taylor]: Taking taylor expansion of (log PI) in n 4.968 * [taylor]: Taking taylor expansion of PI in n 4.974 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 4.974 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 4.974 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 4.974 * [taylor]: Taking taylor expansion of +nan.0 in n 4.974 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 4.974 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.974 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.974 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.974 * [taylor]: Taking taylor expansion of 0.5 in n 4.974 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.974 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.974 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.974 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.974 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.974 * [taylor]: Taking taylor expansion of 1.0 in n 4.974 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.974 * [taylor]: Taking taylor expansion of 2.0 in n 4.976 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.976 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.976 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.976 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.976 * [taylor]: Taking taylor expansion of 1.0 in n 4.976 * [taylor]: Taking taylor expansion of (log PI) in n 4.976 * [taylor]: Taking taylor expansion of PI in n 4.978 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.978 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.978 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.978 * [taylor]: Taking taylor expansion of 1.0 in n 4.978 * [taylor]: Taking taylor expansion of (log n) in n 4.978 * [taylor]: Taking taylor expansion of n in n 4.982 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.982 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.982 * [taylor]: Taking taylor expansion of 2.0 in n 4.982 * [taylor]: Taking taylor expansion of (* n PI) in n 4.982 * [taylor]: Taking taylor expansion of n in n 4.982 * [taylor]: Taking taylor expansion of PI in n 4.985 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 4.985 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 4.985 * [taylor]: Taking taylor expansion of +nan.0 in n 4.985 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 4.985 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.985 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.985 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.985 * [taylor]: Taking taylor expansion of 0.5 in n 4.985 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.985 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.985 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.985 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.985 * [taylor]: Taking taylor expansion of 1.0 in n 4.985 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.986 * [taylor]: Taking taylor expansion of 2.0 in n 4.987 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.987 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.987 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.987 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.987 * [taylor]: Taking taylor expansion of 1.0 in n 4.987 * [taylor]: Taking taylor expansion of (log PI) in n 4.987 * [taylor]: Taking taylor expansion of PI in n 4.989 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.989 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.989 * [taylor]: Taking taylor expansion of 1.0 in n 4.989 * [taylor]: Taking taylor expansion of (log n) in n 4.989 * [taylor]: Taking taylor expansion of n in n 4.993 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.993 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.993 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.993 * [taylor]: Taking taylor expansion of 2.0 in n 4.994 * [taylor]: Taking taylor expansion of (* n PI) in n 4.994 * [taylor]: Taking taylor expansion of n in n 4.994 * [taylor]: Taking taylor expansion of PI in n 5.072 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 5.072 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 5.072 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.072 * [taylor]: Taking taylor expansion of k in n 5.072 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.072 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.073 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.073 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.073 * [taylor]: Taking taylor expansion of 0.5 in n 5.073 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.073 * [taylor]: Taking taylor expansion of 1.0 in n 5.073 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.073 * [taylor]: Taking taylor expansion of k in n 5.073 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.073 * [taylor]: Taking taylor expansion of 2.0 in n 5.073 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.073 * [taylor]: Taking taylor expansion of PI in n 5.073 * [taylor]: Taking taylor expansion of n in n 5.076 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.076 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.076 * [taylor]: Taking taylor expansion of k in k 5.078 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.078 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.078 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.078 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.078 * [taylor]: Taking taylor expansion of 0.5 in k 5.078 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.078 * [taylor]: Taking taylor expansion of 1.0 in k 5.078 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.078 * [taylor]: Taking taylor expansion of k in k 5.078 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.078 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.078 * [taylor]: Taking taylor expansion of 2.0 in k 5.078 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.078 * [taylor]: Taking taylor expansion of PI in k 5.078 * [taylor]: Taking taylor expansion of n in k 5.079 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.079 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.079 * [taylor]: Taking taylor expansion of k in k 5.080 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.080 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.080 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.080 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.080 * [taylor]: Taking taylor expansion of 0.5 in k 5.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.080 * [taylor]: Taking taylor expansion of 1.0 in k 5.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.080 * [taylor]: Taking taylor expansion of k in k 5.081 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.081 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.081 * [taylor]: Taking taylor expansion of 2.0 in k 5.081 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.081 * [taylor]: Taking taylor expansion of PI in k 5.081 * [taylor]: Taking taylor expansion of n in k 5.082 * [taylor]: Taking taylor expansion of 0 in n 5.082 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.082 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.082 * [taylor]: Taking taylor expansion of +nan.0 in n 5.082 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.082 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.082 * [taylor]: Taking taylor expansion of 0.5 in n 5.082 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.082 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.082 * [taylor]: Taking taylor expansion of 2.0 in n 5.082 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.082 * [taylor]: Taking taylor expansion of PI in n 5.082 * [taylor]: Taking taylor expansion of n in n 5.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.084 * [taylor]: Taking taylor expansion of 1.0 in n 5.084 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.084 * [taylor]: Taking taylor expansion of k in n 5.092 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.092 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.092 * [taylor]: Taking taylor expansion of +nan.0 in n 5.092 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.092 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.092 * [taylor]: Taking taylor expansion of 0.5 in n 5.092 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.092 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.092 * [taylor]: Taking taylor expansion of 2.0 in n 5.092 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.092 * [taylor]: Taking taylor expansion of PI in n 5.092 * [taylor]: Taking taylor expansion of n in n 5.094 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.094 * [taylor]: Taking taylor expansion of 1.0 in n 5.094 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.094 * [taylor]: Taking taylor expansion of k in n 5.110 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 5.110 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 5.110 * [taylor]: Taking taylor expansion of +nan.0 in n 5.110 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 5.110 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 5.110 * [taylor]: Taking taylor expansion of 0.5 in n 5.110 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 5.110 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.110 * [taylor]: Taking taylor expansion of 2.0 in n 5.110 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.110 * [taylor]: Taking taylor expansion of PI in n 5.110 * [taylor]: Taking taylor expansion of n in n 5.111 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.111 * [taylor]: Taking taylor expansion of 1.0 in n 5.111 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.111 * [taylor]: Taking taylor expansion of k in n 5.120 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (k n) around 0 5.120 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 5.120 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.120 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.120 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.120 * [taylor]: Taking taylor expansion of 0.5 in n 5.120 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.120 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.120 * [taylor]: Taking taylor expansion of k in n 5.120 * [taylor]: Taking taylor expansion of 1.0 in n 5.120 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.120 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.120 * [taylor]: Taking taylor expansion of -2.0 in n 5.120 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.120 * [taylor]: Taking taylor expansion of PI in n 5.120 * [taylor]: Taking taylor expansion of n in n 5.124 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 5.124 * [taylor]: Taking taylor expansion of (/ -1 k) in n 5.124 * [taylor]: Taking taylor expansion of -1 in n 5.124 * [taylor]: Taking taylor expansion of k in n 5.125 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.125 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.125 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.125 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.125 * [taylor]: Taking taylor expansion of 0.5 in k 5.125 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.125 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.125 * [taylor]: Taking taylor expansion of k in k 5.126 * [taylor]: Taking taylor expansion of 1.0 in k 5.126 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.126 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.126 * [taylor]: Taking taylor expansion of -2.0 in k 5.126 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.126 * [taylor]: Taking taylor expansion of PI in k 5.126 * [taylor]: Taking taylor expansion of n in k 5.126 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.126 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.126 * [taylor]: Taking taylor expansion of -1 in k 5.127 * [taylor]: Taking taylor expansion of k in k 5.128 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.128 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.128 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.128 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.128 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.128 * [taylor]: Taking taylor expansion of 0.5 in k 5.128 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.128 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.128 * [taylor]: Taking taylor expansion of k in k 5.128 * [taylor]: Taking taylor expansion of 1.0 in k 5.128 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.128 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.128 * [taylor]: Taking taylor expansion of -2.0 in k 5.129 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.129 * [taylor]: Taking taylor expansion of PI in k 5.129 * [taylor]: Taking taylor expansion of n in k 5.135 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.135 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.135 * [taylor]: Taking taylor expansion of -1 in k 5.135 * [taylor]: Taking taylor expansion of k in k 5.137 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.137 * [taylor]: Taking taylor expansion of +nan.0 in n 5.137 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.137 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.137 * [taylor]: Taking taylor expansion of 0.5 in n 5.137 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.137 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.137 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.137 * [taylor]: Taking taylor expansion of k in n 5.137 * [taylor]: Taking taylor expansion of 1.0 in n 5.137 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.137 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.137 * [taylor]: Taking taylor expansion of -2.0 in n 5.137 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.137 * [taylor]: Taking taylor expansion of PI in n 5.137 * [taylor]: Taking taylor expansion of n in n 5.146 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.146 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.146 * [taylor]: Taking taylor expansion of +nan.0 in n 5.146 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.146 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.146 * [taylor]: Taking taylor expansion of 0.5 in n 5.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.146 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.146 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.146 * [taylor]: Taking taylor expansion of k in n 5.146 * [taylor]: Taking taylor expansion of 1.0 in n 5.146 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.146 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.146 * [taylor]: Taking taylor expansion of -2.0 in n 5.146 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.146 * [taylor]: Taking taylor expansion of PI in n 5.146 * [taylor]: Taking taylor expansion of n in n 5.164 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 5.164 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 5.164 * [taylor]: Taking taylor expansion of +nan.0 in n 5.164 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 5.164 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 5.164 * [taylor]: Taking taylor expansion of 0.5 in n 5.164 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 5.164 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.164 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.164 * [taylor]: Taking taylor expansion of k in n 5.164 * [taylor]: Taking taylor expansion of 1.0 in n 5.164 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.164 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.164 * [taylor]: Taking taylor expansion of -2.0 in n 5.164 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.164 * [taylor]: Taking taylor expansion of PI in n 5.164 * [taylor]: Taking taylor expansion of n in n 5.173 * * * [progress]: simplifying candidates 5.179 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 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) (expm1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (- (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (* (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)))) (* (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (- (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (cbrt (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (/ (sqrt (cbrt k)) (pow n (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (sqrt (cbrt k)) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (cbrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) 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(pow (exp 0.5) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)) (- (* +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5)))))))))))))) (+ (- (* +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))))) (fma +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))))))) (+ (- (* +nan.0 (/ 1 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (fma +nan.0 (/ 1 (* k (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)))) (fma +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (fma +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) 5.245 * * * [progress]: adding candidates to table 5.933 * [progress]: [Phase 3 of 3] Extracting. 5.933 * * [regime]: Finding splitpoints for: (# # # # # # #) 5.936 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.937 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 5.975 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 6.008 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 6.045 * * * [regime]: Found split indices: #