13.508 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.078 * * * [progress]: [2/2] Setting up program. 0.081 * [progress]: [Phase 2 of 3] Improving. 0.081 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.083 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.084 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.086 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.088 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.094 * * [simplify]: iteration 4 : 1034 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 0.120 * * * * [pick]: Picked # 0.120 * * * [progress]: localizing error 0.136 * * * [progress]: generating rewritten candidates 0.136 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.146 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.152 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.177 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.178 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.178 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.178 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.178 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.178 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.178 * [taylor]: Taking taylor expansion of 0.5 in k 0.178 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.178 * [taylor]: Taking taylor expansion of 1.0 in k 0.178 * [taylor]: Taking taylor expansion of k in k 0.178 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.178 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.178 * [taylor]: Taking taylor expansion of 2.0 in k 0.178 * [taylor]: Taking taylor expansion of (* n PI) in k 0.178 * [taylor]: Taking taylor expansion of n in k 0.178 * [taylor]: Taking taylor expansion of PI in k 0.179 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.179 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.179 * [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 0.185 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.185 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.185 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.185 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.185 * [taylor]: Taking taylor expansion of 0.5 in n 0.185 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.185 * [taylor]: Taking taylor expansion of 1.0 in n 0.185 * [taylor]: Taking taylor expansion of k in n 0.185 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.185 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.185 * [taylor]: Taking taylor expansion of 2.0 in n 0.185 * [taylor]: Taking taylor expansion of (* n PI) in n 0.185 * [taylor]: Taking taylor expansion of n in n 0.185 * [taylor]: Taking taylor expansion of PI in n 0.191 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.191 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.191 * [taylor]: Taking taylor expansion of 0.5 in k 0.191 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.191 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.191 * [taylor]: Taking taylor expansion of 1.0 in k 0.191 * [taylor]: Taking taylor expansion of k in k 0.191 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.191 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.191 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.191 * [taylor]: Taking taylor expansion of 2.0 in k 0.191 * [taylor]: Taking taylor expansion of PI in k 0.192 * [taylor]: Taking taylor expansion of (log n) in k 0.192 * [taylor]: Taking taylor expansion of n in k 0.201 * [taylor]: Taking taylor expansion of 0 in k 0.223 * [taylor]: Taking taylor expansion of 0 in k 0.241 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.241 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.241 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.241 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.241 * [taylor]: Taking taylor expansion of 0.5 in k 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.241 * [taylor]: Taking taylor expansion of 1.0 in k 0.241 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.241 * [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 0.243 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.243 * [taylor]: Taking taylor expansion of PI in n 0.243 * [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 0.247 * [taylor]: Taking taylor expansion of PI in n 0.247 * [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 0.269 * [taylor]: Taking taylor expansion of 0 in k 0.278 * [taylor]: Taking taylor expansion of 0 in k 0.279 * [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 0.280 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.280 * [taylor]: Taking taylor expansion of PI in k 0.280 * [taylor]: Taking taylor expansion of n in k 0.281 * [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 0.281 * [taylor]: Taking taylor expansion of 1.0 in n 0.281 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.281 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.281 * [taylor]: Taking taylor expansion of -2.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.285 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.285 * [taylor]: Taking taylor expansion of 0.5 in n 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.285 * [taylor]: Taking taylor expansion of k in n 0.285 * [taylor]: Taking taylor expansion of 1.0 in n 0.285 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.285 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.285 * [taylor]: Taking taylor expansion of -2.0 in n 0.285 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.285 * [taylor]: Taking taylor expansion of PI in n 0.285 * [taylor]: Taking taylor expansion of n in n 0.289 * [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 0.289 * [taylor]: Taking taylor expansion of 1.0 in k 0.289 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.289 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.289 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.289 * [taylor]: Taking taylor expansion of -2.0 in k 0.289 * [taylor]: Taking taylor expansion of PI in k 0.290 * [taylor]: Taking taylor expansion of (log n) in k 0.290 * [taylor]: Taking taylor expansion of n in k 0.304 * [taylor]: Taking taylor expansion of 0 in k 0.311 * [taylor]: Taking taylor expansion of 0 in k 0.320 * [taylor]: Taking taylor expansion of 0 in k 0.321 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.322 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.322 * [taylor]: Taking taylor expansion of 2.0 in n 0.322 * [taylor]: Taking taylor expansion of (* n PI) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.322 * [taylor]: Taking taylor expansion of PI in n 0.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.322 * [taylor]: Taking taylor expansion of 2.0 in n 0.322 * [taylor]: Taking taylor expansion of (* n PI) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.322 * [taylor]: Taking taylor expansion of PI in n 0.334 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.334 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.334 * [taylor]: Taking taylor expansion of 2.0 in n 0.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.334 * [taylor]: Taking taylor expansion of PI in n 0.334 * [taylor]: Taking taylor expansion of n in n 0.335 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.335 * [taylor]: Taking taylor expansion of 2.0 in n 0.335 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.335 * [taylor]: Taking taylor expansion of PI in n 0.335 * [taylor]: Taking taylor expansion of n in n 0.343 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.343 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.343 * [taylor]: Taking taylor expansion of -2.0 in n 0.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.343 * [taylor]: Taking taylor expansion of PI in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.344 * [taylor]: Taking taylor expansion of -2.0 in n 0.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.344 * [taylor]: Taking taylor expansion of PI in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.352 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.352 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.352 * [taylor]: Taking taylor expansion of 1.0 in k 0.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.352 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.352 * [taylor]: Taking taylor expansion of k in k 0.354 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.354 * [taylor]: Taking taylor expansion of 1.0 in k 0.354 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.354 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.354 * [taylor]: Taking taylor expansion of k in k 0.365 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.365 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.365 * [taylor]: Taking taylor expansion of 1.0 in k 0.365 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.365 * [taylor]: Taking taylor expansion of k in k 0.366 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.366 * [taylor]: Taking taylor expansion of 1.0 in k 0.366 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.366 * [taylor]: Taking taylor expansion of k in k 0.382 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.382 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.382 * [taylor]: Taking taylor expansion of 1.0 in k 0.382 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.382 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.382 * [taylor]: Taking taylor expansion of -1 in k 0.382 * [taylor]: Taking taylor expansion of k in k 0.384 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.384 * [taylor]: Taking taylor expansion of 1.0 in k 0.384 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.384 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.384 * [taylor]: Taking taylor expansion of -1 in k 0.384 * [taylor]: Taking taylor expansion of k in k 0.395 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.396 * [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 0.396 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.396 * [taylor]: Taking taylor expansion of 1.0 in n 0.396 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.396 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.396 * [taylor]: Taking taylor expansion of k in n 0.396 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.396 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.396 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.396 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.396 * [taylor]: Taking taylor expansion of 0.5 in n 0.396 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.396 * [taylor]: Taking taylor expansion of 1.0 in n 0.396 * [taylor]: Taking taylor expansion of k in n 0.396 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.397 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.397 * [taylor]: Taking taylor expansion of 2.0 in n 0.397 * [taylor]: Taking taylor expansion of (* n PI) in n 0.397 * [taylor]: Taking taylor expansion of n in n 0.397 * [taylor]: Taking taylor expansion of PI in n 0.402 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.402 * [taylor]: Taking taylor expansion of 1.0 in k 0.402 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.402 * [taylor]: Taking taylor expansion of k in k 0.403 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.403 * [taylor]: Taking taylor expansion of 0.5 in k 0.403 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.403 * [taylor]: Taking taylor expansion of 1.0 in k 0.403 * [taylor]: Taking taylor expansion of k in k 0.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.403 * [taylor]: Taking taylor expansion of 2.0 in k 0.403 * [taylor]: Taking taylor expansion of (* n PI) in k 0.403 * [taylor]: Taking taylor expansion of n in k 0.403 * [taylor]: Taking taylor expansion of PI in k 0.404 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.404 * [taylor]: Taking taylor expansion of 1.0 in k 0.404 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.404 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.404 * [taylor]: Taking taylor expansion of k in k 0.406 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.406 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.406 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.406 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.406 * [taylor]: Taking taylor expansion of 0.5 in k 0.406 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.406 * [taylor]: Taking taylor expansion of 1.0 in k 0.406 * [taylor]: Taking taylor expansion of k in k 0.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.406 * [taylor]: Taking taylor expansion of 2.0 in k 0.406 * [taylor]: Taking taylor expansion of (* n PI) in k 0.406 * [taylor]: Taking taylor expansion of n in k 0.407 * [taylor]: Taking taylor expansion of PI in k 0.408 * [taylor]: Taking taylor expansion of 0 in n 0.413 * [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 0.413 * [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 0.413 * [taylor]: Taking taylor expansion of +nan.0 in n 0.413 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.413 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.413 * [taylor]: Taking taylor expansion of 0.5 in n 0.413 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.413 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.413 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.413 * [taylor]: Taking taylor expansion of 1.0 in n 0.413 * [taylor]: Taking taylor expansion of (log PI) in n 0.413 * [taylor]: Taking taylor expansion of PI in n 0.415 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.415 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.415 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.415 * [taylor]: Taking taylor expansion of 1.0 in n 0.415 * [taylor]: Taking taylor expansion of (log n) in n 0.415 * [taylor]: Taking taylor expansion of n in n 0.416 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.416 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.416 * [taylor]: Taking taylor expansion of 1.0 in n 0.416 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.416 * [taylor]: Taking taylor expansion of 2.0 in n 0.435 * [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 0.436 * [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 0.436 * [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 0.436 * [taylor]: Taking taylor expansion of +nan.0 in n 0.436 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.436 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.436 * [taylor]: Taking taylor expansion of 0.5 in n 0.436 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.436 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.436 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.436 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.436 * [taylor]: Taking taylor expansion of 1.0 in n 0.436 * [taylor]: Taking taylor expansion of (log PI) in n 0.436 * [taylor]: Taking taylor expansion of PI in n 0.438 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.438 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.438 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.438 * [taylor]: Taking taylor expansion of 1.0 in n 0.438 * [taylor]: Taking taylor expansion of (log n) in n 0.438 * [taylor]: Taking taylor expansion of n in n 0.438 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.438 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.438 * [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 0.444 * [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 0.444 * [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 0.444 * [taylor]: Taking taylor expansion of +nan.0 in n 0.444 * [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 0.444 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.444 * [taylor]: Taking taylor expansion of 0.5 in n 0.444 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.444 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.444 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.444 * [taylor]: Taking taylor expansion of 2.0 in n 0.446 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.446 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log PI) in n 0.446 * [taylor]: Taking taylor expansion of PI in n 0.448 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.448 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log n) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [taylor]: Taking taylor expansion of (* n PI) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of PI in n 0.507 * [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 0.507 * [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 0.507 * [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 0.507 * [taylor]: Taking taylor expansion of +nan.0 in n 0.507 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.507 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.507 * [taylor]: Taking taylor expansion of 0.5 in n 0.507 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.507 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.507 * [taylor]: Taking taylor expansion of 1.0 in n 0.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.507 * [taylor]: Taking taylor expansion of 2.0 in n 0.509 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.509 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.509 * [taylor]: Taking taylor expansion of 1.0 in n 0.509 * [taylor]: Taking taylor expansion of (log n) in n 0.509 * [taylor]: Taking taylor expansion of n in n 0.509 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.509 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.509 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.509 * [taylor]: Taking taylor expansion of 1.0 in n 0.509 * [taylor]: Taking taylor expansion of (log PI) in n 0.509 * [taylor]: Taking taylor expansion of PI in n 0.515 * [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 0.515 * [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 0.515 * [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 0.515 * [taylor]: Taking taylor expansion of +nan.0 in n 0.515 * [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 0.515 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.515 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.515 * [taylor]: Taking taylor expansion of 0.5 in n 0.515 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.515 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.515 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.515 * [taylor]: Taking taylor expansion of 2.0 in n 0.517 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.517 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.517 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.517 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.517 * [taylor]: Taking taylor expansion of 1.0 in n 0.517 * [taylor]: Taking taylor expansion of (log PI) in n 0.517 * [taylor]: Taking taylor expansion of PI in n 0.519 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.519 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.519 * [taylor]: Taking taylor expansion of 1.0 in n 0.519 * [taylor]: Taking taylor expansion of (log n) in n 0.519 * [taylor]: Taking taylor expansion of n in n 0.523 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.523 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.523 * [taylor]: Taking taylor expansion of 2.0 in n 0.523 * [taylor]: Taking taylor expansion of (* n PI) in n 0.523 * [taylor]: Taking taylor expansion of n in n 0.523 * [taylor]: Taking taylor expansion of PI in n 0.526 * [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 0.526 * [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 0.526 * [taylor]: Taking taylor expansion of +nan.0 in n 0.526 * [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 0.527 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.527 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.527 * [taylor]: Taking taylor expansion of 0.5 in n 0.527 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.527 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.527 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.527 * [taylor]: Taking taylor expansion of 1.0 in n 0.527 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.527 * [taylor]: Taking taylor expansion of 2.0 in n 0.528 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.528 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.528 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.529 * [taylor]: Taking taylor expansion of 1.0 in n 0.529 * [taylor]: Taking taylor expansion of (log PI) in n 0.529 * [taylor]: Taking taylor expansion of PI in n 0.531 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (log n) in n 0.531 * [taylor]: Taking taylor expansion of n in n 0.535 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.535 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.535 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.535 * [taylor]: Taking taylor expansion of 2.0 in n 0.535 * [taylor]: Taking taylor expansion of (* n PI) in n 0.535 * [taylor]: Taking taylor expansion of n in n 0.535 * [taylor]: Taking taylor expansion of PI in n 0.614 * [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 0.614 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.614 * [taylor]: Taking taylor expansion of 1.0 in n 0.614 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.614 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.614 * [taylor]: Taking taylor expansion of k in n 0.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.614 * [taylor]: Taking taylor expansion of 0.5 in n 0.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.614 * [taylor]: Taking taylor expansion of 1.0 in n 0.614 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.614 * [taylor]: Taking taylor expansion of k in n 0.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.614 * [taylor]: Taking taylor expansion of 2.0 in n 0.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.614 * [taylor]: Taking taylor expansion of PI in n 0.614 * [taylor]: Taking taylor expansion of n in n 0.618 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.618 * [taylor]: Taking taylor expansion of 1.0 in k 0.618 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.618 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.618 * [taylor]: Taking taylor expansion of k in k 0.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.619 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.619 * [taylor]: Taking taylor expansion of 0.5 in k 0.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.619 * [taylor]: Taking taylor expansion of 1.0 in k 0.619 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.619 * [taylor]: Taking taylor expansion of k in k 0.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.619 * [taylor]: Taking taylor expansion of 2.0 in k 0.619 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.620 * [taylor]: Taking taylor expansion of PI in k 0.620 * [taylor]: Taking taylor expansion of n in k 0.621 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.621 * [taylor]: Taking taylor expansion of 1.0 in k 0.621 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.621 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.621 * [taylor]: Taking taylor expansion of k in k 0.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.622 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.622 * [taylor]: Taking taylor expansion of 0.5 in k 0.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.622 * [taylor]: Taking taylor expansion of 1.0 in k 0.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.622 * [taylor]: Taking taylor expansion of k in k 0.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.622 * [taylor]: Taking taylor expansion of 2.0 in k 0.622 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.622 * [taylor]: Taking taylor expansion of PI in k 0.622 * [taylor]: Taking taylor expansion of n in k 0.624 * [taylor]: Taking taylor expansion of 0 in n 0.624 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.624 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.624 * [taylor]: Taking taylor expansion of +nan.0 in n 0.624 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.624 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.624 * [taylor]: Taking taylor expansion of 0.5 in n 0.624 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.625 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.625 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.625 * [taylor]: Taking taylor expansion of 2.0 in n 0.625 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.625 * [taylor]: Taking taylor expansion of PI in n 0.625 * [taylor]: Taking taylor expansion of n in n 0.626 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.626 * [taylor]: Taking taylor expansion of 1.0 in n 0.626 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.626 * [taylor]: Taking taylor expansion of k in n 0.635 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.635 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.635 * [taylor]: Taking taylor expansion of +nan.0 in n 0.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.635 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.635 * [taylor]: Taking taylor expansion of 0.5 in n 0.635 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.635 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.635 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.635 * [taylor]: Taking taylor expansion of 2.0 in n 0.635 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.635 * [taylor]: Taking taylor expansion of PI in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.636 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.636 * [taylor]: Taking taylor expansion of 1.0 in n 0.636 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.636 * [taylor]: Taking taylor expansion of k in n 0.657 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.657 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.657 * [taylor]: Taking taylor expansion of +nan.0 in n 0.657 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.657 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.657 * [taylor]: Taking taylor expansion of 0.5 in n 0.657 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.657 * [taylor]: Taking taylor expansion of 2.0 in n 0.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.658 * [taylor]: Taking taylor expansion of PI in n 0.658 * [taylor]: Taking taylor expansion of n in n 0.659 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.659 * [taylor]: Taking taylor expansion of 1.0 in n 0.659 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.659 * [taylor]: Taking taylor expansion of k in n 0.667 * [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 0.668 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.668 * [taylor]: Taking taylor expansion of 1.0 in n 0.668 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.668 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.668 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.668 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.668 * [taylor]: Taking taylor expansion of 0.5 in n 0.668 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.668 * [taylor]: Taking taylor expansion of k in n 0.668 * [taylor]: Taking taylor expansion of 1.0 in n 0.668 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.668 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.668 * [taylor]: Taking taylor expansion of -2.0 in n 0.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.668 * [taylor]: Taking taylor expansion of PI in n 0.668 * [taylor]: Taking taylor expansion of n in n 0.672 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.672 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.672 * [taylor]: Taking taylor expansion of -1 in n 0.672 * [taylor]: Taking taylor expansion of k in n 0.672 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.673 * [taylor]: Taking taylor expansion of 1.0 in k 0.673 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.673 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.673 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.673 * [taylor]: Taking taylor expansion of 0.5 in k 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.673 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.673 * [taylor]: Taking taylor expansion of k in k 0.673 * [taylor]: Taking taylor expansion of 1.0 in k 0.673 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.673 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.673 * [taylor]: Taking taylor expansion of -2.0 in k 0.673 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.673 * [taylor]: Taking taylor expansion of PI in k 0.673 * [taylor]: Taking taylor expansion of n in k 0.674 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.674 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.674 * [taylor]: Taking taylor expansion of -1 in k 0.674 * [taylor]: Taking taylor expansion of k in k 0.675 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.675 * [taylor]: Taking taylor expansion of 1.0 in k 0.675 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.675 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.675 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.675 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.675 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.675 * [taylor]: Taking taylor expansion of 0.5 in k 0.675 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.676 * [taylor]: Taking taylor expansion of k in k 0.676 * [taylor]: Taking taylor expansion of 1.0 in k 0.676 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.676 * [taylor]: Taking taylor expansion of -2.0 in k 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.676 * [taylor]: Taking taylor expansion of PI in k 0.676 * [taylor]: Taking taylor expansion of n in k 0.677 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.677 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.677 * [taylor]: Taking taylor expansion of -1 in k 0.677 * [taylor]: Taking taylor expansion of k in k 0.678 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.678 * [taylor]: Taking taylor expansion of +nan.0 in n 0.678 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.678 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.678 * [taylor]: Taking taylor expansion of 0.5 in n 0.678 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.678 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.678 * [taylor]: Taking taylor expansion of k in n 0.679 * [taylor]: Taking taylor expansion of 1.0 in n 0.679 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.679 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.679 * [taylor]: Taking taylor expansion of -2.0 in n 0.679 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.679 * [taylor]: Taking taylor expansion of PI in n 0.679 * [taylor]: Taking taylor expansion of n in n 0.688 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.688 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.688 * [taylor]: Taking taylor expansion of +nan.0 in n 0.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.688 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.688 * [taylor]: Taking taylor expansion of 0.5 in n 0.688 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.688 * [taylor]: Taking taylor expansion of k in n 0.688 * [taylor]: Taking taylor expansion of 1.0 in n 0.688 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.688 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.688 * [taylor]: Taking taylor expansion of -2.0 in n 0.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.688 * [taylor]: Taking taylor expansion of PI in n 0.688 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.706 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.706 * [taylor]: Taking taylor expansion of +nan.0 in n 0.706 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.706 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.706 * [taylor]: Taking taylor expansion of 0.5 in n 0.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.706 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.706 * [taylor]: Taking taylor expansion of 1.0 in n 0.706 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.706 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.706 * [taylor]: Taking taylor expansion of -2.0 in n 0.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.706 * [taylor]: Taking taylor expansion of PI in n 0.706 * [taylor]: Taking taylor expansion of n in n 0.715 * * * [progress]: simplifying candidates 0.718 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 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) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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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))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +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)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.813 * * * [progress]: adding candidates to table 1.217 * * [progress]: iteration 2 / 4 1.217 * * * [progress]: picking best candidate 1.249 * * * * [pick]: Picked # 1.249 * * * [progress]: localizing error 1.264 * * * [progress]: generating rewritten candidates 1.264 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.280 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.293 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.300 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.317 * * * [progress]: generating series expansions 1.317 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.318 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.318 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.318 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.318 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.318 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.318 * [taylor]: Taking taylor expansion of 0.25 in k 1.318 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.318 * [taylor]: Taking taylor expansion of 1.0 in k 1.318 * [taylor]: Taking taylor expansion of k in k 1.318 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.318 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.318 * [taylor]: Taking taylor expansion of 2.0 in k 1.318 * [taylor]: Taking taylor expansion of (* n PI) in k 1.318 * [taylor]: Taking taylor expansion of n in k 1.318 * [taylor]: Taking taylor expansion of PI in k 1.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.319 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.319 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.319 * [taylor]: Taking taylor expansion of 0.25 in n 1.319 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.319 * [taylor]: Taking taylor expansion of 1.0 in n 1.319 * [taylor]: Taking taylor expansion of k in n 1.319 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.319 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.319 * [taylor]: Taking taylor expansion of 2.0 in n 1.319 * [taylor]: Taking taylor expansion of (* n PI) in n 1.319 * [taylor]: Taking taylor expansion of n in n 1.319 * [taylor]: Taking taylor expansion of PI in n 1.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.326 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.326 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.326 * [taylor]: Taking taylor expansion of 0.25 in n 1.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.326 * [taylor]: Taking taylor expansion of 1.0 in n 1.326 * [taylor]: Taking taylor expansion of k in n 1.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.326 * [taylor]: Taking taylor expansion of 2.0 in n 1.326 * [taylor]: Taking taylor expansion of (* n PI) in n 1.326 * [taylor]: Taking taylor expansion of n in n 1.326 * [taylor]: Taking taylor expansion of PI in n 1.331 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.331 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.331 * [taylor]: Taking taylor expansion of 0.25 in k 1.331 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.331 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.331 * [taylor]: Taking taylor expansion of 1.0 in k 1.331 * [taylor]: Taking taylor expansion of k in k 1.331 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.331 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.331 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.331 * [taylor]: Taking taylor expansion of 2.0 in k 1.331 * [taylor]: Taking taylor expansion of PI in k 1.332 * [taylor]: Taking taylor expansion of (log n) in k 1.332 * [taylor]: Taking taylor expansion of n in k 1.342 * [taylor]: Taking taylor expansion of 0 in k 1.363 * [taylor]: Taking taylor expansion of 0 in k 1.382 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.382 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.382 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.382 * [taylor]: Taking taylor expansion of 0.25 in k 1.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.382 * [taylor]: Taking taylor expansion of 1.0 in k 1.382 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.382 * [taylor]: Taking taylor expansion of k in k 1.382 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.382 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.382 * [taylor]: Taking taylor expansion of 2.0 in k 1.382 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.382 * [taylor]: Taking taylor expansion of PI in k 1.382 * [taylor]: Taking taylor expansion of n in k 1.383 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.383 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.383 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.383 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.383 * [taylor]: Taking taylor expansion of 0.25 in n 1.383 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.383 * [taylor]: Taking taylor expansion of 1.0 in n 1.383 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.383 * [taylor]: Taking taylor expansion of k in n 1.383 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.383 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.383 * [taylor]: Taking taylor expansion of 2.0 in n 1.383 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.383 * [taylor]: Taking taylor expansion of PI in n 1.383 * [taylor]: Taking taylor expansion of n in n 1.387 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.387 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.387 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.387 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.387 * [taylor]: Taking taylor expansion of 0.25 in n 1.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.387 * [taylor]: Taking taylor expansion of 1.0 in n 1.387 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.387 * [taylor]: Taking taylor expansion of k in n 1.387 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.387 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.387 * [taylor]: Taking taylor expansion of 2.0 in n 1.387 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.387 * [taylor]: Taking taylor expansion of PI in n 1.387 * [taylor]: Taking taylor expansion of n in n 1.391 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.391 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.391 * [taylor]: Taking taylor expansion of 0.25 in k 1.391 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.391 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.391 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.391 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.391 * [taylor]: Taking taylor expansion of 2.0 in k 1.391 * [taylor]: Taking taylor expansion of PI in k 1.392 * [taylor]: Taking taylor expansion of (log n) in k 1.392 * [taylor]: Taking taylor expansion of n in k 1.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.392 * [taylor]: Taking taylor expansion of 1.0 in k 1.392 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.392 * [taylor]: Taking taylor expansion of k in k 1.401 * [taylor]: Taking taylor expansion of 0 in k 1.408 * [taylor]: Taking taylor expansion of 0 in k 1.417 * [taylor]: Taking taylor expansion of 0 in k 1.419 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.419 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.419 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.419 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.419 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.419 * [taylor]: Taking taylor expansion of 0.25 in k 1.419 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.419 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.419 * [taylor]: Taking taylor expansion of k in k 1.420 * [taylor]: Taking taylor expansion of 1.0 in k 1.420 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.420 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.420 * [taylor]: Taking taylor expansion of -2.0 in k 1.420 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.420 * [taylor]: Taking taylor expansion of PI in k 1.420 * [taylor]: Taking taylor expansion of n in k 1.421 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.421 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.421 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.421 * [taylor]: Taking taylor expansion of 0.25 in n 1.421 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.421 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.421 * [taylor]: Taking taylor expansion of k in n 1.421 * [taylor]: Taking taylor expansion of 1.0 in n 1.421 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.421 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.421 * [taylor]: Taking taylor expansion of -2.0 in n 1.421 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.421 * [taylor]: Taking taylor expansion of PI in n 1.421 * [taylor]: Taking taylor expansion of n in n 1.425 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.425 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.425 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.425 * [taylor]: Taking taylor expansion of 0.25 in n 1.425 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.425 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.425 * [taylor]: Taking taylor expansion of k in n 1.425 * [taylor]: Taking taylor expansion of 1.0 in n 1.425 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.425 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.425 * [taylor]: Taking taylor expansion of -2.0 in n 1.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.425 * [taylor]: Taking taylor expansion of PI in n 1.425 * [taylor]: Taking taylor expansion of n in n 1.429 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.429 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.429 * [taylor]: Taking taylor expansion of 0.25 in k 1.429 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.429 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.429 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.429 * [taylor]: Taking taylor expansion of k in k 1.429 * [taylor]: Taking taylor expansion of 1.0 in k 1.429 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.429 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.429 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.429 * [taylor]: Taking taylor expansion of -2.0 in k 1.429 * [taylor]: Taking taylor expansion of PI in k 1.430 * [taylor]: Taking taylor expansion of (log n) in k 1.430 * [taylor]: Taking taylor expansion of n in k 1.439 * [taylor]: Taking taylor expansion of 0 in k 1.451 * [taylor]: Taking taylor expansion of 0 in k 1.460 * [taylor]: Taking taylor expansion of 0 in k 1.461 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.461 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.461 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.461 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.461 * [taylor]: Taking taylor expansion of 0.25 in k 1.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.461 * [taylor]: Taking taylor expansion of 1.0 in k 1.461 * [taylor]: Taking taylor expansion of k in k 1.461 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.461 * [taylor]: Taking taylor expansion of 2.0 in k 1.461 * [taylor]: Taking taylor expansion of (* n PI) in k 1.462 * [taylor]: Taking taylor expansion of n in k 1.462 * [taylor]: Taking taylor expansion of PI in k 1.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.462 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.463 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.463 * [taylor]: Taking taylor expansion of 0.25 in n 1.463 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.463 * [taylor]: Taking taylor expansion of 1.0 in n 1.463 * [taylor]: Taking taylor expansion of k in n 1.463 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.463 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.463 * [taylor]: Taking taylor expansion of 2.0 in n 1.463 * [taylor]: Taking taylor expansion of (* n PI) in n 1.463 * [taylor]: Taking taylor expansion of n in n 1.463 * [taylor]: Taking taylor expansion of PI in n 1.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.468 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.468 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.468 * [taylor]: Taking taylor expansion of 0.25 in n 1.468 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.468 * [taylor]: Taking taylor expansion of 1.0 in n 1.468 * [taylor]: Taking taylor expansion of k in n 1.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.468 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.468 * [taylor]: Taking taylor expansion of 2.0 in n 1.468 * [taylor]: Taking taylor expansion of (* n PI) in n 1.468 * [taylor]: Taking taylor expansion of n in n 1.468 * [taylor]: Taking taylor expansion of PI in n 1.474 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.474 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.474 * [taylor]: Taking taylor expansion of 0.25 in k 1.474 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.474 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.474 * [taylor]: Taking taylor expansion of 1.0 in k 1.474 * [taylor]: Taking taylor expansion of k in k 1.474 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.474 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.474 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.474 * [taylor]: Taking taylor expansion of 2.0 in k 1.474 * [taylor]: Taking taylor expansion of PI in k 1.475 * [taylor]: Taking taylor expansion of (log n) in k 1.475 * [taylor]: Taking taylor expansion of n in k 1.484 * [taylor]: Taking taylor expansion of 0 in k 1.499 * [taylor]: Taking taylor expansion of 0 in k 1.518 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.518 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.518 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.518 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.518 * [taylor]: Taking taylor expansion of 0.25 in k 1.518 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.518 * [taylor]: Taking taylor expansion of 1.0 in k 1.519 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.519 * [taylor]: Taking taylor expansion of k in k 1.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.519 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.519 * [taylor]: Taking taylor expansion of 2.0 in k 1.519 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.519 * [taylor]: Taking taylor expansion of PI in k 1.519 * [taylor]: Taking taylor expansion of n in k 1.520 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.520 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.520 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.520 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.520 * [taylor]: Taking taylor expansion of 0.25 in n 1.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.520 * [taylor]: Taking taylor expansion of 1.0 in n 1.520 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.520 * [taylor]: Taking taylor expansion of k in n 1.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.520 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.520 * [taylor]: Taking taylor expansion of 2.0 in n 1.520 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.520 * [taylor]: Taking taylor expansion of PI in n 1.520 * [taylor]: Taking taylor expansion of n in n 1.524 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.524 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.524 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.524 * [taylor]: Taking taylor expansion of 0.25 in n 1.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.524 * [taylor]: Taking taylor expansion of 1.0 in n 1.524 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.524 * [taylor]: Taking taylor expansion of k in n 1.524 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.524 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.524 * [taylor]: Taking taylor expansion of 2.0 in n 1.524 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.524 * [taylor]: Taking taylor expansion of PI in n 1.524 * [taylor]: Taking taylor expansion of n in n 1.528 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.528 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.528 * [taylor]: Taking taylor expansion of 0.25 in k 1.528 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.528 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.528 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.528 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.528 * [taylor]: Taking taylor expansion of 2.0 in k 1.528 * [taylor]: Taking taylor expansion of PI in k 1.529 * [taylor]: Taking taylor expansion of (log n) in k 1.529 * [taylor]: Taking taylor expansion of n in k 1.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.529 * [taylor]: Taking taylor expansion of 1.0 in k 1.529 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.529 * [taylor]: Taking taylor expansion of k in k 1.544 * [taylor]: Taking taylor expansion of 0 in k 1.551 * [taylor]: Taking taylor expansion of 0 in k 1.560 * [taylor]: Taking taylor expansion of 0 in k 1.562 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.562 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.562 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.562 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.562 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.562 * [taylor]: Taking taylor expansion of 0.25 in k 1.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.562 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.562 * [taylor]: Taking taylor expansion of k in k 1.562 * [taylor]: Taking taylor expansion of 1.0 in k 1.562 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.562 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.562 * [taylor]: Taking taylor expansion of -2.0 in k 1.562 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.562 * [taylor]: Taking taylor expansion of PI in k 1.562 * [taylor]: Taking taylor expansion of n in k 1.563 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.563 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.563 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.563 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.563 * [taylor]: Taking taylor expansion of 0.25 in n 1.563 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.563 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.563 * [taylor]: Taking taylor expansion of k in n 1.563 * [taylor]: Taking taylor expansion of 1.0 in n 1.563 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.563 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.563 * [taylor]: Taking taylor expansion of -2.0 in n 1.563 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.563 * [taylor]: Taking taylor expansion of PI in n 1.563 * [taylor]: Taking taylor expansion of n in n 1.567 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.567 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.567 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.567 * [taylor]: Taking taylor expansion of 0.25 in n 1.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.567 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.567 * [taylor]: Taking taylor expansion of k in n 1.567 * [taylor]: Taking taylor expansion of 1.0 in n 1.567 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.567 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.567 * [taylor]: Taking taylor expansion of -2.0 in n 1.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.567 * [taylor]: Taking taylor expansion of PI in n 1.567 * [taylor]: Taking taylor expansion of n in n 1.571 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.571 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.571 * [taylor]: Taking taylor expansion of 0.25 in k 1.571 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.571 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.571 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.571 * [taylor]: Taking taylor expansion of k in k 1.571 * [taylor]: Taking taylor expansion of 1.0 in k 1.571 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.571 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.571 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.571 * [taylor]: Taking taylor expansion of -2.0 in k 1.571 * [taylor]: Taking taylor expansion of PI in k 1.572 * [taylor]: Taking taylor expansion of (log n) in k 1.572 * [taylor]: Taking taylor expansion of n in k 1.582 * [taylor]: Taking taylor expansion of 0 in k 1.588 * [taylor]: Taking taylor expansion of 0 in k 1.597 * [taylor]: Taking taylor expansion of 0 in k 1.598 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.598 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.598 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.598 * [taylor]: Taking taylor expansion of 2.0 in n 1.598 * [taylor]: Taking taylor expansion of (* n PI) in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.598 * [taylor]: Taking taylor expansion of PI in n 1.598 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.598 * [taylor]: Taking taylor expansion of 2.0 in n 1.598 * [taylor]: Taking taylor expansion of (* n PI) in n 1.598 * [taylor]: Taking taylor expansion of n in n 1.598 * [taylor]: Taking taylor expansion of PI in n 1.610 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.610 * [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 1.611 * [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 1.626 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.626 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.626 * [taylor]: Taking taylor expansion of -2.0 in n 1.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.626 * [taylor]: Taking taylor expansion of PI in n 1.626 * [taylor]: Taking taylor expansion of n in n 1.626 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.626 * [taylor]: Taking taylor expansion of -2.0 in n 1.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.626 * [taylor]: Taking taylor expansion of PI in n 1.626 * [taylor]: Taking taylor expansion of n in n 1.635 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.636 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.636 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.636 * [taylor]: Taking taylor expansion of 2.0 in n 1.636 * [taylor]: Taking taylor expansion of (* n PI) in n 1.636 * [taylor]: Taking taylor expansion of n in n 1.636 * [taylor]: Taking taylor expansion of PI in n 1.636 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.636 * [taylor]: Taking taylor expansion of 2.0 in n 1.636 * [taylor]: Taking taylor expansion of (* n PI) in n 1.636 * [taylor]: Taking taylor expansion of n in n 1.636 * [taylor]: Taking taylor expansion of PI in n 1.648 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.648 * [taylor]: Taking taylor expansion of 2.0 in n 1.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.648 * [taylor]: Taking taylor expansion of PI in n 1.648 * [taylor]: Taking taylor expansion of n in n 1.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.648 * [taylor]: Taking taylor expansion of 2.0 in n 1.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.648 * [taylor]: Taking taylor expansion of PI in n 1.648 * [taylor]: Taking taylor expansion of n in n 1.657 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.657 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.657 * [taylor]: Taking taylor expansion of -2.0 in n 1.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.657 * [taylor]: Taking taylor expansion of PI in n 1.657 * [taylor]: Taking taylor expansion of n in n 1.657 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.657 * [taylor]: Taking taylor expansion of -2.0 in n 1.657 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.657 * [taylor]: Taking taylor expansion of PI in n 1.657 * [taylor]: Taking taylor expansion of n in n 1.666 * * * [progress]: simplifying candidates 1.669 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* 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2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.738 * * * [progress]: adding candidates to table 2.385 * * [progress]: iteration 3 / 4 2.385 * * * [progress]: picking best candidate 2.420 * * * * [pick]: Picked # 2.420 * * * [progress]: localizing error 2.434 * * * [progress]: generating rewritten candidates 2.434 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.443 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.450 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.452 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.460 * * * [progress]: generating series expansions 2.460 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.460 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.460 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.461 * [taylor]: Taking taylor expansion of 0.5 in k 2.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.461 * [taylor]: Taking taylor expansion of 1.0 in k 2.461 * [taylor]: Taking taylor expansion of k in k 2.461 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.461 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.461 * [taylor]: Taking taylor expansion of 2.0 in k 2.461 * [taylor]: Taking taylor expansion of (* n PI) in k 2.461 * [taylor]: Taking taylor expansion of n in k 2.461 * [taylor]: Taking taylor expansion of PI in k 2.462 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.462 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.462 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.462 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.462 * [taylor]: Taking taylor expansion of 0.5 in n 2.462 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.462 * [taylor]: Taking taylor expansion of 1.0 in n 2.462 * [taylor]: Taking taylor expansion of k in n 2.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.462 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.462 * [taylor]: Taking taylor expansion of 2.0 in n 2.462 * [taylor]: Taking taylor expansion of (* n PI) in n 2.462 * [taylor]: Taking taylor expansion of n in n 2.462 * [taylor]: Taking taylor expansion of PI in n 2.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.467 * [taylor]: Taking taylor expansion of 0.5 in n 2.467 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.467 * [taylor]: Taking taylor expansion of 1.0 in n 2.467 * [taylor]: Taking taylor expansion of k in n 2.467 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.467 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.467 * [taylor]: Taking taylor expansion of 2.0 in n 2.467 * [taylor]: Taking taylor expansion of (* n PI) in n 2.467 * [taylor]: Taking taylor expansion of n in n 2.467 * [taylor]: Taking taylor expansion of PI in n 2.473 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.473 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.473 * [taylor]: Taking taylor expansion of 0.5 in k 2.473 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.473 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.473 * [taylor]: Taking taylor expansion of 1.0 in k 2.473 * [taylor]: Taking taylor expansion of k in k 2.473 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.473 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.473 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.473 * [taylor]: Taking taylor expansion of 2.0 in k 2.473 * [taylor]: Taking taylor expansion of PI in k 2.474 * [taylor]: Taking taylor expansion of (log n) in k 2.474 * [taylor]: Taking taylor expansion of n in k 2.488 * [taylor]: Taking taylor expansion of 0 in k 2.504 * [taylor]: Taking taylor expansion of 0 in k 2.523 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.523 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.523 * [taylor]: Taking taylor expansion of 0.5 in k 2.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.523 * [taylor]: Taking taylor expansion of 1.0 in k 2.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.523 * [taylor]: Taking taylor expansion of k in k 2.523 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.523 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.523 * [taylor]: Taking taylor expansion of 2.0 in k 2.523 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.523 * [taylor]: Taking taylor expansion of PI in k 2.523 * [taylor]: Taking taylor expansion of n in k 2.524 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.524 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.524 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.524 * [taylor]: Taking taylor expansion of 0.5 in n 2.524 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.525 * [taylor]: Taking taylor expansion of 1.0 in n 2.525 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.525 * [taylor]: Taking taylor expansion of k in n 2.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.525 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.525 * [taylor]: Taking taylor expansion of 2.0 in n 2.525 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.525 * [taylor]: Taking taylor expansion of PI in n 2.525 * [taylor]: Taking taylor expansion of n in n 2.528 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.528 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.528 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.528 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.528 * [taylor]: Taking taylor expansion of 0.5 in n 2.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.528 * [taylor]: Taking taylor expansion of 1.0 in n 2.528 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.528 * [taylor]: Taking taylor expansion of k in n 2.528 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.528 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.529 * [taylor]: Taking taylor expansion of 2.0 in n 2.529 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.529 * [taylor]: Taking taylor expansion of PI in n 2.529 * [taylor]: Taking taylor expansion of n in n 2.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.532 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.532 * [taylor]: Taking taylor expansion of 0.5 in k 2.532 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.532 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.532 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.532 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.532 * [taylor]: Taking taylor expansion of 2.0 in k 2.532 * [taylor]: Taking taylor expansion of PI in k 2.533 * [taylor]: Taking taylor expansion of (log n) in k 2.533 * [taylor]: Taking taylor expansion of n in k 2.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.533 * [taylor]: Taking taylor expansion of 1.0 in k 2.533 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.533 * [taylor]: Taking taylor expansion of k in k 2.543 * [taylor]: Taking taylor expansion of 0 in k 2.550 * [taylor]: Taking taylor expansion of 0 in k 2.559 * [taylor]: Taking taylor expansion of 0 in k 2.567 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.567 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.567 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.567 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.567 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.567 * [taylor]: Taking taylor expansion of 0.5 in k 2.567 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.567 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.567 * [taylor]: Taking taylor expansion of k in k 2.567 * [taylor]: Taking taylor expansion of 1.0 in k 2.567 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.567 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.567 * [taylor]: Taking taylor expansion of -2.0 in k 2.567 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.567 * [taylor]: Taking taylor expansion of PI in k 2.567 * [taylor]: Taking taylor expansion of n in k 2.568 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.568 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.568 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.568 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.568 * [taylor]: Taking taylor expansion of 0.5 in n 2.568 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.568 * [taylor]: Taking taylor expansion of k in n 2.568 * [taylor]: Taking taylor expansion of 1.0 in n 2.568 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.568 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.568 * [taylor]: Taking taylor expansion of -2.0 in n 2.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.568 * [taylor]: Taking taylor expansion of PI in n 2.568 * [taylor]: Taking taylor expansion of n in n 2.572 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.572 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.572 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.572 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.572 * [taylor]: Taking taylor expansion of 0.5 in n 2.572 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.572 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.572 * [taylor]: Taking taylor expansion of k in n 2.572 * [taylor]: Taking taylor expansion of 1.0 in n 2.572 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.572 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.572 * [taylor]: Taking taylor expansion of -2.0 in n 2.572 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.572 * [taylor]: Taking taylor expansion of PI in n 2.572 * [taylor]: Taking taylor expansion of n in n 2.576 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.576 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.576 * [taylor]: Taking taylor expansion of 0.5 in k 2.576 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.576 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.576 * [taylor]: Taking taylor expansion of k in k 2.576 * [taylor]: Taking taylor expansion of 1.0 in k 2.576 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.576 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.576 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.576 * [taylor]: Taking taylor expansion of -2.0 in k 2.576 * [taylor]: Taking taylor expansion of PI in k 2.577 * [taylor]: Taking taylor expansion of (log n) in k 2.577 * [taylor]: Taking taylor expansion of n in k 2.586 * [taylor]: Taking taylor expansion of 0 in k 2.593 * [taylor]: Taking taylor expansion of 0 in k 2.602 * [taylor]: Taking taylor expansion of 0 in k 2.603 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.603 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.604 * [taylor]: Taking taylor expansion of 2.0 in n 2.604 * [taylor]: Taking taylor expansion of (* n PI) in n 2.604 * [taylor]: Taking taylor expansion of n in n 2.604 * [taylor]: Taking taylor expansion of PI in n 2.604 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.604 * [taylor]: Taking taylor expansion of 2.0 in n 2.604 * [taylor]: Taking taylor expansion of (* n PI) in n 2.604 * [taylor]: Taking taylor expansion of n in n 2.604 * [taylor]: Taking taylor expansion of PI in n 2.616 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.616 * [taylor]: Taking taylor expansion of 2.0 in n 2.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.616 * [taylor]: Taking taylor expansion of PI in n 2.616 * [taylor]: Taking taylor expansion of n in n 2.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.616 * [taylor]: Taking taylor expansion of 2.0 in n 2.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.617 * [taylor]: Taking taylor expansion of PI in n 2.617 * [taylor]: Taking taylor expansion of n in n 2.625 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.625 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.625 * [taylor]: Taking taylor expansion of -2.0 in n 2.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.626 * [taylor]: Taking taylor expansion of PI in n 2.626 * [taylor]: Taking taylor expansion of n in n 2.626 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.626 * [taylor]: Taking taylor expansion of -2.0 in n 2.626 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.626 * [taylor]: Taking taylor expansion of PI in n 2.626 * [taylor]: Taking taylor expansion of n in n 2.634 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.634 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.635 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.635 * [taylor]: Taking taylor expansion of 1.0 in k 2.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.635 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.635 * [taylor]: Taking taylor expansion of k in k 2.636 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.636 * [taylor]: Taking taylor expansion of 1.0 in k 2.636 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.636 * [taylor]: Taking taylor expansion of k in k 2.653 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.653 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.653 * [taylor]: Taking taylor expansion of 1.0 in k 2.653 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.653 * [taylor]: Taking taylor expansion of k in k 2.654 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.654 * [taylor]: Taking taylor expansion of 1.0 in k 2.654 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.654 * [taylor]: Taking taylor expansion of k in k 2.665 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.665 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.665 * [taylor]: Taking taylor expansion of 1.0 in k 2.665 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.665 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.665 * [taylor]: Taking taylor expansion of -1 in k 2.665 * [taylor]: Taking taylor expansion of k in k 2.666 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.666 * [taylor]: Taking taylor expansion of 1.0 in k 2.666 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.666 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.666 * [taylor]: Taking taylor expansion of -1 in k 2.667 * [taylor]: Taking taylor expansion of k in k 2.678 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.678 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.678 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.678 * [taylor]: Taking taylor expansion of 1.0 in k 2.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.678 * [taylor]: Taking taylor expansion of k in k 2.679 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.679 * [taylor]: Taking taylor expansion of 1.0 in k 2.679 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.679 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.679 * [taylor]: Taking taylor expansion of k in k 2.691 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.691 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.691 * [taylor]: Taking taylor expansion of 1.0 in k 2.691 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.691 * [taylor]: Taking taylor expansion of k in k 2.692 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.692 * [taylor]: Taking taylor expansion of 1.0 in k 2.692 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.692 * [taylor]: Taking taylor expansion of k in k 2.702 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.702 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.702 * [taylor]: Taking taylor expansion of 1.0 in k 2.702 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.702 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.702 * [taylor]: Taking taylor expansion of -1 in k 2.702 * [taylor]: Taking taylor expansion of k in k 2.704 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.704 * [taylor]: Taking taylor expansion of 1.0 in k 2.704 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.704 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.704 * [taylor]: Taking taylor expansion of -1 in k 2.704 * [taylor]: Taking taylor expansion of k in k 2.715 * * * [progress]: simplifying candidates 2.717 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 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) (- (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) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 2.724 * * [simplify]: iteration 0 : 563 enodes (cost 883 ) 2.734 * * [simplify]: iteration 1 : 2197 enodes (cost 815 ) 2.771 * * [simplify]: iteration 2 : 5001 enodes (cost 791 ) 2.775 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (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))) (* (* 2.0 PI) n) (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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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 (* (* 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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (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)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 2.776 * * * [progress]: adding candidates to table 3.195 * * [progress]: iteration 4 / 4 3.195 * * * [progress]: picking best candidate 3.227 * * * * [pick]: Picked # 3.227 * * * [progress]: localizing error 3.244 * * * [progress]: generating rewritten candidates 3.245 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.261 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 3.275 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.292 * * * [progress]: generating series expansions 3.292 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.293 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.293 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.293 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.293 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.293 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.293 * [taylor]: Taking taylor expansion of 0.25 in k 3.293 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.293 * [taylor]: Taking taylor expansion of 1.0 in k 3.293 * [taylor]: Taking taylor expansion of k in k 3.293 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.293 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.293 * [taylor]: Taking taylor expansion of 2.0 in k 3.294 * [taylor]: Taking taylor expansion of (* n PI) in k 3.294 * [taylor]: Taking taylor expansion of n in k 3.294 * [taylor]: Taking taylor expansion of PI in k 3.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.295 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.295 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.295 * [taylor]: Taking taylor expansion of 0.25 in n 3.295 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.295 * [taylor]: Taking taylor expansion of 1.0 in n 3.295 * [taylor]: Taking taylor expansion of k in n 3.295 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.295 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.295 * [taylor]: Taking taylor expansion of 2.0 in n 3.295 * [taylor]: Taking taylor expansion of (* n PI) in n 3.295 * [taylor]: Taking taylor expansion of n in n 3.295 * [taylor]: Taking taylor expansion of PI in n 3.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.301 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.301 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.301 * [taylor]: Taking taylor expansion of 0.25 in n 3.301 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.301 * [taylor]: Taking taylor expansion of 1.0 in n 3.301 * [taylor]: Taking taylor expansion of k in n 3.301 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.301 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.301 * [taylor]: Taking taylor expansion of 2.0 in n 3.301 * [taylor]: Taking taylor expansion of (* n PI) in n 3.301 * [taylor]: Taking taylor expansion of n in n 3.301 * [taylor]: Taking taylor expansion of PI in n 3.306 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.306 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.306 * [taylor]: Taking taylor expansion of 0.25 in k 3.306 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.306 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.306 * [taylor]: Taking taylor expansion of 1.0 in k 3.306 * [taylor]: Taking taylor expansion of k in k 3.306 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.306 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.306 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.306 * [taylor]: Taking taylor expansion of 2.0 in k 3.306 * [taylor]: Taking taylor expansion of PI in k 3.307 * [taylor]: Taking taylor expansion of (log n) in k 3.307 * [taylor]: Taking taylor expansion of n in k 3.317 * [taylor]: Taking taylor expansion of 0 in k 3.339 * [taylor]: Taking taylor expansion of 0 in k 3.358 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.358 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.358 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.358 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.358 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.358 * [taylor]: Taking taylor expansion of 0.25 in k 3.358 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.358 * [taylor]: Taking taylor expansion of 1.0 in k 3.358 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.358 * [taylor]: Taking taylor expansion of k in k 3.358 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.358 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.358 * [taylor]: Taking taylor expansion of 2.0 in k 3.358 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.358 * [taylor]: Taking taylor expansion of PI in k 3.358 * [taylor]: Taking taylor expansion of n in k 3.359 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.359 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.359 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.359 * [taylor]: Taking taylor expansion of 0.25 in n 3.359 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.359 * [taylor]: Taking taylor expansion of 1.0 in n 3.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.359 * [taylor]: Taking taylor expansion of k in n 3.359 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.359 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.359 * [taylor]: Taking taylor expansion of 2.0 in n 3.359 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.359 * [taylor]: Taking taylor expansion of PI in n 3.359 * [taylor]: Taking taylor expansion of n in n 3.363 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.363 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.363 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.363 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.363 * [taylor]: Taking taylor expansion of 0.25 in n 3.363 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.363 * [taylor]: Taking taylor expansion of 1.0 in n 3.363 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.363 * [taylor]: Taking taylor expansion of k in n 3.363 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.363 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.363 * [taylor]: Taking taylor expansion of 2.0 in n 3.363 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.363 * [taylor]: Taking taylor expansion of PI in n 3.363 * [taylor]: Taking taylor expansion of n in n 3.367 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.367 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.367 * [taylor]: Taking taylor expansion of 0.25 in k 3.367 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.367 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.367 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.367 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.367 * [taylor]: Taking taylor expansion of 2.0 in k 3.367 * [taylor]: Taking taylor expansion of PI in k 3.368 * [taylor]: Taking taylor expansion of (log n) in k 3.368 * [taylor]: Taking taylor expansion of n in k 3.368 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.368 * [taylor]: Taking taylor expansion of 1.0 in k 3.368 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.368 * [taylor]: Taking taylor expansion of k in k 3.378 * [taylor]: Taking taylor expansion of 0 in k 3.385 * [taylor]: Taking taylor expansion of 0 in k 3.394 * [taylor]: Taking taylor expansion of 0 in k 3.395 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.395 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.395 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.396 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.396 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.396 * [taylor]: Taking taylor expansion of 0.25 in k 3.396 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.396 * [taylor]: Taking taylor expansion of k in k 3.396 * [taylor]: Taking taylor expansion of 1.0 in k 3.396 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.396 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.396 * [taylor]: Taking taylor expansion of -2.0 in k 3.396 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.396 * [taylor]: Taking taylor expansion of PI in k 3.396 * [taylor]: Taking taylor expansion of n in k 3.397 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.397 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.397 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.397 * [taylor]: Taking taylor expansion of 0.25 in n 3.397 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.397 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.397 * [taylor]: Taking taylor expansion of k in n 3.397 * [taylor]: Taking taylor expansion of 1.0 in n 3.397 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.397 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.397 * [taylor]: Taking taylor expansion of -2.0 in n 3.397 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.397 * [taylor]: Taking taylor expansion of PI in n 3.397 * [taylor]: Taking taylor expansion of n in n 3.401 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.401 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.401 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.401 * [taylor]: Taking taylor expansion of 0.25 in n 3.401 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.401 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.401 * [taylor]: Taking taylor expansion of k in n 3.401 * [taylor]: Taking taylor expansion of 1.0 in n 3.401 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.401 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.401 * [taylor]: Taking taylor expansion of -2.0 in n 3.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.401 * [taylor]: Taking taylor expansion of PI in n 3.401 * [taylor]: Taking taylor expansion of n in n 3.405 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.405 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.405 * [taylor]: Taking taylor expansion of 0.25 in k 3.405 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.405 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.405 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.405 * [taylor]: Taking taylor expansion of k in k 3.405 * [taylor]: Taking taylor expansion of 1.0 in k 3.405 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.405 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.405 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.405 * [taylor]: Taking taylor expansion of -2.0 in k 3.405 * [taylor]: Taking taylor expansion of PI in k 3.406 * [taylor]: Taking taylor expansion of (log n) in k 3.406 * [taylor]: Taking taylor expansion of n in k 3.553 * [taylor]: Taking taylor expansion of 0 in k 3.559 * [taylor]: Taking taylor expansion of 0 in k 3.569 * [taylor]: Taking taylor expansion of 0 in k 3.570 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 3.570 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.570 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.570 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.570 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.570 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.570 * [taylor]: Taking taylor expansion of 0.25 in k 3.570 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.570 * [taylor]: Taking taylor expansion of 1.0 in k 3.570 * [taylor]: Taking taylor expansion of k in k 3.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.570 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.570 * [taylor]: Taking taylor expansion of 2.0 in k 3.570 * [taylor]: Taking taylor expansion of (* n PI) in k 3.570 * [taylor]: Taking taylor expansion of n in k 3.570 * [taylor]: Taking taylor expansion of PI in k 3.571 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.571 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.571 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.571 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.571 * [taylor]: Taking taylor expansion of 0.25 in n 3.572 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.572 * [taylor]: Taking taylor expansion of 1.0 in n 3.572 * [taylor]: Taking taylor expansion of k in n 3.572 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.572 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.572 * [taylor]: Taking taylor expansion of 2.0 in n 3.572 * [taylor]: Taking taylor expansion of (* n PI) in n 3.572 * [taylor]: Taking taylor expansion of n in n 3.572 * [taylor]: Taking taylor expansion of PI in n 3.577 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.577 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.577 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.577 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.577 * [taylor]: Taking taylor expansion of 0.25 in n 3.577 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.577 * [taylor]: Taking taylor expansion of 1.0 in n 3.577 * [taylor]: Taking taylor expansion of k in n 3.577 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.577 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.577 * [taylor]: Taking taylor expansion of 2.0 in n 3.577 * [taylor]: Taking taylor expansion of (* n PI) in n 3.577 * [taylor]: Taking taylor expansion of n in n 3.577 * [taylor]: Taking taylor expansion of PI in n 3.582 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.582 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.582 * [taylor]: Taking taylor expansion of 0.25 in k 3.582 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.582 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.583 * [taylor]: Taking taylor expansion of 1.0 in k 3.583 * [taylor]: Taking taylor expansion of k in k 3.583 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.583 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.583 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.583 * [taylor]: Taking taylor expansion of 2.0 in k 3.583 * [taylor]: Taking taylor expansion of PI in k 3.584 * [taylor]: Taking taylor expansion of (log n) in k 3.584 * [taylor]: Taking taylor expansion of n in k 3.593 * [taylor]: Taking taylor expansion of 0 in k 3.609 * [taylor]: Taking taylor expansion of 0 in k 3.627 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.627 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.627 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.627 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.627 * [taylor]: Taking taylor expansion of 0.25 in k 3.627 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.627 * [taylor]: Taking taylor expansion of 1.0 in k 3.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.627 * [taylor]: Taking taylor expansion of k in k 3.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.628 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.628 * [taylor]: Taking taylor expansion of 2.0 in k 3.628 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.628 * [taylor]: Taking taylor expansion of PI in k 3.628 * [taylor]: Taking taylor expansion of n in k 3.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.629 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.629 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.629 * [taylor]: Taking taylor expansion of 0.25 in n 3.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.629 * [taylor]: Taking taylor expansion of 1.0 in n 3.629 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.629 * [taylor]: Taking taylor expansion of k in n 3.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.629 * [taylor]: Taking taylor expansion of 2.0 in n 3.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.629 * [taylor]: Taking taylor expansion of PI in n 3.629 * [taylor]: Taking taylor expansion of n in n 3.636 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.636 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.637 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.637 * [taylor]: Taking taylor expansion of 0.25 in n 3.637 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.637 * [taylor]: Taking taylor expansion of 1.0 in n 3.637 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.637 * [taylor]: Taking taylor expansion of k in n 3.637 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.637 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.637 * [taylor]: Taking taylor expansion of 2.0 in n 3.637 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.637 * [taylor]: Taking taylor expansion of PI in n 3.637 * [taylor]: Taking taylor expansion of n in n 3.640 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.640 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.640 * [taylor]: Taking taylor expansion of 0.25 in k 3.640 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.640 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.641 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.641 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.641 * [taylor]: Taking taylor expansion of 2.0 in k 3.641 * [taylor]: Taking taylor expansion of PI in k 3.641 * [taylor]: Taking taylor expansion of (log n) in k 3.642 * [taylor]: Taking taylor expansion of n in k 3.642 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.642 * [taylor]: Taking taylor expansion of 1.0 in k 3.642 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.642 * [taylor]: Taking taylor expansion of k in k 3.651 * [taylor]: Taking taylor expansion of 0 in k 3.658 * [taylor]: Taking taylor expansion of 0 in k 3.667 * [taylor]: Taking taylor expansion of 0 in k 3.668 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.668 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.669 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.669 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.669 * [taylor]: Taking taylor expansion of 0.25 in k 3.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.669 * [taylor]: Taking taylor expansion of k in k 3.669 * [taylor]: Taking taylor expansion of 1.0 in k 3.669 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.669 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.669 * [taylor]: Taking taylor expansion of -2.0 in k 3.669 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.669 * [taylor]: Taking taylor expansion of PI in k 3.669 * [taylor]: Taking taylor expansion of n in k 3.670 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.670 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.670 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.670 * [taylor]: Taking taylor expansion of 0.25 in n 3.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.670 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.670 * [taylor]: Taking taylor expansion of k in n 3.670 * [taylor]: Taking taylor expansion of 1.0 in n 3.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.670 * [taylor]: Taking taylor expansion of -2.0 in n 3.670 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.670 * [taylor]: Taking taylor expansion of PI in n 3.670 * [taylor]: Taking taylor expansion of n in n 3.674 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.674 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.674 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.674 * [taylor]: Taking taylor expansion of 0.25 in n 3.674 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.674 * [taylor]: Taking taylor expansion of k in n 3.674 * [taylor]: Taking taylor expansion of 1.0 in n 3.674 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.674 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.674 * [taylor]: Taking taylor expansion of -2.0 in n 3.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.674 * [taylor]: Taking taylor expansion of PI in n 3.674 * [taylor]: Taking taylor expansion of n in n 3.678 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.678 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.678 * [taylor]: Taking taylor expansion of 0.25 in k 3.678 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.678 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.678 * [taylor]: Taking taylor expansion of k in k 3.678 * [taylor]: Taking taylor expansion of 1.0 in k 3.678 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.678 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.678 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.678 * [taylor]: Taking taylor expansion of -2.0 in k 3.678 * [taylor]: Taking taylor expansion of PI in k 3.679 * [taylor]: Taking taylor expansion of (log n) in k 3.679 * [taylor]: Taking taylor expansion of n in k 3.688 * [taylor]: Taking taylor expansion of 0 in k 3.695 * [taylor]: Taking taylor expansion of 0 in k 3.704 * [taylor]: Taking taylor expansion of 0 in k 3.705 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.705 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 3) in (n k) around 0 3.706 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 3) in k 3.706 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.706 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.706 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.706 * [taylor]: Taking taylor expansion of 0.25 in k 3.706 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.706 * [taylor]: Taking taylor expansion of 1.0 in k 3.706 * [taylor]: Taking taylor expansion of k in k 3.706 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.706 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.706 * [taylor]: Taking taylor expansion of 2.0 in k 3.706 * [taylor]: Taking taylor expansion of (* n PI) in k 3.706 * [taylor]: Taking taylor expansion of n in k 3.706 * [taylor]: Taking taylor expansion of PI in k 3.707 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 3) in n 3.707 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.707 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.707 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.707 * [taylor]: Taking taylor expansion of 0.25 in n 3.707 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.707 * [taylor]: Taking taylor expansion of 1.0 in n 3.707 * [taylor]: Taking taylor expansion of k in n 3.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.707 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.707 * [taylor]: Taking taylor expansion of 2.0 in n 3.707 * [taylor]: Taking taylor expansion of (* n PI) in n 3.707 * [taylor]: Taking taylor expansion of n in n 3.707 * [taylor]: Taking taylor expansion of PI in n 3.712 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 3) in n 3.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.712 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.712 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.712 * [taylor]: Taking taylor expansion of 0.25 in n 3.712 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.712 * [taylor]: Taking taylor expansion of 1.0 in n 3.712 * [taylor]: Taking taylor expansion of k in n 3.712 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.712 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.712 * [taylor]: Taking taylor expansion of 2.0 in n 3.712 * [taylor]: Taking taylor expansion of (* n PI) in n 3.713 * [taylor]: Taking taylor expansion of n in n 3.713 * [taylor]: Taking taylor expansion of PI in n 3.724 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 3) in k 3.724 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.724 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.724 * [taylor]: Taking taylor expansion of 0.25 in k 3.724 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.724 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.724 * [taylor]: Taking taylor expansion of 1.0 in k 3.724 * [taylor]: Taking taylor expansion of k in k 3.724 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.724 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.724 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.724 * [taylor]: Taking taylor expansion of 2.0 in k 3.724 * [taylor]: Taking taylor expansion of PI in k 3.725 * [taylor]: Taking taylor expansion of (log n) in k 3.725 * [taylor]: Taking taylor expansion of n in k 3.740 * [taylor]: Taking taylor expansion of 0 in k 3.770 * [taylor]: Taking taylor expansion of 0 in k 3.821 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 3) in (n k) around 0 3.821 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 3) in k 3.821 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.821 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.821 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.821 * [taylor]: Taking taylor expansion of 0.25 in k 3.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.821 * [taylor]: Taking taylor expansion of 1.0 in k 3.821 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.821 * [taylor]: Taking taylor expansion of k in k 3.822 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.822 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.822 * [taylor]: Taking taylor expansion of 2.0 in k 3.822 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.822 * [taylor]: Taking taylor expansion of PI in k 3.822 * [taylor]: Taking taylor expansion of n in k 3.823 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 3) in n 3.823 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.823 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.823 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.823 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.823 * [taylor]: Taking taylor expansion of 0.25 in n 3.823 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.823 * [taylor]: Taking taylor expansion of 1.0 in n 3.823 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.823 * [taylor]: Taking taylor expansion of k in n 3.823 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.823 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.823 * [taylor]: Taking taylor expansion of 2.0 in n 3.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.823 * [taylor]: Taking taylor expansion of PI in n 3.823 * [taylor]: Taking taylor expansion of n in n 3.827 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 3) in n 3.827 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.827 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.827 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.827 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.827 * [taylor]: Taking taylor expansion of 0.25 in n 3.827 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.827 * [taylor]: Taking taylor expansion of 1.0 in n 3.827 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.827 * [taylor]: Taking taylor expansion of k in n 3.827 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.827 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.827 * [taylor]: Taking taylor expansion of 2.0 in n 3.827 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.827 * [taylor]: Taking taylor expansion of PI in n 3.827 * [taylor]: Taking taylor expansion of n in n 3.834 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3) in k 3.834 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.834 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.834 * [taylor]: Taking taylor expansion of 0.25 in k 3.834 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.834 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.834 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.834 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.834 * [taylor]: Taking taylor expansion of 2.0 in k 3.834 * [taylor]: Taking taylor expansion of PI in k 3.835 * [taylor]: Taking taylor expansion of (log n) in k 3.835 * [taylor]: Taking taylor expansion of n in k 3.835 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.835 * [taylor]: Taking taylor expansion of 1.0 in k 3.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.835 * [taylor]: Taking taylor expansion of k in k 3.851 * [taylor]: Taking taylor expansion of 0 in k 3.864 * [taylor]: Taking taylor expansion of 0 in k 3.881 * [taylor]: Taking taylor expansion of 0 in k 3.882 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 3) in (n k) around 0 3.883 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 3) in k 3.883 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.883 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.883 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.883 * [taylor]: Taking taylor expansion of 0.25 in k 3.883 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.883 * [taylor]: Taking taylor expansion of k in k 3.883 * [taylor]: Taking taylor expansion of 1.0 in k 3.883 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.883 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.883 * [taylor]: Taking taylor expansion of -2.0 in k 3.883 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.883 * [taylor]: Taking taylor expansion of PI in k 3.883 * [taylor]: Taking taylor expansion of n in k 3.884 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 3) in n 3.884 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.884 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.884 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.884 * [taylor]: Taking taylor expansion of 0.25 in n 3.884 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.884 * [taylor]: Taking taylor expansion of k in n 3.884 * [taylor]: Taking taylor expansion of 1.0 in n 3.884 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.884 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.884 * [taylor]: Taking taylor expansion of -2.0 in n 3.884 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.884 * [taylor]: Taking taylor expansion of PI in n 3.884 * [taylor]: Taking taylor expansion of n in n 3.891 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 3) in n 3.891 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.891 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.891 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.891 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.891 * [taylor]: Taking taylor expansion of 0.25 in n 3.891 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.891 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.891 * [taylor]: Taking taylor expansion of k in n 3.891 * [taylor]: Taking taylor expansion of 1.0 in n 3.891 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.891 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.891 * [taylor]: Taking taylor expansion of -2.0 in n 3.891 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.891 * [taylor]: Taking taylor expansion of PI in n 3.891 * [taylor]: Taking taylor expansion of n in n 3.898 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3) in k 3.898 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.898 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.898 * [taylor]: Taking taylor expansion of 0.25 in k 3.899 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.899 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.899 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.899 * [taylor]: Taking taylor expansion of k in k 3.899 * [taylor]: Taking taylor expansion of 1.0 in k 3.899 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.899 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.899 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.899 * [taylor]: Taking taylor expansion of -2.0 in k 3.899 * [taylor]: Taking taylor expansion of PI in k 3.900 * [taylor]: Taking taylor expansion of (log n) in k 3.900 * [taylor]: Taking taylor expansion of n in k 3.916 * [taylor]: Taking taylor expansion of 0 in k 3.929 * [taylor]: Taking taylor expansion of 0 in k 3.946 * [taylor]: Taking taylor expansion of 0 in k 3.947 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 3.947 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.947 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.947 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.947 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.947 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.947 * [taylor]: Taking taylor expansion of 0.25 in k 3.947 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.947 * [taylor]: Taking taylor expansion of 1.0 in k 3.947 * [taylor]: Taking taylor expansion of k in k 3.947 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.947 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.948 * [taylor]: Taking taylor expansion of 2.0 in k 3.948 * [taylor]: Taking taylor expansion of (* n PI) in k 3.948 * [taylor]: Taking taylor expansion of n in k 3.948 * [taylor]: Taking taylor expansion of PI in k 3.949 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.949 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.949 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.949 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.949 * [taylor]: Taking taylor expansion of 0.25 in n 3.949 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.949 * [taylor]: Taking taylor expansion of 1.0 in n 3.949 * [taylor]: Taking taylor expansion of k in n 3.949 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.949 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.949 * [taylor]: Taking taylor expansion of 2.0 in n 3.949 * [taylor]: Taking taylor expansion of (* n PI) in n 3.949 * [taylor]: Taking taylor expansion of n in n 3.949 * [taylor]: Taking taylor expansion of PI in n 3.954 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.954 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.954 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.954 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.954 * [taylor]: Taking taylor expansion of 0.25 in n 3.954 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.954 * [taylor]: Taking taylor expansion of 1.0 in n 3.954 * [taylor]: Taking taylor expansion of k in n 3.954 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.954 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.954 * [taylor]: Taking taylor expansion of 2.0 in n 3.954 * [taylor]: Taking taylor expansion of (* n PI) in n 3.954 * [taylor]: Taking taylor expansion of n in n 3.954 * [taylor]: Taking taylor expansion of PI in n 3.960 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.960 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.960 * [taylor]: Taking taylor expansion of 0.25 in k 3.960 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.960 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.960 * [taylor]: Taking taylor expansion of 1.0 in k 3.960 * [taylor]: Taking taylor expansion of k in k 3.960 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.960 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.960 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.960 * [taylor]: Taking taylor expansion of 2.0 in k 3.960 * [taylor]: Taking taylor expansion of PI in k 3.961 * [taylor]: Taking taylor expansion of (log n) in k 3.961 * [taylor]: Taking taylor expansion of n in k 3.971 * [taylor]: Taking taylor expansion of 0 in k 3.990 * [taylor]: Taking taylor expansion of 0 in k 4.008 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 4.009 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 4.009 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.009 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.009 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 4.009 * [taylor]: Taking taylor expansion of 0.25 in k 4.009 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.009 * [taylor]: Taking taylor expansion of 1.0 in k 4.009 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.009 * [taylor]: Taking taylor expansion of k in k 4.009 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.009 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.009 * [taylor]: Taking taylor expansion of 2.0 in k 4.009 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.009 * [taylor]: Taking taylor expansion of PI in k 4.009 * [taylor]: Taking taylor expansion of n in k 4.010 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 4.010 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.010 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.010 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 4.010 * [taylor]: Taking taylor expansion of 0.25 in n 4.010 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.010 * [taylor]: Taking taylor expansion of 1.0 in n 4.010 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.010 * [taylor]: Taking taylor expansion of k in n 4.010 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.010 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.010 * [taylor]: Taking taylor expansion of 2.0 in n 4.010 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.010 * [taylor]: Taking taylor expansion of PI in n 4.010 * [taylor]: Taking taylor expansion of n in n 4.014 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 4.014 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.014 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.014 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 4.014 * [taylor]: Taking taylor expansion of 0.25 in n 4.014 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.014 * [taylor]: Taking taylor expansion of 1.0 in n 4.014 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.014 * [taylor]: Taking taylor expansion of k in n 4.014 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.014 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.014 * [taylor]: Taking taylor expansion of 2.0 in n 4.014 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.014 * [taylor]: Taking taylor expansion of PI in n 4.014 * [taylor]: Taking taylor expansion of n in n 4.018 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.018 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.018 * [taylor]: Taking taylor expansion of 0.25 in k 4.018 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.018 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.018 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.018 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.018 * [taylor]: Taking taylor expansion of 2.0 in k 4.018 * [taylor]: Taking taylor expansion of PI in k 4.019 * [taylor]: Taking taylor expansion of (log n) in k 4.019 * [taylor]: Taking taylor expansion of n in k 4.019 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.019 * [taylor]: Taking taylor expansion of 1.0 in k 4.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.019 * [taylor]: Taking taylor expansion of k in k 4.029 * [taylor]: Taking taylor expansion of 0 in k 4.036 * [taylor]: Taking taylor expansion of 0 in k 4.044 * [taylor]: Taking taylor expansion of 0 in k 4.046 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 4.046 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 4.046 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.046 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.046 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 4.046 * [taylor]: Taking taylor expansion of 0.25 in k 4.046 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.046 * [taylor]: Taking taylor expansion of k in k 4.046 * [taylor]: Taking taylor expansion of 1.0 in k 4.046 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.046 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.046 * [taylor]: Taking taylor expansion of -2.0 in k 4.046 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.046 * [taylor]: Taking taylor expansion of PI in k 4.046 * [taylor]: Taking taylor expansion of n in k 4.047 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 4.047 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.047 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.047 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 4.047 * [taylor]: Taking taylor expansion of 0.25 in n 4.047 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.047 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.047 * [taylor]: Taking taylor expansion of k in n 4.047 * [taylor]: Taking taylor expansion of 1.0 in n 4.047 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.047 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.047 * [taylor]: Taking taylor expansion of -2.0 in n 4.048 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.048 * [taylor]: Taking taylor expansion of PI in n 4.048 * [taylor]: Taking taylor expansion of n in n 4.051 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 4.051 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.051 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.051 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 4.051 * [taylor]: Taking taylor expansion of 0.25 in n 4.051 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.051 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.051 * [taylor]: Taking taylor expansion of k in n 4.051 * [taylor]: Taking taylor expansion of 1.0 in n 4.051 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.051 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.051 * [taylor]: Taking taylor expansion of -2.0 in n 4.051 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.051 * [taylor]: Taking taylor expansion of PI in n 4.051 * [taylor]: Taking taylor expansion of n in n 4.055 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.055 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.055 * [taylor]: Taking taylor expansion of 0.25 in k 4.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.055 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.055 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.055 * [taylor]: Taking taylor expansion of k in k 4.055 * [taylor]: Taking taylor expansion of 1.0 in k 4.055 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.055 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.055 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.055 * [taylor]: Taking taylor expansion of -2.0 in k 4.056 * [taylor]: Taking taylor expansion of PI in k 4.056 * [taylor]: Taking taylor expansion of (log n) in k 4.056 * [taylor]: Taking taylor expansion of n in k 4.070 * [taylor]: Taking taylor expansion of 0 in k 4.077 * [taylor]: Taking taylor expansion of 0 in k 4.086 * [taylor]: Taking taylor expansion of 0 in k 4.087 * * * [progress]: simplifying candidates 4.090 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) 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(log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.102 * * [simplify]: iteration 0 : 830 enodes (cost 2290 ) 4.116 * * [simplify]: iteration 1 : 3454 enodes (cost 2247 ) 4.165 * * [simplify]: iteration 2 : 5002 enodes (cost 2223 ) 4.175 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 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(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2/3) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt 3) (cbrt 3))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 3)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) 1 (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (exp (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) 3) (pow (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) 1 (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (sqrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (sqrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3))) (cbrt (sqrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3))) 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (* 0.28125 (* (pow k 2) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 3) (pow (log n) 2)))) (+ (* 0.5625 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 3) (log n))))) (* 0.28125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 3)))))) (- (pow (pow (* (* 2.0 PI) n) 0.25) 3) (* (* 0.75 k) (+ (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 3)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 3) (log n)))))) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 3) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.177 * * * [progress]: adding candidates to table 4.980 * [progress]: [Phase 3 of 3] Extracting. 4.980 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 4.985 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 4.986 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # # #) 5.035 * * * * [regimes]: Trying to branch on n from (# # # # # # # # # #) 5.084 * * * * [regimes]: Trying to branch on k from (# # # # # # # # # #) 5.133 * * * [regime]: Found split indices: #