23.222 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.145 * * * [progress]: [2/2] Setting up program. 0.148 * [progress]: [Phase 2 of 3] Improving. 0.148 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.150 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.152 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.153 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.156 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.161 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.184 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.184 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.185 * * [progress]: iteration 1 / 4 0.185 * * * [progress]: picking best candidate 0.187 * * * * [pick]: Picked # 0.187 * * * [progress]: localizing error 0.200 * * * [progress]: generating rewritten candidates 0.200 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.219 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.241 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.241 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.241 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.241 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.241 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.241 * [taylor]: Taking taylor expansion of 0.5 in k 0.241 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.241 * [taylor]: Taking taylor expansion of 1.0 in k 0.241 * [taylor]: Taking taylor expansion of k in k 0.241 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.241 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.241 * [taylor]: Taking taylor expansion of 2.0 in k 0.241 * [taylor]: Taking taylor expansion of (* n PI) in k 0.241 * [taylor]: Taking taylor expansion of n in k 0.241 * [taylor]: Taking taylor expansion of PI in k 0.242 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.242 * [taylor]: Taking taylor expansion of 0.5 in n 0.242 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.242 * [taylor]: Taking taylor expansion of 1.0 in n 0.242 * [taylor]: Taking taylor expansion of k in n 0.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.242 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.243 * [taylor]: Taking taylor expansion of 2.0 in n 0.243 * [taylor]: Taking taylor expansion of (* n PI) in n 0.243 * [taylor]: Taking taylor expansion of n in n 0.243 * [taylor]: Taking taylor expansion of PI in n 0.249 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.249 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.249 * [taylor]: Taking taylor expansion of 0.5 in n 0.249 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.249 * [taylor]: Taking taylor expansion of 1.0 in n 0.249 * [taylor]: Taking taylor expansion of k in n 0.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.249 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.249 * [taylor]: Taking taylor expansion of 2.0 in n 0.249 * [taylor]: Taking taylor expansion of (* n PI) in n 0.249 * [taylor]: Taking taylor expansion of n in n 0.249 * [taylor]: Taking taylor expansion of PI in n 0.254 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.254 * [taylor]: Taking taylor expansion of 0.5 in k 0.254 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.254 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.254 * [taylor]: Taking taylor expansion of 1.0 in k 0.254 * [taylor]: Taking taylor expansion of k in k 0.255 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.255 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.255 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.255 * [taylor]: Taking taylor expansion of 2.0 in k 0.255 * [taylor]: Taking taylor expansion of PI in k 0.256 * [taylor]: Taking taylor expansion of (log n) in k 0.256 * [taylor]: Taking taylor expansion of n in k 0.265 * [taylor]: Taking taylor expansion of 0 in k 0.281 * [taylor]: Taking taylor expansion of 0 in k 0.301 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.301 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.301 * [taylor]: Taking taylor expansion of 0.5 in k 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.301 * [taylor]: Taking taylor expansion of 2.0 in k 0.301 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.301 * [taylor]: Taking taylor expansion of PI in k 0.301 * [taylor]: Taking taylor expansion of n in k 0.302 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.302 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.302 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.302 * [taylor]: Taking taylor expansion of 0.5 in n 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.302 * [taylor]: Taking taylor expansion of 1.0 in n 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.302 * [taylor]: Taking taylor expansion of k in n 0.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.302 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.302 * [taylor]: Taking taylor expansion of 2.0 in n 0.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.303 * [taylor]: Taking taylor expansion of PI in n 0.303 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.306 * [taylor]: Taking taylor expansion of 0.5 in n 0.306 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.306 * [taylor]: Taking taylor expansion of 1.0 in n 0.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.306 * [taylor]: Taking taylor expansion of k in n 0.306 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.307 * [taylor]: Taking taylor expansion of 2.0 in n 0.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.310 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.310 * [taylor]: Taking taylor expansion of 0.5 in k 0.310 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.310 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.310 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.310 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.310 * [taylor]: Taking taylor expansion of 2.0 in k 0.310 * [taylor]: Taking taylor expansion of PI in k 0.311 * [taylor]: Taking taylor expansion of (log n) in k 0.311 * [taylor]: Taking taylor expansion of n in k 0.311 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.312 * [taylor]: Taking taylor expansion of 1.0 in k 0.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.312 * [taylor]: Taking taylor expansion of k in k 0.328 * [taylor]: Taking taylor expansion of 0 in k 0.335 * [taylor]: Taking taylor expansion of 0 in k 0.344 * [taylor]: Taking taylor expansion of 0 in k 0.346 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.346 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.346 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.346 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.346 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.346 * [taylor]: Taking taylor expansion of 0.5 in k 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.346 * [taylor]: Taking taylor expansion of k in k 0.346 * [taylor]: Taking taylor expansion of 1.0 in k 0.346 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.346 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.346 * [taylor]: Taking taylor expansion of -2.0 in k 0.346 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.346 * [taylor]: Taking taylor expansion of PI in k 0.346 * [taylor]: Taking taylor expansion of n in k 0.347 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.347 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.347 * [taylor]: Taking taylor expansion of 0.5 in n 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.347 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.347 * [taylor]: Taking taylor expansion of k in n 0.347 * [taylor]: Taking taylor expansion of 1.0 in n 0.347 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.347 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.347 * [taylor]: Taking taylor expansion of -2.0 in n 0.347 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.347 * [taylor]: Taking taylor expansion of PI in n 0.347 * [taylor]: Taking taylor expansion of n in n 0.351 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.351 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.351 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.351 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.351 * [taylor]: Taking taylor expansion of 0.5 in n 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.351 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.351 * [taylor]: Taking taylor expansion of k in n 0.351 * [taylor]: Taking taylor expansion of 1.0 in n 0.351 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.351 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.351 * [taylor]: Taking taylor expansion of -2.0 in n 0.351 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.351 * [taylor]: Taking taylor expansion of PI in n 0.351 * [taylor]: Taking taylor expansion of n in n 0.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.355 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.355 * [taylor]: Taking taylor expansion of 0.5 in k 0.355 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.355 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.355 * [taylor]: Taking taylor expansion of k in k 0.355 * [taylor]: Taking taylor expansion of 1.0 in k 0.355 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.355 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.355 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.355 * [taylor]: Taking taylor expansion of -2.0 in k 0.355 * [taylor]: Taking taylor expansion of PI in k 0.356 * [taylor]: Taking taylor expansion of (log n) in k 0.356 * [taylor]: Taking taylor expansion of n in k 0.365 * [taylor]: Taking taylor expansion of 0 in k 0.373 * [taylor]: Taking taylor expansion of 0 in k 0.382 * [taylor]: Taking taylor expansion of 0 in k 0.383 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.383 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.383 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.383 * [taylor]: Taking taylor expansion of 1.0 in k 0.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.383 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.383 * [taylor]: Taking taylor expansion of k in k 0.384 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.384 * [taylor]: Taking taylor expansion of 1.0 in k 0.384 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.384 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.384 * [taylor]: Taking taylor expansion of k in k 0.396 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.396 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.396 * [taylor]: Taking taylor expansion of 1.0 in k 0.396 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.396 * [taylor]: Taking taylor expansion of k in k 0.397 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.397 * [taylor]: Taking taylor expansion of 1.0 in k 0.397 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.397 * [taylor]: Taking taylor expansion of k in k 0.413 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.413 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.413 * [taylor]: Taking taylor expansion of 1.0 in k 0.413 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.413 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.413 * [taylor]: Taking taylor expansion of -1 in k 0.413 * [taylor]: Taking taylor expansion of k in k 0.414 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.414 * [taylor]: Taking taylor expansion of 1.0 in k 0.414 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.414 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.414 * [taylor]: Taking taylor expansion of -1 in k 0.414 * [taylor]: Taking taylor expansion of k in k 0.426 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.426 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.426 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.426 * [taylor]: Taking taylor expansion of 2.0 in n 0.426 * [taylor]: Taking taylor expansion of (* n PI) in n 0.426 * [taylor]: Taking taylor expansion of n in n 0.426 * [taylor]: Taking taylor expansion of PI in n 0.426 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.427 * [taylor]: Taking taylor expansion of 2.0 in n 0.427 * [taylor]: Taking taylor expansion of (* n PI) in n 0.427 * [taylor]: Taking taylor expansion of n in n 0.427 * [taylor]: Taking taylor expansion of PI in n 0.439 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.439 * [taylor]: Taking taylor expansion of 2.0 in n 0.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.439 * [taylor]: Taking taylor expansion of PI in n 0.439 * [taylor]: Taking taylor expansion of n in n 0.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.439 * [taylor]: Taking taylor expansion of 2.0 in n 0.439 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.440 * [taylor]: Taking taylor expansion of PI in n 0.440 * [taylor]: Taking taylor expansion of n in n 0.448 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.449 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.449 * [taylor]: Taking taylor expansion of -2.0 in n 0.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.449 * [taylor]: Taking taylor expansion of PI in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.449 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.449 * [taylor]: Taking taylor expansion of -2.0 in n 0.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.449 * [taylor]: Taking taylor expansion of PI in n 0.449 * [taylor]: Taking taylor expansion of n in n 0.457 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.458 * [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 0.458 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.458 * [taylor]: Taking taylor expansion of 1.0 in n 0.458 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.458 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.458 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.458 * [taylor]: Taking taylor expansion of k in n 0.458 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.458 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.458 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.458 * [taylor]: Taking taylor expansion of 0.5 in n 0.458 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.458 * [taylor]: Taking taylor expansion of 1.0 in n 0.458 * [taylor]: Taking taylor expansion of k in n 0.458 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.458 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.458 * [taylor]: Taking taylor expansion of 2.0 in n 0.458 * [taylor]: Taking taylor expansion of (* n PI) in n 0.459 * [taylor]: Taking taylor expansion of n in n 0.459 * [taylor]: Taking taylor expansion of PI in n 0.464 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.464 * [taylor]: Taking taylor expansion of 1.0 in k 0.464 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.464 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.464 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.464 * [taylor]: Taking taylor expansion of k in k 0.465 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.465 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.465 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.465 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.465 * [taylor]: Taking taylor expansion of 0.5 in k 0.465 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.465 * [taylor]: Taking taylor expansion of 1.0 in k 0.465 * [taylor]: Taking taylor expansion of k in k 0.465 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.465 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.465 * [taylor]: Taking taylor expansion of 2.0 in k 0.465 * [taylor]: Taking taylor expansion of (* n PI) in k 0.465 * [taylor]: Taking taylor expansion of n in k 0.465 * [taylor]: Taking taylor expansion of PI in k 0.466 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.466 * [taylor]: Taking taylor expansion of 1.0 in k 0.466 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.466 * [taylor]: Taking taylor expansion of k in k 0.468 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.468 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.468 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.468 * [taylor]: Taking taylor expansion of 0.5 in k 0.468 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.468 * [taylor]: Taking taylor expansion of 1.0 in k 0.468 * [taylor]: Taking taylor expansion of k in k 0.468 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.468 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.468 * [taylor]: Taking taylor expansion of 2.0 in k 0.468 * [taylor]: Taking taylor expansion of (* n PI) in k 0.468 * [taylor]: Taking taylor expansion of n in k 0.468 * [taylor]: Taking taylor expansion of PI in k 0.469 * [taylor]: Taking taylor expansion of 0 in n 0.475 * [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 0.475 * [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 0.475 * [taylor]: Taking taylor expansion of +nan.0 in n 0.475 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.475 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.475 * [taylor]: Taking taylor expansion of 0.5 in n 0.475 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.475 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.475 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.475 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.475 * [taylor]: Taking taylor expansion of 1.0 in n 0.475 * [taylor]: Taking taylor expansion of (log PI) in n 0.475 * [taylor]: Taking taylor expansion of PI in n 0.477 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.477 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.477 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.477 * [taylor]: Taking taylor expansion of 1.0 in n 0.477 * [taylor]: Taking taylor expansion of (log n) in n 0.477 * [taylor]: Taking taylor expansion of n in n 0.477 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.477 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.478 * [taylor]: Taking taylor expansion of 1.0 in n 0.478 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.478 * [taylor]: Taking taylor expansion of 2.0 in n 0.503 * [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 0.503 * [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 0.503 * [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 0.503 * [taylor]: Taking taylor expansion of +nan.0 in n 0.503 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.503 * [taylor]: Taking taylor expansion of 0.5 in n 0.503 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.503 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.503 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.503 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.503 * [taylor]: Taking taylor expansion of 1.0 in n 0.503 * [taylor]: Taking taylor expansion of (log PI) in n 0.503 * [taylor]: Taking taylor expansion of PI in n 0.505 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.505 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.505 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.505 * [taylor]: Taking taylor expansion of 1.0 in n 0.505 * [taylor]: Taking taylor expansion of (log n) in n 0.505 * [taylor]: Taking taylor expansion of n in n 0.506 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.506 * [taylor]: Taking taylor expansion of 2.0 in n 0.511 * [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 0.511 * [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 0.511 * [taylor]: Taking taylor expansion of +nan.0 in n 0.511 * [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 0.511 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.511 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.511 * [taylor]: Taking taylor expansion of 0.5 in n 0.511 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.511 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.511 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.511 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.511 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.511 * [taylor]: Taking taylor expansion of 1.0 in n 0.511 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.511 * [taylor]: Taking taylor expansion of 2.0 in n 0.513 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.513 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.513 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.513 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.513 * [taylor]: Taking taylor expansion of 1.0 in n 0.513 * [taylor]: Taking taylor expansion of (log PI) in n 0.513 * [taylor]: Taking taylor expansion of PI in n 0.515 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.515 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.515 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.515 * [taylor]: Taking taylor expansion of 1.0 in n 0.515 * [taylor]: Taking taylor expansion of (log n) in n 0.515 * [taylor]: Taking taylor expansion of n in n 0.519 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.519 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.519 * [taylor]: Taking taylor expansion of 2.0 in n 0.519 * [taylor]: Taking taylor expansion of (* n PI) in n 0.519 * [taylor]: Taking taylor expansion of n in n 0.519 * [taylor]: Taking taylor expansion of PI in n 0.569 * [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 0.569 * [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 0.569 * [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 0.569 * [taylor]: Taking taylor expansion of +nan.0 in n 0.569 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.569 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.569 * [taylor]: Taking taylor expansion of 0.5 in n 0.569 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.569 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.569 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.569 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.569 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.569 * [taylor]: Taking taylor expansion of 1.0 in n 0.569 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.569 * [taylor]: Taking taylor expansion of 2.0 in n 0.571 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.571 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.571 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.571 * [taylor]: Taking taylor expansion of 1.0 in n 0.571 * [taylor]: Taking taylor expansion of (log n) in n 0.571 * [taylor]: Taking taylor expansion of n in n 0.571 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.571 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.572 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.572 * [taylor]: Taking taylor expansion of 1.0 in n 0.572 * [taylor]: Taking taylor expansion of (log PI) in n 0.572 * [taylor]: Taking taylor expansion of PI in n 0.577 * [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 0.577 * [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 0.577 * [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 0.577 * [taylor]: Taking taylor expansion of +nan.0 in n 0.577 * [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 0.577 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.577 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.577 * [taylor]: Taking taylor expansion of 0.5 in n 0.577 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.577 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.577 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.577 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.577 * [taylor]: Taking taylor expansion of 1.0 in n 0.577 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.577 * [taylor]: Taking taylor expansion of 2.0 in n 0.579 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.579 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.579 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of (log PI) in n 0.579 * [taylor]: Taking taylor expansion of PI in n 0.586 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.586 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.586 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.586 * [taylor]: Taking taylor expansion of 1.0 in n 0.586 * [taylor]: Taking taylor expansion of (log n) in n 0.586 * [taylor]: Taking taylor expansion of n in n 0.590 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.590 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.590 * [taylor]: Taking taylor expansion of 2.0 in n 0.591 * [taylor]: Taking taylor expansion of (* n PI) in n 0.591 * [taylor]: Taking taylor expansion of n in n 0.591 * [taylor]: Taking taylor expansion of PI in n 0.594 * [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 0.594 * [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 0.594 * [taylor]: Taking taylor expansion of +nan.0 in n 0.594 * [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 0.594 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.594 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.594 * [taylor]: Taking taylor expansion of 0.5 in n 0.594 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.594 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.594 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.594 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.594 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.594 * [taylor]: Taking taylor expansion of 1.0 in n 0.594 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.594 * [taylor]: Taking taylor expansion of 2.0 in n 0.596 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.596 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log PI) in n 0.596 * [taylor]: Taking taylor expansion of PI in n 0.598 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.598 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.598 * [taylor]: Taking taylor expansion of 1.0 in n 0.598 * [taylor]: Taking taylor expansion of (log n) in n 0.598 * [taylor]: Taking taylor expansion of n in n 0.602 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.602 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.602 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.602 * [taylor]: Taking taylor expansion of 2.0 in n 0.602 * [taylor]: Taking taylor expansion of (* n PI) in n 0.602 * [taylor]: Taking taylor expansion of n in n 0.602 * [taylor]: Taking taylor expansion of PI in n 0.680 * [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 0.680 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.680 * [taylor]: Taking taylor expansion of 1.0 in n 0.680 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.681 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.681 * [taylor]: Taking taylor expansion of k in n 0.681 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.681 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.681 * [taylor]: Taking taylor expansion of 0.5 in n 0.681 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.681 * [taylor]: Taking taylor expansion of 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 (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 0.684 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.685 * [taylor]: Taking taylor expansion of 1.0 in k 0.685 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.685 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.685 * [taylor]: Taking taylor expansion of k in k 0.686 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.686 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.686 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.686 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.686 * [taylor]: Taking taylor expansion of 0.5 in k 0.686 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.686 * [taylor]: Taking taylor expansion of 1.0 in k 0.686 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.686 * [taylor]: Taking taylor expansion of k in k 0.686 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.686 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.686 * [taylor]: Taking taylor expansion of 2.0 in k 0.686 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.686 * [taylor]: Taking taylor expansion of PI in k 0.686 * [taylor]: Taking taylor expansion of n in k 0.687 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.687 * [taylor]: Taking taylor expansion of 1.0 in k 0.687 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.687 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.687 * [taylor]: Taking taylor expansion of k in k 0.688 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.688 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.688 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.688 * [taylor]: Taking taylor expansion of 0.5 in k 0.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.688 * [taylor]: Taking taylor expansion of 1.0 in k 0.689 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.689 * [taylor]: Taking taylor expansion of k in k 0.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.689 * [taylor]: Taking taylor expansion of 2.0 in k 0.689 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.689 * [taylor]: Taking taylor expansion of PI in k 0.689 * [taylor]: Taking taylor expansion of n in k 0.690 * [taylor]: Taking taylor expansion of 0 in n 0.691 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.691 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.691 * [taylor]: Taking taylor expansion of +nan.0 in n 0.691 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.691 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.691 * [taylor]: Taking taylor expansion of 0.5 in n 0.691 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.691 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.691 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.691 * [taylor]: Taking taylor expansion of 2.0 in n 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.691 * [taylor]: Taking taylor expansion of PI in n 0.691 * [taylor]: Taking taylor expansion of n in n 0.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.693 * [taylor]: Taking taylor expansion of 1.0 in n 0.693 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.693 * [taylor]: Taking taylor expansion of k in n 0.701 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.701 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.702 * [taylor]: Taking taylor expansion of +nan.0 in n 0.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.702 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.702 * [taylor]: Taking taylor expansion of 2.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.702 * [taylor]: Taking taylor expansion of PI in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.703 * [taylor]: Taking taylor expansion of 1.0 in n 0.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.703 * [taylor]: Taking taylor expansion of k in n 0.719 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.719 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.719 * [taylor]: Taking taylor expansion of +nan.0 in n 0.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.719 * [taylor]: Taking taylor expansion of 0.5 in n 0.719 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.719 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.719 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.719 * [taylor]: Taking taylor expansion of 2.0 in n 0.720 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.720 * [taylor]: Taking taylor expansion of PI in n 0.720 * [taylor]: Taking taylor expansion of n in n 0.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.721 * [taylor]: Taking taylor expansion of k in n 0.731 * [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 0.731 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.731 * [taylor]: Taking taylor expansion of 1.0 in n 0.731 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.731 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.731 * [taylor]: Taking taylor expansion of 0.5 in n 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.731 * [taylor]: Taking taylor expansion of k in n 0.731 * [taylor]: Taking taylor expansion of 1.0 in n 0.731 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.731 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.731 * [taylor]: Taking taylor expansion of -2.0 in n 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.731 * [taylor]: Taking taylor expansion of PI in n 0.731 * [taylor]: Taking taylor expansion of n in n 0.735 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.735 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.735 * [taylor]: Taking taylor expansion of -1 in n 0.735 * [taylor]: Taking taylor expansion of k in n 0.736 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.736 * [taylor]: Taking taylor expansion of 1.0 in k 0.736 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.736 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.736 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.736 * [taylor]: Taking taylor expansion of 0.5 in k 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.736 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.736 * [taylor]: Taking taylor expansion of k in k 0.736 * [taylor]: Taking taylor expansion of 1.0 in k 0.736 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.736 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.736 * [taylor]: Taking taylor expansion of -2.0 in k 0.736 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.736 * [taylor]: Taking taylor expansion of PI in k 0.736 * [taylor]: Taking taylor expansion of n in k 0.737 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.737 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.737 * [taylor]: Taking taylor expansion of -1 in k 0.737 * [taylor]: Taking taylor expansion of k in k 0.738 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.738 * [taylor]: Taking taylor expansion of 1.0 in k 0.738 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.738 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.739 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.739 * [taylor]: Taking taylor expansion of 0.5 in k 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.739 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.739 * [taylor]: Taking taylor expansion of k in k 0.739 * [taylor]: Taking taylor expansion of 1.0 in k 0.739 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.739 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.739 * [taylor]: Taking taylor expansion of -2.0 in k 0.739 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.739 * [taylor]: Taking taylor expansion of PI in k 0.739 * [taylor]: Taking taylor expansion of n in k 0.740 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.740 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.740 * [taylor]: Taking taylor expansion of -1 in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.741 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.742 * [taylor]: Taking taylor expansion of +nan.0 in n 0.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.742 * [taylor]: Taking taylor expansion of 0.5 in n 0.742 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.742 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.742 * [taylor]: Taking taylor expansion of k in n 0.742 * [taylor]: Taking taylor expansion of 1.0 in n 0.742 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.742 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.742 * [taylor]: Taking taylor expansion of -2.0 in n 0.742 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.742 * [taylor]: Taking taylor expansion of PI in n 0.742 * [taylor]: Taking taylor expansion of n in n 0.751 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.751 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.751 * [taylor]: Taking taylor expansion of +nan.0 in n 0.751 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.751 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.751 * [taylor]: Taking taylor expansion of 0.5 in n 0.751 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.751 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.751 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.751 * [taylor]: Taking taylor expansion of k in n 0.751 * [taylor]: Taking taylor expansion of 1.0 in n 0.751 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.751 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.751 * [taylor]: Taking taylor expansion of -2.0 in n 0.751 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.751 * [taylor]: Taking taylor expansion of PI in n 0.751 * [taylor]: Taking taylor expansion of n in n 0.775 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.775 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.775 * [taylor]: Taking taylor expansion of +nan.0 in n 0.775 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.775 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.775 * [taylor]: Taking taylor expansion of 0.5 in n 0.775 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.775 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.775 * [taylor]: Taking taylor expansion of k in n 0.775 * [taylor]: Taking taylor expansion of 1.0 in n 0.775 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.775 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.775 * [taylor]: Taking taylor expansion of -2.0 in n 0.775 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.775 * [taylor]: Taking taylor expansion of PI in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.785 * * * [progress]: simplifying candidates 0.787 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.887 * * * [progress]: adding candidates to table 1.461 * * [progress]: iteration 2 / 4 1.461 * * * [progress]: picking best candidate 1.489 * * * * [pick]: Picked # 1.489 * * * [progress]: localizing error 1.507 * * * [progress]: generating rewritten candidates 1.507 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.514 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.524 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.529 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.537 * * * [progress]: generating series expansions 1.537 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.538 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.538 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.538 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.538 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.538 * [taylor]: Taking taylor expansion of 0.5 in n 1.538 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.538 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.538 * [taylor]: Taking taylor expansion of 2.0 in n 1.538 * [taylor]: Taking taylor expansion of (* n PI) in n 1.538 * [taylor]: Taking taylor expansion of n in n 1.538 * [taylor]: Taking taylor expansion of PI in n 1.544 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.544 * [taylor]: Taking taylor expansion of 0.5 in n 1.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.544 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.544 * [taylor]: Taking taylor expansion of 2.0 in n 1.544 * [taylor]: Taking taylor expansion of (* n PI) in n 1.544 * [taylor]: Taking taylor expansion of n in n 1.544 * [taylor]: Taking taylor expansion of PI in n 1.627 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.627 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.627 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.627 * [taylor]: Taking taylor expansion of 0.5 in n 1.627 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.627 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.627 * [taylor]: Taking taylor expansion of 2.0 in n 1.627 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.627 * [taylor]: Taking taylor expansion of PI in n 1.627 * [taylor]: Taking taylor expansion of n in n 1.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.630 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.630 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.630 * [taylor]: Taking taylor expansion of 0.5 in n 1.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.630 * [taylor]: Taking taylor expansion of 2.0 in n 1.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.630 * [taylor]: Taking taylor expansion of PI in n 1.630 * [taylor]: Taking taylor expansion of n in n 1.711 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.711 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.711 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.711 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.711 * [taylor]: Taking taylor expansion of 0.5 in n 1.711 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.711 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.711 * [taylor]: Taking taylor expansion of -2.0 in n 1.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.711 * [taylor]: Taking taylor expansion of PI in n 1.711 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.714 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.714 * [taylor]: Taking taylor expansion of 0.5 in n 1.714 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.714 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.714 * [taylor]: Taking taylor expansion of -2.0 in n 1.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.715 * [taylor]: Taking taylor expansion of PI in n 1.715 * [taylor]: Taking taylor expansion of n in n 1.793 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.794 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in (n k) around 0 1.794 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.794 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.794 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.794 * [taylor]: Taking taylor expansion of 0.5 in k 1.794 * [taylor]: Taking taylor expansion of k in k 1.794 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.794 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.794 * [taylor]: Taking taylor expansion of 2.0 in k 1.794 * [taylor]: Taking taylor expansion of (* n PI) in k 1.794 * [taylor]: Taking taylor expansion of n in k 1.794 * [taylor]: Taking taylor expansion of PI in k 1.797 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.797 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.797 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.797 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.797 * [taylor]: Taking taylor expansion of 0.5 in n 1.797 * [taylor]: Taking taylor expansion of k in n 1.797 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.797 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.797 * [taylor]: Taking taylor expansion of 2.0 in n 1.797 * [taylor]: Taking taylor expansion of (* n PI) in n 1.797 * [taylor]: Taking taylor expansion of n in n 1.797 * [taylor]: Taking taylor expansion of PI in n 1.802 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.802 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.802 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.802 * [taylor]: Taking taylor expansion of 0.5 in n 1.802 * [taylor]: Taking taylor expansion of k in n 1.802 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.802 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.802 * [taylor]: Taking taylor expansion of 2.0 in n 1.802 * [taylor]: Taking taylor expansion of (* n PI) in n 1.802 * [taylor]: Taking taylor expansion of n in n 1.802 * [taylor]: Taking taylor expansion of PI in n 1.808 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.808 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.808 * [taylor]: Taking taylor expansion of 0.5 in k 1.808 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.808 * [taylor]: Taking taylor expansion of k in k 1.808 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.808 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.808 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.808 * [taylor]: Taking taylor expansion of 2.0 in k 1.808 * [taylor]: Taking taylor expansion of PI in k 1.809 * [taylor]: Taking taylor expansion of (log n) in k 1.809 * [taylor]: Taking taylor expansion of n in k 1.820 * [taylor]: Taking taylor expansion of 0 in k 1.829 * [taylor]: Taking taylor expansion of 0 in k 1.850 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in (n k) around 0 1.850 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.850 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.850 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.850 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.850 * [taylor]: Taking taylor expansion of 0.5 in k 1.850 * [taylor]: Taking taylor expansion of k in k 1.850 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.850 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.850 * [taylor]: Taking taylor expansion of 2.0 in k 1.850 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.850 * [taylor]: Taking taylor expansion of PI in k 1.850 * [taylor]: Taking taylor expansion of n in k 1.850 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.850 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.851 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.851 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.851 * [taylor]: Taking taylor expansion of 0.5 in n 1.851 * [taylor]: Taking taylor expansion of k in n 1.851 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.851 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.851 * [taylor]: Taking taylor expansion of 2.0 in n 1.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.851 * [taylor]: Taking taylor expansion of PI in n 1.851 * [taylor]: Taking taylor expansion of n in n 1.854 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.854 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.854 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.854 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.854 * [taylor]: Taking taylor expansion of 0.5 in n 1.854 * [taylor]: Taking taylor expansion of k in n 1.854 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.855 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.855 * [taylor]: Taking taylor expansion of 2.0 in n 1.855 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.855 * [taylor]: Taking taylor expansion of PI in n 1.855 * [taylor]: Taking taylor expansion of n in n 1.858 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.858 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.858 * [taylor]: Taking taylor expansion of 0.5 in k 1.858 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.858 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.858 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.858 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.858 * [taylor]: Taking taylor expansion of 2.0 in k 1.858 * [taylor]: Taking taylor expansion of PI in k 1.859 * [taylor]: Taking taylor expansion of (log n) in k 1.859 * [taylor]: Taking taylor expansion of n in k 1.859 * [taylor]: Taking taylor expansion of k in k 1.867 * [taylor]: Taking taylor expansion of 0 in k 1.874 * [taylor]: Taking taylor expansion of 0 in k 1.881 * [taylor]: Taking taylor expansion of 0 in k 1.883 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in (n k) around 0 1.883 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.883 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.883 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.883 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.883 * [taylor]: Taking taylor expansion of -0.5 in k 1.883 * [taylor]: Taking taylor expansion of k in k 1.883 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.883 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.883 * [taylor]: Taking taylor expansion of -2.0 in k 1.883 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.883 * [taylor]: Taking taylor expansion of PI in k 1.883 * [taylor]: Taking taylor expansion of n in k 1.883 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.884 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.884 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.884 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.884 * [taylor]: Taking taylor expansion of -0.5 in n 1.884 * [taylor]: Taking taylor expansion of k in n 1.884 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.884 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.884 * [taylor]: Taking taylor expansion of -2.0 in n 1.884 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.884 * [taylor]: Taking taylor expansion of PI in n 1.884 * [taylor]: Taking taylor expansion of n in n 1.887 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.887 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.887 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.887 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.887 * [taylor]: Taking taylor expansion of -0.5 in n 1.887 * [taylor]: Taking taylor expansion of k in n 1.887 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.887 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.887 * [taylor]: Taking taylor expansion of -2.0 in n 1.887 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.887 * [taylor]: Taking taylor expansion of PI in n 1.887 * [taylor]: Taking taylor expansion of n in n 1.891 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.891 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.891 * [taylor]: Taking taylor expansion of -0.5 in k 1.891 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.891 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.891 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.891 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.891 * [taylor]: Taking taylor expansion of -2.0 in k 1.891 * [taylor]: Taking taylor expansion of PI in k 1.892 * [taylor]: Taking taylor expansion of (log n) in k 1.892 * [taylor]: Taking taylor expansion of n in k 1.892 * [taylor]: Taking taylor expansion of k in k 1.900 * [taylor]: Taking taylor expansion of 0 in k 1.906 * [taylor]: Taking taylor expansion of 0 in k 1.914 * [taylor]: Taking taylor expansion of 0 in k 1.915 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.915 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.915 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.915 * [taylor]: Taking taylor expansion of 2.0 in n 1.916 * [taylor]: Taking taylor expansion of (* n PI) in n 1.916 * [taylor]: Taking taylor expansion of n in n 1.916 * [taylor]: Taking taylor expansion of PI in n 1.916 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.916 * [taylor]: Taking taylor expansion of 2.0 in n 1.916 * [taylor]: Taking taylor expansion of (* n PI) in n 1.916 * [taylor]: Taking taylor expansion of n in n 1.916 * [taylor]: Taking taylor expansion of PI in n 1.933 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.933 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.933 * [taylor]: Taking taylor expansion of 2.0 in n 1.933 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.933 * [taylor]: Taking taylor expansion of PI in n 1.933 * [taylor]: Taking taylor expansion of n in n 1.934 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.934 * [taylor]: Taking taylor expansion of 2.0 in n 1.934 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.934 * [taylor]: Taking taylor expansion of PI in n 1.934 * [taylor]: Taking taylor expansion of n in n 1.943 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.943 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.943 * [taylor]: Taking taylor expansion of -2.0 in n 1.943 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.943 * [taylor]: Taking taylor expansion of PI in n 1.943 * [taylor]: Taking taylor expansion of n in n 1.943 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.943 * [taylor]: Taking taylor expansion of -2.0 in n 1.943 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.943 * [taylor]: Taking taylor expansion of PI in n 1.943 * [taylor]: Taking taylor expansion of n in n 1.951 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.952 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.952 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.952 * [taylor]: Taking taylor expansion of 2.0 in n 1.952 * [taylor]: Taking taylor expansion of (* n PI) in n 1.952 * [taylor]: Taking taylor expansion of n in n 1.952 * [taylor]: Taking taylor expansion of PI in n 1.952 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.952 * [taylor]: Taking taylor expansion of 2.0 in n 1.952 * [taylor]: Taking taylor expansion of (* n PI) in n 1.952 * [taylor]: Taking taylor expansion of n in n 1.952 * [taylor]: Taking taylor expansion of PI in n 1.964 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.964 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.964 * [taylor]: Taking taylor expansion of 2.0 in n 1.964 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.964 * [taylor]: Taking taylor expansion of PI in n 1.964 * [taylor]: Taking taylor expansion of n in n 1.965 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.965 * [taylor]: Taking taylor expansion of 2.0 in n 1.965 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.965 * [taylor]: Taking taylor expansion of PI in n 1.965 * [taylor]: Taking taylor expansion of n in n 1.973 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.974 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.974 * [taylor]: Taking taylor expansion of -2.0 in n 1.974 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.974 * [taylor]: Taking taylor expansion of PI in n 1.974 * [taylor]: Taking taylor expansion of n in n 1.974 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.974 * [taylor]: Taking taylor expansion of -2.0 in n 1.974 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.974 * [taylor]: Taking taylor expansion of PI in n 1.974 * [taylor]: Taking taylor expansion of n in n 1.982 * * * [progress]: simplifying candidates 1.984 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (* 1 (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (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 (* (* 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) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (+ 1 (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (+ (* 0.5 (* k (log n))) (* 0.5 (* k (log (* 2.0 PI))))))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 1.990 * * [simplify]: iteration 0 : 463 enodes (cost 557 ) 1.998 * * [simplify]: iteration 1 : 1809 enodes (cost 510 ) 2.031 * * [simplify]: iteration 2 : 5001 enodes (cost 503 ) 2.034 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (/ k 2.0) (/ k 2.0) (/ k 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ k 2.0)) (cbrt (/ k 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt k) (cbrt k)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt k) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt k) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt k) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) k) (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)) (exp (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (pow (* (* 2.0 PI) n) (/ k 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (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) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (fma 1 1 (fma (* 0.125 (pow k 2)) (+ (pow (log n) 2) (pow (log (* 2.0 PI)) 2)) (fma (* (* 0.25 (pow k 2)) (log n)) (log (* 2.0 PI)) (* (* 0.5 k) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) (* 0.5 k)) (exp (* 0.5 (* 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) 2.034 * * * [progress]: adding candidates to table 2.342 * * [progress]: iteration 3 / 4 2.342 * * * [progress]: picking best candidate 2.370 * * * * [pick]: Picked # 2.370 * * * [progress]: localizing error 2.387 * * * [progress]: generating rewritten candidates 2.387 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 2.394 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 2.402 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.430 * * * [progress]: generating series expansions 2.430 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 2.431 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 2.431 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.431 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.431 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.431 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.431 * [taylor]: Taking taylor expansion of 0.5 in k 2.431 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.431 * [taylor]: Taking taylor expansion of 1.0 in k 2.431 * [taylor]: Taking taylor expansion of k in k 2.431 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.431 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.431 * [taylor]: Taking taylor expansion of 2.0 in k 2.431 * [taylor]: Taking taylor expansion of PI in k 2.436 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.436 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.436 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.436 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.436 * [taylor]: Taking taylor expansion of 0.5 in k 2.436 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.436 * [taylor]: Taking taylor expansion of 1.0 in k 2.436 * [taylor]: Taking taylor expansion of k in k 2.436 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.436 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.436 * [taylor]: Taking taylor expansion of 2.0 in k 2.436 * [taylor]: Taking taylor expansion of PI in k 2.483 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 2.483 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.483 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.484 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.484 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.484 * [taylor]: Taking taylor expansion of 0.5 in k 2.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.484 * [taylor]: Taking taylor expansion of 1.0 in k 2.484 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.484 * [taylor]: Taking taylor expansion of k in k 2.484 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.484 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.484 * [taylor]: Taking taylor expansion of 2.0 in k 2.484 * [taylor]: Taking taylor expansion of PI in k 2.487 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.487 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.487 * [taylor]: Taking taylor expansion of 0.5 in k 2.488 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.488 * [taylor]: Taking taylor expansion of 1.0 in k 2.488 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.488 * [taylor]: Taking taylor expansion of k in k 2.488 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.488 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.488 * [taylor]: Taking taylor expansion of 2.0 in k 2.488 * [taylor]: Taking taylor expansion of PI in k 2.500 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 2.500 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.500 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.500 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.500 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.500 * [taylor]: Taking taylor expansion of 0.5 in k 2.500 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.500 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.500 * [taylor]: Taking taylor expansion of k in k 2.500 * [taylor]: Taking taylor expansion of 1.0 in k 2.500 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.500 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.500 * [taylor]: Taking taylor expansion of 2.0 in k 2.500 * [taylor]: Taking taylor expansion of PI in k 2.504 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.504 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.504 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.504 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.504 * [taylor]: Taking taylor expansion of 0.5 in k 2.504 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.504 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.504 * [taylor]: Taking taylor expansion of k in k 2.504 * [taylor]: Taking taylor expansion of 1.0 in k 2.504 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.504 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.504 * [taylor]: Taking taylor expansion of 2.0 in k 2.504 * [taylor]: Taking taylor expansion of PI in k 2.509 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 2.509 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 2.509 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.509 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 2.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 2.510 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 2.510 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.510 * [taylor]: Taking taylor expansion of 0.5 in n 2.510 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.510 * [taylor]: Taking taylor expansion of 1.0 in n 2.510 * [taylor]: Taking taylor expansion of k in n 2.510 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.510 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.510 * [taylor]: Taking taylor expansion of 2.0 in n 2.510 * [taylor]: Taking taylor expansion of PI in n 2.512 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.512 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.512 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.512 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.512 * [taylor]: Taking taylor expansion of 0.5 in n 2.512 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.512 * [taylor]: Taking taylor expansion of 1.0 in n 2.512 * [taylor]: Taking taylor expansion of k in n 2.512 * [taylor]: Taking taylor expansion of (log n) in n 2.512 * [taylor]: Taking taylor expansion of n in n 2.513 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.513 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.513 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.513 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.513 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.513 * [taylor]: Taking taylor expansion of 0.5 in k 2.513 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.513 * [taylor]: Taking taylor expansion of 1.0 in k 2.513 * [taylor]: Taking taylor expansion of k in k 2.513 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.513 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.513 * [taylor]: Taking taylor expansion of 2.0 in k 2.513 * [taylor]: Taking taylor expansion of PI in k 2.517 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.517 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.517 * [taylor]: Taking taylor expansion of 0.5 in k 2.517 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.517 * [taylor]: Taking taylor expansion of 1.0 in k 2.517 * [taylor]: Taking taylor expansion of k in k 2.517 * [taylor]: Taking taylor expansion of (log n) in k 2.517 * [taylor]: Taking taylor expansion of n in k 2.518 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.518 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.518 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.518 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.518 * [taylor]: Taking taylor expansion of 0.5 in k 2.518 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.518 * [taylor]: Taking taylor expansion of 1.0 in k 2.518 * [taylor]: Taking taylor expansion of k in k 2.518 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.519 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.519 * [taylor]: Taking taylor expansion of 2.0 in k 2.519 * [taylor]: Taking taylor expansion of PI in k 2.523 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.523 * [taylor]: Taking taylor expansion of 0.5 in k 2.523 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.523 * [taylor]: Taking taylor expansion of 1.0 in k 2.523 * [taylor]: Taking taylor expansion of k in k 2.523 * [taylor]: Taking taylor expansion of (log n) in k 2.523 * [taylor]: Taking taylor expansion of n in k 2.525 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.525 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.525 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.525 * [taylor]: Taking taylor expansion of 0.5 in n 2.525 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.525 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.525 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.525 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.525 * [taylor]: Taking taylor expansion of 1.0 in n 2.525 * [taylor]: Taking taylor expansion of (log PI) in n 2.525 * [taylor]: Taking taylor expansion of PI in n 2.527 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.527 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.527 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.527 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.527 * [taylor]: Taking taylor expansion of 1.0 in n 2.527 * [taylor]: Taking taylor expansion of (log n) in n 2.527 * [taylor]: Taking taylor expansion of n in n 2.528 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.528 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.528 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.528 * [taylor]: Taking taylor expansion of 1.0 in n 2.528 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.528 * [taylor]: Taking taylor expansion of 2.0 in n 2.553 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.553 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.553 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.553 * [taylor]: Taking taylor expansion of 0.5 in n 2.553 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.553 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.553 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.553 * [taylor]: Taking taylor expansion of 2.0 in n 2.553 * [taylor]: Taking taylor expansion of PI in n 2.554 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.554 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.554 * [taylor]: Taking taylor expansion of 0.5 in n 2.555 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.555 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.555 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.555 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.555 * [taylor]: Taking taylor expansion of 1.0 in n 2.555 * [taylor]: Taking taylor expansion of (log PI) in n 2.555 * [taylor]: Taking taylor expansion of PI in n 2.556 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.557 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.557 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.557 * [taylor]: Taking taylor expansion of 1.0 in n 2.557 * [taylor]: Taking taylor expansion of (log n) in n 2.557 * [taylor]: Taking taylor expansion of n in n 2.557 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.557 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.557 * [taylor]: Taking taylor expansion of 1.0 in n 2.557 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.557 * [taylor]: Taking taylor expansion of 2.0 in n 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.563 * [taylor]: Taking taylor expansion of 0.5 in n 2.563 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.563 * [taylor]: Taking taylor expansion of (log n) in n 2.563 * [taylor]: Taking taylor expansion of n in n 2.563 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.563 * [taylor]: Taking taylor expansion of 0.5 in n 2.563 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.563 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.563 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.563 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.563 * [taylor]: Taking taylor expansion of 1.0 in n 2.563 * [taylor]: Taking taylor expansion of (log PI) in n 2.563 * [taylor]: Taking taylor expansion of PI in n 2.565 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.565 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.565 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.565 * [taylor]: Taking taylor expansion of 1.0 in n 2.565 * [taylor]: Taking taylor expansion of (log n) in n 2.565 * [taylor]: Taking taylor expansion of n in n 2.566 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.566 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.566 * [taylor]: Taking taylor expansion of 1.0 in n 2.566 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.566 * [taylor]: Taking taylor expansion of 2.0 in n 2.624 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.624 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.625 * [taylor]: Taking taylor expansion of 0.125 in n 2.625 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.625 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 2.625 * [taylor]: Taking taylor expansion of (log n) in n 2.625 * [taylor]: Taking taylor expansion of n in n 2.625 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.625 * [taylor]: Taking taylor expansion of 0.5 in n 2.625 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.625 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.625 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.625 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.625 * [taylor]: Taking taylor expansion of 1.0 in n 2.625 * [taylor]: Taking taylor expansion of (log PI) in n 2.625 * [taylor]: Taking taylor expansion of PI in n 2.627 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.627 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.627 * [taylor]: Taking taylor expansion of 1.0 in n 2.627 * [taylor]: Taking taylor expansion of (log n) in n 2.627 * [taylor]: Taking taylor expansion of n in n 2.628 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.628 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.628 * [taylor]: Taking taylor expansion of 1.0 in n 2.628 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.628 * [taylor]: Taking taylor expansion of 2.0 in n 2.633 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.633 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 2.633 * [taylor]: Taking taylor expansion of 0.25 in n 2.633 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 2.633 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 2.633 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.633 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.633 * [taylor]: Taking taylor expansion of 2.0 in n 2.633 * [taylor]: Taking taylor expansion of PI in n 2.634 * [taylor]: Taking taylor expansion of (log n) in n 2.634 * [taylor]: Taking taylor expansion of n in n 2.635 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 2.635 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 2.635 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 2.635 * [taylor]: Taking taylor expansion of 0.5 in n 2.635 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 2.635 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 2.635 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.635 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.635 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.635 * [taylor]: Taking taylor expansion of 1.0 in n 2.635 * [taylor]: Taking taylor expansion of (log PI) in n 2.635 * [taylor]: Taking taylor expansion of PI in n 2.637 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 2.637 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.637 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.637 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.637 * [taylor]: Taking taylor expansion of 1.0 in n 2.637 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.637 * [taylor]: Taking taylor expansion of 2.0 in n 2.639 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.639 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.639 * [taylor]: Taking taylor expansion of 1.0 in n 2.639 * [taylor]: Taking taylor expansion of (log n) in n 2.639 * [taylor]: Taking taylor expansion of n in n 2.643 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.643 * [taylor]: Taking taylor expansion of 0.125 in n 2.643 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.643 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 2.643 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.643 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.643 * [taylor]: Taking taylor expansion of 2.0 in n 2.643 * [taylor]: Taking taylor expansion of PI in n 2.644 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.644 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.644 * [taylor]: Taking taylor expansion of 0.5 in n 2.644 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.644 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.644 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.644 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.644 * [taylor]: Taking taylor expansion of 1.0 in n 2.644 * [taylor]: Taking taylor expansion of (log PI) in n 2.644 * [taylor]: Taking taylor expansion of PI in n 2.646 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.646 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.646 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.646 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.646 * [taylor]: Taking taylor expansion of 1.0 in n 2.646 * [taylor]: Taking taylor expansion of (log n) in n 2.646 * [taylor]: Taking taylor expansion of n in n 2.647 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.647 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.647 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.647 * [taylor]: Taking taylor expansion of 1.0 in n 2.647 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.647 * [taylor]: Taking taylor expansion of 2.0 in n 2.692 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 2.692 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.692 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.692 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 2.692 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 2.692 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.692 * [taylor]: Taking taylor expansion of 0.5 in n 2.692 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.692 * [taylor]: Taking taylor expansion of 1.0 in n 2.692 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.692 * [taylor]: Taking taylor expansion of k in n 2.693 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.693 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.693 * [taylor]: Taking taylor expansion of n in n 2.694 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 2.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 2.694 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.694 * [taylor]: Taking taylor expansion of 0.5 in n 2.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.694 * [taylor]: Taking taylor expansion of 1.0 in n 2.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.694 * [taylor]: Taking taylor expansion of k in n 2.694 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.694 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.694 * [taylor]: Taking taylor expansion of 2.0 in n 2.694 * [taylor]: Taking taylor expansion of PI in n 2.697 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.697 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.697 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.697 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.697 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.697 * [taylor]: Taking taylor expansion of 0.5 in k 2.697 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.697 * [taylor]: Taking taylor expansion of 1.0 in k 2.697 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.697 * [taylor]: Taking taylor expansion of k in k 2.697 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.697 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.697 * [taylor]: Taking taylor expansion of n in k 2.698 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.698 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.698 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.698 * [taylor]: Taking taylor expansion of 0.5 in k 2.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.698 * [taylor]: Taking taylor expansion of 1.0 in k 2.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.698 * [taylor]: Taking taylor expansion of k in k 2.699 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.699 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.699 * [taylor]: Taking taylor expansion of 2.0 in k 2.699 * [taylor]: Taking taylor expansion of PI in k 2.702 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.702 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 2.702 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 2.702 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.702 * [taylor]: Taking taylor expansion of 0.5 in k 2.702 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.702 * [taylor]: Taking taylor expansion of 1.0 in k 2.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.702 * [taylor]: Taking taylor expansion of k in k 2.703 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 2.703 * [taylor]: Taking taylor expansion of (/ 1 n) in k 2.703 * [taylor]: Taking taylor expansion of n in k 2.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 2.704 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 2.704 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.704 * [taylor]: Taking taylor expansion of 0.5 in k 2.704 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.704 * [taylor]: Taking taylor expansion of 1.0 in k 2.704 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.704 * [taylor]: Taking taylor expansion of k in k 2.704 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.704 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.704 * [taylor]: Taking taylor expansion of 2.0 in k 2.704 * [taylor]: Taking taylor expansion of PI in k 2.708 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 2.708 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 2.709 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 2.709 * [taylor]: Taking taylor expansion of 0.5 in n 2.709 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 2.709 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 2.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 2.709 * [taylor]: Taking taylor expansion of n in n 2.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.709 * [taylor]: Taking taylor expansion of 1.0 in n 2.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.709 * [taylor]: Taking taylor expansion of k in n 2.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 2.710 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 2.710 * [taylor]: Taking taylor expansion of 0.5 in n 2.710 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 2.710 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.710 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.710 * [taylor]: Taking taylor expansion of 2.0 in n 2.710 * [taylor]: Taking taylor expansion of PI in n 2.711 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.711 * [taylor]: Taking taylor expansion of 1.0 in n 2.711 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.711 * [taylor]: Taking taylor expansion of k in n 2.715 * [taylor]: Taking taylor expansion of 0 in n 2.724 * [taylor]: Taking taylor expansion of 0 in n 2.737 * [taylor]: Taking taylor expansion of 0 in n 2.739 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 2.739 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.739 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.739 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 2.739 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 2.739 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.739 * [taylor]: Taking taylor expansion of 0.5 in n 2.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.739 * [taylor]: Taking taylor expansion of k in n 2.739 * [taylor]: Taking taylor expansion of 1.0 in n 2.739 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.739 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.739 * [taylor]: Taking taylor expansion of -1 in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.741 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 2.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 2.741 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.741 * [taylor]: Taking taylor expansion of 0.5 in n 2.741 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.741 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.741 * [taylor]: Taking taylor expansion of k in n 2.741 * [taylor]: Taking taylor expansion of 1.0 in n 2.741 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.741 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.741 * [taylor]: Taking taylor expansion of 2.0 in n 2.741 * [taylor]: Taking taylor expansion of PI in n 2.743 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.743 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.743 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.744 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.744 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.744 * [taylor]: Taking taylor expansion of 0.5 in k 2.744 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.744 * [taylor]: Taking taylor expansion of k in k 2.744 * [taylor]: Taking taylor expansion of 1.0 in k 2.744 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.744 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.744 * [taylor]: Taking taylor expansion of -1 in k 2.744 * [taylor]: Taking taylor expansion of n in k 2.745 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.745 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.745 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.745 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.745 * [taylor]: Taking taylor expansion of 0.5 in k 2.745 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.745 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.745 * [taylor]: Taking taylor expansion of k in k 2.745 * [taylor]: Taking taylor expansion of 1.0 in k 2.745 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.745 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.745 * [taylor]: Taking taylor expansion of 2.0 in k 2.745 * [taylor]: Taking taylor expansion of PI in k 2.748 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.748 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 2.749 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 2.749 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.749 * [taylor]: Taking taylor expansion of 0.5 in k 2.749 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.749 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.749 * [taylor]: Taking taylor expansion of k in k 2.749 * [taylor]: Taking taylor expansion of 1.0 in k 2.749 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 2.749 * [taylor]: Taking taylor expansion of (/ -1 n) in k 2.749 * [taylor]: Taking taylor expansion of -1 in k 2.749 * [taylor]: Taking taylor expansion of n in k 2.750 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.750 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 2.750 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 2.750 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.750 * [taylor]: Taking taylor expansion of 0.5 in k 2.750 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.750 * [taylor]: Taking taylor expansion of k in k 2.750 * [taylor]: Taking taylor expansion of 1.0 in k 2.750 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.750 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.750 * [taylor]: Taking taylor expansion of 2.0 in k 2.750 * [taylor]: Taking taylor expansion of PI in k 2.754 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 2.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 2.754 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 2.754 * [taylor]: Taking taylor expansion of 0.5 in n 2.754 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 2.754 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.754 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.754 * [taylor]: Taking taylor expansion of k in n 2.754 * [taylor]: Taking taylor expansion of 1.0 in n 2.754 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 2.754 * [taylor]: Taking taylor expansion of (/ -1 n) in n 2.754 * [taylor]: Taking taylor expansion of -1 in n 2.754 * [taylor]: Taking taylor expansion of n in n 2.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 2.756 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 2.756 * [taylor]: Taking taylor expansion of 0.5 in n 2.756 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 2.756 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.757 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.757 * [taylor]: Taking taylor expansion of 2.0 in n 2.757 * [taylor]: Taking taylor expansion of PI in n 2.757 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.757 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.758 * [taylor]: Taking taylor expansion of k in n 2.758 * [taylor]: Taking taylor expansion of 1.0 in n 2.768 * [taylor]: Taking taylor expansion of 0 in n 2.778 * [taylor]: Taking taylor expansion of 0 in n 2.791 * [taylor]: Taking taylor expansion of 0 in n 2.793 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.793 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.793 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.793 * [taylor]: Taking taylor expansion of 1.0 in k 2.793 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.793 * [taylor]: Taking taylor expansion of k in k 2.794 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.794 * [taylor]: Taking taylor expansion of 1.0 in k 2.794 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.794 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.794 * [taylor]: Taking taylor expansion of k in k 2.806 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.806 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.806 * [taylor]: Taking taylor expansion of 1.0 in k 2.806 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.806 * [taylor]: Taking taylor expansion of k in k 2.807 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.807 * [taylor]: Taking taylor expansion of 1.0 in k 2.807 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.807 * [taylor]: Taking taylor expansion of k in k 2.817 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.817 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.817 * [taylor]: Taking taylor expansion of 1.0 in k 2.817 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.817 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.817 * [taylor]: Taking taylor expansion of -1 in k 2.817 * [taylor]: Taking taylor expansion of k in k 2.818 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.819 * [taylor]: Taking taylor expansion of 1.0 in k 2.819 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.819 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.819 * [taylor]: Taking taylor expansion of -1 in k 2.819 * [taylor]: Taking taylor expansion of k in k 2.830 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.831 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 2.831 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 2.831 * [taylor]: Taking taylor expansion of 1.0 in n 2.831 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 2.831 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.831 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.831 * [taylor]: Taking taylor expansion of k in n 2.831 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 2.831 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 2.831 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 2.831 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 2.831 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.831 * [taylor]: Taking taylor expansion of 0.5 in n 2.831 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.831 * [taylor]: Taking taylor expansion of 1.0 in n 2.831 * [taylor]: Taking taylor expansion of k in n 2.831 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.831 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.831 * [taylor]: Taking taylor expansion of 2.0 in n 2.831 * [taylor]: Taking taylor expansion of PI in n 2.834 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 2.834 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 2.834 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 2.834 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.834 * [taylor]: Taking taylor expansion of 0.5 in n 2.834 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.834 * [taylor]: Taking taylor expansion of 1.0 in n 2.834 * [taylor]: Taking taylor expansion of k in n 2.834 * [taylor]: Taking taylor expansion of (log n) in n 2.834 * [taylor]: Taking taylor expansion of n in n 2.835 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.835 * [taylor]: Taking taylor expansion of 1.0 in k 2.835 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.835 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.835 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.835 * [taylor]: Taking taylor expansion of k in k 2.836 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.836 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.836 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.836 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.836 * [taylor]: Taking taylor expansion of 0.5 in k 2.836 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.836 * [taylor]: Taking taylor expansion of 1.0 in k 2.836 * [taylor]: Taking taylor expansion of k in k 2.836 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.836 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.836 * [taylor]: Taking taylor expansion of 2.0 in k 2.836 * [taylor]: Taking taylor expansion of PI in k 2.840 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.840 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.840 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.840 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.840 * [taylor]: Taking taylor expansion of 0.5 in k 2.840 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.840 * [taylor]: Taking taylor expansion of 1.0 in k 2.840 * [taylor]: Taking taylor expansion of k in k 2.840 * [taylor]: Taking taylor expansion of (log n) in k 2.840 * [taylor]: Taking taylor expansion of n in k 2.841 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 2.841 * [taylor]: Taking taylor expansion of 1.0 in k 2.841 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 2.841 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.841 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.841 * [taylor]: Taking taylor expansion of k in k 2.843 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 2.843 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 2.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 2.843 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 2.843 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.843 * [taylor]: Taking taylor expansion of 0.5 in k 2.843 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.843 * [taylor]: Taking taylor expansion of 1.0 in k 2.843 * [taylor]: Taking taylor expansion of k in k 2.843 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.843 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.843 * [taylor]: Taking taylor expansion of 2.0 in k 2.843 * [taylor]: Taking taylor expansion of PI in k 2.847 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 2.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 2.847 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 2.847 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.847 * [taylor]: Taking taylor expansion of 0.5 in k 2.847 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.847 * [taylor]: Taking taylor expansion of 1.0 in k 2.847 * [taylor]: Taking taylor expansion of k in k 2.847 * [taylor]: Taking taylor expansion of (log n) in k 2.847 * [taylor]: Taking taylor expansion of n in k 2.856 * [taylor]: Taking taylor expansion of 0 in n 2.879 * [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 2.879 * [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 2.879 * [taylor]: Taking taylor expansion of +nan.0 in n 2.879 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.879 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.879 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.880 * [taylor]: Taking taylor expansion of 0.5 in n 2.880 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.880 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.880 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.880 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.880 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.880 * [taylor]: Taking taylor expansion of 1.0 in n 2.880 * [taylor]: Taking taylor expansion of (log PI) in n 2.880 * [taylor]: Taking taylor expansion of PI in n 2.881 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.881 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.882 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.882 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.882 * [taylor]: Taking taylor expansion of 1.0 in n 2.882 * [taylor]: Taking taylor expansion of (log n) in n 2.882 * [taylor]: Taking taylor expansion of n in n 2.882 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.882 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.882 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.882 * [taylor]: Taking taylor expansion of 1.0 in n 2.882 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.882 * [taylor]: Taking taylor expansion of 2.0 in n 2.930 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))))))) in n 2.930 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))))))) in n 2.930 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.930 * [taylor]: Taking taylor expansion of +nan.0 in n 2.930 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.930 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 2.930 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 2.930 * [taylor]: Taking taylor expansion of 2.0 in n 2.930 * [taylor]: Taking taylor expansion of PI in n 2.931 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.931 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.931 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.931 * [taylor]: Taking taylor expansion of 0.5 in n 2.931 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.931 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.931 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.931 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.931 * [taylor]: Taking taylor expansion of 1.0 in n 2.931 * [taylor]: Taking taylor expansion of (log PI) in n 2.931 * [taylor]: Taking taylor expansion of PI in n 2.933 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.933 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.933 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.933 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.933 * [taylor]: Taking taylor expansion of 1.0 in n 2.933 * [taylor]: Taking taylor expansion of (log n) in n 2.933 * [taylor]: Taking taylor expansion of n in n 2.934 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.934 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.934 * [taylor]: Taking taylor expansion of 1.0 in n 2.934 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.934 * [taylor]: Taking taylor expansion of 2.0 in n 2.945 * [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 n)))))) in n 2.945 * [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 n))))) in n 2.945 * [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 2.945 * [taylor]: Taking taylor expansion of +nan.0 in n 2.945 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.945 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.945 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.945 * [taylor]: Taking taylor expansion of 0.5 in n 2.945 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.945 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.945 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.945 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.945 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.945 * [taylor]: Taking taylor expansion of 1.0 in n 2.945 * [taylor]: Taking taylor expansion of (log PI) in n 2.945 * [taylor]: Taking taylor expansion of PI in n 2.948 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.948 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.948 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.948 * [taylor]: Taking taylor expansion of 1.0 in n 2.948 * [taylor]: Taking taylor expansion of (log n) in n 2.948 * [taylor]: Taking taylor expansion of n in n 2.948 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.948 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.948 * [taylor]: Taking taylor expansion of 1.0 in n 2.948 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.948 * [taylor]: Taking taylor expansion of 2.0 in n 2.954 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 2.954 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 2.954 * [taylor]: Taking taylor expansion of +nan.0 in n 2.954 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 2.954 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.954 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.954 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.954 * [taylor]: Taking taylor expansion of 0.5 in n 2.954 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.954 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.954 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.954 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.954 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.954 * [taylor]: Taking taylor expansion of 1.0 in n 2.954 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.954 * [taylor]: Taking taylor expansion of 2.0 in n 2.956 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.956 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.956 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.956 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.956 * [taylor]: Taking taylor expansion of 1.0 in n 2.956 * [taylor]: Taking taylor expansion of (log PI) in n 2.956 * [taylor]: Taking taylor expansion of PI in n 2.958 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.958 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.958 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.958 * [taylor]: Taking taylor expansion of 1.0 in n 2.958 * [taylor]: Taking taylor expansion of (log n) in n 2.958 * [taylor]: Taking taylor expansion of n in n 2.962 * [taylor]: Taking taylor expansion of (log n) in n 2.962 * [taylor]: Taking taylor expansion of n in n 3.068 * [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 (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 3.069 * [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 (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 3.069 * [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 3.069 * [taylor]: Taking taylor expansion of +nan.0 in n 3.069 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 3.069 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.069 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.069 * [taylor]: Taking taylor expansion of 0.5 in n 3.069 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.069 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.069 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.069 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.069 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.069 * [taylor]: Taking taylor expansion of 1.0 in n 3.069 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.069 * [taylor]: Taking taylor expansion of 2.0 in n 3.071 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.071 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.071 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.071 * [taylor]: Taking taylor expansion of 1.0 in n 3.071 * [taylor]: Taking taylor expansion of (log n) in n 3.071 * [taylor]: Taking taylor expansion of n in n 3.071 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.071 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.071 * [taylor]: Taking taylor expansion of 1.0 in n 3.071 * [taylor]: Taking taylor expansion of (log PI) in n 3.071 * [taylor]: Taking taylor expansion of PI in n 3.077 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 3.077 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 3.077 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.077 * [taylor]: Taking taylor expansion of +nan.0 in n 3.077 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.077 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 3.077 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.077 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.077 * [taylor]: Taking taylor expansion of 2.0 in n 3.077 * [taylor]: Taking taylor expansion of PI in n 3.078 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.078 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.078 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.078 * [taylor]: Taking taylor expansion of 0.5 in n 3.078 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.078 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.078 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.078 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.078 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.078 * [taylor]: Taking taylor expansion of 1.0 in n 3.078 * [taylor]: Taking taylor expansion of (log PI) in n 3.078 * [taylor]: Taking taylor expansion of PI in n 3.080 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.080 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.080 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.080 * [taylor]: Taking taylor expansion of 1.0 in n 3.080 * [taylor]: Taking taylor expansion of (log n) in n 3.080 * [taylor]: Taking taylor expansion of n in n 3.081 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.081 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.081 * [taylor]: Taking taylor expansion of 1.0 in n 3.081 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.081 * [taylor]: Taking taylor expansion of 2.0 in n 3.086 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 3.086 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 3.086 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 3.086 * [taylor]: Taking taylor expansion of +nan.0 in n 3.086 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 3.086 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.086 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.086 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.086 * [taylor]: Taking taylor expansion of 0.5 in n 3.086 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.086 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.086 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.086 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.086 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.086 * [taylor]: Taking taylor expansion of 1.0 in n 3.086 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.086 * [taylor]: Taking taylor expansion of 2.0 in n 3.088 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.088 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.088 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.088 * [taylor]: Taking taylor expansion of 1.0 in n 3.088 * [taylor]: Taking taylor expansion of (log PI) in n 3.088 * [taylor]: Taking taylor expansion of PI in n 3.090 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.090 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.090 * [taylor]: Taking taylor expansion of 1.0 in n 3.090 * [taylor]: Taking taylor expansion of (log n) in n 3.090 * [taylor]: Taking taylor expansion of n in n 3.094 * [taylor]: Taking taylor expansion of (log n) in n 3.094 * [taylor]: Taking taylor expansion of n in n 3.095 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 3.095 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 3.095 * [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 n) 2))) in n 3.095 * [taylor]: Taking taylor expansion of +nan.0 in n 3.095 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 3.095 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 3.095 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.095 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.095 * [taylor]: Taking taylor expansion of 0.5 in n 3.095 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.095 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.095 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.095 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.095 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.095 * [taylor]: Taking taylor expansion of 1.0 in n 3.095 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.095 * [taylor]: Taking taylor expansion of 2.0 in n 3.097 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.097 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.097 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.097 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.097 * [taylor]: Taking taylor expansion of 1.0 in n 3.097 * [taylor]: Taking taylor expansion of (log PI) in n 3.097 * [taylor]: Taking taylor expansion of PI in n 3.099 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.099 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.099 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.099 * [taylor]: Taking taylor expansion of 1.0 in n 3.099 * [taylor]: Taking taylor expansion of (log n) in n 3.099 * [taylor]: Taking taylor expansion of n in n 3.103 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 3.103 * [taylor]: Taking taylor expansion of (log n) in n 3.103 * [taylor]: Taking taylor expansion of n in n 3.104 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) in n 3.104 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 3.104 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.104 * [taylor]: Taking taylor expansion of +nan.0 in n 3.104 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.104 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.104 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.104 * [taylor]: Taking taylor expansion of 2.0 in n 3.104 * [taylor]: Taking taylor expansion of PI in n 3.105 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.105 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.105 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.105 * [taylor]: Taking taylor expansion of 0.5 in n 3.105 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.105 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.105 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.105 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.105 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.105 * [taylor]: Taking taylor expansion of 1.0 in n 3.105 * [taylor]: Taking taylor expansion of (log PI) in n 3.105 * [taylor]: Taking taylor expansion of PI in n 3.107 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.107 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.107 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.107 * [taylor]: Taking taylor expansion of 1.0 in n 3.107 * [taylor]: Taking taylor expansion of (log n) in n 3.107 * [taylor]: Taking taylor expansion of n in n 3.108 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.108 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.108 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.108 * [taylor]: Taking taylor expansion of 1.0 in n 3.108 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.108 * [taylor]: Taking taylor expansion of 2.0 in n 3.113 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 3.113 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 3.113 * [taylor]: Taking taylor expansion of +nan.0 in n 3.113 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 3.113 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 3.113 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.113 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.113 * [taylor]: Taking taylor expansion of 2.0 in n 3.113 * [taylor]: Taking taylor expansion of PI in n 3.114 * [taylor]: Taking taylor expansion of (log n) in n 3.114 * [taylor]: Taking taylor expansion of n in n 3.114 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 3.114 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 3.114 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 3.114 * [taylor]: Taking taylor expansion of 0.5 in n 3.115 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 3.115 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 3.115 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.115 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.115 * [taylor]: Taking taylor expansion of 1.0 in n 3.115 * [taylor]: Taking taylor expansion of (log PI) in n 3.115 * [taylor]: Taking taylor expansion of PI in n 3.122 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 3.122 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.122 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.122 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.122 * [taylor]: Taking taylor expansion of 1.0 in n 3.122 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.122 * [taylor]: Taking taylor expansion of 2.0 in n 3.124 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.124 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.124 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.124 * [taylor]: Taking taylor expansion of 1.0 in n 3.124 * [taylor]: Taking taylor expansion of (log n) in n 3.124 * [taylor]: Taking taylor expansion of n in n 3.236 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 3.236 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 3.236 * [taylor]: Taking taylor expansion of 1.0 in n 3.236 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 3.236 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.236 * [taylor]: Taking taylor expansion of k in n 3.237 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 3.237 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.237 * [taylor]: Taking taylor expansion of 0.5 in n 3.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.237 * [taylor]: Taking taylor expansion of 1.0 in n 3.237 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.237 * [taylor]: Taking taylor expansion of k in n 3.237 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.237 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.237 * [taylor]: Taking taylor expansion of n in n 3.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 3.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 3.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.238 * [taylor]: Taking taylor expansion of 0.5 in n 3.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.238 * [taylor]: Taking taylor expansion of 1.0 in n 3.238 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.238 * [taylor]: Taking taylor expansion of k in n 3.238 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.238 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.238 * [taylor]: Taking taylor expansion of 2.0 in n 3.238 * [taylor]: Taking taylor expansion of PI in n 3.240 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.240 * [taylor]: Taking taylor expansion of 1.0 in k 3.241 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.241 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.241 * [taylor]: Taking taylor expansion of k in k 3.242 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.242 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.242 * [taylor]: Taking taylor expansion of 0.5 in k 3.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.242 * [taylor]: Taking taylor expansion of 1.0 in k 3.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.242 * [taylor]: Taking taylor expansion of k in k 3.242 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.242 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.242 * [taylor]: Taking taylor expansion of n in k 3.243 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.243 * [taylor]: Taking taylor expansion of 0.5 in k 3.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.243 * [taylor]: Taking taylor expansion of 1.0 in k 3.243 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.243 * [taylor]: Taking taylor expansion of k in k 3.244 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.244 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.244 * [taylor]: Taking taylor expansion of 2.0 in k 3.244 * [taylor]: Taking taylor expansion of PI in k 3.247 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 3.247 * [taylor]: Taking taylor expansion of 1.0 in k 3.247 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 3.247 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.247 * [taylor]: Taking taylor expansion of k in k 3.248 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 3.248 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.248 * [taylor]: Taking taylor expansion of 0.5 in k 3.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.249 * [taylor]: Taking taylor expansion of 1.0 in k 3.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.249 * [taylor]: Taking taylor expansion of k in k 3.249 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.249 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.249 * [taylor]: Taking taylor expansion of n in k 3.250 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.250 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 3.250 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 3.250 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.250 * [taylor]: Taking taylor expansion of 0.5 in k 3.250 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.250 * [taylor]: Taking taylor expansion of 1.0 in k 3.250 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.250 * [taylor]: Taking taylor expansion of k in k 3.250 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.250 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.250 * [taylor]: Taking taylor expansion of 2.0 in k 3.250 * [taylor]: Taking taylor expansion of PI in k 3.256 * [taylor]: Taking taylor expansion of 0 in n 3.259 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 3.259 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.259 * [taylor]: Taking taylor expansion of +nan.0 in n 3.259 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.259 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.259 * [taylor]: Taking taylor expansion of 0.5 in n 3.259 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.259 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.259 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.259 * [taylor]: Taking taylor expansion of n in n 3.260 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.260 * [taylor]: Taking taylor expansion of 1.0 in n 3.260 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.260 * [taylor]: Taking taylor expansion of k in n 3.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.260 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.260 * [taylor]: Taking taylor expansion of 0.5 in n 3.260 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.260 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.260 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.260 * [taylor]: Taking taylor expansion of 2.0 in n 3.260 * [taylor]: Taking taylor expansion of PI in n 3.261 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.261 * [taylor]: Taking taylor expansion of 1.0 in n 3.261 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.261 * [taylor]: Taking taylor expansion of k in n 3.273 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 3.273 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.273 * [taylor]: Taking taylor expansion of +nan.0 in n 3.273 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.273 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.273 * [taylor]: Taking taylor expansion of 0.5 in n 3.273 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.273 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.274 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.274 * [taylor]: Taking taylor expansion of n in n 3.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.274 * [taylor]: Taking taylor expansion of 1.0 in n 3.274 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.274 * [taylor]: Taking taylor expansion of k in n 3.275 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.275 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.275 * [taylor]: Taking taylor expansion of 0.5 in n 3.275 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.275 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.275 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.275 * [taylor]: Taking taylor expansion of 2.0 in n 3.275 * [taylor]: Taking taylor expansion of PI in n 3.276 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.276 * [taylor]: Taking taylor expansion of 1.0 in n 3.276 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.276 * [taylor]: Taking taylor expansion of k in n 3.304 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 3.304 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 3.304 * [taylor]: Taking taylor expansion of +nan.0 in n 3.304 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 3.304 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 3.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 3.305 * [taylor]: Taking taylor expansion of 0.5 in n 3.305 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 3.305 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.305 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.305 * [taylor]: Taking taylor expansion of n in n 3.305 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.305 * [taylor]: Taking taylor expansion of 1.0 in n 3.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.305 * [taylor]: Taking taylor expansion of k in n 3.306 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 3.306 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 3.306 * [taylor]: Taking taylor expansion of 0.5 in n 3.306 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 3.306 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.306 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.306 * [taylor]: Taking taylor expansion of 2.0 in n 3.306 * [taylor]: Taking taylor expansion of PI in n 3.307 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.307 * [taylor]: Taking taylor expansion of 1.0 in n 3.307 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.307 * [taylor]: Taking taylor expansion of k in n 3.316 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 3.316 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 3.316 * [taylor]: Taking taylor expansion of 1.0 in n 3.316 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 3.316 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 3.316 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.316 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.316 * [taylor]: Taking taylor expansion of 0.5 in n 3.316 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.317 * [taylor]: Taking taylor expansion of k in n 3.317 * [taylor]: Taking taylor expansion of 1.0 in n 3.317 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.317 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.317 * [taylor]: Taking taylor expansion of -1 in n 3.317 * [taylor]: Taking taylor expansion of n in n 3.318 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.318 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 3.318 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 3.318 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.318 * [taylor]: Taking taylor expansion of 0.5 in n 3.319 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.319 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.319 * [taylor]: Taking taylor expansion of k in n 3.319 * [taylor]: Taking taylor expansion of 1.0 in n 3.319 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.319 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.319 * [taylor]: Taking taylor expansion of 2.0 in n 3.319 * [taylor]: Taking taylor expansion of PI in n 3.321 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.321 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.321 * [taylor]: Taking taylor expansion of -1 in n 3.321 * [taylor]: Taking taylor expansion of k in n 3.323 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.323 * [taylor]: Taking taylor expansion of 1.0 in k 3.323 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.323 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.323 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.324 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.324 * [taylor]: Taking taylor expansion of 0.5 in k 3.324 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.324 * [taylor]: Taking taylor expansion of k in k 3.324 * [taylor]: Taking taylor expansion of 1.0 in k 3.324 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.324 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.324 * [taylor]: Taking taylor expansion of -1 in k 3.324 * [taylor]: Taking taylor expansion of n in k 3.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.325 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.325 * [taylor]: Taking taylor expansion of 0.5 in k 3.325 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.325 * [taylor]: Taking taylor expansion of k in k 3.325 * [taylor]: Taking taylor expansion of 1.0 in k 3.325 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.325 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.325 * [taylor]: Taking taylor expansion of 2.0 in k 3.325 * [taylor]: Taking taylor expansion of PI in k 3.328 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.328 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.328 * [taylor]: Taking taylor expansion of -1 in k 3.328 * [taylor]: Taking taylor expansion of k in k 3.332 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 3.332 * [taylor]: Taking taylor expansion of 1.0 in k 3.332 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 3.332 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 3.332 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.332 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.332 * [taylor]: Taking taylor expansion of 0.5 in k 3.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.332 * [taylor]: Taking taylor expansion of k in k 3.332 * [taylor]: Taking taylor expansion of 1.0 in k 3.332 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.332 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.332 * [taylor]: Taking taylor expansion of -1 in k 3.332 * [taylor]: Taking taylor expansion of n in k 3.333 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 3.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 3.333 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.333 * [taylor]: Taking taylor expansion of 0.5 in k 3.333 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.333 * [taylor]: Taking taylor expansion of k in k 3.333 * [taylor]: Taking taylor expansion of 1.0 in k 3.333 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.333 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.333 * [taylor]: Taking taylor expansion of 2.0 in k 3.333 * [taylor]: Taking taylor expansion of PI in k 3.337 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.337 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.337 * [taylor]: Taking taylor expansion of -1 in k 3.337 * [taylor]: Taking taylor expansion of k in k 3.340 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 3.340 * [taylor]: Taking taylor expansion of +nan.0 in n 3.341 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.341 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.341 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.341 * [taylor]: Taking taylor expansion of 0.5 in n 3.341 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.341 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.341 * [taylor]: Taking taylor expansion of k in n 3.341 * [taylor]: Taking taylor expansion of 1.0 in n 3.341 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.341 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.341 * [taylor]: Taking taylor expansion of -1 in n 3.341 * [taylor]: Taking taylor expansion of n in n 3.343 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.343 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.343 * [taylor]: Taking taylor expansion of 0.5 in n 3.343 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.343 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.343 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.343 * [taylor]: Taking taylor expansion of 2.0 in n 3.343 * [taylor]: Taking taylor expansion of PI in n 3.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.344 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.344 * [taylor]: Taking taylor expansion of k in n 3.344 * [taylor]: Taking taylor expansion of 1.0 in n 3.355 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 3.356 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 3.356 * [taylor]: Taking taylor expansion of +nan.0 in n 3.356 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.356 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.356 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.356 * [taylor]: Taking taylor expansion of 0.5 in n 3.356 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.356 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.356 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.356 * [taylor]: Taking taylor expansion of k in n 3.356 * [taylor]: Taking taylor expansion of 1.0 in n 3.356 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.356 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.356 * [taylor]: Taking taylor expansion of -1 in n 3.356 * [taylor]: Taking taylor expansion of n in n 3.358 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.358 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.358 * [taylor]: Taking taylor expansion of 0.5 in n 3.358 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.358 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.358 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.358 * [taylor]: Taking taylor expansion of 2.0 in n 3.358 * [taylor]: Taking taylor expansion of PI in n 3.359 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.359 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.359 * [taylor]: Taking taylor expansion of k in n 3.359 * [taylor]: Taking taylor expansion of 1.0 in n 3.391 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 3.391 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 3.391 * [taylor]: Taking taylor expansion of +nan.0 in n 3.391 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 3.391 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 3.391 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 3.391 * [taylor]: Taking taylor expansion of 0.5 in n 3.391 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 3.391 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.391 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.391 * [taylor]: Taking taylor expansion of k in n 3.391 * [taylor]: Taking taylor expansion of 1.0 in n 3.391 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.391 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.391 * [taylor]: Taking taylor expansion of -1 in n 3.391 * [taylor]: Taking taylor expansion of n in n 3.393 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 3.393 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 3.393 * [taylor]: Taking taylor expansion of 0.5 in n 3.393 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 3.394 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 3.394 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 3.394 * [taylor]: Taking taylor expansion of 2.0 in n 3.394 * [taylor]: Taking taylor expansion of PI in n 3.394 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.395 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.395 * [taylor]: Taking taylor expansion of k in n 3.395 * [taylor]: Taking taylor expansion of 1.0 in n 3.405 * * * [progress]: simplifying candidates 3.408 * [simplify]: Simplifying using # : (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) 1) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0))) (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) (expm1 (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (+ (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (+ (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (/ 1.0 (sqrt k))) (+ (* (log (* 2.0 PI)) (/ (- 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(/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (exp (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)))) (* 1.0 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow n (/ k 2.0))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) (pow (* 2.0 PI) 0.5)) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (- (+ (* 0.125 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (+ (* 0.5 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 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 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (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 n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 3))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k)) (- (* +nan.0 (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))))))) 3.421 * * [simplify]: iteration 0 : 1124 enodes (cost 2196 ) 3.441 * * [simplify]: iteration 1 : 4652 enodes (cost 1983 ) 3.518 * * [simplify]: iteration 2 : 5001 enodes (cost 1979 ) 3.526 * [simplify]: Simplified to: (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (* 2.0 PI) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ 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k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (fma (/ (- 1.0 k) 2.0) (+ (log (* 2.0 PI)) (log n)) (log (/ 1.0 (sqrt k)))) (exp (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (pow (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) 3) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0)))) (* 1.0 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow n (/ k 2.0))) (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (cbrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (cbrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (cbrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* 1.0 (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (fma (- 0.5) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* k (log n)) (* k (log (* 2.0 PI))))) (fma (* 0.125 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) (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))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (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 n 1.0) (pow PI 1.0))) 0.5)) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k) (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2))) (/ (- (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))) (pow k 3))) (+ (* +nan.0 (- (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (pow k 2))) 3.528 * * * [progress]: adding candidates to table 4.060 * * [progress]: iteration 4 / 4 4.060 * * * [progress]: picking best candidate 4.087 * * * * [pick]: Picked # 4.088 * * * [progress]: localizing error 4.106 * * * [progress]: generating rewritten candidates 4.106 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 4.112 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.116 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.128 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 4.143 * * * [progress]: generating series expansions 4.143 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 4.143 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in (k) around 0 4.143 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.143 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.143 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.143 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.143 * [taylor]: Taking taylor expansion of 0.5 in k 4.143 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.143 * [taylor]: Taking taylor expansion of 1.0 in k 4.143 * [taylor]: Taking taylor expansion of k in k 4.143 * [taylor]: Taking taylor expansion of (log PI) in k 4.143 * [taylor]: Taking taylor expansion of PI in k 4.146 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.146 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.146 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.146 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.146 * [taylor]: Taking taylor expansion of 0.5 in k 4.146 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.146 * [taylor]: Taking taylor expansion of 1.0 in k 4.146 * [taylor]: Taking taylor expansion of k in k 4.146 * [taylor]: Taking taylor expansion of (log PI) in k 4.146 * [taylor]: Taking taylor expansion of PI in k 4.184 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 4.184 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.184 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.184 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.184 * [taylor]: Taking taylor expansion of 0.5 in k 4.184 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.184 * [taylor]: Taking taylor expansion of 1.0 in k 4.184 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.184 * [taylor]: Taking taylor expansion of k in k 4.185 * [taylor]: Taking taylor expansion of (log PI) in k 4.185 * [taylor]: Taking taylor expansion of PI in k 4.187 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.187 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.187 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.187 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.187 * [taylor]: Taking taylor expansion of 0.5 in k 4.187 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.187 * [taylor]: Taking taylor expansion of 1.0 in k 4.187 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.187 * [taylor]: Taking taylor expansion of k in k 4.187 * [taylor]: Taking taylor expansion of (log PI) in k 4.187 * [taylor]: Taking taylor expansion of PI in k 4.190 * [approximate]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 4.190 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.190 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.190 * [taylor]: Taking taylor expansion of 0.5 in k 4.190 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.190 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.190 * [taylor]: Taking taylor expansion of k in k 4.190 * [taylor]: Taking taylor expansion of 1.0 in k 4.190 * [taylor]: Taking taylor expansion of (log PI) in k 4.190 * [taylor]: Taking taylor expansion of PI in k 4.192 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.192 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.192 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.192 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.192 * [taylor]: Taking taylor expansion of 0.5 in k 4.192 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.192 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.192 * [taylor]: Taking taylor expansion of k in k 4.192 * [taylor]: Taking taylor expansion of 1.0 in k 4.192 * [taylor]: Taking taylor expansion of (log PI) in k 4.192 * [taylor]: Taking taylor expansion of PI in k 4.195 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.195 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 4.195 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.195 * [taylor]: Taking taylor expansion of 1.0 in k 4.195 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.195 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.195 * [taylor]: Taking taylor expansion of k in k 4.197 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 4.197 * [taylor]: Taking taylor expansion of 1.0 in k 4.197 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.197 * [taylor]: Taking taylor expansion of k in k 4.208 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 4.208 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.208 * [taylor]: Taking taylor expansion of 1.0 in k 4.208 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.208 * [taylor]: Taking taylor expansion of k in k 4.209 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 4.209 * [taylor]: Taking taylor expansion of 1.0 in k 4.209 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.209 * [taylor]: Taking taylor expansion of k in k 4.220 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 4.220 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.220 * [taylor]: Taking taylor expansion of 1.0 in k 4.220 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.220 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.220 * [taylor]: Taking taylor expansion of -1 in k 4.220 * [taylor]: Taking taylor expansion of k in k 4.222 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 4.222 * [taylor]: Taking taylor expansion of 1.0 in k 4.222 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.222 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.222 * [taylor]: Taking taylor expansion of -1 in k 4.222 * [taylor]: Taking taylor expansion of k in k 4.234 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.234 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in (k n) around 0 4.234 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 4.234 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 4.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 4.234 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 4.234 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.234 * [taylor]: Taking taylor expansion of 0.5 in n 4.234 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.235 * [taylor]: Taking taylor expansion of 1.0 in n 4.235 * [taylor]: Taking taylor expansion of k in n 4.235 * [taylor]: Taking taylor expansion of (log PI) in n 4.235 * [taylor]: Taking taylor expansion of PI in n 4.236 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.236 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 4.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 4.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 4.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.236 * [taylor]: Taking taylor expansion of 0.5 in n 4.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.236 * [taylor]: Taking taylor expansion of 1.0 in n 4.236 * [taylor]: Taking taylor expansion of k in n 4.236 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.236 * [taylor]: Taking taylor expansion of 2.0 in n 4.237 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.237 * [taylor]: Taking taylor expansion of 0.5 in n 4.237 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.237 * [taylor]: Taking taylor expansion of 1.0 in n 4.237 * [taylor]: Taking taylor expansion of k in n 4.237 * [taylor]: Taking taylor expansion of (log n) in n 4.237 * [taylor]: Taking taylor expansion of n in n 4.238 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.238 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.238 * [taylor]: Taking taylor expansion of 0.5 in k 4.238 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.238 * [taylor]: Taking taylor expansion of 1.0 in k 4.238 * [taylor]: Taking taylor expansion of k in k 4.238 * [taylor]: Taking taylor expansion of (log PI) in k 4.238 * [taylor]: Taking taylor expansion of PI in k 4.240 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.240 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 4.240 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 4.240 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 4.240 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.240 * [taylor]: Taking taylor expansion of 0.5 in k 4.240 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.240 * [taylor]: Taking taylor expansion of 1.0 in k 4.241 * [taylor]: Taking taylor expansion of k in k 4.241 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.241 * [taylor]: Taking taylor expansion of 2.0 in k 4.243 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.243 * [taylor]: Taking taylor expansion of 0.5 in k 4.243 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.243 * [taylor]: Taking taylor expansion of 1.0 in k 4.243 * [taylor]: Taking taylor expansion of k in k 4.243 * [taylor]: Taking taylor expansion of (log n) in k 4.243 * [taylor]: Taking taylor expansion of n in k 4.244 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 4.244 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.244 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.244 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.244 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.244 * [taylor]: Taking taylor expansion of 0.5 in k 4.244 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.244 * [taylor]: Taking taylor expansion of 1.0 in k 4.244 * [taylor]: Taking taylor expansion of k in k 4.244 * [taylor]: Taking taylor expansion of (log PI) in k 4.244 * [taylor]: Taking taylor expansion of PI in k 4.247 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.247 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 4.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 4.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 4.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.247 * [taylor]: Taking taylor expansion of 0.5 in k 4.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.247 * [taylor]: Taking taylor expansion of 1.0 in k 4.247 * [taylor]: Taking taylor expansion of k in k 4.247 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.247 * [taylor]: Taking taylor expansion of 2.0 in k 4.249 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.249 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.249 * [taylor]: Taking taylor expansion of 0.5 in k 4.249 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.249 * [taylor]: Taking taylor expansion of 1.0 in k 4.249 * [taylor]: Taking taylor expansion of k in k 4.250 * [taylor]: Taking taylor expansion of (log n) in k 4.250 * [taylor]: Taking taylor expansion of n in k 4.252 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.252 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.252 * [taylor]: Taking taylor expansion of 0.5 in n 4.252 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.252 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.252 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.252 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.252 * [taylor]: Taking taylor expansion of 1.0 in n 4.252 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.252 * [taylor]: Taking taylor expansion of 2.0 in n 4.253 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.253 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.254 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.254 * [taylor]: Taking taylor expansion of 1.0 in n 4.254 * [taylor]: Taking taylor expansion of (log n) in n 4.254 * [taylor]: Taking taylor expansion of n in n 4.254 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.254 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.254 * [taylor]: Taking taylor expansion of 1.0 in n 4.254 * [taylor]: Taking taylor expansion of (log PI) in n 4.254 * [taylor]: Taking taylor expansion of PI in n 4.294 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) in n 4.294 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) in n 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) in n 4.294 * [taylor]: Taking taylor expansion of 0.5 in n 4.294 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI)) in n 4.294 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.294 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.294 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.294 * [taylor]: Taking taylor expansion of 0.5 in n 4.294 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.294 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.294 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.294 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.294 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.294 * [taylor]: Taking taylor expansion of 1.0 in n 4.294 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.294 * [taylor]: Taking taylor expansion of 2.0 in n 4.296 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.296 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.296 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.296 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.296 * [taylor]: Taking taylor expansion of 1.0 in n 4.296 * [taylor]: Taking taylor expansion of (log n) in n 4.296 * [taylor]: Taking taylor expansion of n in n 4.296 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.297 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.297 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.297 * [taylor]: Taking taylor expansion of 1.0 in n 4.297 * [taylor]: Taking taylor expansion of (log PI) in n 4.297 * [taylor]: Taking taylor expansion of PI in n 4.302 * [taylor]: Taking taylor expansion of (log PI) in n 4.302 * [taylor]: Taking taylor expansion of PI in n 4.302 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 4.302 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.303 * [taylor]: Taking taylor expansion of 0.5 in n 4.303 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.303 * [taylor]: Taking taylor expansion of (log n) in n 4.303 * [taylor]: Taking taylor expansion of n in n 4.303 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.303 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.303 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.303 * [taylor]: Taking taylor expansion of 0.5 in n 4.303 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.303 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.303 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.303 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.303 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.303 * [taylor]: Taking taylor expansion of 1.0 in n 4.303 * [taylor]: Taking taylor expansion of (log PI) in n 4.303 * [taylor]: Taking taylor expansion of PI in n 4.305 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.305 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.305 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.305 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.305 * [taylor]: Taking taylor expansion of 1.0 in n 4.305 * [taylor]: Taking taylor expansion of (log n) in n 4.305 * [taylor]: Taking taylor expansion of n in n 4.306 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.306 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.306 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.306 * [taylor]: Taking taylor expansion of 1.0 in n 4.306 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.306 * [taylor]: Taking taylor expansion of 2.0 in n 4.311 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.311 * [taylor]: Taking taylor expansion of 0.5 in n 4.311 * [taylor]: Taking taylor expansion of (* (log 2.0) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.311 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.311 * [taylor]: Taking taylor expansion of 2.0 in n 4.312 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.312 * [taylor]: Taking taylor expansion of 0.5 in n 4.312 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.312 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.312 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.312 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.312 * [taylor]: Taking taylor expansion of 1.0 in n 4.312 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.312 * [taylor]: Taking taylor expansion of 2.0 in n 4.314 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.314 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.314 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.314 * [taylor]: Taking taylor expansion of 1.0 in n 4.314 * [taylor]: Taking taylor expansion of (log n) in n 4.314 * [taylor]: Taking taylor expansion of n in n 4.314 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.314 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.314 * [taylor]: Taking taylor expansion of 1.0 in n 4.314 * [taylor]: Taking taylor expansion of (log PI) in n 4.314 * [taylor]: Taking taylor expansion of PI in n 4.392 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))))) in n 4.392 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) in n 4.392 * [taylor]: Taking taylor expansion of 0.25 in n 4.392 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) in n 4.392 * [taylor]: Taking taylor expansion of (* (log 2.0) (log n)) in n 4.392 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.392 * [taylor]: Taking taylor expansion of 2.0 in n 4.393 * [taylor]: Taking taylor expansion of (log n) in n 4.393 * [taylor]: Taking taylor expansion of n in n 4.393 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.393 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.393 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.393 * [taylor]: Taking taylor expansion of 0.5 in n 4.393 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.393 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.393 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.393 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.393 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.393 * [taylor]: Taking taylor expansion of 1.0 in n 4.393 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.393 * [taylor]: Taking taylor expansion of 2.0 in n 4.395 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.395 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.395 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.395 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.395 * [taylor]: Taking taylor expansion of 1.0 in n 4.395 * [taylor]: Taking taylor expansion of (log PI) in n 4.395 * [taylor]: Taking taylor expansion of PI in n 4.397 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.397 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.397 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.397 * [taylor]: Taking taylor expansion of 1.0 in n 4.397 * [taylor]: Taking taylor expansion of (log n) in n 4.397 * [taylor]: Taking taylor expansion of n in n 4.401 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))))) in n 4.401 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI)))) in n 4.402 * [taylor]: Taking taylor expansion of 0.25 in n 4.402 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (log n) (log PI))) in n 4.402 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.402 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.402 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.402 * [taylor]: Taking taylor expansion of 0.5 in n 4.402 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.402 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.402 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.402 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.402 * [taylor]: Taking taylor expansion of 1.0 in n 4.402 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.402 * [taylor]: Taking taylor expansion of 2.0 in n 4.404 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.404 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.404 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.404 * [taylor]: Taking taylor expansion of 1.0 in n 4.404 * [taylor]: Taking taylor expansion of (log PI) in n 4.404 * [taylor]: Taking taylor expansion of PI in n 4.406 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.406 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.406 * [taylor]: Taking taylor expansion of 1.0 in n 4.406 * [taylor]: Taking taylor expansion of (log n) in n 4.406 * [taylor]: Taking taylor expansion of n in n 4.410 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 4.410 * [taylor]: Taking taylor expansion of (log n) in n 4.410 * [taylor]: Taking taylor expansion of n in n 4.410 * [taylor]: Taking taylor expansion of (log PI) in n 4.410 * [taylor]: Taking taylor expansion of PI in n 4.411 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))))) in n 4.411 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.411 * [taylor]: Taking taylor expansion of 0.25 in n 4.411 * [taylor]: Taking taylor expansion of (* (* (log 2.0) (log PI)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.411 * [taylor]: Taking taylor expansion of (* (log 2.0) (log PI)) in n 4.411 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.411 * [taylor]: Taking taylor expansion of 2.0 in n 4.411 * [taylor]: Taking taylor expansion of (log PI) in n 4.411 * [taylor]: Taking taylor expansion of PI in n 4.411 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.411 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.411 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.411 * [taylor]: Taking taylor expansion of 0.5 in n 4.411 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.411 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.411 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.412 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.412 * [taylor]: Taking taylor expansion of 1.0 in n 4.412 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.412 * [taylor]: Taking taylor expansion of 2.0 in n 4.413 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.413 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.413 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.413 * [taylor]: Taking taylor expansion of 1.0 in n 4.413 * [taylor]: Taking taylor expansion of (log n) in n 4.413 * [taylor]: Taking taylor expansion of n in n 4.414 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.414 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.414 * [taylor]: Taking taylor expansion of 1.0 in n 4.414 * [taylor]: Taking taylor expansion of (log PI) in n 4.414 * [taylor]: Taking taylor expansion of PI in n 4.420 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))))) in n 4.420 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.420 * [taylor]: Taking taylor expansion of 0.125 in n 4.420 * [taylor]: Taking taylor expansion of (* (pow (log 2.0) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.420 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 4.420 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.420 * [taylor]: Taking taylor expansion of 2.0 in n 4.420 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.420 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.420 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.420 * [taylor]: Taking taylor expansion of 0.5 in n 4.420 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.420 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.420 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.420 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.420 * [taylor]: Taking taylor expansion of 1.0 in n 4.420 * [taylor]: Taking taylor expansion of (log PI) in n 4.420 * [taylor]: Taking taylor expansion of PI in n 4.422 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.422 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.422 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.422 * [taylor]: Taking taylor expansion of 1.0 in n 4.422 * [taylor]: Taking taylor expansion of (log n) in n 4.422 * [taylor]: Taking taylor expansion of n in n 4.423 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.423 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.423 * [taylor]: Taking taylor expansion of 1.0 in n 4.423 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.423 * [taylor]: Taking taylor expansion of 2.0 in n 4.429 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)))) in n 4.429 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) in n 4.429 * [taylor]: Taking taylor expansion of 0.125 in n 4.429 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2)) in n 4.429 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.429 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.429 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.429 * [taylor]: Taking taylor expansion of 0.5 in n 4.429 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.429 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.429 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.429 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.429 * [taylor]: Taking taylor expansion of 1.0 in n 4.429 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.429 * [taylor]: Taking taylor expansion of 2.0 in n 4.431 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.431 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.431 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.431 * [taylor]: Taking taylor expansion of 1.0 in n 4.431 * [taylor]: Taking taylor expansion of (log n) in n 4.431 * [taylor]: Taking taylor expansion of n in n 4.431 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.431 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.431 * [taylor]: Taking taylor expansion of 1.0 in n 4.431 * [taylor]: Taking taylor expansion of (log PI) in n 4.431 * [taylor]: Taking taylor expansion of PI in n 4.437 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 4.437 * [taylor]: Taking taylor expansion of (log PI) in n 4.437 * [taylor]: Taking taylor expansion of PI in n 4.437 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) in n 4.437 * [taylor]: Taking taylor expansion of 0.125 in n 4.437 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 4.437 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.437 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.437 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.437 * [taylor]: Taking taylor expansion of 0.5 in n 4.438 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.438 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.438 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.438 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.438 * [taylor]: Taking taylor expansion of 1.0 in n 4.438 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.438 * [taylor]: Taking taylor expansion of 2.0 in n 4.439 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.439 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.440 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.440 * [taylor]: Taking taylor expansion of 1.0 in n 4.440 * [taylor]: Taking taylor expansion of (log PI) in n 4.440 * [taylor]: Taking taylor expansion of PI in n 4.441 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.441 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.441 * [taylor]: Taking taylor expansion of 1.0 in n 4.441 * [taylor]: Taking taylor expansion of (log n) in n 4.442 * [taylor]: Taking taylor expansion of n in n 4.446 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.446 * [taylor]: Taking taylor expansion of (log n) in n 4.446 * [taylor]: Taking taylor expansion of n in n 4.525 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.525 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.525 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 4.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 4.525 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 4.525 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.525 * [taylor]: Taking taylor expansion of 0.5 in n 4.525 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.525 * [taylor]: Taking taylor expansion of 1.0 in n 4.525 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.525 * [taylor]: Taking taylor expansion of k in n 4.525 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.525 * [taylor]: Taking taylor expansion of 2.0 in n 4.526 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 4.527 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.527 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.527 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.527 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.527 * [taylor]: Taking taylor expansion of 0.5 in n 4.527 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.527 * [taylor]: Taking taylor expansion of 1.0 in n 4.527 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.527 * [taylor]: Taking taylor expansion of k in n 4.527 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.527 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.527 * [taylor]: Taking taylor expansion of n in n 4.528 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 4.528 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 4.528 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 4.528 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.528 * [taylor]: Taking taylor expansion of 0.5 in n 4.528 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.528 * [taylor]: Taking taylor expansion of 1.0 in n 4.528 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.528 * [taylor]: Taking taylor expansion of k in n 4.528 * [taylor]: Taking taylor expansion of (log PI) in n 4.528 * [taylor]: Taking taylor expansion of PI in n 4.529 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.529 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 4.529 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 4.529 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 4.529 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.529 * [taylor]: Taking taylor expansion of 0.5 in k 4.529 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.529 * [taylor]: Taking taylor expansion of 1.0 in k 4.529 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.529 * [taylor]: Taking taylor expansion of k in k 4.530 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.530 * [taylor]: Taking taylor expansion of 2.0 in k 4.531 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.531 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.531 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.532 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.532 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.532 * [taylor]: Taking taylor expansion of 0.5 in k 4.532 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.532 * [taylor]: Taking taylor expansion of 1.0 in k 4.532 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.532 * [taylor]: Taking taylor expansion of k in k 4.532 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.532 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.532 * [taylor]: Taking taylor expansion of n in k 4.533 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.533 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.533 * [taylor]: Taking taylor expansion of 0.5 in k 4.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.533 * [taylor]: Taking taylor expansion of 1.0 in k 4.533 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.533 * [taylor]: Taking taylor expansion of k in k 4.533 * [taylor]: Taking taylor expansion of (log PI) in k 4.533 * [taylor]: Taking taylor expansion of PI in k 4.535 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.535 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 4.535 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 4.535 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 4.535 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.535 * [taylor]: Taking taylor expansion of 0.5 in k 4.535 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.536 * [taylor]: Taking taylor expansion of 1.0 in k 4.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.536 * [taylor]: Taking taylor expansion of k in k 4.536 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.536 * [taylor]: Taking taylor expansion of 2.0 in k 4.538 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.538 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.538 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.538 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.538 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.538 * [taylor]: Taking taylor expansion of 0.5 in k 4.538 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.538 * [taylor]: Taking taylor expansion of 1.0 in k 4.538 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.538 * [taylor]: Taking taylor expansion of k in k 4.538 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.538 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.538 * [taylor]: Taking taylor expansion of n in k 4.539 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.539 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.539 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.539 * [taylor]: Taking taylor expansion of 0.5 in k 4.539 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.539 * [taylor]: Taking taylor expansion of 1.0 in k 4.539 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.539 * [taylor]: Taking taylor expansion of k in k 4.539 * [taylor]: Taking taylor expansion of (log PI) in k 4.539 * [taylor]: Taking taylor expansion of PI in k 4.543 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))))) in n 4.543 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.543 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.543 * [taylor]: Taking taylor expansion of 0.5 in n 4.543 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.543 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.543 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.543 * [taylor]: Taking taylor expansion of n in n 4.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.543 * [taylor]: Taking taylor expansion of 1.0 in n 4.543 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.543 * [taylor]: Taking taylor expansion of k in n 4.549 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))))) in n 4.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 4.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 4.549 * [taylor]: Taking taylor expansion of 0.5 in n 4.549 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 4.549 * [taylor]: Taking taylor expansion of (log PI) in n 4.549 * [taylor]: Taking taylor expansion of PI in n 4.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.550 * [taylor]: Taking taylor expansion of 1.0 in n 4.550 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.550 * [taylor]: Taking taylor expansion of k in n 4.551 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k))))) in n 4.551 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (- 1.0 (/ 1 k)))) in n 4.551 * [taylor]: Taking taylor expansion of 0.5 in n 4.551 * [taylor]: Taking taylor expansion of (* (log 2.0) (- 1.0 (/ 1 k))) in n 4.551 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.551 * [taylor]: Taking taylor expansion of 2.0 in n 4.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.551 * [taylor]: Taking taylor expansion of 1.0 in n 4.551 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.551 * [taylor]: Taking taylor expansion of k in n 4.556 * [taylor]: Taking taylor expansion of 0 in n 4.568 * [taylor]: Taking taylor expansion of 0 in n 4.585 * [taylor]: Taking taylor expansion of 0 in n 4.587 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 4.587 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in n 4.587 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.587 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.587 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.587 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.587 * [taylor]: Taking taylor expansion of 0.5 in n 4.587 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.587 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.587 * [taylor]: Taking taylor expansion of k in n 4.587 * [taylor]: Taking taylor expansion of 1.0 in n 4.587 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.587 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.587 * [taylor]: Taking taylor expansion of -1 in n 4.587 * [taylor]: Taking taylor expansion of n in n 4.589 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.589 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 4.589 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 4.589 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 4.589 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.589 * [taylor]: Taking taylor expansion of 0.5 in n 4.589 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.589 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.589 * [taylor]: Taking taylor expansion of k in n 4.589 * [taylor]: Taking taylor expansion of 1.0 in n 4.589 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.589 * [taylor]: Taking taylor expansion of 2.0 in n 4.590 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 4.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 4.590 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 4.590 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.590 * [taylor]: Taking taylor expansion of 0.5 in n 4.590 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.590 * [taylor]: Taking taylor expansion of k in n 4.590 * [taylor]: Taking taylor expansion of 1.0 in n 4.590 * [taylor]: Taking taylor expansion of (log PI) in n 4.590 * [taylor]: Taking taylor expansion of PI in n 4.591 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.591 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.591 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.591 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.591 * [taylor]: Taking taylor expansion of 0.5 in k 4.591 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.591 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.591 * [taylor]: Taking taylor expansion of k in k 4.592 * [taylor]: Taking taylor expansion of 1.0 in k 4.592 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.592 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.592 * [taylor]: Taking taylor expansion of -1 in k 4.592 * [taylor]: Taking taylor expansion of n in k 4.592 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.592 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 4.592 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 4.592 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 4.592 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.592 * [taylor]: Taking taylor expansion of 0.5 in k 4.592 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.593 * [taylor]: Taking taylor expansion of k in k 4.593 * [taylor]: Taking taylor expansion of 1.0 in k 4.593 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.593 * [taylor]: Taking taylor expansion of 2.0 in k 4.594 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.594 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.595 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.595 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.595 * [taylor]: Taking taylor expansion of 0.5 in k 4.595 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.595 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.595 * [taylor]: Taking taylor expansion of k in k 4.595 * [taylor]: Taking taylor expansion of 1.0 in k 4.595 * [taylor]: Taking taylor expansion of (log PI) in k 4.595 * [taylor]: Taking taylor expansion of PI in k 4.597 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.597 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.597 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.597 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.597 * [taylor]: Taking taylor expansion of 0.5 in k 4.597 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.597 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.597 * [taylor]: Taking taylor expansion of k in k 4.597 * [taylor]: Taking taylor expansion of 1.0 in k 4.597 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.597 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.597 * [taylor]: Taking taylor expansion of -1 in k 4.597 * [taylor]: Taking taylor expansion of n in k 4.598 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.598 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 4.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 4.598 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 4.598 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.598 * [taylor]: Taking taylor expansion of 0.5 in k 4.598 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.598 * [taylor]: Taking taylor expansion of k in k 4.598 * [taylor]: Taking taylor expansion of 1.0 in k 4.598 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.599 * [taylor]: Taking taylor expansion of 2.0 in k 4.600 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.600 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.600 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.600 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.600 * [taylor]: Taking taylor expansion of 0.5 in k 4.600 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.600 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.600 * [taylor]: Taking taylor expansion of k in k 4.600 * [taylor]: Taking taylor expansion of 1.0 in k 4.601 * [taylor]: Taking taylor expansion of (log PI) in k 4.601 * [taylor]: Taking taylor expansion of PI in k 4.604 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) in n 4.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 4.604 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 4.604 * [taylor]: Taking taylor expansion of 0.5 in n 4.604 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 4.604 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.604 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.604 * [taylor]: Taking taylor expansion of k in n 4.604 * [taylor]: Taking taylor expansion of 1.0 in n 4.604 * [taylor]: Taking taylor expansion of (log PI) in n 4.604 * [taylor]: Taking taylor expansion of PI in n 4.605 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 4.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.605 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.605 * [taylor]: Taking taylor expansion of 0.5 in n 4.605 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.605 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.605 * [taylor]: Taking taylor expansion of k in n 4.605 * [taylor]: Taking taylor expansion of 1.0 in n 4.605 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.605 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.605 * [taylor]: Taking taylor expansion of -1 in n 4.605 * [taylor]: Taking taylor expansion of n in n 4.607 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 4.607 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 4.608 * [taylor]: Taking taylor expansion of 0.5 in n 4.608 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 4.608 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.608 * [taylor]: Taking taylor expansion of 2.0 in n 4.608 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.608 * [taylor]: Taking taylor expansion of k in n 4.608 * [taylor]: Taking taylor expansion of 1.0 in n 4.613 * [taylor]: Taking taylor expansion of 0 in n 4.626 * [taylor]: Taking taylor expansion of 0 in n 4.650 * [taylor]: Taking taylor expansion of 0 in n 4.651 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 4.651 * [approximate]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in (k n) around 0 4.651 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 4.651 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in n 4.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in n 4.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in n 4.651 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.651 * [taylor]: Taking taylor expansion of 0.5 in n 4.652 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.652 * [taylor]: Taking taylor expansion of 1.0 in n 4.652 * [taylor]: Taking taylor expansion of k in n 4.652 * [taylor]: Taking taylor expansion of (log PI) in n 4.652 * [taylor]: Taking taylor expansion of PI in n 4.653 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 4.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 4.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 4.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.653 * [taylor]: Taking taylor expansion of 0.5 in n 4.653 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.653 * [taylor]: Taking taylor expansion of 1.0 in n 4.653 * [taylor]: Taking taylor expansion of k in n 4.653 * [taylor]: Taking taylor expansion of (log n) in n 4.653 * [taylor]: Taking taylor expansion of n in n 4.653 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.653 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.653 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.653 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.653 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.653 * [taylor]: Taking taylor expansion of 0.5 in k 4.654 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.654 * [taylor]: Taking taylor expansion of 1.0 in k 4.654 * [taylor]: Taking taylor expansion of k in k 4.654 * [taylor]: Taking taylor expansion of (log PI) in k 4.654 * [taylor]: Taking taylor expansion of PI in k 4.656 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.656 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.656 * [taylor]: Taking taylor expansion of 0.5 in k 4.656 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.656 * [taylor]: Taking taylor expansion of 1.0 in k 4.656 * [taylor]: Taking taylor expansion of k in k 4.656 * [taylor]: Taking taylor expansion of (log n) in k 4.656 * [taylor]: Taking taylor expansion of n in k 4.657 * [taylor]: Taking taylor expansion of (* (pow PI (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 4.657 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 k))) in k 4.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log PI))) in k 4.657 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log PI)) in k 4.657 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.657 * [taylor]: Taking taylor expansion of 0.5 in k 4.657 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.657 * [taylor]: Taking taylor expansion of 1.0 in k 4.657 * [taylor]: Taking taylor expansion of k in k 4.657 * [taylor]: Taking taylor expansion of (log PI) in k 4.657 * [taylor]: Taking taylor expansion of PI in k 4.660 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 4.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 4.660 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 4.660 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.660 * [taylor]: Taking taylor expansion of 0.5 in k 4.660 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.660 * [taylor]: Taking taylor expansion of 1.0 in k 4.660 * [taylor]: Taking taylor expansion of k in k 4.660 * [taylor]: Taking taylor expansion of (log n) in k 4.660 * [taylor]: Taking taylor expansion of n in k 4.661 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.662 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.662 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.662 * [taylor]: Taking taylor expansion of 0.5 in n 4.662 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.662 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.662 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.662 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.662 * [taylor]: Taking taylor expansion of 1.0 in n 4.662 * [taylor]: Taking taylor expansion of (log n) in n 4.662 * [taylor]: Taking taylor expansion of n in n 4.662 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.662 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.662 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.662 * [taylor]: Taking taylor expansion of 1.0 in n 4.662 * [taylor]: Taking taylor expansion of (log PI) in n 4.662 * [taylor]: Taking taylor expansion of PI in n 4.681 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI))))) in n 4.681 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)))) in n 4.681 * [taylor]: Taking taylor expansion of (* 0.5 (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 4.681 * [taylor]: Taking taylor expansion of 0.5 in n 4.681 * [taylor]: Taking taylor expansion of (* (log n) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 4.681 * [taylor]: Taking taylor expansion of (log n) in n 4.681 * [taylor]: Taking taylor expansion of n in n 4.681 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.681 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.681 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.681 * [taylor]: Taking taylor expansion of 0.5 in n 4.681 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.682 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.682 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.682 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.682 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.682 * [taylor]: Taking taylor expansion of 1.0 in n 4.682 * [taylor]: Taking taylor expansion of (log n) in n 4.682 * [taylor]: Taking taylor expansion of n in n 4.682 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.682 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.682 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.682 * [taylor]: Taking taylor expansion of 1.0 in n 4.682 * [taylor]: Taking taylor expansion of (log PI) in n 4.682 * [taylor]: Taking taylor expansion of PI in n 4.686 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI))) in n 4.686 * [taylor]: Taking taylor expansion of 0.5 in n 4.686 * [taylor]: Taking taylor expansion of (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (log PI)) in n 4.686 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.686 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.686 * [taylor]: Taking taylor expansion of 0.5 in n 4.686 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.686 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.686 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.686 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.686 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.686 * [taylor]: Taking taylor expansion of 1.0 in n 4.686 * [taylor]: Taking taylor expansion of (log n) in n 4.686 * [taylor]: Taking taylor expansion of n in n 4.687 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.687 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.687 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.687 * [taylor]: Taking taylor expansion of 1.0 in n 4.687 * [taylor]: Taking taylor expansion of (log PI) in n 4.687 * [taylor]: Taking taylor expansion of PI in n 4.690 * [taylor]: Taking taylor expansion of (log PI) in n 4.691 * [taylor]: Taking taylor expansion of PI in n 4.730 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))))) in n 4.730 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 4.730 * [taylor]: Taking taylor expansion of 0.25 in n 4.730 * [taylor]: Taking taylor expansion of (* (* (log n) (log PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 4.730 * [taylor]: Taking taylor expansion of (* (log n) (log PI)) in n 4.730 * [taylor]: Taking taylor expansion of (log n) in n 4.730 * [taylor]: Taking taylor expansion of n in n 4.730 * [taylor]: Taking taylor expansion of (log PI) in n 4.730 * [taylor]: Taking taylor expansion of PI in n 4.731 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.731 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.731 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.731 * [taylor]: Taking taylor expansion of 0.5 in n 4.731 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.731 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.731 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.731 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.731 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.731 * [taylor]: Taking taylor expansion of 1.0 in n 4.731 * [taylor]: Taking taylor expansion of (log n) in n 4.731 * [taylor]: Taking taylor expansion of n in n 4.731 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.731 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.731 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.731 * [taylor]: Taking taylor expansion of 1.0 in n 4.731 * [taylor]: Taking taylor expansion of (log PI) in n 4.732 * [taylor]: Taking taylor expansion of PI in n 4.735 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)))) in n 4.735 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) in n 4.735 * [taylor]: Taking taylor expansion of 0.125 in n 4.735 * [taylor]: Taking taylor expansion of (* (pow (log n) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)) in n 4.735 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 4.735 * [taylor]: Taking taylor expansion of (log n) in n 4.735 * [taylor]: Taking taylor expansion of n in n 4.736 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.736 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.736 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.736 * [taylor]: Taking taylor expansion of 0.5 in n 4.736 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.736 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.736 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.736 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.736 * [taylor]: Taking taylor expansion of 1.0 in n 4.736 * [taylor]: Taking taylor expansion of (log n) in n 4.736 * [taylor]: Taking taylor expansion of n in n 4.737 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.737 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.737 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.737 * [taylor]: Taking taylor expansion of 1.0 in n 4.737 * [taylor]: Taking taylor expansion of (log PI) in n 4.737 * [taylor]: Taking taylor expansion of PI in n 4.741 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2))) in n 4.741 * [taylor]: Taking taylor expansion of 0.125 in n 4.741 * [taylor]: Taking taylor expansion of (* (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) (pow (log PI) 2)) in n 4.741 * [taylor]: Taking taylor expansion of (pow (* (pow n 1.0) (pow PI 1.0)) 0.5) in n 4.741 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow n 1.0) (pow PI 1.0))))) in n 4.741 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow n 1.0) (pow PI 1.0)))) in n 4.741 * [taylor]: Taking taylor expansion of 0.5 in n 4.741 * [taylor]: Taking taylor expansion of (log (* (pow n 1.0) (pow PI 1.0))) in n 4.741 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.741 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.741 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.741 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.741 * [taylor]: Taking taylor expansion of 1.0 in n 4.741 * [taylor]: Taking taylor expansion of (log n) in n 4.741 * [taylor]: Taking taylor expansion of n in n 4.741 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.741 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.741 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.742 * [taylor]: Taking taylor expansion of 1.0 in n 4.742 * [taylor]: Taking taylor expansion of (log PI) in n 4.742 * [taylor]: Taking taylor expansion of PI in n 4.745 * [taylor]: Taking taylor expansion of (pow (log PI) 2) in n 4.745 * [taylor]: Taking taylor expansion of (log PI) in n 4.745 * [taylor]: Taking taylor expansion of PI in n 4.765 * [approximate]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 4.765 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in n 4.765 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.765 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 4.765 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 4.765 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.765 * [taylor]: Taking taylor expansion of 0.5 in n 4.765 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.765 * [taylor]: Taking taylor expansion of 1.0 in n 4.765 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.765 * [taylor]: Taking taylor expansion of k in n 4.765 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.765 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.765 * [taylor]: Taking taylor expansion of n in n 4.766 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in n 4.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in n 4.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in n 4.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.766 * [taylor]: Taking taylor expansion of 0.5 in n 4.766 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.766 * [taylor]: Taking taylor expansion of 1.0 in n 4.766 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.766 * [taylor]: Taking taylor expansion of k in n 4.766 * [taylor]: Taking taylor expansion of (log PI) in n 4.766 * [taylor]: Taking taylor expansion of PI in n 4.768 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.768 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.768 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.768 * [taylor]: Taking taylor expansion of 0.5 in k 4.768 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.768 * [taylor]: Taking taylor expansion of 1.0 in k 4.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.768 * [taylor]: Taking taylor expansion of k in k 4.768 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.768 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.768 * [taylor]: Taking taylor expansion of n in k 4.769 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.769 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.769 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.769 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.769 * [taylor]: Taking taylor expansion of 0.5 in k 4.769 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.769 * [taylor]: Taking taylor expansion of 1.0 in k 4.769 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.769 * [taylor]: Taking taylor expansion of k in k 4.769 * [taylor]: Taking taylor expansion of (log PI) in k 4.769 * [taylor]: Taking taylor expansion of PI in k 4.771 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow PI (* 0.5 (- 1.0 (/ 1 k))))) in k 4.771 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 4.771 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 4.771 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.771 * [taylor]: Taking taylor expansion of 0.5 in k 4.771 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.771 * [taylor]: Taking taylor expansion of 1.0 in k 4.771 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.771 * [taylor]: Taking taylor expansion of k in k 4.772 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 4.772 * [taylor]: Taking taylor expansion of (/ 1 n) in k 4.772 * [taylor]: Taking taylor expansion of n in k 4.773 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (- 1.0 (/ 1 k)))) in k 4.773 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log PI))) in k 4.773 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log PI)) in k 4.773 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.773 * [taylor]: Taking taylor expansion of 0.5 in k 4.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.773 * [taylor]: Taking taylor expansion of 1.0 in k 4.773 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.773 * [taylor]: Taking taylor expansion of k in k 4.773 * [taylor]: Taking taylor expansion of (log PI) in k 4.773 * [taylor]: Taking taylor expansion of PI in k 4.776 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))))) in n 4.776 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 4.776 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 4.776 * [taylor]: Taking taylor expansion of 0.5 in n 4.776 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 4.776 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 4.776 * [taylor]: Taking taylor expansion of (/ 1 n) in n 4.776 * [taylor]: Taking taylor expansion of n in n 4.776 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.776 * [taylor]: Taking taylor expansion of 1.0 in n 4.776 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.776 * [taylor]: Taking taylor expansion of k in n 4.777 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log PI) (- 1.0 (/ 1 k))))) in n 4.777 * [taylor]: Taking taylor expansion of (* 0.5 (* (log PI) (- 1.0 (/ 1 k)))) in n 4.777 * [taylor]: Taking taylor expansion of 0.5 in n 4.777 * [taylor]: Taking taylor expansion of (* (log PI) (- 1.0 (/ 1 k))) in n 4.777 * [taylor]: Taking taylor expansion of (log PI) in n 4.777 * [taylor]: Taking taylor expansion of PI in n 4.777 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.777 * [taylor]: Taking taylor expansion of 1.0 in n 4.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.777 * [taylor]: Taking taylor expansion of k in n 4.780 * [taylor]: Taking taylor expansion of 0 in n 4.787 * [taylor]: Taking taylor expansion of 0 in n 4.797 * [taylor]: Taking taylor expansion of 0 in n 4.798 * [approximate]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 4.798 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.798 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.798 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 4.798 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 4.798 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.798 * [taylor]: Taking taylor expansion of 0.5 in n 4.798 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.798 * [taylor]: Taking taylor expansion of k in n 4.798 * [taylor]: Taking taylor expansion of 1.0 in n 4.798 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.798 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.798 * [taylor]: Taking taylor expansion of -1 in n 4.798 * [taylor]: Taking taylor expansion of n in n 4.800 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in n 4.800 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in n 4.800 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in n 4.800 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.800 * [taylor]: Taking taylor expansion of 0.5 in n 4.800 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.800 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.800 * [taylor]: Taking taylor expansion of k in n 4.800 * [taylor]: Taking taylor expansion of 1.0 in n 4.800 * [taylor]: Taking taylor expansion of (log PI) in n 4.800 * [taylor]: Taking taylor expansion of PI in n 4.801 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.801 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.802 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.802 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.802 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.802 * [taylor]: Taking taylor expansion of 0.5 in k 4.802 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.802 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.802 * [taylor]: Taking taylor expansion of k in k 4.802 * [taylor]: Taking taylor expansion of 1.0 in k 4.802 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.802 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.802 * [taylor]: Taking taylor expansion of -1 in k 4.802 * [taylor]: Taking taylor expansion of n in k 4.803 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.803 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.803 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.803 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.803 * [taylor]: Taking taylor expansion of 0.5 in k 4.803 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.803 * [taylor]: Taking taylor expansion of k in k 4.803 * [taylor]: Taking taylor expansion of 1.0 in k 4.803 * [taylor]: Taking taylor expansion of (log PI) in k 4.803 * [taylor]: Taking taylor expansion of PI in k 4.805 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow PI (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.805 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.805 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 4.805 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 4.805 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.805 * [taylor]: Taking taylor expansion of 0.5 in k 4.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.805 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.805 * [taylor]: Taking taylor expansion of k in k 4.805 * [taylor]: Taking taylor expansion of 1.0 in k 4.805 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 4.805 * [taylor]: Taking taylor expansion of (/ -1 n) in k 4.805 * [taylor]: Taking taylor expansion of -1 in k 4.805 * [taylor]: Taking taylor expansion of n in k 4.806 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 (+ (/ 1 k) 1.0))) in k 4.806 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI))) in k 4.806 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log PI)) in k 4.806 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.806 * [taylor]: Taking taylor expansion of 0.5 in k 4.806 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.806 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.806 * [taylor]: Taking taylor expansion of k in k 4.806 * [taylor]: Taking taylor expansion of 1.0 in k 4.806 * [taylor]: Taking taylor expansion of (log PI) in k 4.806 * [taylor]: Taking taylor expansion of PI in k 4.809 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))))) in n 4.809 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log PI)))) in n 4.809 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log PI))) in n 4.809 * [taylor]: Taking taylor expansion of 0.5 in n 4.809 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log PI)) in n 4.809 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.809 * [taylor]: Taking taylor expansion of k in n 4.809 * [taylor]: Taking taylor expansion of 1.0 in n 4.809 * [taylor]: Taking taylor expansion of (log PI) in n 4.809 * [taylor]: Taking taylor expansion of PI in n 4.810 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 4.810 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 4.810 * [taylor]: Taking taylor expansion of 0.5 in n 4.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 4.810 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.810 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.810 * [taylor]: Taking taylor expansion of k in n 4.810 * [taylor]: Taking taylor expansion of 1.0 in n 4.810 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 4.810 * [taylor]: Taking taylor expansion of (/ -1 n) in n 4.810 * [taylor]: Taking taylor expansion of -1 in n 4.810 * [taylor]: Taking taylor expansion of n in n 4.814 * [taylor]: Taking taylor expansion of 0 in n 4.828 * [taylor]: Taking taylor expansion of 0 in n 4.839 * [taylor]: Taking taylor expansion of 0 in n 4.840 * * * [progress]: simplifying candidates 4.843 * [simplify]: Simplifying using # : (expm1 (pow PI (/ (- 1.0 k) 2.0))) (log1p (pow PI (/ (- 1.0 k) 2.0))) (* (log PI) (/ (- 1.0 k) 2.0)) (* (log PI) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0)) (pow PI (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow PI (sqrt (/ (- 1.0 k) 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow PI (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow PI (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow PI (/ (sqrt (- 1.0 k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow PI (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow PI (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow PI (/ 1 (sqrt 2.0))) (pow PI (/ 1 1)) (pow PI 1) (pow PI (- 1.0 k)) (pow (* (cbrt PI) (cbrt PI)) (/ (- 1.0 k) 2.0)) (pow (cbrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow (sqrt PI) (/ (- 1.0 k) 2.0)) (pow 1 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow PI (/ (- 1.0 k) 2.0))) (exp (pow PI (/ (- 1.0 k) 2.0))) (* (cbrt (pow PI (/ (- 1.0 k) 2.0))) (cbrt (pow PI (/ (- 1.0 k) 2.0)))) (cbrt (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log1p (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* 2.0 (* PI n)) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0))))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ k 2.0)) (* (pow PI (/ k 2.0)) (pow n (/ k 2.0)))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ k 2.0)) (pow n (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ k 2.0)) (pow PI (/ k 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (* (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ 1.0 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (pow PI (/ 1.0 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ 1.0 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (expm1 (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* PI n) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (* (log n) (/ (- 1.0 k) 2.0))) (+ (* (log PI) (/ (- 1.0 k) 2.0)) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (pow PI (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (cbrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))))) (cbrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (pow PI (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ 1.0 2.0)) (pow 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k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (pow PI (/ (- 1.0 k) 2.0)) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (pow PI (/ (- 1.0 k) 2.0)) (* (pow PI (/ (- 1.0 k) 2.0)) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (pow PI (/ (- 1.0 k) 2.0)) (sqrt (pow n (/ (- 1.0 k) 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(- +nan.0) (pow k 2))) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log PI) 2))) (* 0.25 (* (pow k 2) (* (log 2.0) (log n))))) (- (+ (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.25 (* (pow k 2) (* (log 2.0) (log PI)))) (* 0.125 (* (pow k 2) (pow (log 2.0) 2)))))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (pow (log n) 2))) (* 0.25 (* (pow k 2) (* (log n) (log PI))))))) (* 0.5 (+ (* (* k (log 2.0)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (fma k (* (log PI) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))))) (exp (+ (fma (* 0.5 (log 2.0)) (- 1.0 k) (* 0.5 (* (- 1.0 k) (log PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (fma (* 0.5 (log 2.0)) (- 1.0 k) (* 0.5 (* (- 1.0 k) (log PI)))))) (fma (- 0.5) (* (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (+ (* k (log n)) (* k (log PI)))) (fma (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (+ (* 0.25 (* (pow k 2) (* (log n) (log PI)))) (* 0.125 (* (pow k 2) (pow (log PI) 2)))) (fma (* 0.125 (* (pow k 2) (pow (log n) 2))) (pow (* (pow PI 1.0) (pow n 1.0)) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5)))) (exp (+ (* 0.5 (* (- 1.0 k) (log PI))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log PI))))) 4.950 * * * [progress]: adding candidates to table 5.505 * [progress]: [Phase 3 of 3] Extracting. 5.505 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.508 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.508 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 5.549 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # #) 5.572 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 5.613 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 5.654 * * * [regime]: Found split indices: #