18.001 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.075 * * * [progress]: [2/2] Setting up program. 0.078 * [progress]: [Phase 2 of 3] Improving. 0.078 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.081 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.082 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.084 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.086 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.092 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.115 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.116 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.118 * * * * [pick]: Picked # 0.118 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.131 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.150 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.153 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.176 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.177 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.177 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.177 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.177 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.177 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.177 * [taylor]: Taking taylor expansion of 0.5 in k 0.177 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.177 * [taylor]: Taking taylor expansion of 1.0 in k 0.177 * [taylor]: Taking taylor expansion of k in k 0.177 * [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 0.179 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.179 * [taylor]: Taking taylor expansion of 0.5 in n 0.179 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.179 * [taylor]: Taking taylor expansion of 1.0 in n 0.179 * [taylor]: Taking taylor expansion of k in n 0.179 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.179 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.179 * [taylor]: Taking taylor expansion of 2.0 in n 0.179 * [taylor]: Taking taylor expansion of (* n PI) in n 0.179 * [taylor]: Taking taylor expansion of n in n 0.179 * [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 0.190 * [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 0.217 * [taylor]: Taking taylor expansion of 0 in k 0.240 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.240 * [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 0.241 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.241 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.241 * [taylor]: Taking taylor expansion of 2.0 in k 0.241 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.241 * [taylor]: Taking taylor expansion of PI in k 0.241 * [taylor]: Taking taylor expansion of n in k 0.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.242 * [taylor]: Taking taylor expansion of 0.5 in n 0.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.242 * [taylor]: Taking taylor expansion of 1.0 in n 0.242 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.242 * [taylor]: Taking taylor expansion of k in n 0.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.242 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.242 * [taylor]: Taking taylor expansion of 2.0 in n 0.242 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.242 * [taylor]: Taking taylor expansion of PI in n 0.242 * [taylor]: Taking taylor expansion of n in n 0.246 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.246 * [taylor]: Taking taylor expansion of 0.5 in n 0.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.246 * [taylor]: Taking taylor expansion of 1.0 in n 0.246 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.246 * [taylor]: Taking taylor expansion of k in n 0.246 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.246 * [taylor]: Taking taylor expansion of 2.0 in n 0.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.246 * [taylor]: Taking taylor expansion of PI in n 0.246 * [taylor]: Taking taylor expansion of n in n 0.250 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.250 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.250 * [taylor]: Taking taylor expansion of 0.5 in k 0.250 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.250 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.250 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.250 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.250 * [taylor]: Taking taylor expansion of 2.0 in k 0.250 * [taylor]: Taking taylor expansion of PI in k 0.251 * [taylor]: Taking taylor expansion of (log n) in k 0.251 * [taylor]: Taking taylor expansion of n in k 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.251 * [taylor]: Taking taylor expansion of 1.0 in k 0.251 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.251 * [taylor]: Taking taylor expansion of k in k 0.261 * [taylor]: Taking taylor expansion of 0 in k 0.268 * [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 0.279 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.279 * [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 0.282 * [taylor]: Taking taylor expansion of 1.0 in n 0.282 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.282 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.282 * [taylor]: Taking taylor expansion of -2.0 in n 0.282 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.282 * [taylor]: Taking taylor expansion of PI in n 0.282 * [taylor]: Taking taylor expansion of n in n 0.285 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.285 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.285 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.285 * [taylor]: Taking taylor expansion of 0.5 in n 0.285 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.285 * [taylor]: Taking taylor expansion of k in n 0.286 * [taylor]: Taking taylor expansion of 1.0 in n 0.286 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.286 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.286 * [taylor]: Taking taylor expansion of -2.0 in n 0.286 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.286 * [taylor]: Taking taylor expansion of PI in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.289 * [taylor]: Taking taylor expansion of 0.5 in k 0.289 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.289 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.290 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.290 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.290 * [taylor]: Taking taylor expansion of -2.0 in k 0.290 * [taylor]: Taking taylor expansion of PI in k 0.291 * [taylor]: Taking taylor expansion of (log n) in k 0.291 * [taylor]: Taking taylor expansion of n in k 0.300 * [taylor]: Taking taylor expansion of 0 in k 0.307 * [taylor]: Taking taylor expansion of 0 in k 0.319 * [taylor]: Taking taylor expansion of 0 in k 0.319 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.320 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.320 * [taylor]: Taking taylor expansion of 2.0 in n 0.320 * [taylor]: Taking taylor expansion of (* n PI) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.320 * [taylor]: Taking taylor expansion of 2.0 in n 0.320 * [taylor]: Taking taylor expansion of (* n PI) in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.333 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.333 * [taylor]: Taking taylor expansion of 2.0 in n 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.333 * [taylor]: Taking taylor expansion of 2.0 in n 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.342 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.342 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.342 * [taylor]: Taking taylor expansion of -2.0 in n 0.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.342 * [taylor]: Taking taylor expansion of PI in n 0.342 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.342 * [taylor]: Taking taylor expansion of -2.0 in n 0.342 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.342 * [taylor]: Taking taylor expansion of PI in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.351 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.351 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.351 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.351 * [taylor]: Taking taylor expansion of 1.0 in k 0.351 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.351 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.351 * [taylor]: Taking taylor expansion of k in k 0.353 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.353 * [taylor]: Taking taylor expansion of 1.0 in k 0.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.353 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.353 * [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 0.376 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.376 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.376 * [taylor]: Taking taylor expansion of 1.0 in k 0.376 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.376 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.376 * [taylor]: Taking taylor expansion of -1 in k 0.376 * [taylor]: Taking taylor expansion of k in k 0.378 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.378 * [taylor]: Taking taylor expansion of 1.0 in k 0.378 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.378 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.378 * [taylor]: Taking taylor expansion of -1 in k 0.378 * [taylor]: Taking taylor expansion of k in k 0.390 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.390 * [taylor]: Taking taylor expansion of 1.0 in n 0.390 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.390 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.390 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.390 * [taylor]: Taking taylor expansion of k in n 0.391 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.391 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.391 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.391 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.391 * [taylor]: Taking taylor expansion of 0.5 in n 0.391 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.391 * [taylor]: Taking taylor expansion of 1.0 in n 0.391 * [taylor]: Taking taylor expansion of k in n 0.391 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.391 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.391 * [taylor]: Taking taylor expansion of 2.0 in n 0.391 * [taylor]: Taking taylor expansion of (* n PI) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.391 * [taylor]: Taking taylor expansion of PI in n 0.396 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.396 * [taylor]: Taking taylor expansion of 1.0 in k 0.396 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.396 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.396 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.396 * [taylor]: Taking taylor expansion of k in k 0.398 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.398 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.398 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.398 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.398 * [taylor]: Taking taylor expansion of 0.5 in k 0.398 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.398 * [taylor]: Taking taylor expansion of 1.0 in k 0.398 * [taylor]: Taking taylor expansion of k in k 0.398 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.398 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.398 * [taylor]: Taking taylor expansion of 2.0 in k 0.398 * [taylor]: Taking taylor expansion of (* n PI) in k 0.398 * [taylor]: Taking taylor expansion of n in k 0.398 * [taylor]: Taking taylor expansion of PI in k 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 0.405 * [taylor]: Taking taylor expansion of 0 in n 0.410 * [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 0.410 * [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 0.410 * [taylor]: Taking taylor expansion of +nan.0 in n 0.410 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.410 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.410 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.410 * [taylor]: Taking taylor expansion of 0.5 in n 0.410 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.411 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.411 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.411 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.411 * [taylor]: Taking taylor expansion of 1.0 in n 0.411 * [taylor]: Taking taylor expansion of (log PI) in n 0.411 * [taylor]: Taking taylor expansion of PI in n 0.412 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.412 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.412 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.413 * [taylor]: Taking taylor expansion of 1.0 in n 0.413 * [taylor]: Taking taylor expansion of (log n) in n 0.413 * [taylor]: Taking taylor expansion of n in n 0.413 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.413 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.413 * [taylor]: Taking taylor expansion of 1.0 in n 0.413 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.413 * [taylor]: Taking taylor expansion of 2.0 in n 0.433 * [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 0.433 * [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 0.433 * [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 0.433 * [taylor]: Taking taylor expansion of +nan.0 in n 0.433 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.433 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.433 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.433 * [taylor]: Taking taylor expansion of 0.5 in n 0.433 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.433 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.433 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.433 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.433 * [taylor]: Taking taylor expansion of 1.0 in n 0.433 * [taylor]: Taking taylor expansion of (log PI) in n 0.433 * [taylor]: Taking taylor expansion of PI in n 0.435 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.435 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.435 * [taylor]: Taking taylor expansion of 1.0 in n 0.435 * [taylor]: Taking taylor expansion of (log n) in n 0.435 * [taylor]: Taking taylor expansion of n in n 0.436 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.436 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.436 * [taylor]: Taking taylor expansion of 1.0 in n 0.436 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.436 * [taylor]: Taking taylor expansion of 2.0 in n 0.441 * [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 0.441 * [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 0.441 * [taylor]: Taking taylor expansion of +nan.0 in n 0.441 * [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 0.441 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.441 * [taylor]: Taking taylor expansion of 0.5 in n 0.441 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.441 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.441 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.441 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.441 * [taylor]: Taking taylor expansion of 1.0 in n 0.441 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.441 * [taylor]: Taking taylor expansion of 2.0 in n 0.443 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.443 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.443 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.443 * [taylor]: Taking taylor expansion of 1.0 in n 0.443 * [taylor]: Taking taylor expansion of (log PI) in n 0.443 * [taylor]: Taking taylor expansion of PI in n 0.445 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.445 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.445 * [taylor]: Taking taylor expansion of 1.0 in n 0.445 * [taylor]: Taking taylor expansion of (log n) in n 0.445 * [taylor]: Taking taylor expansion of n in n 0.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.450 * [taylor]: Taking taylor expansion of 2.0 in n 0.450 * [taylor]: Taking taylor expansion of (* n PI) in n 0.450 * [taylor]: Taking taylor expansion of n in n 0.450 * [taylor]: Taking taylor expansion of PI in n 0.503 * [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 0.504 * [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 0.504 * [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 0.504 * [taylor]: Taking taylor expansion of +nan.0 in n 0.504 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.504 * [taylor]: Taking taylor expansion of 0.5 in n 0.504 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.504 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.504 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.504 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.504 * [taylor]: Taking taylor expansion of 2.0 in n 0.506 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.506 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log n) in n 0.506 * [taylor]: Taking taylor expansion of n in n 0.506 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log PI) in n 0.506 * [taylor]: Taking taylor expansion of PI in n 0.512 * [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 0.512 * [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 0.512 * [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 0.512 * [taylor]: Taking taylor expansion of +nan.0 in n 0.512 * [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 0.512 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.512 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.512 * [taylor]: Taking taylor expansion of 0.5 in n 0.512 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.512 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.512 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.512 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.512 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.512 * [taylor]: Taking taylor expansion of 1.0 in n 0.512 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.512 * [taylor]: Taking taylor expansion of 2.0 in n 0.514 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.514 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.514 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.514 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.514 * [taylor]: Taking taylor expansion of 1.0 in n 0.514 * [taylor]: Taking taylor expansion of (log PI) in n 0.514 * [taylor]: Taking taylor expansion of PI in n 0.516 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.516 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.516 * [taylor]: Taking taylor expansion of 1.0 in n 0.516 * [taylor]: Taking taylor expansion of (log n) in n 0.516 * [taylor]: Taking taylor expansion of n in n 0.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.520 * [taylor]: Taking taylor expansion of 2.0 in n 0.520 * [taylor]: Taking taylor expansion of (* n PI) in n 0.520 * [taylor]: Taking taylor expansion of n in n 0.520 * [taylor]: Taking taylor expansion of PI in n 0.523 * [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 0.523 * [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 0.523 * [taylor]: Taking taylor expansion of +nan.0 in n 0.523 * [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 0.523 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.523 * [taylor]: Taking taylor expansion of 0.5 in n 0.523 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.523 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.523 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.523 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.523 * [taylor]: Taking taylor expansion of 1.0 in n 0.523 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.523 * [taylor]: Taking taylor expansion of 2.0 in n 0.525 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.525 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.525 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.525 * [taylor]: Taking taylor expansion of 1.0 in n 0.525 * [taylor]: Taking taylor expansion of (log PI) in n 0.525 * [taylor]: Taking taylor expansion of PI in n 0.527 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.527 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.527 * [taylor]: Taking taylor expansion of 1.0 in n 0.527 * [taylor]: Taking taylor expansion of (log n) in n 0.527 * [taylor]: Taking taylor expansion of n in n 0.531 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.532 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.532 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.532 * [taylor]: Taking taylor expansion of 2.0 in n 0.532 * [taylor]: Taking taylor expansion of (* n PI) in n 0.532 * [taylor]: Taking taylor expansion of n in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.608 * [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 0.608 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.608 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.608 * [taylor]: Taking taylor expansion of k in n 0.608 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.608 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.608 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.608 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.608 * [taylor]: Taking taylor expansion of 0.5 in n 0.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.608 * [taylor]: Taking taylor expansion of 1.0 in n 0.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.608 * [taylor]: Taking taylor expansion of k in n 0.608 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.608 * [taylor]: Taking taylor expansion of 2.0 in n 0.608 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.608 * [taylor]: Taking taylor expansion of PI in n 0.608 * [taylor]: Taking taylor expansion of n in n 0.612 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.612 * [taylor]: Taking taylor expansion of 1.0 in k 0.612 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.612 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.612 * [taylor]: Taking taylor expansion of k in k 0.613 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.613 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.613 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.613 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.613 * [taylor]: Taking taylor expansion of 0.5 in k 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.613 * [taylor]: Taking taylor expansion of 1.0 in k 0.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.613 * [taylor]: Taking taylor expansion of k in k 0.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.614 * [taylor]: Taking taylor expansion of 2.0 in k 0.614 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.614 * [taylor]: Taking taylor expansion of PI in k 0.614 * [taylor]: Taking taylor expansion of n in k 0.615 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.615 * [taylor]: Taking taylor expansion of 1.0 in k 0.615 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.615 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.615 * [taylor]: Taking taylor expansion of k in k 0.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.616 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.616 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.616 * [taylor]: Taking taylor expansion of 0.5 in k 0.616 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.616 * [taylor]: Taking taylor expansion of 1.0 in k 0.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.616 * [taylor]: Taking taylor expansion of k in k 0.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.616 * [taylor]: Taking taylor expansion of 2.0 in k 0.616 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.616 * [taylor]: Taking taylor expansion of PI in k 0.616 * [taylor]: Taking taylor expansion of n in k 0.618 * [taylor]: Taking taylor expansion of 0 in n 0.619 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.619 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.619 * [taylor]: Taking taylor expansion of +nan.0 in n 0.619 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.619 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.619 * [taylor]: Taking taylor expansion of 0.5 in n 0.619 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.619 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.619 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.619 * [taylor]: Taking taylor expansion of 2.0 in n 0.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.619 * [taylor]: Taking taylor expansion of PI in n 0.619 * [taylor]: Taking taylor expansion of n in n 0.620 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.620 * [taylor]: Taking taylor expansion of 1.0 in n 0.620 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.620 * [taylor]: Taking taylor expansion of k in n 0.629 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.629 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.629 * [taylor]: Taking taylor expansion of +nan.0 in n 0.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.629 * [taylor]: Taking taylor expansion of 0.5 in n 0.629 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.629 * [taylor]: Taking taylor expansion of 2.0 in n 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.631 * [taylor]: Taking taylor expansion of 1.0 in n 0.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.631 * [taylor]: Taking taylor expansion of k in n 0.648 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.648 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.648 * [taylor]: Taking taylor expansion of +nan.0 in n 0.648 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.648 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.648 * [taylor]: Taking taylor expansion of 0.5 in n 0.648 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.648 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.648 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.648 * [taylor]: Taking taylor expansion of 2.0 in n 0.648 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.648 * [taylor]: Taking taylor expansion of PI in n 0.648 * [taylor]: Taking taylor expansion of n in n 0.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.649 * [taylor]: Taking taylor expansion of 1.0 in n 0.649 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.649 * [taylor]: Taking taylor expansion of k in n 0.658 * [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 0.658 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.658 * [taylor]: Taking taylor expansion of 1.0 in n 0.658 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.658 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.658 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.658 * [taylor]: Taking taylor expansion of 0.5 in n 0.658 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.658 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.658 * [taylor]: Taking taylor expansion of k in n 0.658 * [taylor]: Taking taylor expansion of 1.0 in n 0.658 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.658 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.658 * [taylor]: Taking taylor expansion of -2.0 in n 0.658 * [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 0.662 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.662 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.662 * [taylor]: Taking taylor expansion of -1 in n 0.662 * [taylor]: Taking taylor expansion of k in n 0.663 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.663 * [taylor]: Taking taylor expansion of 1.0 in k 0.663 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.663 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.663 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.663 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.663 * [taylor]: Taking taylor expansion of 0.5 in k 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.663 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.663 * [taylor]: Taking taylor expansion of k in k 0.663 * [taylor]: Taking taylor expansion of 1.0 in k 0.663 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.663 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.663 * [taylor]: Taking taylor expansion of -2.0 in k 0.663 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.663 * [taylor]: Taking taylor expansion of PI in k 0.663 * [taylor]: Taking taylor expansion of n in k 0.667 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.667 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.667 * [taylor]: Taking taylor expansion of -1 in k 0.667 * [taylor]: Taking taylor expansion of k in k 0.669 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.669 * [taylor]: Taking taylor expansion of 1.0 in k 0.669 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.669 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.669 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.669 * [taylor]: Taking taylor expansion of 0.5 in k 0.669 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.669 * [taylor]: Taking taylor expansion of k in k 0.669 * [taylor]: Taking taylor expansion of 1.0 in k 0.669 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.669 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.669 * [taylor]: Taking taylor expansion of -2.0 in k 0.669 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.669 * [taylor]: Taking taylor expansion of PI in k 0.669 * [taylor]: Taking taylor expansion of n in k 0.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.670 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.670 * [taylor]: Taking taylor expansion of -1 in k 0.670 * [taylor]: Taking taylor expansion of k in k 0.672 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.672 * [taylor]: Taking taylor expansion of +nan.0 in n 0.672 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.672 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.672 * [taylor]: Taking taylor expansion of 0.5 in n 0.672 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.672 * [taylor]: Taking taylor expansion of k in n 0.672 * [taylor]: Taking taylor expansion of 1.0 in n 0.672 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.672 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.672 * [taylor]: Taking taylor expansion of -2.0 in n 0.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.672 * [taylor]: Taking taylor expansion of PI in n 0.672 * [taylor]: Taking taylor expansion of n in n 0.681 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.681 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.681 * [taylor]: Taking taylor expansion of +nan.0 in n 0.681 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.681 * [taylor]: Taking taylor expansion of 0.5 in n 0.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.681 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.681 * [taylor]: Taking taylor expansion of k in n 0.681 * [taylor]: Taking taylor expansion of 1.0 in n 0.681 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.681 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.681 * [taylor]: Taking taylor expansion of -2.0 in n 0.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.681 * [taylor]: Taking taylor expansion of PI in n 0.681 * [taylor]: Taking taylor expansion of n in n 0.699 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.699 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.699 * [taylor]: Taking taylor expansion of +nan.0 in n 0.700 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.700 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.700 * [taylor]: Taking taylor expansion of 0.5 in n 0.700 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.700 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.700 * [taylor]: Taking taylor expansion of k in n 0.700 * [taylor]: Taking taylor expansion of 1.0 in n 0.700 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.700 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.700 * [taylor]: Taking taylor expansion of -2.0 in n 0.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.700 * [taylor]: Taking taylor expansion of PI in n 0.700 * [taylor]: Taking taylor expansion of n in n 0.709 * * * [progress]: simplifying candidates 0.711 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.811 * * * [progress]: adding candidates to table 1.243 * * [progress]: iteration 2 / 4 1.243 * * * [progress]: picking best candidate 1.275 * * * * [pick]: Picked # 1.275 * * * [progress]: localizing error 1.290 * * * [progress]: generating rewritten candidates 1.290 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.303 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.323 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.342 * * * [progress]: generating series expansions 1.342 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.343 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.343 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.343 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.343 * [taylor]: Taking taylor expansion of 0.25 in k 1.343 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.343 * [taylor]: Taking taylor expansion of 1.0 in k 1.343 * [taylor]: Taking taylor expansion of k in k 1.343 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.343 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.343 * [taylor]: Taking taylor expansion of 2.0 in k 1.343 * [taylor]: Taking taylor expansion of (* n PI) in k 1.343 * [taylor]: Taking taylor expansion of n in k 1.343 * [taylor]: Taking taylor expansion of PI in k 1.344 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.345 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.345 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.345 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.345 * [taylor]: Taking taylor expansion of 0.25 in n 1.345 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.345 * [taylor]: Taking taylor expansion of 1.0 in n 1.345 * [taylor]: Taking taylor expansion of k in n 1.345 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.345 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.345 * [taylor]: Taking taylor expansion of 2.0 in n 1.345 * [taylor]: Taking taylor expansion of (* n PI) in n 1.345 * [taylor]: Taking taylor expansion of n in n 1.345 * [taylor]: Taking taylor expansion of PI in n 1.350 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.350 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.350 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.350 * [taylor]: Taking taylor expansion of 0.25 in n 1.350 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.350 * [taylor]: Taking taylor expansion of 1.0 in n 1.350 * [taylor]: Taking taylor expansion of k in n 1.350 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.350 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.350 * [taylor]: Taking taylor expansion of 2.0 in n 1.350 * [taylor]: Taking taylor expansion of (* n PI) in n 1.350 * [taylor]: Taking taylor expansion of n in n 1.350 * [taylor]: Taking taylor expansion of PI in n 1.356 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.356 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.356 * [taylor]: Taking taylor expansion of 0.25 in k 1.356 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.356 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.356 * [taylor]: Taking taylor expansion of 1.0 in k 1.356 * [taylor]: Taking taylor expansion of k in k 1.356 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.356 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.356 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.356 * [taylor]: Taking taylor expansion of 2.0 in k 1.356 * [taylor]: Taking taylor expansion of PI in k 1.357 * [taylor]: Taking taylor expansion of (log n) in k 1.357 * [taylor]: Taking taylor expansion of n in k 1.366 * [taylor]: Taking taylor expansion of 0 in k 1.382 * [taylor]: Taking taylor expansion of 0 in k 1.401 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.401 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.401 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.401 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.401 * [taylor]: Taking taylor expansion of 0.25 in k 1.402 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.402 * [taylor]: Taking taylor expansion of 1.0 in k 1.402 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.402 * [taylor]: Taking taylor expansion of k in k 1.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.402 * [taylor]: Taking taylor expansion of 2.0 in k 1.402 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.402 * [taylor]: Taking taylor expansion of PI in k 1.402 * [taylor]: Taking taylor expansion of n in k 1.403 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.403 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.403 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.403 * [taylor]: Taking taylor expansion of 0.25 in n 1.403 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.403 * [taylor]: Taking taylor expansion of 1.0 in n 1.403 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.403 * [taylor]: Taking taylor expansion of k in n 1.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.403 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.403 * [taylor]: Taking taylor expansion of 2.0 in n 1.403 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.403 * [taylor]: Taking taylor expansion of PI in n 1.403 * [taylor]: Taking taylor expansion of n in n 1.407 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.407 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.407 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.407 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.407 * [taylor]: Taking taylor expansion of 0.25 in n 1.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.408 * [taylor]: Taking taylor expansion of 1.0 in n 1.408 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.408 * [taylor]: Taking taylor expansion of k in n 1.408 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.408 * [taylor]: Taking taylor expansion of 2.0 in n 1.408 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.408 * [taylor]: Taking taylor expansion of PI in n 1.408 * [taylor]: Taking taylor expansion of n in n 1.416 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.416 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.416 * [taylor]: Taking taylor expansion of 0.25 in k 1.416 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.416 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.416 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.416 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.416 * [taylor]: Taking taylor expansion of 2.0 in k 1.416 * [taylor]: Taking taylor expansion of PI in k 1.417 * [taylor]: Taking taylor expansion of (log n) in k 1.417 * [taylor]: Taking taylor expansion of n in k 1.417 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.417 * [taylor]: Taking taylor expansion of 1.0 in k 1.417 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.417 * [taylor]: Taking taylor expansion of k in k 1.427 * [taylor]: Taking taylor expansion of 0 in k 1.434 * [taylor]: Taking taylor expansion of 0 in k 1.443 * [taylor]: Taking taylor expansion of 0 in k 1.444 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.444 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.444 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.444 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.445 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.445 * [taylor]: Taking taylor expansion of 0.25 in k 1.445 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.445 * [taylor]: Taking taylor expansion of k in k 1.445 * [taylor]: Taking taylor expansion of 1.0 in k 1.445 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.445 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.445 * [taylor]: Taking taylor expansion of -2.0 in k 1.445 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.445 * [taylor]: Taking taylor expansion of PI in k 1.445 * [taylor]: Taking taylor expansion of n in k 1.446 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.446 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.446 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.446 * [taylor]: Taking taylor expansion of 0.25 in n 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.446 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.446 * [taylor]: Taking taylor expansion of k in n 1.446 * [taylor]: Taking taylor expansion of 1.0 in n 1.446 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.446 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.446 * [taylor]: Taking taylor expansion of -2.0 in n 1.446 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.446 * [taylor]: Taking taylor expansion of PI in n 1.446 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.450 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.450 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.450 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.450 * [taylor]: Taking taylor expansion of 0.25 in n 1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.450 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.450 * [taylor]: Taking taylor expansion of k in n 1.450 * [taylor]: Taking taylor expansion of 1.0 in n 1.450 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.450 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.450 * [taylor]: Taking taylor expansion of -2.0 in n 1.450 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.454 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.454 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.454 * [taylor]: Taking taylor expansion of 0.25 in k 1.454 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.454 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.454 * [taylor]: Taking taylor expansion of k in k 1.454 * [taylor]: Taking taylor expansion of 1.0 in k 1.454 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.454 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.454 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.454 * [taylor]: Taking taylor expansion of -2.0 in k 1.454 * [taylor]: Taking taylor expansion of PI in k 1.455 * [taylor]: Taking taylor expansion of (log n) in k 1.455 * [taylor]: Taking taylor expansion of n in k 1.464 * [taylor]: Taking taylor expansion of 0 in k 1.471 * [taylor]: Taking taylor expansion of 0 in k 1.480 * [taylor]: Taking taylor expansion of 0 in k 1.481 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.482 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.482 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.482 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.482 * [taylor]: Taking taylor expansion of 0.25 in k 1.482 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.482 * [taylor]: Taking taylor expansion of 1.0 in k 1.482 * [taylor]: Taking taylor expansion of k in k 1.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.482 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.482 * [taylor]: Taking taylor expansion of 2.0 in k 1.482 * [taylor]: Taking taylor expansion of (* n PI) in k 1.482 * [taylor]: Taking taylor expansion of n in k 1.482 * [taylor]: Taking taylor expansion of PI in k 1.483 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.483 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.483 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.483 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.483 * [taylor]: Taking taylor expansion of 0.25 in n 1.483 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.483 * [taylor]: Taking taylor expansion of 1.0 in n 1.483 * [taylor]: Taking taylor expansion of k in n 1.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.483 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.483 * [taylor]: Taking taylor expansion of 2.0 in n 1.483 * [taylor]: Taking taylor expansion of (* n PI) in n 1.483 * [taylor]: Taking taylor expansion of n in n 1.484 * [taylor]: Taking taylor expansion of PI in n 1.489 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.489 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.489 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.489 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.489 * [taylor]: Taking taylor expansion of 0.25 in n 1.489 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.489 * [taylor]: Taking taylor expansion of 1.0 in n 1.489 * [taylor]: Taking taylor expansion of k in n 1.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.489 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.489 * [taylor]: Taking taylor expansion of 2.0 in n 1.489 * [taylor]: Taking taylor expansion of (* n PI) in n 1.489 * [taylor]: Taking taylor expansion of n in n 1.489 * [taylor]: Taking taylor expansion of PI in n 1.494 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.494 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.494 * [taylor]: Taking taylor expansion of 0.25 in k 1.495 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.495 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.495 * [taylor]: Taking taylor expansion of 1.0 in k 1.495 * [taylor]: Taking taylor expansion of k in k 1.495 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.495 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.495 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.495 * [taylor]: Taking taylor expansion of 2.0 in k 1.495 * [taylor]: Taking taylor expansion of PI in k 1.496 * [taylor]: Taking taylor expansion of (log n) in k 1.496 * [taylor]: Taking taylor expansion of n in k 1.508 * [taylor]: Taking taylor expansion of 0 in k 1.523 * [taylor]: Taking taylor expansion of 0 in k 1.542 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.542 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.542 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.542 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.542 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.542 * [taylor]: Taking taylor expansion of 0.25 in k 1.542 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.542 * [taylor]: Taking taylor expansion of 1.0 in k 1.542 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.542 * [taylor]: Taking taylor expansion of k in k 1.543 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.543 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.543 * [taylor]: Taking taylor expansion of 2.0 in k 1.543 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.543 * [taylor]: Taking taylor expansion of PI in k 1.543 * [taylor]: Taking taylor expansion of n in k 1.544 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.544 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.544 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.544 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.544 * [taylor]: Taking taylor expansion of 0.25 in n 1.544 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.544 * [taylor]: Taking taylor expansion of 1.0 in n 1.544 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.544 * [taylor]: Taking taylor expansion of k in n 1.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.544 * [taylor]: Taking taylor expansion of 2.0 in n 1.544 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.544 * [taylor]: Taking taylor expansion of PI in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.548 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.548 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.548 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.548 * [taylor]: Taking taylor expansion of 0.25 in n 1.548 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.548 * [taylor]: Taking taylor expansion of 1.0 in n 1.548 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.548 * [taylor]: Taking taylor expansion of k in n 1.548 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.548 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.548 * [taylor]: Taking taylor expansion of 2.0 in n 1.548 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.548 * [taylor]: Taking taylor expansion of PI in n 1.548 * [taylor]: Taking taylor expansion of n in n 1.552 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.552 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.552 * [taylor]: Taking taylor expansion of 0.25 in k 1.552 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.552 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.552 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.552 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.552 * [taylor]: Taking taylor expansion of 2.0 in k 1.552 * [taylor]: Taking taylor expansion of PI in k 1.553 * [taylor]: Taking taylor expansion of (log n) in k 1.553 * [taylor]: Taking taylor expansion of n in k 1.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.553 * [taylor]: Taking taylor expansion of 1.0 in k 1.553 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.553 * [taylor]: Taking taylor expansion of k in k 1.562 * [taylor]: Taking taylor expansion of 0 in k 1.570 * [taylor]: Taking taylor expansion of 0 in k 1.579 * [taylor]: Taking taylor expansion of 0 in k 1.580 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.580 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.580 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.580 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.580 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.580 * [taylor]: Taking taylor expansion of 0.25 in k 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.583 * [taylor]: Taking taylor expansion of k in k 1.584 * [taylor]: Taking taylor expansion of 1.0 in k 1.584 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.584 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.584 * [taylor]: Taking taylor expansion of -2.0 in k 1.584 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.584 * [taylor]: Taking taylor expansion of PI in k 1.584 * [taylor]: Taking taylor expansion of n in k 1.585 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.585 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.585 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.585 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.585 * [taylor]: Taking taylor expansion of 0.25 in n 1.585 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.585 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.585 * [taylor]: Taking taylor expansion of k in n 1.585 * [taylor]: Taking taylor expansion of 1.0 in n 1.585 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.585 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.585 * [taylor]: Taking taylor expansion of -2.0 in n 1.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.585 * [taylor]: Taking taylor expansion of PI in n 1.585 * [taylor]: Taking taylor expansion of n in n 1.589 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.589 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.589 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.589 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.589 * [taylor]: Taking taylor expansion of 0.25 in n 1.589 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.589 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.589 * [taylor]: Taking taylor expansion of k in n 1.589 * [taylor]: Taking taylor expansion of 1.0 in n 1.589 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.589 * [taylor]: Taking taylor expansion of -2.0 in n 1.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.589 * [taylor]: Taking taylor expansion of PI in n 1.589 * [taylor]: Taking taylor expansion of n in n 1.592 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.593 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.593 * [taylor]: Taking taylor expansion of 0.25 in k 1.593 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.593 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.593 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.593 * [taylor]: Taking taylor expansion of k in k 1.593 * [taylor]: Taking taylor expansion of 1.0 in k 1.593 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.593 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.593 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.593 * [taylor]: Taking taylor expansion of -2.0 in k 1.593 * [taylor]: Taking taylor expansion of PI in k 1.594 * [taylor]: Taking taylor expansion of (log n) in k 1.594 * [taylor]: Taking taylor expansion of n in k 1.603 * [taylor]: Taking taylor expansion of 0 in k 1.610 * [taylor]: Taking taylor expansion of 0 in k 1.619 * [taylor]: Taking taylor expansion of 0 in k 1.620 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.620 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.620 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.620 * [taylor]: Taking taylor expansion of 2.0 in n 1.620 * [taylor]: Taking taylor expansion of (* n PI) in n 1.620 * [taylor]: Taking taylor expansion of n in n 1.620 * [taylor]: Taking taylor expansion of PI in n 1.620 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.620 * [taylor]: Taking taylor expansion of 2.0 in n 1.620 * [taylor]: Taking taylor expansion of (* n PI) in n 1.620 * [taylor]: Taking taylor expansion of n in n 1.620 * [taylor]: Taking taylor expansion of PI in n 1.632 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.632 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.632 * [taylor]: Taking taylor expansion of 2.0 in n 1.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.632 * [taylor]: Taking taylor expansion of PI in n 1.632 * [taylor]: Taking taylor expansion of n in n 1.633 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.633 * [taylor]: Taking taylor expansion of 2.0 in n 1.633 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.633 * [taylor]: Taking taylor expansion of PI in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.642 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.642 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.642 * [taylor]: Taking taylor expansion of -2.0 in n 1.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.642 * [taylor]: Taking taylor expansion of PI in n 1.642 * [taylor]: Taking taylor expansion of n in n 1.642 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.642 * [taylor]: Taking taylor expansion of -2.0 in n 1.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.642 * [taylor]: Taking taylor expansion of PI in n 1.642 * [taylor]: Taking taylor expansion of n in n 1.651 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.651 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.651 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.651 * [taylor]: Taking taylor expansion of 2.0 in n 1.651 * [taylor]: Taking taylor expansion of (* n PI) in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.651 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.651 * [taylor]: Taking taylor expansion of 2.0 in n 1.651 * [taylor]: Taking taylor expansion of (* n PI) in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.652 * [taylor]: Taking taylor expansion of PI in n 1.666 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.667 * [taylor]: Taking taylor expansion of 2.0 in n 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.667 * [taylor]: Taking taylor expansion of 2.0 in n 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.676 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.676 * [taylor]: Taking taylor expansion of -2.0 in n 1.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.676 * [taylor]: Taking taylor expansion of PI in n 1.676 * [taylor]: Taking taylor expansion of n in n 1.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.676 * [taylor]: Taking taylor expansion of -2.0 in n 1.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.676 * [taylor]: Taking taylor expansion of PI in n 1.676 * [taylor]: Taking taylor expansion of n in n 1.685 * * * [progress]: simplifying candidates 1.688 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (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 (* 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(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)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 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)) (* (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 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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log 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) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log 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) (pow (* (* 2.0 PI) n) 0.25))))) (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) 1.761 * * * [progress]: adding candidates to table 2.431 * * [progress]: iteration 3 / 4 2.431 * * * [progress]: picking best candidate 2.455 * * * * [pick]: Picked # 2.455 * * * [progress]: localizing error 2.476 * * * [progress]: generating rewritten candidates 2.476 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.489 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.516 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.541 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.594 * * * [progress]: generating series expansions 2.594 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.595 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 2.595 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 2.595 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.595 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.595 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 2.595 * [taylor]: Taking taylor expansion of 0.25 in k 2.595 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.595 * [taylor]: Taking taylor expansion of 1.0 in k 2.595 * [taylor]: Taking taylor expansion of k in k 2.595 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.595 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.595 * [taylor]: Taking taylor expansion of 2.0 in k 2.595 * [taylor]: Taking taylor expansion of (* n PI) in k 2.595 * [taylor]: Taking taylor expansion of n in k 2.595 * [taylor]: Taking taylor expansion of PI in k 2.596 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.597 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.597 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.597 * [taylor]: Taking taylor expansion of 0.25 in n 2.597 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.597 * [taylor]: Taking taylor expansion of 1.0 in n 2.597 * [taylor]: Taking taylor expansion of k in n 2.597 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.597 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.597 * [taylor]: Taking taylor expansion of 2.0 in n 2.597 * [taylor]: Taking taylor expansion of (* n PI) in n 2.597 * [taylor]: Taking taylor expansion of n in n 2.597 * [taylor]: Taking taylor expansion of PI in n 2.602 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 2.602 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.602 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.602 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 2.602 * [taylor]: Taking taylor expansion of 0.25 in n 2.602 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.602 * [taylor]: Taking taylor expansion of 1.0 in n 2.602 * [taylor]: Taking taylor expansion of k in n 2.602 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.602 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.602 * [taylor]: Taking taylor expansion of 2.0 in n 2.602 * [taylor]: Taking taylor expansion of (* n PI) in n 2.602 * [taylor]: Taking taylor expansion of n in n 2.602 * [taylor]: Taking taylor expansion of PI in n 2.608 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.608 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.608 * [taylor]: Taking taylor expansion of 0.25 in k 2.608 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.608 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.608 * [taylor]: Taking taylor expansion of 1.0 in k 2.608 * [taylor]: Taking taylor expansion of k in k 2.608 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.608 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.608 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.608 * [taylor]: Taking taylor expansion of 2.0 in k 2.608 * [taylor]: Taking taylor expansion of PI in k 2.609 * [taylor]: Taking taylor expansion of (log n) in k 2.609 * [taylor]: Taking taylor expansion of n in k 2.619 * [taylor]: Taking taylor expansion of 0 in k 2.643 * [taylor]: Taking taylor expansion of 0 in k 2.662 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 2.662 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 2.662 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.662 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.662 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 2.662 * [taylor]: Taking taylor expansion of 0.25 in k 2.662 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.662 * [taylor]: Taking taylor expansion of 1.0 in k 2.662 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.662 * [taylor]: Taking taylor expansion of k in k 2.662 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.662 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.662 * [taylor]: Taking taylor expansion of 2.0 in k 2.662 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.662 * [taylor]: Taking taylor expansion of PI in k 2.662 * [taylor]: Taking taylor expansion of n in k 2.663 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.664 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.664 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.664 * [taylor]: Taking taylor expansion of 0.25 in n 2.664 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.664 * [taylor]: Taking taylor expansion of 1.0 in n 2.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.664 * [taylor]: Taking taylor expansion of k in n 2.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.664 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.664 * [taylor]: Taking taylor expansion of 2.0 in n 2.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.664 * [taylor]: Taking taylor expansion of PI in n 2.664 * [taylor]: Taking taylor expansion of n in n 2.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 2.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.668 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.668 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 2.668 * [taylor]: Taking taylor expansion of 0.25 in n 2.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.668 * [taylor]: Taking taylor expansion of 1.0 in n 2.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.668 * [taylor]: Taking taylor expansion of k in n 2.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.668 * [taylor]: Taking taylor expansion of 2.0 in n 2.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.668 * [taylor]: Taking taylor expansion of PI in n 2.668 * [taylor]: Taking taylor expansion of n in n 2.672 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.672 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.672 * [taylor]: Taking taylor expansion of 0.25 in k 2.672 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.672 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.672 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.672 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.672 * [taylor]: Taking taylor expansion of 2.0 in k 2.672 * [taylor]: Taking taylor expansion of PI in k 2.673 * [taylor]: Taking taylor expansion of (log n) in k 2.673 * [taylor]: Taking taylor expansion of n in k 2.673 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.673 * [taylor]: Taking taylor expansion of 1.0 in k 2.673 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.673 * [taylor]: Taking taylor expansion of k in k 2.683 * [taylor]: Taking taylor expansion of 0 in k 2.690 * [taylor]: Taking taylor expansion of 0 in k 2.699 * [taylor]: Taking taylor expansion of 0 in k 2.701 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 2.701 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 2.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.701 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.701 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 2.701 * [taylor]: Taking taylor expansion of 0.25 in k 2.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.701 * [taylor]: Taking taylor expansion of k in k 2.701 * [taylor]: Taking taylor expansion of 1.0 in k 2.701 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.701 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.701 * [taylor]: Taking taylor expansion of -2.0 in k 2.701 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.701 * [taylor]: Taking taylor expansion of PI in k 2.701 * [taylor]: Taking taylor expansion of n in k 2.702 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.702 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.702 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.702 * [taylor]: Taking taylor expansion of 0.25 in n 2.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.702 * [taylor]: Taking taylor expansion of k in n 2.702 * [taylor]: Taking taylor expansion of 1.0 in n 2.702 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.702 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.702 * [taylor]: Taking taylor expansion of -2.0 in n 2.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.702 * [taylor]: Taking taylor expansion of PI in n 2.702 * [taylor]: Taking taylor expansion of n in n 2.706 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 2.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.706 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.706 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 2.706 * [taylor]: Taking taylor expansion of 0.25 in n 2.706 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.706 * [taylor]: Taking taylor expansion of k in n 2.706 * [taylor]: Taking taylor expansion of 1.0 in n 2.706 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.706 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.706 * [taylor]: Taking taylor expansion of -2.0 in n 2.706 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.706 * [taylor]: Taking taylor expansion of PI in n 2.706 * [taylor]: Taking taylor expansion of n in n 2.710 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.710 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.710 * [taylor]: Taking taylor expansion of 0.25 in k 2.710 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.710 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.710 * [taylor]: Taking taylor expansion of k in k 2.710 * [taylor]: Taking taylor expansion of 1.0 in k 2.710 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.710 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.710 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.711 * [taylor]: Taking taylor expansion of -2.0 in k 2.711 * [taylor]: Taking taylor expansion of PI in k 2.711 * [taylor]: Taking taylor expansion of (log n) in k 2.711 * [taylor]: Taking taylor expansion of n in k 2.724 * [taylor]: Taking taylor expansion of 0 in k 2.731 * [taylor]: Taking taylor expansion of 0 in k 2.740 * [taylor]: Taking taylor expansion of 0 in k 2.741 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.741 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in (n k) around 0 2.741 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in k 2.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.741 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.741 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in k 2.741 * [taylor]: Taking taylor expansion of 0.125 in k 2.741 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.741 * [taylor]: Taking taylor expansion of 1.0 in k 2.741 * [taylor]: Taking taylor expansion of k in k 2.741 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.741 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.741 * [taylor]: Taking taylor expansion of 2.0 in k 2.741 * [taylor]: Taking taylor expansion of (* n PI) in k 2.741 * [taylor]: Taking taylor expansion of n in k 2.741 * [taylor]: Taking taylor expansion of PI in k 2.742 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 2.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.742 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.742 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 2.742 * [taylor]: Taking taylor expansion of 0.125 in n 2.742 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.742 * [taylor]: Taking taylor expansion of 1.0 in n 2.742 * [taylor]: Taking taylor expansion of k in n 2.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.743 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.743 * [taylor]: Taking taylor expansion of 2.0 in n 2.743 * [taylor]: Taking taylor expansion of (* n PI) in n 2.743 * [taylor]: Taking taylor expansion of n in n 2.743 * [taylor]: Taking taylor expansion of PI in n 2.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 2.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.748 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.748 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 2.748 * [taylor]: Taking taylor expansion of 0.125 in n 2.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.748 * [taylor]: Taking taylor expansion of 1.0 in n 2.748 * [taylor]: Taking taylor expansion of k in n 2.749 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.749 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.749 * [taylor]: Taking taylor expansion of 2.0 in n 2.749 * [taylor]: Taking taylor expansion of (* n PI) in n 2.749 * [taylor]: Taking taylor expansion of n in n 2.749 * [taylor]: Taking taylor expansion of PI in n 2.754 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.754 * [taylor]: Taking taylor expansion of (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.754 * [taylor]: Taking taylor expansion of 0.125 in k 2.754 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.754 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.754 * [taylor]: Taking taylor expansion of 1.0 in k 2.754 * [taylor]: Taking taylor expansion of k in k 2.754 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.754 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.754 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.754 * [taylor]: Taking taylor expansion of 2.0 in k 2.754 * [taylor]: Taking taylor expansion of PI in k 2.755 * [taylor]: Taking taylor expansion of (log n) in k 2.755 * [taylor]: Taking taylor expansion of n in k 2.764 * [taylor]: Taking taylor expansion of 0 in k 2.781 * [taylor]: Taking taylor expansion of 0 in k 2.800 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in (n k) around 0 2.800 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in k 2.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.800 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.800 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in k 2.800 * [taylor]: Taking taylor expansion of 0.125 in k 2.800 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.800 * [taylor]: Taking taylor expansion of 1.0 in k 2.800 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.800 * [taylor]: Taking taylor expansion of k in k 2.803 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.803 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.803 * [taylor]: Taking taylor expansion of 2.0 in k 2.803 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.803 * [taylor]: Taking taylor expansion of PI in k 2.803 * [taylor]: Taking taylor expansion of n in k 2.804 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 2.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.804 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.804 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 2.804 * [taylor]: Taking taylor expansion of 0.125 in n 2.804 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.804 * [taylor]: Taking taylor expansion of 1.0 in n 2.804 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.804 * [taylor]: Taking taylor expansion of k in n 2.805 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.805 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.805 * [taylor]: Taking taylor expansion of 2.0 in n 2.805 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.805 * [taylor]: Taking taylor expansion of PI in n 2.805 * [taylor]: Taking taylor expansion of n in n 2.808 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 2.808 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.808 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.808 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 2.808 * [taylor]: Taking taylor expansion of 0.125 in n 2.808 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.808 * [taylor]: Taking taylor expansion of 1.0 in n 2.808 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.808 * [taylor]: Taking taylor expansion of k in n 2.808 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.808 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.808 * [taylor]: Taking taylor expansion of 2.0 in n 2.808 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.809 * [taylor]: Taking taylor expansion of PI in n 2.809 * [taylor]: Taking taylor expansion of n in n 2.812 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.812 * [taylor]: Taking taylor expansion of (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.812 * [taylor]: Taking taylor expansion of 0.125 in k 2.812 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.812 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.812 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.812 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.812 * [taylor]: Taking taylor expansion of 2.0 in k 2.812 * [taylor]: Taking taylor expansion of PI in k 2.813 * [taylor]: Taking taylor expansion of (log n) in k 2.813 * [taylor]: Taking taylor expansion of n in k 2.813 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.813 * [taylor]: Taking taylor expansion of 1.0 in k 2.813 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.813 * [taylor]: Taking taylor expansion of k in k 2.823 * [taylor]: Taking taylor expansion of 0 in k 2.830 * [taylor]: Taking taylor expansion of 0 in k 2.840 * [taylor]: Taking taylor expansion of 0 in k 2.841 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in (n k) around 0 2.841 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in k 2.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.841 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.841 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in k 2.841 * [taylor]: Taking taylor expansion of 0.125 in k 2.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.841 * [taylor]: Taking taylor expansion of k in k 2.842 * [taylor]: Taking taylor expansion of 1.0 in k 2.842 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.842 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.842 * [taylor]: Taking taylor expansion of -2.0 in k 2.842 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.842 * [taylor]: Taking taylor expansion of PI in k 2.842 * [taylor]: Taking taylor expansion of n in k 2.843 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 2.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.843 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.843 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 2.843 * [taylor]: Taking taylor expansion of 0.125 in n 2.843 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.843 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.843 * [taylor]: Taking taylor expansion of k in n 2.843 * [taylor]: Taking taylor expansion of 1.0 in n 2.843 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.843 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.843 * [taylor]: Taking taylor expansion of -2.0 in n 2.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.843 * [taylor]: Taking taylor expansion of PI in n 2.843 * [taylor]: Taking taylor expansion of n in n 2.847 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 2.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.847 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.847 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 2.847 * [taylor]: Taking taylor expansion of 0.125 in n 2.847 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.847 * [taylor]: Taking taylor expansion of k in n 2.847 * [taylor]: Taking taylor expansion of 1.0 in n 2.847 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.847 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.847 * [taylor]: Taking taylor expansion of -2.0 in n 2.847 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.847 * [taylor]: Taking taylor expansion of PI in n 2.847 * [taylor]: Taking taylor expansion of n in n 2.851 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.851 * [taylor]: Taking taylor expansion of (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.851 * [taylor]: Taking taylor expansion of 0.125 in k 2.851 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.851 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.851 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.851 * [taylor]: Taking taylor expansion of k in k 2.851 * [taylor]: Taking taylor expansion of 1.0 in k 2.851 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.851 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.851 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.851 * [taylor]: Taking taylor expansion of -2.0 in k 2.851 * [taylor]: Taking taylor expansion of PI in k 2.852 * [taylor]: Taking taylor expansion of (log n) in k 2.852 * [taylor]: Taking taylor expansion of n in k 2.861 * [taylor]: Taking taylor expansion of 0 in k 2.868 * [taylor]: Taking taylor expansion of 0 in k 2.877 * [taylor]: Taking taylor expansion of 0 in k 2.878 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.879 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in (n k) around 0 2.879 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in k 2.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.879 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.879 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in k 2.879 * [taylor]: Taking taylor expansion of 0.125 in k 2.879 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.879 * [taylor]: Taking taylor expansion of 1.0 in k 2.879 * [taylor]: Taking taylor expansion of k in k 2.879 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.879 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.879 * [taylor]: Taking taylor expansion of 2.0 in k 2.879 * [taylor]: Taking taylor expansion of (* n PI) in k 2.879 * [taylor]: Taking taylor expansion of n in k 2.879 * [taylor]: Taking taylor expansion of PI in k 2.880 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 2.880 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.880 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.880 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 2.880 * [taylor]: Taking taylor expansion of 0.125 in n 2.880 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.880 * [taylor]: Taking taylor expansion of 1.0 in n 2.880 * [taylor]: Taking taylor expansion of k in n 2.880 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.880 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.880 * [taylor]: Taking taylor expansion of 2.0 in n 2.880 * [taylor]: Taking taylor expansion of (* n PI) in n 2.880 * [taylor]: Taking taylor expansion of n in n 2.880 * [taylor]: Taking taylor expansion of PI in n 2.885 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 2.885 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.885 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.885 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 2.886 * [taylor]: Taking taylor expansion of 0.125 in n 2.886 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.886 * [taylor]: Taking taylor expansion of 1.0 in n 2.886 * [taylor]: Taking taylor expansion of k in n 2.886 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.886 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.886 * [taylor]: Taking taylor expansion of 2.0 in n 2.886 * [taylor]: Taking taylor expansion of (* n PI) in n 2.886 * [taylor]: Taking taylor expansion of n in n 2.886 * [taylor]: Taking taylor expansion of PI in n 2.894 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.894 * [taylor]: Taking taylor expansion of (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.894 * [taylor]: Taking taylor expansion of 0.125 in k 2.894 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.894 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.894 * [taylor]: Taking taylor expansion of 1.0 in k 2.895 * [taylor]: Taking taylor expansion of k in k 2.895 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.895 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.895 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.895 * [taylor]: Taking taylor expansion of 2.0 in k 2.895 * [taylor]: Taking taylor expansion of PI in k 2.896 * [taylor]: Taking taylor expansion of (log n) in k 2.896 * [taylor]: Taking taylor expansion of n in k 2.905 * [taylor]: Taking taylor expansion of 0 in k 2.921 * [taylor]: Taking taylor expansion of 0 in k 2.940 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in (n k) around 0 2.940 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in k 2.940 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.940 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.940 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in k 2.940 * [taylor]: Taking taylor expansion of 0.125 in k 2.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.940 * [taylor]: Taking taylor expansion of 1.0 in k 2.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.940 * [taylor]: Taking taylor expansion of k in k 2.941 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.941 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.941 * [taylor]: Taking taylor expansion of 2.0 in k 2.941 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.941 * [taylor]: Taking taylor expansion of PI in k 2.941 * [taylor]: Taking taylor expansion of n in k 2.942 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 2.942 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.942 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.942 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 2.942 * [taylor]: Taking taylor expansion of 0.125 in n 2.942 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.942 * [taylor]: Taking taylor expansion of 1.0 in n 2.942 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.942 * [taylor]: Taking taylor expansion of k in n 2.942 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.942 * [taylor]: Taking taylor expansion of 2.0 in n 2.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.942 * [taylor]: Taking taylor expansion of PI in n 2.942 * [taylor]: Taking taylor expansion of n in n 2.946 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 2.946 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.946 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.946 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 2.946 * [taylor]: Taking taylor expansion of 0.125 in n 2.946 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.946 * [taylor]: Taking taylor expansion of 1.0 in n 2.946 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.946 * [taylor]: Taking taylor expansion of k in n 2.946 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.946 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.946 * [taylor]: Taking taylor expansion of 2.0 in n 2.946 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.946 * [taylor]: Taking taylor expansion of PI in n 2.946 * [taylor]: Taking taylor expansion of n in n 2.950 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.950 * [taylor]: Taking taylor expansion of (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.950 * [taylor]: Taking taylor expansion of 0.125 in k 2.950 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.950 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.950 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.950 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.950 * [taylor]: Taking taylor expansion of 2.0 in k 2.950 * [taylor]: Taking taylor expansion of PI in k 2.951 * [taylor]: Taking taylor expansion of (log n) in k 2.951 * [taylor]: Taking taylor expansion of n in k 2.951 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.951 * [taylor]: Taking taylor expansion of 1.0 in k 2.951 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.951 * [taylor]: Taking taylor expansion of k in k 2.961 * [taylor]: Taking taylor expansion of 0 in k 2.968 * [taylor]: Taking taylor expansion of 0 in k 2.981 * [taylor]: Taking taylor expansion of 0 in k 2.982 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in (n k) around 0 2.982 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in k 2.982 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.982 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.982 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in k 2.982 * [taylor]: Taking taylor expansion of 0.125 in k 2.982 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.982 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.982 * [taylor]: Taking taylor expansion of k in k 2.983 * [taylor]: Taking taylor expansion of 1.0 in k 2.983 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.983 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.983 * [taylor]: Taking taylor expansion of -2.0 in k 2.983 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.983 * [taylor]: Taking taylor expansion of PI in k 2.983 * [taylor]: Taking taylor expansion of n in k 2.983 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 2.984 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.984 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.984 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 2.984 * [taylor]: Taking taylor expansion of 0.125 in n 2.984 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.984 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.984 * [taylor]: Taking taylor expansion of k in n 2.984 * [taylor]: Taking taylor expansion of 1.0 in n 2.984 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.984 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.984 * [taylor]: Taking taylor expansion of -2.0 in n 2.984 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.984 * [taylor]: Taking taylor expansion of PI in n 2.984 * [taylor]: Taking taylor expansion of n in n 2.987 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 2.987 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.987 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.987 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 2.987 * [taylor]: Taking taylor expansion of 0.125 in n 2.987 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.988 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.988 * [taylor]: Taking taylor expansion of k in n 2.988 * [taylor]: Taking taylor expansion of 1.0 in n 2.988 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.988 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.988 * [taylor]: Taking taylor expansion of -2.0 in n 2.988 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.988 * [taylor]: Taking taylor expansion of PI in n 2.988 * [taylor]: Taking taylor expansion of n in n 2.991 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.991 * [taylor]: Taking taylor expansion of (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.991 * [taylor]: Taking taylor expansion of 0.125 in k 2.991 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.991 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.991 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.991 * [taylor]: Taking taylor expansion of k in k 2.992 * [taylor]: Taking taylor expansion of 1.0 in k 2.992 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.992 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.992 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.992 * [taylor]: Taking taylor expansion of -2.0 in k 2.992 * [taylor]: Taking taylor expansion of PI in k 2.993 * [taylor]: Taking taylor expansion of (log n) in k 2.993 * [taylor]: Taking taylor expansion of n in k 3.002 * [taylor]: Taking taylor expansion of 0 in k 3.009 * [taylor]: Taking taylor expansion of 0 in k 3.018 * [taylor]: Taking taylor expansion of 0 in k 3.019 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 3.019 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.019 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.019 * [taylor]: Taking taylor expansion of 2.0 in n 3.019 * [taylor]: Taking taylor expansion of (* n PI) in n 3.019 * [taylor]: Taking taylor expansion of n in n 3.019 * [taylor]: Taking taylor expansion of PI in n 3.019 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.019 * [taylor]: Taking taylor expansion of 2.0 in n 3.019 * [taylor]: Taking taylor expansion of (* n PI) in n 3.019 * [taylor]: Taking taylor expansion of n in n 3.019 * [taylor]: Taking taylor expansion of PI in n 3.032 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.032 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.032 * [taylor]: Taking taylor expansion of 2.0 in n 3.032 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.032 * [taylor]: Taking taylor expansion of PI in n 3.032 * [taylor]: Taking taylor expansion of n in n 3.033 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.033 * [taylor]: Taking taylor expansion of 2.0 in n 3.033 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.033 * [taylor]: Taking taylor expansion of PI in n 3.033 * [taylor]: Taking taylor expansion of n in n 3.042 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.042 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.042 * [taylor]: Taking taylor expansion of -2.0 in n 3.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.042 * [taylor]: Taking taylor expansion of PI in n 3.042 * [taylor]: Taking taylor expansion of n in n 3.042 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.042 * [taylor]: Taking taylor expansion of -2.0 in n 3.042 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.042 * [taylor]: Taking taylor expansion of PI in n 3.042 * [taylor]: Taking taylor expansion of n in n 3.051 * * * [progress]: simplifying candidates 3.066 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (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) 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(+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 (sqrt 2.0)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1 1) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 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n) (/ (/ (- 1.0 k) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 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) 2.0) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt (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)) (pow (* (* 2.0 PI) n) (/ (/ (/ (/ (- 1.0 k) 2.0) 2) 2) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0078125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.0078125 (* (pow k 2) (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (* 0.015625 (* (pow k 2) (* (log (* 2.0 PI)) (* (log n) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0078125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.0078125 (* (pow k 2) (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (* 0.015625 (* (pow k 2) (* (log (* 2.0 PI)) (* (log n) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.090 * * [simplify]: iteration 0 : 1865 enodes (cost 5377 ) 3.112 * * [simplify]: iteration 1 : 5002 enodes (cost 5187 ) 3.135 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 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)) (* (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 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 (* (* 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n) 1/2) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (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))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (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))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (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 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (/ (/ (- 1.0 k) 2.0) 4) (log (* (* 2.0 PI) n))) (exp (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 4) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 4) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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) (+ (fma (* 0.03125 (pow k 2)) (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (- (fma (* 0.0625 (pow k 2)) (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 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)))))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (pow (* (* 2.0 PI) n) 0.125) (+ (fma (* 0.0078125 (pow k 2)) (* (pow (exp 0.125) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (fma (* 0.0078125 (pow k 2)) (* (pow (log n) 2) (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (* (* 0.015625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 0.125) (log (* (* 2.0 PI) n))))))) (* (- 0.125) (fma (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log n) (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (pow (* (* 2.0 PI) n) 0.125) (+ (fma (* 0.0078125 (pow k 2)) (* (pow (exp 0.125) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (fma (* 0.0078125 (pow k 2)) (* (pow (log n) 2) (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (* (* 0.015625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 0.125) (log (* (* 2.0 PI) n))))))) (* (- 0.125) (fma (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log n) (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 3.138 * * * [progress]: adding candidates to table 5.369 * * [progress]: iteration 4 / 4 5.369 * * * [progress]: picking best candidate 5.390 * * * * [pick]: Picked # 5.390 * * * [progress]: localizing error 5.409 * * * [progress]: generating rewritten candidates 5.409 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 5.419 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 5.425 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 5.428 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 5.435 * * * [progress]: generating series expansions 5.435 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 5.436 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.436 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.436 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.436 * [taylor]: Taking taylor expansion of 0.5 in k 5.436 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.436 * [taylor]: Taking taylor expansion of 1.0 in k 5.436 * [taylor]: Taking taylor expansion of k in k 5.436 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.436 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.436 * [taylor]: Taking taylor expansion of 2.0 in k 5.436 * [taylor]: Taking taylor expansion of (* n PI) in k 5.436 * [taylor]: Taking taylor expansion of n in k 5.436 * [taylor]: Taking taylor expansion of PI in k 5.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.437 * [taylor]: Taking taylor expansion of 0.5 in n 5.437 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.437 * [taylor]: Taking taylor expansion of 1.0 in n 5.437 * [taylor]: Taking taylor expansion of k in n 5.437 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.437 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.438 * [taylor]: Taking taylor expansion of 2.0 in n 5.438 * [taylor]: Taking taylor expansion of (* n PI) in n 5.438 * [taylor]: Taking taylor expansion of n in n 5.438 * [taylor]: Taking taylor expansion of PI in n 5.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.443 * [taylor]: Taking taylor expansion of 0.5 in n 5.443 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.443 * [taylor]: Taking taylor expansion of 1.0 in n 5.443 * [taylor]: Taking taylor expansion of k in n 5.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.443 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.443 * [taylor]: Taking taylor expansion of 2.0 in n 5.443 * [taylor]: Taking taylor expansion of (* n PI) in n 5.443 * [taylor]: Taking taylor expansion of n in n 5.443 * [taylor]: Taking taylor expansion of PI in n 5.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.450 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.450 * [taylor]: Taking taylor expansion of 0.5 in k 5.450 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.450 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.450 * [taylor]: Taking taylor expansion of 1.0 in k 5.450 * [taylor]: Taking taylor expansion of k in k 5.450 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.450 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.450 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.450 * [taylor]: Taking taylor expansion of 2.0 in k 5.450 * [taylor]: Taking taylor expansion of PI in k 5.451 * [taylor]: Taking taylor expansion of (log n) in k 5.451 * [taylor]: Taking taylor expansion of n in k 5.460 * [taylor]: Taking taylor expansion of 0 in k 5.476 * [taylor]: Taking taylor expansion of 0 in k 5.502 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.502 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.502 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.502 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.502 * [taylor]: Taking taylor expansion of 0.5 in k 5.502 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.502 * [taylor]: Taking taylor expansion of 1.0 in k 5.502 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.502 * [taylor]: Taking taylor expansion of k in k 5.502 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.503 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.503 * [taylor]: Taking taylor expansion of 2.0 in k 5.503 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.503 * [taylor]: Taking taylor expansion of PI in k 5.503 * [taylor]: Taking taylor expansion of n in k 5.504 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.504 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.504 * [taylor]: Taking taylor expansion of 0.5 in n 5.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.504 * [taylor]: Taking taylor expansion of 1.0 in n 5.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.504 * [taylor]: Taking taylor expansion of k in n 5.504 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.504 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.504 * [taylor]: Taking taylor expansion of 2.0 in n 5.504 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.504 * [taylor]: Taking taylor expansion of PI in n 5.504 * [taylor]: Taking taylor expansion of n in n 5.508 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.508 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.508 * [taylor]: Taking taylor expansion of 0.5 in n 5.508 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.508 * [taylor]: Taking taylor expansion of 1.0 in n 5.508 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.508 * [taylor]: Taking taylor expansion of k in n 5.508 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.508 * [taylor]: Taking taylor expansion of 2.0 in n 5.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.508 * [taylor]: Taking taylor expansion of PI in n 5.508 * [taylor]: Taking taylor expansion of n in n 5.512 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.512 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.512 * [taylor]: Taking taylor expansion of 0.5 in k 5.512 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.512 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.512 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.512 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.512 * [taylor]: Taking taylor expansion of 2.0 in k 5.512 * [taylor]: Taking taylor expansion of PI in k 5.513 * [taylor]: Taking taylor expansion of (log n) in k 5.513 * [taylor]: Taking taylor expansion of n in k 5.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.513 * [taylor]: Taking taylor expansion of 1.0 in k 5.513 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.513 * [taylor]: Taking taylor expansion of k in k 5.523 * [taylor]: Taking taylor expansion of 0 in k 5.530 * [taylor]: Taking taylor expansion of 0 in k 5.539 * [taylor]: Taking taylor expansion of 0 in k 5.541 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.541 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.541 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.541 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.541 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.541 * [taylor]: Taking taylor expansion of 0.5 in k 5.541 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.541 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.541 * [taylor]: Taking taylor expansion of k in k 5.541 * [taylor]: Taking taylor expansion of 1.0 in k 5.541 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.541 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.541 * [taylor]: Taking taylor expansion of -2.0 in k 5.541 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.541 * [taylor]: Taking taylor expansion of PI in k 5.541 * [taylor]: Taking taylor expansion of n in k 5.542 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.542 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.542 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.542 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.542 * [taylor]: Taking taylor expansion of 0.5 in n 5.542 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.542 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.542 * [taylor]: Taking taylor expansion of k in n 5.542 * [taylor]: Taking taylor expansion of 1.0 in n 5.542 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.542 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.542 * [taylor]: Taking taylor expansion of -2.0 in n 5.542 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.542 * [taylor]: Taking taylor expansion of PI in n 5.542 * [taylor]: Taking taylor expansion of n in n 5.546 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.546 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.546 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.546 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.546 * [taylor]: Taking taylor expansion of 0.5 in n 5.546 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.546 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.546 * [taylor]: Taking taylor expansion of k in n 5.546 * [taylor]: Taking taylor expansion of 1.0 in n 5.546 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.546 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.546 * [taylor]: Taking taylor expansion of -2.0 in n 5.546 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.546 * [taylor]: Taking taylor expansion of PI in n 5.546 * [taylor]: Taking taylor expansion of n in n 5.550 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.550 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.550 * [taylor]: Taking taylor expansion of 0.5 in k 5.550 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.550 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.550 * [taylor]: Taking taylor expansion of k in k 5.551 * [taylor]: Taking taylor expansion of 1.0 in k 5.551 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.551 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.551 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.551 * [taylor]: Taking taylor expansion of -2.0 in k 5.551 * [taylor]: Taking taylor expansion of PI in k 5.552 * [taylor]: Taking taylor expansion of (log n) in k 5.552 * [taylor]: Taking taylor expansion of n in k 5.561 * [taylor]: Taking taylor expansion of 0 in k 5.567 * [taylor]: Taking taylor expansion of 0 in k 5.583 * [taylor]: Taking taylor expansion of 0 in k 5.584 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.584 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.584 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.584 * [taylor]: Taking taylor expansion of 2.0 in n 5.584 * [taylor]: Taking taylor expansion of (* n PI) in n 5.584 * [taylor]: Taking taylor expansion of n in n 5.584 * [taylor]: Taking taylor expansion of PI in n 5.584 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.584 * [taylor]: Taking taylor expansion of 2.0 in n 5.584 * [taylor]: Taking taylor expansion of (* n PI) in n 5.584 * [taylor]: Taking taylor expansion of n in n 5.584 * [taylor]: Taking taylor expansion of PI in n 5.597 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.597 * [taylor]: Taking taylor expansion of 2.0 in n 5.597 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.597 * [taylor]: Taking taylor expansion of PI in n 5.597 * [taylor]: Taking taylor expansion of n in n 5.598 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.598 * [taylor]: Taking taylor expansion of 2.0 in n 5.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.598 * [taylor]: Taking taylor expansion of PI in n 5.598 * [taylor]: Taking taylor expansion of n in n 5.607 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.607 * [taylor]: Taking taylor expansion of -2.0 in n 5.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.607 * [taylor]: Taking taylor expansion of PI in n 5.607 * [taylor]: Taking taylor expansion of n in n 5.607 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.607 * [taylor]: Taking taylor expansion of -2.0 in n 5.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.607 * [taylor]: Taking taylor expansion of PI in n 5.607 * [taylor]: Taking taylor expansion of n in n 5.616 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.616 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.616 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.616 * [taylor]: Taking taylor expansion of 1.0 in k 5.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.616 * [taylor]: Taking taylor expansion of k in k 5.617 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.618 * [taylor]: Taking taylor expansion of 1.0 in k 5.618 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.618 * [taylor]: Taking taylor expansion of k in k 5.629 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.629 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.629 * [taylor]: Taking taylor expansion of 1.0 in k 5.629 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.629 * [taylor]: Taking taylor expansion of k in k 5.630 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.630 * [taylor]: Taking taylor expansion of 1.0 in k 5.630 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.630 * [taylor]: Taking taylor expansion of k in k 5.640 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.640 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.640 * [taylor]: Taking taylor expansion of 1.0 in k 5.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.640 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.641 * [taylor]: Taking taylor expansion of -1 in k 5.641 * [taylor]: Taking taylor expansion of k in k 5.642 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.642 * [taylor]: Taking taylor expansion of 1.0 in k 5.642 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.642 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.642 * [taylor]: Taking taylor expansion of -1 in k 5.642 * [taylor]: Taking taylor expansion of k in k 5.654 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 5.654 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.654 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.655 * [taylor]: Taking taylor expansion of 1.0 in k 5.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.655 * [taylor]: Taking taylor expansion of k in k 5.656 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.656 * [taylor]: Taking taylor expansion of 1.0 in k 5.656 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.656 * [taylor]: Taking taylor expansion of k in k 5.673 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.673 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.673 * [taylor]: Taking taylor expansion of 1.0 in k 5.673 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.673 * [taylor]: Taking taylor expansion of k in k 5.675 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.675 * [taylor]: Taking taylor expansion of 1.0 in k 5.675 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.675 * [taylor]: Taking taylor expansion of k in k 5.685 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.685 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.685 * [taylor]: Taking taylor expansion of 1.0 in k 5.685 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.685 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.685 * [taylor]: Taking taylor expansion of -1 in k 5.685 * [taylor]: Taking taylor expansion of k in k 5.686 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.687 * [taylor]: Taking taylor expansion of 1.0 in k 5.687 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.687 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.687 * [taylor]: Taking taylor expansion of -1 in k 5.687 * [taylor]: Taking taylor expansion of k in k 5.699 * * * [progress]: simplifying candidates 5.701 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 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))))) 5.707 * * [simplify]: iteration 0 : 579 enodes (cost 912 ) 5.717 * * [simplify]: iteration 1 : 2248 enodes (cost 843 ) 5.757 * * [simplify]: iteration 2 : 5001 enodes (cost 807 ) 5.762 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) 5.763 * * * [progress]: adding candidates to table 6.218 * [progress]: [Phase 3 of 3] Extracting. 6.218 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 6.222 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 6.222 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 6.262 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 6.306 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 6.343 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 6.382 * * * [regime]: Found split indices: #