13.646 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.186 * * * [progress]: [2/2] Setting up program. 0.190 * [progress]: [Phase 2 of 3] Improving. 0.190 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.236 * * [simplify]: iteration 0 : 4987 enodes (cost 16 ) 0.236 * * [simplify]: iteration 1 : 4987 enodes (cost 16 ) 0.237 * [simplify]: Simplified to: (* 1.0 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) 0.241 * * [progress]: iteration 1 / 4 0.241 * * * [progress]: picking best candidate 0.247 * * * * [pick]: Picked # 0.247 * * * [progress]: localizing error 0.265 * * * [progress]: generating rewritten candidates 0.265 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 2) 0.268 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.278 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.289 * * * [progress]: generating series expansions 0.289 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 2) 0.289 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.289 * [taylor]: Taking taylor expansion of (* n PI) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of (* n PI) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.290 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.290 * [taylor]: Taking taylor expansion of PI in n 0.290 * [taylor]: Taking taylor expansion of n in n 0.291 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.291 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.291 * [taylor]: Taking taylor expansion of -1 in n 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.291 * [taylor]: Taking taylor expansion of PI in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.291 * [taylor]: Taking taylor expansion of -1 in n 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.291 * [taylor]: Taking taylor expansion of PI in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.292 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.292 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.292 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.292 * [taylor]: Taking taylor expansion of 0.5 in k 0.292 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.292 * [taylor]: Taking taylor expansion of 1.0 in k 0.292 * [taylor]: Taking taylor expansion of k in k 0.292 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.292 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.292 * [taylor]: Taking taylor expansion of 2.0 in k 0.292 * [taylor]: Taking taylor expansion of (* n PI) in k 0.292 * [taylor]: Taking taylor expansion of n in k 0.292 * [taylor]: Taking taylor expansion of PI in k 0.292 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of k in n 0.292 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.292 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.292 * [taylor]: Taking taylor expansion of 2.0 in n 0.292 * [taylor]: Taking taylor expansion of (* n PI) in n 0.292 * [taylor]: Taking taylor expansion of n in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.293 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.293 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.293 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.293 * [taylor]: Taking taylor expansion of 0.5 in n 0.293 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.293 * [taylor]: Taking taylor expansion of 1.0 in n 0.293 * [taylor]: Taking taylor expansion of k in n 0.293 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.293 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.293 * [taylor]: Taking taylor expansion of 2.0 in n 0.293 * [taylor]: Taking taylor expansion of (* n PI) in n 0.293 * [taylor]: Taking taylor expansion of n in n 0.293 * [taylor]: Taking taylor expansion of PI in n 0.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.293 * [taylor]: Taking taylor expansion of 0.5 in k 0.293 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.293 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.293 * [taylor]: Taking taylor expansion of 1.0 in k 0.293 * [taylor]: Taking taylor expansion of k in k 0.293 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.293 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.293 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.293 * [taylor]: Taking taylor expansion of 2.0 in k 0.293 * [taylor]: Taking taylor expansion of PI in k 0.294 * [taylor]: Taking taylor expansion of (log n) in k 0.294 * [taylor]: Taking taylor expansion of n in k 0.294 * [taylor]: Taking taylor expansion of 0 in k 0.296 * [taylor]: Taking taylor expansion of 0 in k 0.298 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.298 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.298 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.299 * [taylor]: Taking taylor expansion of 0.5 in k 0.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.299 * [taylor]: Taking taylor expansion of 1.0 in k 0.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.299 * [taylor]: Taking taylor expansion of k in k 0.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.299 * [taylor]: Taking taylor expansion of 2.0 in k 0.299 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.299 * [taylor]: Taking taylor expansion of PI in k 0.299 * [taylor]: Taking taylor expansion of n in k 0.299 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.299 * [taylor]: Taking taylor expansion of 0.5 in n 0.299 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.299 * [taylor]: Taking taylor expansion of k in n 0.299 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.300 * [taylor]: Taking taylor expansion of 0.5 in n 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.300 * [taylor]: Taking taylor expansion of 1.0 in n 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.300 * [taylor]: Taking taylor expansion of k in n 0.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.300 * [taylor]: Taking taylor expansion of 2.0 in n 0.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.300 * [taylor]: Taking taylor expansion of PI in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.300 * [taylor]: Taking taylor expansion of 0.5 in k 0.300 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.300 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.300 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.300 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.300 * [taylor]: Taking taylor expansion of 2.0 in k 0.300 * [taylor]: Taking taylor expansion of PI in k 0.300 * [taylor]: Taking taylor expansion of (log n) in k 0.300 * [taylor]: Taking taylor expansion of n in k 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.300 * [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 0 in k 0.302 * [taylor]: Taking taylor expansion of 0 in k 0.303 * [taylor]: Taking taylor expansion of 0 in k 0.304 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.304 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.304 * [taylor]: Taking taylor expansion of 0.5 in k 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.304 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.304 * [taylor]: Taking taylor expansion of k in k 0.304 * [taylor]: Taking taylor expansion of 1.0 in k 0.304 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.304 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.304 * [taylor]: Taking taylor expansion of -2.0 in k 0.304 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.304 * [taylor]: Taking taylor expansion of PI in k 0.304 * [taylor]: Taking taylor expansion of n in k 0.304 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.304 * [taylor]: Taking taylor expansion of 0.5 in n 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.304 * [taylor]: Taking taylor expansion of k in n 0.304 * [taylor]: Taking taylor expansion of 1.0 in n 0.304 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.304 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.304 * [taylor]: Taking taylor expansion of -2.0 in n 0.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.304 * [taylor]: Taking taylor expansion of PI in n 0.304 * [taylor]: Taking taylor expansion of n in n 0.305 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.305 * [taylor]: Taking taylor expansion of 0.5 in n 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.305 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.305 * [taylor]: Taking taylor expansion of k in n 0.305 * [taylor]: Taking taylor expansion of 1.0 in n 0.305 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.305 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.305 * [taylor]: Taking taylor expansion of -2.0 in n 0.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.305 * [taylor]: Taking taylor expansion of PI in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.305 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.305 * [taylor]: Taking taylor expansion of 0.5 in k 0.305 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.305 * [taylor]: Taking taylor expansion of k in k 0.305 * [taylor]: Taking taylor expansion of 1.0 in k 0.305 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.305 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.305 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.305 * [taylor]: Taking taylor expansion of -2.0 in k 0.305 * [taylor]: Taking taylor expansion of PI in k 0.306 * [taylor]: Taking taylor expansion of (log n) in k 0.306 * [taylor]: Taking taylor expansion of n in k 0.306 * [taylor]: Taking taylor expansion of 0 in k 0.307 * [taylor]: Taking taylor expansion of 0 in k 0.308 * [taylor]: Taking taylor expansion of 0 in k 0.308 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.309 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 0.309 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 0.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.309 * [taylor]: Taking taylor expansion of 0.5 in k 0.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.309 * [taylor]: Taking taylor expansion of 1.0 in k 0.309 * [taylor]: Taking taylor expansion of k in k 0.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.309 * [taylor]: Taking taylor expansion of 2.0 in k 0.309 * [taylor]: Taking taylor expansion of (* n PI) in k 0.309 * [taylor]: Taking taylor expansion of n in k 0.309 * [taylor]: Taking taylor expansion of PI in k 0.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.309 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.309 * [taylor]: Taking taylor expansion of k in k 0.309 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.309 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.309 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.309 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.309 * [taylor]: Taking taylor expansion of 0.5 in n 0.309 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.309 * [taylor]: Taking taylor expansion of 1.0 in n 0.309 * [taylor]: Taking taylor expansion of k in n 0.309 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.309 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.309 * [taylor]: Taking taylor expansion of 2.0 in n 0.309 * [taylor]: Taking taylor expansion of (* n PI) in n 0.309 * [taylor]: Taking taylor expansion of n in n 0.309 * [taylor]: Taking taylor expansion of PI in n 0.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.310 * [taylor]: Taking taylor expansion of k in n 0.310 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.310 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.310 * [taylor]: Taking taylor expansion of 0.5 in n 0.310 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.310 * [taylor]: Taking taylor expansion of 1.0 in n 0.310 * [taylor]: Taking taylor expansion of k in n 0.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.310 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.310 * [taylor]: Taking taylor expansion of 2.0 in n 0.310 * [taylor]: Taking taylor expansion of (* n PI) in n 0.310 * [taylor]: Taking taylor expansion of n in n 0.310 * [taylor]: Taking taylor expansion of PI in n 0.310 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.310 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.310 * [taylor]: Taking taylor expansion of k in n 0.311 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 0.311 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.311 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.311 * [taylor]: Taking taylor expansion of k in k 0.311 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.311 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.311 * [taylor]: Taking taylor expansion of 0.5 in k 0.311 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.311 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.311 * [taylor]: Taking taylor expansion of 1.0 in k 0.311 * [taylor]: Taking taylor expansion of k in k 0.311 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.311 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.311 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.311 * [taylor]: Taking taylor expansion of 2.0 in k 0.311 * [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 0.312 * [taylor]: Taking taylor expansion of 0 in k 0.314 * [taylor]: Taking taylor expansion of 0 in k 0.317 * [taylor]: Taking taylor expansion of 0 in k 0.324 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.324 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.324 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.324 * [taylor]: Taking taylor expansion of k in k 0.324 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.324 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.324 * [taylor]: Taking taylor expansion of 0.5 in k 0.324 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.324 * [taylor]: Taking taylor expansion of 1.0 in k 0.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.324 * [taylor]: Taking taylor expansion of k in k 0.324 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.324 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.324 * [taylor]: Taking taylor expansion of 2.0 in k 0.324 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.324 * [taylor]: Taking taylor expansion of PI in k 0.324 * [taylor]: Taking taylor expansion of n in k 0.325 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.325 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.325 * [taylor]: Taking taylor expansion of k in n 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.325 * [taylor]: Taking taylor expansion of 0.5 in n 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.325 * [taylor]: Taking taylor expansion of k in n 0.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.325 * [taylor]: Taking taylor expansion of 2.0 in n 0.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.325 * [taylor]: Taking taylor expansion of PI in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.325 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.325 * [taylor]: Taking taylor expansion of k in n 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.326 * [taylor]: Taking taylor expansion of 0.5 in n 0.326 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.326 * [taylor]: Taking taylor expansion of 1.0 in n 0.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.326 * [taylor]: Taking taylor expansion of k in n 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.326 * [taylor]: Taking taylor expansion of 2.0 in n 0.326 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.326 * [taylor]: Taking taylor expansion of PI in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 0.326 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.326 * [taylor]: Taking taylor expansion of k in k 0.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.326 * [taylor]: Taking taylor expansion of 0.5 in k 0.326 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.326 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.326 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.326 * [taylor]: Taking taylor expansion of 2.0 in k 0.326 * [taylor]: Taking taylor expansion of PI in k 0.326 * [taylor]: Taking taylor expansion of (log n) in k 0.326 * [taylor]: Taking taylor expansion of n in k 0.327 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.327 * [taylor]: Taking taylor expansion of 1.0 in k 0.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.327 * [taylor]: Taking taylor expansion of k in k 0.328 * [taylor]: Taking taylor expansion of 0 in k 0.329 * [taylor]: Taking taylor expansion of 0 in k 0.330 * [taylor]: Taking taylor expansion of 0 in k 0.332 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.332 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.332 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.332 * [taylor]: Taking taylor expansion of 0.5 in k 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.332 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.332 * [taylor]: Taking taylor expansion of -2.0 in k 0.332 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.332 * [taylor]: Taking taylor expansion of PI in k 0.332 * [taylor]: Taking taylor expansion of n in k 0.332 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.332 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.332 * [taylor]: Taking taylor expansion of -1 in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.333 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.333 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.333 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.333 * [taylor]: Taking taylor expansion of 0.5 in n 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.333 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.333 * [taylor]: Taking taylor expansion of k in n 0.333 * [taylor]: Taking taylor expansion of 1.0 in n 0.333 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.333 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.333 * [taylor]: Taking taylor expansion of -2.0 in n 0.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.333 * [taylor]: Taking taylor expansion of PI in n 0.333 * [taylor]: Taking taylor expansion of n in n 0.333 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.333 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.333 * [taylor]: Taking taylor expansion of -1 in n 0.333 * [taylor]: Taking taylor expansion of k in n 0.333 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.333 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.334 * [taylor]: Taking taylor expansion of 0.5 in n 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.334 * [taylor]: Taking taylor expansion of k in n 0.334 * [taylor]: Taking taylor expansion of 1.0 in n 0.334 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.334 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.334 * [taylor]: Taking taylor expansion of -2.0 in n 0.334 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.334 * [taylor]: Taking taylor expansion of PI in n 0.334 * [taylor]: Taking taylor expansion of n in n 0.334 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.334 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.334 * [taylor]: Taking taylor expansion of -1 in n 0.334 * [taylor]: Taking taylor expansion of k in n 0.334 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.334 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.334 * [taylor]: Taking taylor expansion of 0.5 in k 0.334 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.335 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.335 * [taylor]: Taking taylor expansion of k in k 0.335 * [taylor]: Taking taylor expansion of 1.0 in k 0.335 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.335 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.335 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.335 * [taylor]: Taking taylor expansion of -2.0 in k 0.335 * [taylor]: Taking taylor expansion of PI in k 0.335 * [taylor]: Taking taylor expansion of (log n) in k 0.335 * [taylor]: Taking taylor expansion of n in k 0.335 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.335 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.335 * [taylor]: Taking taylor expansion of -1 in k 0.335 * [taylor]: Taking taylor expansion of k in k 0.336 * [taylor]: Taking taylor expansion of 0 in k 0.338 * [taylor]: Taking taylor expansion of 0 in k 0.340 * [taylor]: Taking taylor expansion of 0 in k 0.340 * * * [progress]: simplifying candidates 0.345 * [simplify]: Simplifying using # : (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 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 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (+ (log 2.0) (log (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (* (log (* 2.0 (* PI n))) (/ (- 1.0 k) 2.0)) (log (sqrt k))) (- (log (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (log (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (* (* (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (* (* (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt 1)) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) 1) (/ (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1 1) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (cbrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) 1) (/ (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt 1)) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) 1) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* 2.0 (* PI n)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt k) (pow (* 2.0 (* PI n)) (/ k 2.0))) (* n PI) (* n PI) (* n PI) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.125 (* (pow k 2) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))) (+ (* k (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* (pow k 2) (* (pow NAN 5) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (+ (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))) (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))))) (+ (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow NAN 3) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (+ (* 0.5 (* k (* NAN (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (* NAN (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))))))) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3)))) (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) 0.386 * * [simplify]: iteration 0 : 5008 enodes (cost 2183 ) 0.393 * [simplify]: Simplified to: (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt (- 1.0 k))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (+ (sqrt 1.0) (sqrt k))) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* PI (* 2.0 n))) (/ (- 1.0 k) 2.0)) (exp (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (log (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (exp (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (pow (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) 3) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k))) (neg (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (neg (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (/ (pow (* PI n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1 (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (cbrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (cbrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (/ (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (fabs (cbrt k))) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)) (/ (sqrt k) (pow (* PI n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (cbrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (sqrt (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (* (/ (- 1.0 k) 2.0) 1/2))) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* (* k k) (* (pow (* PI (* 2.0 n)) 0.5) (+ (pow (log (* PI 2.0)) 2) (pow (log n) 2))))) (- (+ (pow (* PI (* 2.0 n)) 0.5) (* (* k k) (* (* (log n) (* (log (* PI 2.0)) (pow (* PI (* 2.0 n)) 0.5))) 0.25))) (* 0.5 (* k (* (pow (* PI (* 2.0 n)) 0.5) (log (* PI (* 2.0 n)))))))) (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) (+ (* 0.125 (* k (* k (* (pow (* PI (* 2.0 n)) 0.5) (* NAN (pow (log n) 2)))))) (+ (* k (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) (- (+ (* (pow (* PI (* 2.0 n)) 0.5) (+ (* k (* k (pow NAN 5))) NAN)) (* (* k k) (+ (* (* (log (* PI 2.0)) (* (log n) (* (pow (* PI (* 2.0 n)) 0.5) NAN))) 0.25) (* (* (pow (log (* PI 2.0)) 2) (* (pow (* PI (* 2.0 n)) 0.5) NAN)) 0.125)))) (+ (* 0.5 (* k (* NAN (* (pow (* PI (* 2.0 n)) 0.5) (log (* PI (* 2.0 n))))))) (* (* (* (* k k) 0.5) (* (pow (* PI (* 2.0 n)) 0.5) (pow NAN 3))) (log (* PI (* 2.0 n)))))))) (+ (* (/ (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) k) NAN) (* (/ (pow (* PI (* 2.0 n)) (* (- 1.0 k) 0.5)) (* k k)) (+ (pow NAN 3) (/ (pow NAN 5) k)))) (+ (/ (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))) NAN) (* (/ NAN k) (pow (exp 0.5) (* (- 1.0 k) (- (log (* PI -2.0)) (log (/ -1 n))))))) 0.394 * * * [progress]: adding candidates to table 0.604 * * [progress]: iteration 2 / 4 0.604 * * * [progress]: picking best candidate 0.645 * * * * [pick]: Picked # 0.645 * * * [progress]: localizing error 0.665 * * * [progress]: generating rewritten candidates 0.665 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 0.670 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 2) 0.674 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.683 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.695 * * * [progress]: generating series expansions 0.695 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 0.695 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.696 * [taylor]: Taking taylor expansion of 2.0 in n 0.696 * [taylor]: Taking taylor expansion of (* n PI) in n 0.696 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of PI in n 0.696 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.696 * [taylor]: Taking taylor expansion of 2.0 in n 0.696 * [taylor]: Taking taylor expansion of (* n PI) in n 0.696 * [taylor]: Taking taylor expansion of n in n 0.696 * [taylor]: Taking taylor expansion of PI in n 0.697 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.697 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.697 * [taylor]: Taking taylor expansion of 2.0 in n 0.697 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.697 * [taylor]: Taking taylor expansion of PI in n 0.697 * [taylor]: Taking taylor expansion of n in n 0.698 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.698 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.698 * [taylor]: Taking taylor expansion of -2.0 in n 0.698 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.698 * [taylor]: Taking taylor expansion of PI in n 0.698 * [taylor]: Taking taylor expansion of n in n 0.698 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.698 * [taylor]: Taking taylor expansion of -2.0 in n 0.698 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.698 * [taylor]: Taking taylor expansion of PI in n 0.698 * [taylor]: Taking taylor expansion of n in n 0.699 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 2) 0.699 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.699 * [taylor]: Taking taylor expansion of (* n PI) in n 0.699 * [taylor]: Taking taylor expansion of n in n 0.699 * [taylor]: Taking taylor expansion of PI in n 0.699 * [taylor]: Taking taylor expansion of (* n PI) in n 0.699 * [taylor]: Taking taylor expansion of n in n 0.699 * [taylor]: Taking taylor expansion of PI in n 0.700 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.700 * [taylor]: Taking taylor expansion of PI in n 0.700 * [taylor]: Taking taylor expansion of n in n 0.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.700 * [taylor]: Taking taylor expansion of PI in n 0.700 * [taylor]: Taking taylor expansion of n in n 0.700 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.700 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.700 * [taylor]: Taking taylor expansion of -1 in n 0.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.700 * [taylor]: Taking taylor expansion of PI in n 0.700 * [taylor]: Taking taylor expansion of n in n 0.700 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.700 * [taylor]: Taking taylor expansion of -1 in n 0.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.700 * [taylor]: Taking taylor expansion of PI in n 0.700 * [taylor]: Taking taylor expansion of n in n 0.701 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.701 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (n k) around 0 0.701 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 0.702 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.702 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.702 * [taylor]: Taking taylor expansion of k in k 0.702 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 0.702 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 0.702 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 0.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 0.702 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 0.702 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 0.702 * [taylor]: Taking taylor expansion of 0.5 in k 0.702 * [taylor]: Taking taylor expansion of k in k 0.702 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.702 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.702 * [taylor]: Taking taylor expansion of 2.0 in k 0.702 * [taylor]: Taking taylor expansion of (* n PI) in k 0.702 * [taylor]: Taking taylor expansion of n in k 0.702 * [taylor]: Taking taylor expansion of PI in k 0.702 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 0.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 0.702 * [taylor]: Taking taylor expansion of 0.5 in k 0.702 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 0.702 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 0.702 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.702 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.702 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.702 * [taylor]: Taking taylor expansion of 1.0 in k 0.702 * [taylor]: Taking taylor expansion of (log PI) in k 0.702 * [taylor]: Taking taylor expansion of PI in k 0.702 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 0.703 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.703 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.703 * [taylor]: Taking taylor expansion of 1.0 in k 0.703 * [taylor]: Taking taylor expansion of (log n) in k 0.703 * [taylor]: Taking taylor expansion of n in k 0.703 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.703 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.703 * [taylor]: Taking taylor expansion of 1.0 in k 0.703 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.703 * [taylor]: Taking taylor expansion of 2.0 in k 0.704 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.704 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.704 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.704 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.704 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 0.704 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.704 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.704 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.704 * [taylor]: Taking taylor expansion of 0.5 in n 0.704 * [taylor]: Taking taylor expansion of k in n 0.704 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.704 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.704 * [taylor]: Taking taylor expansion of 2.0 in n 0.704 * [taylor]: Taking taylor expansion of (* n PI) in n 0.704 * [taylor]: Taking taylor expansion of n in n 0.704 * [taylor]: Taking taylor expansion of PI in n 0.704 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.704 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.704 * [taylor]: Taking taylor expansion of 0.5 in n 0.704 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.704 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.704 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.705 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.705 * [taylor]: Taking taylor expansion of 1.0 in n 0.705 * [taylor]: Taking taylor expansion of (log PI) in n 0.705 * [taylor]: Taking taylor expansion of PI in n 0.705 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.705 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.705 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.705 * [taylor]: Taking taylor expansion of 1.0 in n 0.705 * [taylor]: Taking taylor expansion of (log n) in n 0.705 * [taylor]: Taking taylor expansion of n in n 0.705 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.705 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.705 * [taylor]: Taking taylor expansion of 1.0 in n 0.705 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.705 * [taylor]: Taking taylor expansion of 2.0 in n 0.706 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.706 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.706 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 0.706 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.706 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.706 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.706 * [taylor]: Taking taylor expansion of 0.5 in n 0.706 * [taylor]: Taking taylor expansion of k in n 0.706 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.706 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.706 * [taylor]: Taking taylor expansion of 2.0 in n 0.706 * [taylor]: Taking taylor expansion of (* n PI) in n 0.706 * [taylor]: Taking taylor expansion of n in n 0.706 * [taylor]: Taking taylor expansion of PI in n 0.707 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.707 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.707 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.707 * [taylor]: Taking taylor expansion of 0.5 in n 0.707 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.707 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.707 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.707 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (log PI) in n 0.707 * [taylor]: Taking taylor expansion of PI in n 0.707 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.707 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.707 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (log n) in n 0.707 * [taylor]: Taking taylor expansion of n in n 0.707 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.707 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.707 * [taylor]: Taking taylor expansion of 1.0 in n 0.707 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.707 * [taylor]: Taking taylor expansion of 2.0 in n 0.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 0.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.709 * [taylor]: Taking taylor expansion of k in k 0.709 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 0.709 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 0.709 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 0.709 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 0.709 * [taylor]: Taking taylor expansion of 0.5 in k 0.709 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 0.709 * [taylor]: Taking taylor expansion of k in k 0.709 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.709 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.709 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.709 * [taylor]: Taking taylor expansion of 2.0 in k 0.709 * [taylor]: Taking taylor expansion of PI in k 0.709 * [taylor]: Taking taylor expansion of (log n) in k 0.709 * [taylor]: Taking taylor expansion of n in k 0.710 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 0.710 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 0.710 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 0.710 * [taylor]: Taking taylor expansion of 0.5 in k 0.710 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 0.710 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 0.710 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.710 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.710 * [taylor]: Taking taylor expansion of 1.0 in k 0.710 * [taylor]: Taking taylor expansion of (log PI) in k 0.710 * [taylor]: Taking taylor expansion of PI in k 0.710 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 0.710 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.710 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.710 * [taylor]: Taking taylor expansion of 1.0 in k 0.710 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.710 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.710 * [taylor]: Taking taylor expansion of 1.0 in k 0.710 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.710 * [taylor]: Taking taylor expansion of (log 1) in k 0.710 * [taylor]: Taking taylor expansion of 1 in k 0.710 * [taylor]: Taking taylor expansion of (log n) in k 0.710 * [taylor]: Taking taylor expansion of n in k 0.710 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.710 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.711 * [taylor]: Taking taylor expansion of 1.0 in k 0.711 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.711 * [taylor]: Taking taylor expansion of 2.0 in k 0.715 * [taylor]: Taking taylor expansion of 0 in k 0.722 * [taylor]: Taking taylor expansion of 0 in k 0.736 * [taylor]: Taking taylor expansion of 0 in k 0.760 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 0.760 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 0.760 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 0.760 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 0.760 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 0.760 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 0.760 * [taylor]: Taking taylor expansion of 0.5 in k 0.760 * [taylor]: Taking taylor expansion of k in k 0.760 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.760 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.760 * [taylor]: Taking taylor expansion of 2.0 in k 0.760 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.760 * [taylor]: Taking taylor expansion of PI in k 0.760 * [taylor]: Taking taylor expansion of n in k 0.760 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 0.760 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.760 * [taylor]: Taking taylor expansion of k in k 0.760 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 0.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 0.760 * [taylor]: Taking taylor expansion of 0.5 in k 0.760 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 0.760 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 0.761 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 0.761 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.761 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.761 * [taylor]: Taking taylor expansion of 1.0 in k 0.761 * [taylor]: Taking taylor expansion of (log PI) in k 0.761 * [taylor]: Taking taylor expansion of PI in k 0.761 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.761 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.761 * [taylor]: Taking taylor expansion of 1.0 in k 0.761 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.761 * [taylor]: Taking taylor expansion of 2.0 in k 0.761 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.761 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.761 * [taylor]: Taking taylor expansion of 1.0 in k 0.761 * [taylor]: Taking taylor expansion of (log n) in k 0.761 * [taylor]: Taking taylor expansion of n in k 0.762 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 0.762 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.762 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.762 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.762 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.762 * [taylor]: Taking taylor expansion of 0.5 in n 0.762 * [taylor]: Taking taylor expansion of k in n 0.762 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.762 * [taylor]: Taking taylor expansion of 2.0 in n 0.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.762 * [taylor]: Taking taylor expansion of PI in n 0.762 * [taylor]: Taking taylor expansion of n in n 0.762 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 0.762 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.762 * [taylor]: Taking taylor expansion of k in n 0.762 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 0.763 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 0.763 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 0.763 * [taylor]: Taking taylor expansion of 0.5 in n 0.763 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 0.763 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 0.763 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 0.763 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.763 * [taylor]: Taking taylor expansion of 1.0 in n 0.763 * [taylor]: Taking taylor expansion of (log PI) in n 0.763 * [taylor]: Taking taylor expansion of PI in n 0.763 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.763 * [taylor]: Taking taylor expansion of 1.0 in n 0.763 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.763 * [taylor]: Taking taylor expansion of 2.0 in n 0.763 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.763 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.763 * [taylor]: Taking taylor expansion of 1.0 in n 0.763 * [taylor]: Taking taylor expansion of (log n) in n 0.763 * [taylor]: Taking taylor expansion of n in n 0.764 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 0.764 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.764 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.764 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.764 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.764 * [taylor]: Taking taylor expansion of 0.5 in n 0.764 * [taylor]: Taking taylor expansion of k in n 0.764 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.764 * [taylor]: Taking taylor expansion of 2.0 in n 0.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.764 * [taylor]: Taking taylor expansion of PI in n 0.764 * [taylor]: Taking taylor expansion of n in n 0.765 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 0.765 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.765 * [taylor]: Taking taylor expansion of k in n 0.765 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 0.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 0.765 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 0.765 * [taylor]: Taking taylor expansion of 0.5 in n 0.765 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 0.765 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 0.765 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 0.765 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.765 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.765 * [taylor]: Taking taylor expansion of 1.0 in n 0.765 * [taylor]: Taking taylor expansion of (log PI) in n 0.765 * [taylor]: Taking taylor expansion of PI in n 0.765 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.765 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.765 * [taylor]: Taking taylor expansion of 1.0 in n 0.765 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.765 * [taylor]: Taking taylor expansion of 2.0 in n 0.765 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.765 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.765 * [taylor]: Taking taylor expansion of 1.0 in n 0.765 * [taylor]: Taking taylor expansion of (log n) in n 0.765 * [taylor]: Taking taylor expansion of n in n 0.767 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 0.767 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.767 * [taylor]: Taking taylor expansion of k in k 0.767 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 0.767 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 0.767 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 0.767 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 0.767 * [taylor]: Taking taylor expansion of 0.5 in k 0.767 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 0.767 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 0.767 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 0.767 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.767 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.767 * [taylor]: Taking taylor expansion of 1.0 in k 0.767 * [taylor]: Taking taylor expansion of (log PI) in k 0.767 * [taylor]: Taking taylor expansion of PI in k 0.767 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.767 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.767 * [taylor]: Taking taylor expansion of 1.0 in k 0.767 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.767 * [taylor]: Taking taylor expansion of 2.0 in k 0.767 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.767 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.767 * [taylor]: Taking taylor expansion of 1.0 in k 0.767 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.767 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.767 * [taylor]: Taking taylor expansion of 1.0 in k 0.768 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.768 * [taylor]: Taking taylor expansion of (log 1) in k 0.768 * [taylor]: Taking taylor expansion of 1 in k 0.768 * [taylor]: Taking taylor expansion of (log n) in k 0.768 * [taylor]: Taking taylor expansion of n in k 0.769 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 0.769 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 0.769 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 0.769 * [taylor]: Taking taylor expansion of 0.5 in k 0.769 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 0.769 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.769 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.769 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.769 * [taylor]: Taking taylor expansion of 2.0 in k 0.769 * [taylor]: Taking taylor expansion of PI in k 0.769 * [taylor]: Taking taylor expansion of (log n) in k 0.769 * [taylor]: Taking taylor expansion of n in k 0.769 * [taylor]: Taking taylor expansion of k in k 0.773 * [taylor]: Taking taylor expansion of 0 in k 0.780 * [taylor]: Taking taylor expansion of 0 in k 0.791 * [taylor]: Taking taylor expansion of 0 in k 0.799 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in (n k) around 0 0.799 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 0.799 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 0.799 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 0.800 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.800 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.800 * [taylor]: Taking taylor expansion of -1 in k 0.800 * [taylor]: Taking taylor expansion of k in k 0.800 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 0.800 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 0.800 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 0.800 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 0.800 * [taylor]: Taking taylor expansion of -0.5 in k 0.800 * [taylor]: Taking taylor expansion of k in k 0.800 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.800 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.800 * [taylor]: Taking taylor expansion of -2.0 in k 0.800 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.800 * [taylor]: Taking taylor expansion of PI in k 0.800 * [taylor]: Taking taylor expansion of n in k 0.800 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 0.800 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 0.800 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 0.800 * [taylor]: Taking taylor expansion of 0.5 in k 0.800 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 0.800 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 0.800 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 0.800 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 0.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 0.800 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 0.800 * [taylor]: Taking taylor expansion of 1.0 in k 0.800 * [taylor]: Taking taylor expansion of (log -2.0) in k 0.800 * [taylor]: Taking taylor expansion of -2.0 in k 0.801 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.801 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.801 * [taylor]: Taking taylor expansion of 1.0 in k 0.801 * [taylor]: Taking taylor expansion of (log PI) in k 0.801 * [taylor]: Taking taylor expansion of PI in k 0.801 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.801 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.801 * [taylor]: Taking taylor expansion of 1.0 in k 0.801 * [taylor]: Taking taylor expansion of (log n) in k 0.801 * [taylor]: Taking taylor expansion of n in k 0.802 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 0.802 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 0.802 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 0.802 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.802 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.802 * [taylor]: Taking taylor expansion of -1 in n 0.802 * [taylor]: Taking taylor expansion of k in n 0.802 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.802 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.802 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.802 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.802 * [taylor]: Taking taylor expansion of -0.5 in n 0.802 * [taylor]: Taking taylor expansion of k in n 0.802 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.802 * [taylor]: Taking taylor expansion of -2.0 in n 0.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.803 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.803 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.803 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.803 * [taylor]: Taking taylor expansion of 0.5 in n 0.803 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.803 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.803 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 0.803 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 0.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 0.803 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 0.803 * [taylor]: Taking taylor expansion of 1.0 in n 0.803 * [taylor]: Taking taylor expansion of (log -2.0) in n 0.803 * [taylor]: Taking taylor expansion of -2.0 in n 0.803 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.803 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.803 * [taylor]: Taking taylor expansion of 1.0 in n 0.803 * [taylor]: Taking taylor expansion of (log PI) in n 0.803 * [taylor]: Taking taylor expansion of PI in n 0.803 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.803 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.803 * [taylor]: Taking taylor expansion of 1.0 in n 0.803 * [taylor]: Taking taylor expansion of (log n) in n 0.803 * [taylor]: Taking taylor expansion of n in n 0.804 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 0.804 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 0.804 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 0.804 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.804 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.804 * [taylor]: Taking taylor expansion of -1 in n 0.804 * [taylor]: Taking taylor expansion of k in n 0.804 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.804 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.804 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.804 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.804 * [taylor]: Taking taylor expansion of -0.5 in n 0.804 * [taylor]: Taking taylor expansion of k in n 0.804 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.804 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.804 * [taylor]: Taking taylor expansion of -2.0 in n 0.804 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.805 * [taylor]: Taking taylor expansion of PI in n 0.805 * [taylor]: Taking taylor expansion of n in n 0.805 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.805 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.805 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.805 * [taylor]: Taking taylor expansion of 0.5 in n 0.805 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.805 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.805 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 0.805 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 0.805 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 0.805 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 0.805 * [taylor]: Taking taylor expansion of 1.0 in n 0.805 * [taylor]: Taking taylor expansion of (log -2.0) in n 0.805 * [taylor]: Taking taylor expansion of -2.0 in n 0.805 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.805 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.805 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.805 * [taylor]: Taking taylor expansion of 1.0 in n 0.805 * [taylor]: Taking taylor expansion of (log PI) in n 0.805 * [taylor]: Taking taylor expansion of PI in n 0.805 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.805 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.805 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.805 * [taylor]: Taking taylor expansion of 1.0 in n 0.805 * [taylor]: Taking taylor expansion of (log n) in n 0.805 * [taylor]: Taking taylor expansion of n in n 0.807 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 0.807 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 0.807 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 0.807 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 0.807 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 0.807 * [taylor]: Taking taylor expansion of -0.5 in k 0.807 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 0.807 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.807 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.807 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.807 * [taylor]: Taking taylor expansion of -2.0 in k 0.807 * [taylor]: Taking taylor expansion of PI in k 0.807 * [taylor]: Taking taylor expansion of (log n) in k 0.807 * [taylor]: Taking taylor expansion of n in k 0.807 * [taylor]: Taking taylor expansion of k in k 0.807 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.807 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.807 * [taylor]: Taking taylor expansion of -1 in k 0.808 * [taylor]: Taking taylor expansion of k in k 0.808 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 0.808 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 0.808 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 0.808 * [taylor]: Taking taylor expansion of 0.5 in k 0.808 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 0.808 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 0.808 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 0.808 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 0.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 0.808 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 0.808 * [taylor]: Taking taylor expansion of 1.0 in k 0.808 * [taylor]: Taking taylor expansion of (log -2.0) in k 0.808 * [taylor]: Taking taylor expansion of -2.0 in k 0.808 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.808 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.808 * [taylor]: Taking taylor expansion of 1.0 in k 0.808 * [taylor]: Taking taylor expansion of (log PI) in k 0.808 * [taylor]: Taking taylor expansion of PI in k 0.808 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.808 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.808 * [taylor]: Taking taylor expansion of 1.0 in k 0.808 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.808 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.808 * [taylor]: Taking taylor expansion of 1.0 in k 0.808 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.808 * [taylor]: Taking taylor expansion of (log 1) in k 0.808 * [taylor]: Taking taylor expansion of 1 in k 0.808 * [taylor]: Taking taylor expansion of (log n) in k 0.808 * [taylor]: Taking taylor expansion of n in k 0.813 * [taylor]: Taking taylor expansion of 0 in k 0.821 * [taylor]: Taking taylor expansion of 0 in k 0.831 * [taylor]: Taking taylor expansion of 0 in k 0.834 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.834 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 0.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.834 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.834 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.834 * [taylor]: Taking taylor expansion of 0.5 in n 0.834 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.834 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.834 * [taylor]: Taking taylor expansion of 2.0 in n 0.834 * [taylor]: Taking taylor expansion of (* n PI) in n 0.834 * [taylor]: Taking taylor expansion of n in n 0.834 * [taylor]: Taking taylor expansion of PI in n 0.834 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.834 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.835 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.835 * [taylor]: Taking taylor expansion of 0.5 in n 0.835 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.835 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.835 * [taylor]: Taking taylor expansion of 2.0 in n 0.835 * [taylor]: Taking taylor expansion of (* n PI) in n 0.835 * [taylor]: Taking taylor expansion of n in n 0.835 * [taylor]: Taking taylor expansion of PI in n 0.842 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 0.842 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 0.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 0.843 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 0.843 * [taylor]: Taking taylor expansion of 0.5 in n 0.843 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.843 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.843 * [taylor]: Taking taylor expansion of 2.0 in n 0.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.843 * [taylor]: Taking taylor expansion of PI in n 0.843 * [taylor]: Taking taylor expansion of n in n 0.843 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 0.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 0.843 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 0.843 * [taylor]: Taking taylor expansion of 0.5 in n 0.843 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.843 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.843 * [taylor]: Taking taylor expansion of 2.0 in n 0.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.843 * [taylor]: Taking taylor expansion of PI in n 0.843 * [taylor]: Taking taylor expansion of n in n 0.851 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 0.851 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 0.851 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 0.851 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 0.851 * [taylor]: Taking taylor expansion of 0.5 in n 0.851 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.851 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.851 * [taylor]: Taking taylor expansion of -2.0 in n 0.851 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.851 * [taylor]: Taking taylor expansion of PI in n 0.851 * [taylor]: Taking taylor expansion of n in n 0.852 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 0.852 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 0.852 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 0.852 * [taylor]: Taking taylor expansion of 0.5 in n 0.852 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.852 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.852 * [taylor]: Taking taylor expansion of -2.0 in n 0.852 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.852 * [taylor]: Taking taylor expansion of PI in n 0.852 * [taylor]: Taking taylor expansion of n in n 0.859 * * * [progress]: simplifying candidates 0.861 * [simplify]: Simplifying using # : (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (log PI) (+ (log 2.0) (log n))) (+ (log PI) (log (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* PI (* 2.0 n))) (* (* (* PI PI) PI) (* (* (* 2.0 2.0) 2.0) (* (* n n) n))) (* (* (* PI PI) PI) (* (* (* 2.0 n) (* 2.0 n)) (* 2.0 n))) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (* (* (* PI (* 2.0 n)) (* PI (* 2.0 n))) (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* (cbrt PI) (* 2.0 n)) (* (sqrt PI) (* 2.0 n)) (* PI (* 2.0 n)) (* PI n) (+ (log PI) (log n)) (log (* PI n)) (exp (* PI n)) (* (* (* PI PI) PI) (* (* n n) n)) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* (* PI n) (* PI n)) (* PI n)) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) (* PI 1) (* (cbrt PI) n) (* (sqrt PI) n) (* PI n) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (* (+ (log 2.0) (log (* PI n))) (/ 1.0 2.0)) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (* (log (* 2.0 (* PI n))) (/ 1.0 2.0)) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (log (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (exp (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (/ (* (* (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (* (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (/ (* (* (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (* (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (* (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))))) (cbrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (* (* (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (sqrt (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (neg (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (neg (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))) (/ (pow 2.0 (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt k)) (/ 1 (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (sqrt k)) (/ (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (sqrt k)) (/ 1 (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (/ (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (pow (* PI n) (/ 1.0 2.0))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2))) (* (+ (log 2.0) (+ (log PI) (log n))) (/ 1.0 2.0)) (* (+ (log 2.0) (log (* 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 (/ 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 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (log (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (exp (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0)))) (cbrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (* (* (pow (* 2.0 (* PI n)) (/ 1.0 2.0)) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (sqrt (pow (* 2.0 (* PI n)) (/ 1.0 2.0))) (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 (* PI n)) (/ (/ 1.0 2.0) 2)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* n PI) (* n PI) (* n PI) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* (* (pow k 2) (pow NAN 5)) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) (+ (* (* k (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5)) (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)))) (+ (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5)) (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 0.891 * * [simplify]: iteration 0 : 5040 enodes (cost 2023 ) 0.898 * [simplify]: Simplified to: (* PI (* 2.0 n)) (* PI (* 2.0 n)) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (log (* PI (* 2.0 n))) (pow (pow (exp PI) n) 2.0) (pow (* PI (* 2.0 n)) 3) (pow (* PI (* 2.0 n)) 3) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (pow (* PI (* 2.0 n)) 3) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* 2.0 (* n (cbrt PI))) (* 2.0 (* n (sqrt PI))) (* PI (* 2.0 n)) (* PI n) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (* (cbrt n) (cbrt n))) (* PI (sqrt n)) PI (* n (cbrt PI)) (* n (sqrt PI)) (* PI n) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* 2.0 n))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (exp (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (pow (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) 3) (pow (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) 3) (* (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))))) (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (pow (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) 3) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (neg (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (sqrt k) (neg (pow (* PI (* 2.0 n)) (/ k 2.0)))) (/ (pow 2.0 (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (sqrt k)) (* (/ (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt k)) (/ 1 (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (/ 1.0 (* 2.0 2))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* PI (* 2.0 n)) (/ 1.0 (* 2.0 2))) (sqrt k)) (/ 1 (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (* (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt k)) (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI n) (/ 1.0 2.0))) (sqrt k)) (* (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (sqrt k)) (* (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (sqrt k)) (* (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt k)) (* (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (/ 1.0 (* 2.0 2)))) (sqrt k)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* PI (* 2.0 n)) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* PI (* 2.0 n)) (sqrt (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (* (/ (cbrt 1.0) (cbrt 2.0)) (/ (cbrt 1.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (* (/ (cbrt 1.0) (sqrt 2.0)) (cbrt 1.0))) (pow (* PI (* 2.0 n)) (* (cbrt 1.0) (cbrt 1.0))) (pow (* PI (* 2.0 n)) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* PI (* 2.0 n)) (sqrt 1.0)) (pow (* PI (* 2.0 n)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* PI (* 2.0 n)) (/ 1 (sqrt 2.0))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (pow (* PI (* 2.0 n)) 1.0) (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (exp (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) 3) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ 1.0 (* 2.0 2))) (pow (* PI (* 2.0 n)) (/ 1.0 (* 2.0 2))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI n) (* PI n) (* PI n) (+ (* 0.125 (* k (* k (* (pow (log (* PI 2.0)) 2) (* NAN (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log n) 2))))) (* k (* k (pow NAN 5))))) (- (+ (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* (* k k) (* (* (log n) (log (* PI 2.0))) NAN)) 0.25)) (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (pow NAN 3)) NAN))) (+ (* 0.5 (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (log (* PI 2.0)) NAN)) (* (log n) (* k (* k (pow NAN 3))))))) (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (log n) (* k NAN))) (* 0.5 (* k (* k (* (log (* PI 2.0)) (pow NAN 3))))))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (pow (* PI (* 2.0 n)) (* k 0.5)))) (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5)) (* (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5) (+ (/ (pow NAN 3) (* k (* k (pow (* PI (* 2.0 n)) (* k 0.5))))) (/ NAN (* k (pow (* PI (* 2.0 n)) (* k 0.5))))))) (* (pow (* (/ (pow -2.0 1.0) (pow (pow (/ -1 n) 1.0) 1.0)) (pow PI 1.0)) 0.5) (+ (/ NAN (* k (pow (pow (exp 0.5) (- (log (* PI -2.0)) (log (/ -1 n)))) k))) (/ (exp (* k (neg (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n))))))) NAN))) (pow (* PI (* 2.0 n)) 0.5) (pow (* PI (* 2.0 n)) 0.5) (pow (exp 0.5) (- (log (* PI -2.0)) (log (/ -1 n)))) 0.899 * * * [progress]: adding candidates to table 1.081 * * [progress]: iteration 3 / 4 1.081 * * * [progress]: picking best candidate 1.112 * * * * [pick]: Picked # 1.112 * * * [progress]: localizing error 1.135 * * * [progress]: generating rewritten candidates 1.135 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 2 1) 1.140 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1) 1.145 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 1.152 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.171 * * * [progress]: generating series expansions 1.171 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 2 1) 1.171 * [approximate]: Taking taylor expansion of (* (sqrt n) PI) in (n) around 0 1.171 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.171 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.171 * [taylor]: Taking taylor expansion of n in n 1.171 * [taylor]: Taking taylor expansion of PI in n 1.171 * [taylor]: Taking taylor expansion of (* (sqrt n) PI) in n 1.171 * [taylor]: Taking taylor expansion of (sqrt n) in n 1.171 * [taylor]: Taking taylor expansion of n in n 1.171 * [taylor]: Taking taylor expansion of PI in n 1.172 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in (n) around 0 1.172 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.172 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.172 * [taylor]: Taking taylor expansion of n in n 1.172 * [taylor]: Taking taylor expansion of PI in n 1.172 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 n)) PI) in n 1.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 n)) in n 1.172 * [taylor]: Taking taylor expansion of (/ 1 n) in n 1.173 * [taylor]: Taking taylor expansion of n in n 1.173 * [taylor]: Taking taylor expansion of PI in n 1.174 * [approximate]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in (n) around 0 1.174 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.174 * [taylor]: Taking taylor expansion of PI in n 1.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.174 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.174 * [taylor]: Taking taylor expansion of -1 in n 1.174 * [taylor]: Taking taylor expansion of n in n 1.174 * [taylor]: Taking taylor expansion of (* PI (sqrt (/ -1 n))) in n 1.174 * [taylor]: Taking taylor expansion of PI in n 1.174 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.174 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.174 * [taylor]: Taking taylor expansion of -1 in n 1.174 * [taylor]: Taking taylor expansion of n in n 1.175 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1) 1.175 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.175 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.175 * [taylor]: Taking taylor expansion of 2.0 in n 1.175 * [taylor]: Taking taylor expansion of (* n PI) in n 1.175 * [taylor]: Taking taylor expansion of n in n 1.175 * [taylor]: Taking taylor expansion of PI in n 1.175 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.175 * [taylor]: Taking taylor expansion of 2.0 in n 1.175 * [taylor]: Taking taylor expansion of (* n PI) in n 1.175 * [taylor]: Taking taylor expansion of n in n 1.175 * [taylor]: Taking taylor expansion of PI in n 1.176 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.176 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.176 * [taylor]: Taking taylor expansion of 2.0 in n 1.176 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.176 * [taylor]: Taking taylor expansion of PI in n 1.176 * [taylor]: Taking taylor expansion of n in n 1.176 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.176 * [taylor]: Taking taylor expansion of 2.0 in n 1.176 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.176 * [taylor]: Taking taylor expansion of PI in n 1.176 * [taylor]: Taking taylor expansion of n in n 1.177 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.177 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.177 * [taylor]: Taking taylor expansion of -2.0 in n 1.177 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.177 * [taylor]: Taking taylor expansion of PI in n 1.177 * [taylor]: Taking taylor expansion of n in n 1.177 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.177 * [taylor]: Taking taylor expansion of -2.0 in n 1.177 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.177 * [taylor]: Taking taylor expansion of PI in n 1.177 * [taylor]: Taking taylor expansion of n in n 1.178 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 1.178 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 1.178 * [taylor]: Taking taylor expansion of (* n PI) in n 1.178 * [taylor]: Taking taylor expansion of n in n 1.178 * [taylor]: Taking taylor expansion of PI in n 1.178 * [taylor]: Taking taylor expansion of (* n PI) in n 1.178 * [taylor]: Taking taylor expansion of n in n 1.178 * [taylor]: Taking taylor expansion of PI in n 1.179 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 1.179 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.179 * [taylor]: Taking taylor expansion of PI in n 1.179 * [taylor]: Taking taylor expansion of n in n 1.179 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.179 * [taylor]: Taking taylor expansion of PI in n 1.179 * [taylor]: Taking taylor expansion of n in n 1.180 * [approximate]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in (n) around 0 1.180 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.180 * [taylor]: Taking taylor expansion of PI in n 1.180 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.180 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.180 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.180 * [taylor]: Taking taylor expansion of -1 in n 1.180 * [taylor]: Taking taylor expansion of n in n 1.180 * [taylor]: Taking taylor expansion of (* PI (pow (sqrt (/ -1 n)) 2)) in n 1.180 * [taylor]: Taking taylor expansion of PI in n 1.180 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 2) in n 1.180 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.180 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.180 * [taylor]: Taking taylor expansion of -1 in n 1.180 * [taylor]: Taking taylor expansion of n in n 1.182 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.182 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (n k) around 0 1.182 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 1.182 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.182 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.182 * [taylor]: Taking taylor expansion of k in k 1.182 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.182 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.182 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.182 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.182 * [taylor]: Taking taylor expansion of 0.5 in k 1.182 * [taylor]: Taking taylor expansion of k in k 1.182 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.182 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.182 * [taylor]: Taking taylor expansion of 2.0 in k 1.182 * [taylor]: Taking taylor expansion of (* n PI) in k 1.182 * [taylor]: Taking taylor expansion of n in k 1.182 * [taylor]: Taking taylor expansion of PI in k 1.183 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.183 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.183 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.183 * [taylor]: Taking taylor expansion of 0.5 in k 1.183 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.183 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.183 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.183 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.183 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.183 * [taylor]: Taking taylor expansion of 1.0 in k 1.183 * [taylor]: Taking taylor expansion of (log PI) in k 1.183 * [taylor]: Taking taylor expansion of PI in k 1.183 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.183 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.183 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.183 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.183 * [taylor]: Taking taylor expansion of 1.0 in k 1.183 * [taylor]: Taking taylor expansion of (log n) in k 1.183 * [taylor]: Taking taylor expansion of n in k 1.183 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.183 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.183 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.183 * [taylor]: Taking taylor expansion of 1.0 in k 1.183 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.183 * [taylor]: Taking taylor expansion of 2.0 in k 1.184 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.184 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.184 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.184 * [taylor]: Taking taylor expansion of k in n 1.184 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.184 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.184 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.184 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.184 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.184 * [taylor]: Taking taylor expansion of 0.5 in n 1.184 * [taylor]: Taking taylor expansion of k in n 1.184 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.184 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.184 * [taylor]: Taking taylor expansion of 2.0 in n 1.184 * [taylor]: Taking taylor expansion of (* n PI) in n 1.184 * [taylor]: Taking taylor expansion of n in n 1.184 * [taylor]: Taking taylor expansion of PI in n 1.185 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.185 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.185 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.185 * [taylor]: Taking taylor expansion of 0.5 in n 1.185 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.185 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.185 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.185 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.185 * [taylor]: Taking taylor expansion of 1.0 in n 1.185 * [taylor]: Taking taylor expansion of (log PI) in n 1.185 * [taylor]: Taking taylor expansion of PI in n 1.185 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.185 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.185 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.185 * [taylor]: Taking taylor expansion of 1.0 in n 1.185 * [taylor]: Taking taylor expansion of (log n) in n 1.185 * [taylor]: Taking taylor expansion of n in n 1.185 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.185 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.185 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.185 * [taylor]: Taking taylor expansion of 1.0 in n 1.185 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.185 * [taylor]: Taking taylor expansion of 2.0 in n 1.186 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.186 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.186 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.186 * [taylor]: Taking taylor expansion of k in n 1.186 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.186 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.186 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.186 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.186 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.186 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.186 * [taylor]: Taking taylor expansion of 0.5 in n 1.186 * [taylor]: Taking taylor expansion of k in n 1.187 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.187 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.187 * [taylor]: Taking taylor expansion of 2.0 in n 1.187 * [taylor]: Taking taylor expansion of (* n PI) in n 1.187 * [taylor]: Taking taylor expansion of n in n 1.187 * [taylor]: Taking taylor expansion of PI in n 1.187 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.187 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.187 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.187 * [taylor]: Taking taylor expansion of 0.5 in n 1.187 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.187 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.187 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.187 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.187 * [taylor]: Taking taylor expansion of 1.0 in n 1.187 * [taylor]: Taking taylor expansion of (log PI) in n 1.187 * [taylor]: Taking taylor expansion of PI in n 1.187 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.187 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.187 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.187 * [taylor]: Taking taylor expansion of 1.0 in n 1.187 * [taylor]: Taking taylor expansion of (log n) in n 1.187 * [taylor]: Taking taylor expansion of n in n 1.188 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.188 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.188 * [taylor]: Taking taylor expansion of 1.0 in n 1.188 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.188 * [taylor]: Taking taylor expansion of 2.0 in n 1.189 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.189 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.189 * [taylor]: Taking taylor expansion of k in k 1.189 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.189 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.189 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.189 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.189 * [taylor]: Taking taylor expansion of 0.5 in k 1.189 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.189 * [taylor]: Taking taylor expansion of k in k 1.189 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.190 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.190 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.190 * [taylor]: Taking taylor expansion of 2.0 in k 1.190 * [taylor]: Taking taylor expansion of PI in k 1.190 * [taylor]: Taking taylor expansion of (log n) in k 1.190 * [taylor]: Taking taylor expansion of n in k 1.190 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.190 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.190 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.190 * [taylor]: Taking taylor expansion of 0.5 in k 1.190 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.190 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.190 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.190 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.190 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.190 * [taylor]: Taking taylor expansion of 1.0 in k 1.190 * [taylor]: Taking taylor expansion of (log PI) in k 1.190 * [taylor]: Taking taylor expansion of PI in k 1.190 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.190 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.190 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.190 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.190 * [taylor]: Taking taylor expansion of 1.0 in k 1.191 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.191 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.191 * [taylor]: Taking taylor expansion of 1.0 in k 1.191 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.191 * [taylor]: Taking taylor expansion of (log 1) in k 1.191 * [taylor]: Taking taylor expansion of 1 in k 1.191 * [taylor]: Taking taylor expansion of (log n) in k 1.191 * [taylor]: Taking taylor expansion of n in k 1.191 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.191 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.191 * [taylor]: Taking taylor expansion of 1.0 in k 1.191 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.191 * [taylor]: Taking taylor expansion of 2.0 in k 1.195 * [taylor]: Taking taylor expansion of 0 in k 1.203 * [taylor]: Taking taylor expansion of 0 in k 1.216 * [taylor]: Taking taylor expansion of 0 in k 1.237 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 1.237 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 1.237 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.237 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.237 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.237 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.237 * [taylor]: Taking taylor expansion of 0.5 in k 1.237 * [taylor]: Taking taylor expansion of k in k 1.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.237 * [taylor]: Taking taylor expansion of 2.0 in k 1.237 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.237 * [taylor]: Taking taylor expansion of PI in k 1.238 * [taylor]: Taking taylor expansion of n in k 1.238 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 1.238 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.238 * [taylor]: Taking taylor expansion of k in k 1.238 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.238 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.238 * [taylor]: Taking taylor expansion of 0.5 in k 1.238 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.238 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.238 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.238 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.238 * [taylor]: Taking taylor expansion of 1.0 in k 1.238 * [taylor]: Taking taylor expansion of (log PI) in k 1.238 * [taylor]: Taking taylor expansion of PI in k 1.238 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.238 * [taylor]: Taking taylor expansion of 1.0 in k 1.238 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.238 * [taylor]: Taking taylor expansion of 2.0 in k 1.238 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.238 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.238 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.238 * [taylor]: Taking taylor expansion of 1.0 in k 1.238 * [taylor]: Taking taylor expansion of (log n) in k 1.238 * [taylor]: Taking taylor expansion of n in k 1.239 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.239 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.239 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.239 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.239 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.239 * [taylor]: Taking taylor expansion of 0.5 in n 1.239 * [taylor]: Taking taylor expansion of k in n 1.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.239 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.239 * [taylor]: Taking taylor expansion of 2.0 in n 1.240 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.240 * [taylor]: Taking taylor expansion of PI in n 1.240 * [taylor]: Taking taylor expansion of n in n 1.240 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 1.240 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.240 * [taylor]: Taking taylor expansion of k in n 1.240 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.240 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.240 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.240 * [taylor]: Taking taylor expansion of 0.5 in n 1.240 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.240 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.240 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.240 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.240 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.240 * [taylor]: Taking taylor expansion of 1.0 in n 1.240 * [taylor]: Taking taylor expansion of (log PI) in n 1.240 * [taylor]: Taking taylor expansion of PI in n 1.240 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.240 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.240 * [taylor]: Taking taylor expansion of 1.0 in n 1.240 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.240 * [taylor]: Taking taylor expansion of 2.0 in n 1.240 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.240 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.240 * [taylor]: Taking taylor expansion of 1.0 in n 1.240 * [taylor]: Taking taylor expansion of (log n) in n 1.240 * [taylor]: Taking taylor expansion of n in n 1.241 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 1.241 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.241 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.242 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.242 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.242 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.242 * [taylor]: Taking taylor expansion of 0.5 in n 1.242 * [taylor]: Taking taylor expansion of k in n 1.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.242 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.242 * [taylor]: Taking taylor expansion of 2.0 in n 1.242 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.242 * [taylor]: Taking taylor expansion of PI in n 1.242 * [taylor]: Taking taylor expansion of n in n 1.242 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 1.242 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.242 * [taylor]: Taking taylor expansion of k in n 1.242 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.242 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.242 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.242 * [taylor]: Taking taylor expansion of 0.5 in n 1.242 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.242 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.242 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.242 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.242 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.242 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.242 * [taylor]: Taking taylor expansion of 1.0 in n 1.242 * [taylor]: Taking taylor expansion of (log PI) in n 1.242 * [taylor]: Taking taylor expansion of PI in n 1.242 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.242 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.242 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.242 * [taylor]: Taking taylor expansion of 1.0 in n 1.242 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.242 * [taylor]: Taking taylor expansion of 2.0 in n 1.243 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.243 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.243 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.243 * [taylor]: Taking taylor expansion of 1.0 in n 1.243 * [taylor]: Taking taylor expansion of (log n) in n 1.243 * [taylor]: Taking taylor expansion of n in n 1.244 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.244 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.244 * [taylor]: Taking taylor expansion of k in k 1.244 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.244 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.244 * [taylor]: Taking taylor expansion of 0.5 in k 1.244 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.244 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.244 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.244 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.245 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.245 * [taylor]: Taking taylor expansion of 1.0 in k 1.245 * [taylor]: Taking taylor expansion of (log PI) in k 1.245 * [taylor]: Taking taylor expansion of PI in k 1.245 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.245 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.245 * [taylor]: Taking taylor expansion of 1.0 in k 1.245 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.245 * [taylor]: Taking taylor expansion of 2.0 in k 1.245 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.245 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.245 * [taylor]: Taking taylor expansion of 1.0 in k 1.245 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.245 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.245 * [taylor]: Taking taylor expansion of 1.0 in k 1.245 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.245 * [taylor]: Taking taylor expansion of (log 1) in k 1.245 * [taylor]: Taking taylor expansion of 1 in k 1.245 * [taylor]: Taking taylor expansion of (log n) in k 1.245 * [taylor]: Taking taylor expansion of n in k 1.246 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.246 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.246 * [taylor]: Taking taylor expansion of 0.5 in k 1.246 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.246 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.246 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.246 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.246 * [taylor]: Taking taylor expansion of 2.0 in k 1.246 * [taylor]: Taking taylor expansion of PI in k 1.246 * [taylor]: Taking taylor expansion of (log n) in k 1.246 * [taylor]: Taking taylor expansion of n in k 1.246 * [taylor]: Taking taylor expansion of k in k 1.250 * [taylor]: Taking taylor expansion of 0 in k 1.259 * [taylor]: Taking taylor expansion of 0 in k 1.270 * [taylor]: Taking taylor expansion of 0 in k 1.278 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in (n k) around 0 1.278 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in k 1.279 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.279 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.279 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.279 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.279 * [taylor]: Taking taylor expansion of -1 in k 1.279 * [taylor]: Taking taylor expansion of k in k 1.279 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.279 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.279 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.279 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.279 * [taylor]: Taking taylor expansion of -0.5 in k 1.279 * [taylor]: Taking taylor expansion of k in k 1.279 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.279 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.279 * [taylor]: Taking taylor expansion of -2.0 in k 1.279 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.279 * [taylor]: Taking taylor expansion of PI in k 1.279 * [taylor]: Taking taylor expansion of n in k 1.279 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in k 1.279 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 1.279 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 1.279 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 1.279 * [taylor]: Taking taylor expansion of 0.5 in k 1.279 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 1.279 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.279 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.279 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.279 * [taylor]: Taking taylor expansion of 1.0 in k 1.279 * [taylor]: Taking taylor expansion of (log PI) in k 1.280 * [taylor]: Taking taylor expansion of PI in k 1.280 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.280 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.280 * [taylor]: Taking taylor expansion of 1.0 in k 1.280 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.280 * [taylor]: Taking taylor expansion of 2.0 in k 1.280 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in k 1.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in k 1.280 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in k 1.280 * [taylor]: Taking taylor expansion of 1.0 in k 1.280 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in k 1.280 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in k 1.280 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in k 1.280 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in k 1.280 * [taylor]: Taking taylor expansion of 1.0 in k 1.280 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in k 1.280 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in k 1.280 * [taylor]: Taking taylor expansion of (/ -1 n) in k 1.280 * [taylor]: Taking taylor expansion of -1 in k 1.280 * [taylor]: Taking taylor expansion of n in k 1.281 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 1.281 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.281 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.281 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.281 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.281 * [taylor]: Taking taylor expansion of -1 in n 1.281 * [taylor]: Taking taylor expansion of k in n 1.281 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.281 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.281 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.281 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.281 * [taylor]: Taking taylor expansion of -0.5 in n 1.281 * [taylor]: Taking taylor expansion of k in n 1.281 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.281 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.281 * [taylor]: Taking taylor expansion of -2.0 in n 1.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.281 * [taylor]: Taking taylor expansion of PI in n 1.281 * [taylor]: Taking taylor expansion of n in n 1.282 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 1.282 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 1.282 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 1.282 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 1.282 * [taylor]: Taking taylor expansion of 0.5 in n 1.282 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 1.282 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.282 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.282 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.282 * [taylor]: Taking taylor expansion of 1.0 in n 1.282 * [taylor]: Taking taylor expansion of (log PI) in n 1.282 * [taylor]: Taking taylor expansion of PI in n 1.282 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.282 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.282 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.282 * [taylor]: Taking taylor expansion of 1.0 in n 1.282 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.282 * [taylor]: Taking taylor expansion of 2.0 in n 1.283 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 1.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 1.283 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 1.283 * [taylor]: Taking taylor expansion of 1.0 in n 1.283 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 1.283 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 1.283 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 1.283 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 1.283 * [taylor]: Taking taylor expansion of 1.0 in n 1.283 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 1.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.283 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.283 * [taylor]: Taking taylor expansion of -1 in n 1.283 * [taylor]: Taking taylor expansion of n in n 1.283 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0))) in n 1.283 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.283 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.283 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.283 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.283 * [taylor]: Taking taylor expansion of -1 in n 1.283 * [taylor]: Taking taylor expansion of k in n 1.283 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.283 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.283 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.284 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.284 * [taylor]: Taking taylor expansion of -0.5 in n 1.284 * [taylor]: Taking taylor expansion of k in n 1.284 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.284 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.284 * [taylor]: Taking taylor expansion of -2.0 in n 1.284 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.284 * [taylor]: Taking taylor expansion of PI in n 1.284 * [taylor]: Taking taylor expansion of n in n 1.284 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (pow (sqrt (/ -1 n)) 1.0) 1.0)) in n 1.284 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in n 1.284 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in n 1.284 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in n 1.284 * [taylor]: Taking taylor expansion of 0.5 in n 1.284 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in n 1.284 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.284 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.284 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.284 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.284 * [taylor]: Taking taylor expansion of 1.0 in n 1.284 * [taylor]: Taking taylor expansion of (log PI) in n 1.284 * [taylor]: Taking taylor expansion of PI in n 1.284 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.284 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.284 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.284 * [taylor]: Taking taylor expansion of 1.0 in n 1.284 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.284 * [taylor]: Taking taylor expansion of 2.0 in n 1.285 * [taylor]: Taking taylor expansion of (pow (pow (sqrt (/ -1 n)) 1.0) 1.0) in n 1.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0)))) in n 1.285 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow (sqrt (/ -1 n)) 1.0))) in n 1.285 * [taylor]: Taking taylor expansion of 1.0 in n 1.285 * [taylor]: Taking taylor expansion of (log (pow (sqrt (/ -1 n)) 1.0)) in n 1.285 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 n)) 1.0) in n 1.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (sqrt (/ -1 n))))) in n 1.285 * [taylor]: Taking taylor expansion of (* 1.0 (log (sqrt (/ -1 n)))) in n 1.285 * [taylor]: Taking taylor expansion of 1.0 in n 1.285 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 n))) in n 1.285 * [taylor]: Taking taylor expansion of (sqrt (/ -1 n)) in n 1.285 * [taylor]: Taking taylor expansion of (/ -1 n) in n 1.285 * [taylor]: Taking taylor expansion of -1 in n 1.285 * [taylor]: Taking taylor expansion of n in n 1.286 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (* (pow (pow NAN 1.0) 1.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))) in k 1.286 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.286 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.286 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.286 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.286 * [taylor]: Taking taylor expansion of -0.5 in k 1.286 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.286 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.286 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.286 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.286 * [taylor]: Taking taylor expansion of -2.0 in k 1.286 * [taylor]: Taking taylor expansion of PI in k 1.286 * [taylor]: Taking taylor expansion of (log n) in k 1.286 * [taylor]: Taking taylor expansion of n in k 1.286 * [taylor]: Taking taylor expansion of k in k 1.287 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.287 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.287 * [taylor]: Taking taylor expansion of -1 in k 1.287 * [taylor]: Taking taylor expansion of k in k 1.287 * [taylor]: Taking taylor expansion of (* (pow (pow NAN 1.0) 1.0) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)) in k 1.287 * [taylor]: Taking taylor expansion of (pow (pow NAN 1.0) 1.0) in k 1.287 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (pow NAN 1.0)))) in k 1.287 * [taylor]: Taking taylor expansion of (* 1.0 (log (pow NAN 1.0))) in k 1.287 * [taylor]: Taking taylor expansion of 1.0 in k 1.287 * [taylor]: Taking taylor expansion of (log (pow NAN 1.0)) in k 1.287 * [taylor]: Taking taylor expansion of (pow NAN 1.0) in k 1.287 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log NAN))) in k 1.287 * [taylor]: Taking taylor expansion of (* 1.0 (log NAN)) in k 1.287 * [taylor]: Taking taylor expansion of 1.0 in k 1.287 * [taylor]: Taking taylor expansion of (log NAN) in k 1.287 * [taylor]: Taking taylor expansion of NAN in k 1.287 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5) in k 1.287 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0))))) in k 1.288 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (pow PI 1.0)))) in k 1.288 * [taylor]: Taking taylor expansion of 0.5 in k 1.288 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (pow PI 1.0))) in k 1.288 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.288 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.288 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.288 * [taylor]: Taking taylor expansion of 1.0 in k 1.288 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.288 * [taylor]: Taking taylor expansion of 2.0 in k 1.288 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.288 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.288 * [taylor]: Taking taylor expansion of 1.0 in k 1.288 * [taylor]: Taking taylor expansion of (log PI) in k 1.288 * [taylor]: Taking taylor expansion of PI in k 1.293 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow NAN 3) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))))) in k 1.293 * [taylor]: Taking taylor expansion of 1.0 in k 1.293 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (/ (pow NAN 3) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k 1.293 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) in k 1.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0))))) in k 1.293 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (pow 2.0 1.0)))) in k 1.293 * [taylor]: Taking taylor expansion of 0.5 in k 1.293 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (pow 2.0 1.0))) in k 1.293 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.294 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.294 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.294 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.294 * [taylor]: Taking taylor expansion of 1.0 in k 1.294 * [taylor]: Taking taylor expansion of (log PI) in k 1.294 * [taylor]: Taking taylor expansion of PI in k 1.294 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.294 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.294 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.294 * [taylor]: Taking taylor expansion of 1.0 in k 1.294 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.294 * [taylor]: Taking taylor expansion of 2.0 in k 1.294 * [taylor]: Taking taylor expansion of (/ (pow NAN 3) (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.294 * [taylor]: Taking taylor expansion of (pow NAN 3) in k 1.294 * [taylor]: Taking taylor expansion of NAN in k 1.294 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.294 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.294 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.295 * [taylor]: Taking taylor expansion of -0.5 in k 1.295 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.295 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.295 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.295 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.295 * [taylor]: Taking taylor expansion of -2.0 in k 1.295 * [taylor]: Taking taylor expansion of PI in k 1.295 * [taylor]: Taking taylor expansion of (log n) in k 1.295 * [taylor]: Taking taylor expansion of n in k 1.295 * [taylor]: Taking taylor expansion of k in k 1.295 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.295 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.295 * [taylor]: Taking taylor expansion of -1 in k 1.295 * [taylor]: Taking taylor expansion of k in k 1.301 * * * [progress]: simplifying candidates 1.303 * [simplify]: Simplifying using # : (* PI (sqrt n)) (+ (log PI) (log (sqrt n))) (log (* PI (sqrt n))) (exp (* PI (sqrt n))) (* (* (* PI PI) PI) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* PI (sqrt n))) (cbrt (* PI (sqrt n)))) (cbrt (* PI (sqrt n))) (* (* (* PI (sqrt n)) (* PI (sqrt n))) (* PI (sqrt n))) (sqrt (* PI (sqrt n))) (sqrt (* PI (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* PI (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* PI (sqrt (* (cbrt n) (cbrt n)))) (* PI (sqrt (sqrt n))) (* PI (sqrt 1)) (* PI (sqrt (sqrt n))) (* PI 1) (* (cbrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* PI (sqrt n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (log PI) (+ (log 2.0) (log n))) (+ (log PI) (log (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* PI (* 2.0 n))) (* (* (* PI PI) PI) (* (* (* 2.0 2.0) 2.0) (* (* n n) n))) (* (* (* PI PI) PI) (* (* (* 2.0 n) (* 2.0 n)) (* 2.0 n))) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (* (* (* PI (* 2.0 n)) (* PI (* 2.0 n))) (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* (cbrt PI) (* 2.0 n)) (* (sqrt PI) (* 2.0 n)) (* PI (* 2.0 n)) (* (* PI (sqrt n)) (sqrt n)) (* (* PI (sqrt n)) (sqrt n)) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n))) (+ (log (* PI (sqrt n))) (log (sqrt n))) (log (* (* PI (sqrt n)) (sqrt n))) (exp (* (* PI (sqrt n)) (sqrt n))) (* (* (* (* PI PI) PI) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (* (* (* PI (sqrt n)) (* PI (sqrt n))) (* PI (sqrt n))) (* (* (sqrt n) (sqrt n)) (sqrt n))) (* (cbrt (* (* PI (sqrt n)) (sqrt n))) (cbrt (* (* PI (sqrt n)) (sqrt n)))) (cbrt (* (* PI (sqrt n)) (sqrt n))) (* (* (* (* PI (sqrt n)) (sqrt n)) (* (* PI (sqrt n)) (sqrt n))) (* (* PI (sqrt n)) (sqrt n))) (sqrt (* (* PI (sqrt n)) (sqrt n))) (sqrt (* (* PI (sqrt n)) (sqrt n))) (* (* PI (sqrt n)) (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* (* PI (sqrt n)) (sqrt (* (cbrt n) (cbrt n)))) (* (* PI (sqrt n)) (sqrt (sqrt n))) (* (* PI (sqrt n)) (sqrt 1)) (* (* PI (sqrt n)) (sqrt (sqrt n))) (* (* PI (sqrt n)) 1) (* (sqrt n) (sqrt n)) (- (* (+ (log 2.0) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (+ (log PI) (log (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (- (* (+ (log 2.0) (+ (log (* PI (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log (* PI (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log (* PI (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log (* PI (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log (* PI (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (* (+ (log 2.0) (+ (log (* PI (sqrt n))) (log (sqrt n)))) (/ 1.0 2.0)) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (- (* (+ (log 2.0) (log (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (* (+ (log 2.0) (log (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (+ (* (+ 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(* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (+ (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (* (log (* 2.0 (* (* PI (sqrt n)) (sqrt n)))) (/ 1.0 2.0)) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (- (log (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (sqrt k)))) (- (log (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (log (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (log (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (* (log (* PI (* 2.0 n))) (/ k 2.0)) (log (sqrt k)))) (- (log (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (+ (log (pow (* PI (* 2.0 n)) (/ k 2.0))) (log (sqrt k)))) (- (log (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (log (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (log (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (exp (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (/ (* (* (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (* (* (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (/ (* (* (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (* (* (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (* (cbrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (cbrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))))) (cbrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (* (* (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (sqrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (sqrt (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)))) (neg (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (neg (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))) (/ (pow 2.0 (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* (* PI (sqrt n)) (sqrt n)) (/ 1.0 2.0)) (sqrt k)) (/ (* (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (sqrt k)) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (sqrt k)) (/ 1 (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (sqrt k)) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ 1.0 2.0) 2)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ 1.0 2.0) 2)) (sqrt k)) (/ 1 (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (/ (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (pow (* (* PI (sqrt n)) (sqrt n)) (/ 1.0 2.0))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (cbrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (sqrt (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0)))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ 1.0 2.0))) (/ (* (pow (* PI (* 2.0 n)) (/ k 2.0)) (sqrt k)) (pow (* 2.0 (* (* PI (sqrt n)) (sqrt n))) (/ (/ 1.0 2.0) 2))) (+ (* (pow NAN 3) (* (pow n 2) PI)) (+ (* NAN (* n PI)) (* (pow NAN 5) (* (pow n 3) PI)))) (+ (/ (* (pow NAN 5) PI) (pow n 2)) (+ (/ (* (pow NAN 3) PI) n) (* NAN PI))) (- (+ (/ (* (pow NAN 5) PI) (pow n 2)) (* NAN PI)) (/ (* (pow NAN 3) PI) n)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* n PI) (* n PI) (- (+ (* (pow NAN 2) PI) (* 3 (/ (* (pow NAN 6) PI) (pow n 2)))) (* 2 (/ (* (pow NAN 4) PI) n))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* (* (pow k 2) (pow NAN 5)) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) (+ (* (* k (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5)) (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.5 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))) (+ (* 0.5 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.5 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (+ (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)) (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5)))) (- (+ (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (* (/ (pow NAN 2) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (* 1.0 (* (/ (pow NAN 2) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) n)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))) 1.332 * * [simplify]: iteration 0 : 5138 enodes (cost 2058 ) 1.338 * [simplify]: Simplified to: (* PI (sqrt n)) (log (* PI (sqrt n))) (log (* PI (sqrt n))) (pow (exp PI) (sqrt n)) (pow (* PI (sqrt n)) 3) (* (cbrt (* PI (sqrt n))) (cbrt (* PI (sqrt n)))) (cbrt (* PI (sqrt n))) (pow (* PI (sqrt n)) 3) (sqrt (* PI (sqrt n))) (sqrt (* PI (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* (sqrt PI) (sqrt (sqrt n))) (* PI (* (cbrt (sqrt n)) (cbrt (sqrt n)))) (* PI (fabs (cbrt n))) (* PI (sqrt (sqrt n))) PI (* PI (sqrt (sqrt n))) PI (* (sqrt n) (cbrt PI)) (* (sqrt n) (sqrt PI)) (* PI (sqrt n)) (* PI (* n 2.0)) (* PI (* n 2.0)) (log (* PI (* n 2.0))) (log (* PI (* n 2.0))) (log (* PI (* n 2.0))) (pow (pow (exp PI) n) 2.0) (pow (* PI (* n 2.0)) 3) (pow (* PI (* n 2.0)) 3) (* (cbrt (* PI (* n 2.0))) (cbrt (* PI (* n 2.0)))) (cbrt (* PI (* n 2.0))) (pow (* PI (* n 2.0)) 3) (sqrt (* PI (* n 2.0))) (sqrt (* PI (* n 2.0))) (* PI 2.0) (* n (* (cbrt PI) 2.0)) (* n (* (sqrt PI) 2.0)) (* PI (* n 2.0)) (* PI n) (* PI n) (log (* PI n)) (log (* PI n)) (log (* PI n)) (pow (exp PI) n) (pow (* PI n) 3) (pow (* PI n) 3) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (pow (* PI n) 3) (sqrt (* PI n)) (sqrt (* PI n)) (* PI (* (sqrt n) (* (cbrt (sqrt n)) (cbrt (sqrt n))))) (* PI (* (sqrt n) (fabs (cbrt n)))) (* PI (* (sqrt n) (sqrt (sqrt n)))) (* PI (sqrt n)) (* PI (* (sqrt n) (sqrt (sqrt n)))) (* PI (sqrt n)) n (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (- (* (log (* PI (* n 2.0))) (- (/ 1.0 2.0) (/ k 2.0))) (log (sqrt k))) (exp (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0))))) (pow (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0)))) 3) (pow (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0)))) 3) (* (cbrt (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0))))) (cbrt (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0)))))) (cbrt (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0))))) (pow (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0)))) 3) (sqrt (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0))))) (sqrt (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0))))) (neg (pow (* PI (* n 2.0)) (/ 1.0 2.0))) (* (sqrt k) (neg (pow (* PI (* n 2.0)) (/ k 2.0)))) (/ (pow 2.0 (/ 1.0 2.0)) (pow (* PI (* n 2.0)) (/ k 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (sqrt k)) (* (/ (cbrt (pow (* PI (* n 2.0)) (/ 1.0 2.0))) (pow (* PI (* n 2.0)) (/ k 2.0))) (cbrt (pow (* PI (* n 2.0)) (/ 1.0 2.0)))) (/ (cbrt (pow (* PI (* n 2.0)) (/ 1.0 2.0))) (sqrt k)) (/ (sqrt (pow (* PI (* n 2.0)) (/ 1.0 2.0))) (pow (* PI (* n 2.0)) (/ k 2.0))) (/ (sqrt (pow (* PI (* n 2.0)) (/ 1.0 2.0))) (sqrt k)) (/ 1 (pow (* PI (* n 2.0)) (/ k 2.0))) (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (sqrt k)) (/ (pow (* PI (* n 2.0)) (/ 1.0 (* 2.0 2))) (pow (* PI (* n 2.0)) (/ k 2.0))) (/ (pow (* PI (* n 2.0)) (/ 1.0 (* 2.0 2))) (sqrt k)) (/ 1 (* (sqrt k) (pow (* PI (* n 2.0)) (/ k 2.0)))) (* (/ (pow (* PI (* n 2.0)) (/ k 2.0)) (pow (* PI (* n 2.0)) (/ 1.0 2.0))) (sqrt k)) (/ (pow (* PI (* n 2.0)) (/ 1.0 2.0)) (pow (* PI (* n 2.0)) (/ k 2.0))) (* (/ (pow (* PI (* n 2.0)) (/ k 2.0)) (pow (* PI n) (/ 1.0 2.0))) (sqrt k)) (* (/ (pow (* PI (* n 2.0)) (/ k 2.0)) (cbrt (pow (* PI (* n 2.0)) (/ 1.0 2.0)))) (sqrt k)) (* (/ (pow (* PI (* n 2.0)) (/ k 2.0)) (sqrt (pow (* PI (* n 2.0)) (/ 1.0 2.0)))) (sqrt k)) (* (/ (pow (* PI (* n 2.0)) (/ k 2.0)) (pow (* PI (* n 2.0)) (/ 1.0 2.0))) (sqrt k)) (* (/ (pow (* PI (* n 2.0)) (/ k 2.0)) (pow (* PI (* n 2.0)) (/ 1.0 (* 2.0 2)))) (sqrt k)) (+ (* PI (* (* n n) (pow NAN 3))) (* PI (+ (* n NAN) (* (pow n 3) (pow NAN 5))))) (+ (* (/ PI n) (/ (pow NAN 5) n)) (+ (* (/ (pow NAN 3) n) PI) (* PI NAN))) (+ (* (/ PI n) (/ (pow NAN 5) n)) (- (* PI NAN) (* (/ (pow NAN 3) n) PI))) (* PI (* n 2.0)) (* PI (* n 2.0)) (* PI (* n 2.0)) (* PI n) (* PI n) (+ (* PI (* NAN NAN)) (+ (* 3 (* (/ PI n) (/ (pow NAN 6) n))) (* (* (/ (pow NAN 4) n) PI) -2))) (+ (* 0.125 (* k (* k (* NAN (* (pow (log (* PI 2.0)) 2) (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))))) (+ (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.125 (* k (* k (* NAN (pow (log n) 2))))) (* k (* k (pow NAN 5))))) (- (+ (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (* (* NAN (* (log n) (* k (* k (log (* PI 2.0)))))) 0.25)) (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (pow NAN 3)) NAN))) (+ (* 0.5 (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* NAN (log (* PI 2.0)))) (* (log n) (* k (* k (pow NAN 3))))))) (* (pow (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (log n) (* k NAN))) (* 0.5 (* k (* k (* (pow NAN 3) (log (* PI 2.0)))))))))))) (+ (* (/ (pow NAN 5) (* (pow k 3) (pow (* PI (* n 2.0)) (* k 0.5)))) (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5)) (* (pow (* (/ (pow PI 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow 2.0 1.0)) 0.5) (+ (/ (pow NAN 3) (* k (* k (pow (* PI (* n 2.0)) (* k 0.5))))) (/ NAN (* k (pow (* PI (* n 2.0)) (* k 0.5))))))) (+ (/ (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n)))))) (* (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (* (/ NAN k) (/ NAN (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n))))))) (* 1.0 (* (/ NAN (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n)))))) (/ NAN n)))))) 1.339 * * * [progress]: adding candidates to table 1.503 * * [progress]: iteration 4 / 4 1.503 * * * [progress]: picking best candidate 1.536 * * * * [pick]: Picked # 1.536 * * * [progress]: localizing error 1.556 * * * [progress]: generating rewritten candidates 1.556 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 2 1) 1.561 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 1) 1.566 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.580 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 1.613 * * * [progress]: generating series expansions 1.613 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 2 1) 1.613 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.613 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.613 * [taylor]: Taking taylor expansion of 2.0 in n 1.613 * [taylor]: Taking taylor expansion of (* n PI) in n 1.613 * [taylor]: Taking taylor expansion of n in n 1.613 * [taylor]: Taking taylor expansion of PI in n 1.613 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.613 * [taylor]: Taking taylor expansion of 2.0 in n 1.613 * [taylor]: Taking taylor expansion of (* n PI) in n 1.613 * [taylor]: Taking taylor expansion of n in n 1.613 * [taylor]: Taking taylor expansion of PI in n 1.614 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.614 * [taylor]: Taking taylor expansion of 2.0 in n 1.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.614 * [taylor]: Taking taylor expansion of PI in n 1.614 * [taylor]: Taking taylor expansion of n in n 1.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.614 * [taylor]: Taking taylor expansion of 2.0 in n 1.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.614 * [taylor]: Taking taylor expansion of PI in n 1.614 * [taylor]: Taking taylor expansion of n in n 1.615 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.615 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.615 * [taylor]: Taking taylor expansion of -2.0 in n 1.615 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.615 * [taylor]: Taking taylor expansion of PI in n 1.615 * [taylor]: Taking taylor expansion of n in n 1.615 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.615 * [taylor]: Taking taylor expansion of -2.0 in n 1.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.616 * [taylor]: Taking taylor expansion of PI in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.616 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 1) 1.616 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.616 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.616 * [taylor]: Taking taylor expansion of 2.0 in n 1.616 * [taylor]: Taking taylor expansion of (* n PI) in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.617 * [taylor]: Taking taylor expansion of PI in n 1.617 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.617 * [taylor]: Taking taylor expansion of 2.0 in n 1.617 * [taylor]: Taking taylor expansion of (* n PI) in n 1.617 * [taylor]: Taking taylor expansion of n in n 1.617 * [taylor]: Taking taylor expansion of PI in n 1.617 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.617 * [taylor]: Taking taylor expansion of 2.0 in n 1.617 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.618 * [taylor]: Taking taylor expansion of PI in n 1.618 * [taylor]: Taking taylor expansion of n in n 1.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.618 * [taylor]: Taking taylor expansion of 2.0 in n 1.618 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.618 * [taylor]: Taking taylor expansion of PI in n 1.618 * [taylor]: Taking taylor expansion of n in n 1.618 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.618 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.618 * [taylor]: Taking taylor expansion of -2.0 in n 1.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.619 * [taylor]: Taking taylor expansion of PI in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.619 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.619 * [taylor]: Taking taylor expansion of -2.0 in n 1.619 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.619 * [taylor]: Taking taylor expansion of PI in n 1.619 * [taylor]: Taking taylor expansion of n in n 1.619 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.620 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (n k) around 0 1.620 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 1.620 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.620 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.620 * [taylor]: Taking taylor expansion of k in k 1.620 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 1.620 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.620 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.620 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.620 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.620 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.620 * [taylor]: Taking taylor expansion of 0.5 in k 1.620 * [taylor]: Taking taylor expansion of k in k 1.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.620 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.620 * [taylor]: Taking taylor expansion of 2.0 in k 1.620 * [taylor]: Taking taylor expansion of (* n PI) in k 1.620 * [taylor]: Taking taylor expansion of n in k 1.620 * [taylor]: Taking taylor expansion of PI in k 1.621 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.621 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.621 * [taylor]: Taking taylor expansion of 0.5 in k 1.621 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.621 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.621 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.621 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.621 * [taylor]: Taking taylor expansion of 1.0 in k 1.621 * [taylor]: Taking taylor expansion of (log PI) in k 1.621 * [taylor]: Taking taylor expansion of PI in k 1.621 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.621 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.621 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.621 * [taylor]: Taking taylor expansion of 1.0 in k 1.621 * [taylor]: Taking taylor expansion of (log n) in k 1.621 * [taylor]: Taking taylor expansion of n in k 1.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.621 * [taylor]: Taking taylor expansion of 1.0 in k 1.621 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.621 * [taylor]: Taking taylor expansion of 2.0 in k 1.622 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.622 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.622 * [taylor]: Taking taylor expansion of k in n 1.622 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.622 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.622 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.622 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.622 * [taylor]: Taking taylor expansion of 0.5 in n 1.622 * [taylor]: Taking taylor expansion of k in n 1.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.622 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.622 * [taylor]: Taking taylor expansion of 2.0 in n 1.622 * [taylor]: Taking taylor expansion of (* n PI) in n 1.622 * [taylor]: Taking taylor expansion of n in n 1.622 * [taylor]: Taking taylor expansion of PI in n 1.623 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.623 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.623 * [taylor]: Taking taylor expansion of 0.5 in n 1.623 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.623 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.623 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.623 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [taylor]: Taking taylor expansion of (log PI) in n 1.623 * [taylor]: Taking taylor expansion of PI in n 1.623 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.623 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.623 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [taylor]: Taking taylor expansion of (log n) in n 1.623 * [taylor]: Taking taylor expansion of n in n 1.623 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.623 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.623 * [taylor]: Taking taylor expansion of 2.0 in n 1.624 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 1.624 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.624 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.624 * [taylor]: Taking taylor expansion of k in n 1.624 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 1.624 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.624 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.624 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.625 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.625 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.625 * [taylor]: Taking taylor expansion of 0.5 in n 1.625 * [taylor]: Taking taylor expansion of k in n 1.625 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.625 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.625 * [taylor]: Taking taylor expansion of 2.0 in n 1.625 * [taylor]: Taking taylor expansion of (* n PI) in n 1.625 * [taylor]: Taking taylor expansion of n in n 1.625 * [taylor]: Taking taylor expansion of PI in n 1.625 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.625 * [taylor]: Taking taylor expansion of 0.5 in n 1.625 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.625 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.625 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.625 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.625 * [taylor]: Taking taylor expansion of 1.0 in n 1.625 * [taylor]: Taking taylor expansion of (log PI) in n 1.625 * [taylor]: Taking taylor expansion of PI in n 1.625 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.625 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.625 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.625 * [taylor]: Taking taylor expansion of 1.0 in n 1.625 * [taylor]: Taking taylor expansion of (log n) in n 1.625 * [taylor]: Taking taylor expansion of n in n 1.626 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.626 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.626 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.626 * [taylor]: Taking taylor expansion of 1.0 in n 1.626 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.626 * [taylor]: Taking taylor expansion of 2.0 in n 1.627 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.627 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.627 * [taylor]: Taking taylor expansion of k in k 1.627 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.627 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.627 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.627 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.627 * [taylor]: Taking taylor expansion of 0.5 in k 1.627 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.627 * [taylor]: Taking taylor expansion of k in k 1.627 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.628 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.628 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.628 * [taylor]: Taking taylor expansion of 2.0 in k 1.628 * [taylor]: Taking taylor expansion of PI in k 1.628 * [taylor]: Taking taylor expansion of (log n) in k 1.628 * [taylor]: Taking taylor expansion of n in k 1.628 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.628 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.628 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.628 * [taylor]: Taking taylor expansion of 0.5 in k 1.628 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.628 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.628 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.628 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.628 * [taylor]: Taking taylor expansion of 1.0 in k 1.628 * [taylor]: Taking taylor expansion of (log PI) in k 1.628 * [taylor]: Taking taylor expansion of PI in k 1.628 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.628 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.628 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.628 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.629 * [taylor]: Taking taylor expansion of 1.0 in k 1.629 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.629 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.629 * [taylor]: Taking taylor expansion of 1.0 in k 1.629 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.629 * [taylor]: Taking taylor expansion of (log 1) in k 1.629 * [taylor]: Taking taylor expansion of 1 in k 1.629 * [taylor]: Taking taylor expansion of (log n) in k 1.629 * [taylor]: Taking taylor expansion of n in k 1.629 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.629 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.629 * [taylor]: Taking taylor expansion of 1.0 in k 1.629 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.629 * [taylor]: Taking taylor expansion of 2.0 in k 1.634 * [taylor]: Taking taylor expansion of 0 in k 1.641 * [taylor]: Taking taylor expansion of 0 in k 1.655 * [taylor]: Taking taylor expansion of 0 in k 1.676 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 1.676 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.676 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.676 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.676 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.676 * [taylor]: Taking taylor expansion of 0.5 in k 1.676 * [taylor]: Taking taylor expansion of k in k 1.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.676 * [taylor]: Taking taylor expansion of 2.0 in k 1.676 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.676 * [taylor]: Taking taylor expansion of PI in k 1.676 * [taylor]: Taking taylor expansion of n in k 1.676 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 1.676 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.676 * [taylor]: Taking taylor expansion of k in k 1.676 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.676 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.676 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.676 * [taylor]: Taking taylor expansion of 0.5 in k 1.676 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.676 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.676 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.676 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.676 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.676 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.676 * [taylor]: Taking taylor expansion of 1.0 in k 1.676 * [taylor]: Taking taylor expansion of (log PI) in k 1.676 * [taylor]: Taking taylor expansion of PI in k 1.677 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.677 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.677 * [taylor]: Taking taylor expansion of 1.0 in k 1.677 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.677 * [taylor]: Taking taylor expansion of 2.0 in k 1.677 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.677 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.677 * [taylor]: Taking taylor expansion of 1.0 in k 1.677 * [taylor]: Taking taylor expansion of (log n) in k 1.677 * [taylor]: Taking taylor expansion of n in k 1.678 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.678 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.678 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.678 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.678 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.678 * [taylor]: Taking taylor expansion of 0.5 in n 1.678 * [taylor]: Taking taylor expansion of k in n 1.678 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.678 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of 2.0 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 1.678 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.678 * [taylor]: Taking taylor expansion of k in n 1.678 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.678 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.678 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.678 * [taylor]: Taking taylor expansion of 0.5 in n 1.678 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.678 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.678 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.678 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.678 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.678 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.678 * [taylor]: Taking taylor expansion of 1.0 in n 1.678 * [taylor]: Taking taylor expansion of (log PI) in n 1.679 * [taylor]: Taking taylor expansion of PI in n 1.679 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.679 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.679 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.679 * [taylor]: Taking taylor expansion of 1.0 in n 1.679 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.679 * [taylor]: Taking taylor expansion of 2.0 in n 1.679 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.679 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.679 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.679 * [taylor]: Taking taylor expansion of 1.0 in n 1.679 * [taylor]: Taking taylor expansion of (log n) in n 1.679 * [taylor]: Taking taylor expansion of n in n 1.680 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 1.680 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.680 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.680 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.680 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.680 * [taylor]: Taking taylor expansion of 0.5 in n 1.680 * [taylor]: Taking taylor expansion of k in n 1.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.680 * [taylor]: Taking taylor expansion of 2.0 in n 1.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.680 * [taylor]: Taking taylor expansion of PI in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.680 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 1.680 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.680 * [taylor]: Taking taylor expansion of k in n 1.680 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.680 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.680 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.681 * [taylor]: Taking taylor expansion of 0.5 in n 1.681 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.681 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.681 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.681 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.681 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.681 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.681 * [taylor]: Taking taylor expansion of 1.0 in n 1.681 * [taylor]: Taking taylor expansion of (log PI) in n 1.681 * [taylor]: Taking taylor expansion of PI in n 1.681 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.681 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.681 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.681 * [taylor]: Taking taylor expansion of 1.0 in n 1.681 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.681 * [taylor]: Taking taylor expansion of 2.0 in n 1.681 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.681 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.681 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.681 * [taylor]: Taking taylor expansion of 1.0 in n 1.681 * [taylor]: Taking taylor expansion of (log n) in n 1.681 * [taylor]: Taking taylor expansion of n in n 1.683 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.683 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.683 * [taylor]: Taking taylor expansion of k in k 1.683 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.683 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.683 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.683 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.683 * [taylor]: Taking taylor expansion of 0.5 in k 1.683 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.683 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.683 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.683 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.683 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.683 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.683 * [taylor]: Taking taylor expansion of 1.0 in k 1.683 * [taylor]: Taking taylor expansion of (log PI) in k 1.683 * [taylor]: Taking taylor expansion of PI in k 1.683 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.683 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.683 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.683 * [taylor]: Taking taylor expansion of 1.0 in k 1.683 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.683 * [taylor]: Taking taylor expansion of 2.0 in k 1.683 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.683 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.683 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.683 * [taylor]: Taking taylor expansion of 1.0 in k 1.683 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.683 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.683 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.683 * [taylor]: Taking taylor expansion of 1.0 in k 1.683 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.683 * [taylor]: Taking taylor expansion of (log 1) in k 1.683 * [taylor]: Taking taylor expansion of 1 in k 1.683 * [taylor]: Taking taylor expansion of (log n) in k 1.684 * [taylor]: Taking taylor expansion of n in k 1.685 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.685 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.685 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.685 * [taylor]: Taking taylor expansion of 0.5 in k 1.685 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.685 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.685 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.685 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.685 * [taylor]: Taking taylor expansion of 2.0 in k 1.685 * [taylor]: Taking taylor expansion of PI in k 1.685 * [taylor]: Taking taylor expansion of (log n) in k 1.685 * [taylor]: Taking taylor expansion of n in k 1.685 * [taylor]: Taking taylor expansion of k in k 1.689 * [taylor]: Taking taylor expansion of 0 in k 1.700 * [taylor]: Taking taylor expansion of 0 in k 1.710 * [taylor]: Taking taylor expansion of 0 in k 1.718 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in (n k) around 0 1.718 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 1.718 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.718 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.718 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.718 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.718 * [taylor]: Taking taylor expansion of -1 in k 1.718 * [taylor]: Taking taylor expansion of k in k 1.719 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.719 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.719 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.719 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.719 * [taylor]: Taking taylor expansion of -0.5 in k 1.719 * [taylor]: Taking taylor expansion of k in k 1.719 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.719 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.719 * [taylor]: Taking taylor expansion of -2.0 in k 1.719 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.719 * [taylor]: Taking taylor expansion of PI in k 1.719 * [taylor]: Taking taylor expansion of n in k 1.719 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.719 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.719 * [taylor]: Taking taylor expansion of 0.5 in k 1.719 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.719 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.719 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.719 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.719 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.719 * [taylor]: Taking taylor expansion of 1.0 in k 1.719 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.719 * [taylor]: Taking taylor expansion of -2.0 in k 1.719 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.719 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.719 * [taylor]: Taking taylor expansion of 1.0 in k 1.720 * [taylor]: Taking taylor expansion of (log PI) in k 1.720 * [taylor]: Taking taylor expansion of PI in k 1.720 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.720 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.720 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.720 * [taylor]: Taking taylor expansion of 1.0 in k 1.720 * [taylor]: Taking taylor expansion of (log n) in k 1.720 * [taylor]: Taking taylor expansion of n in k 1.721 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.721 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.721 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.721 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.721 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.721 * [taylor]: Taking taylor expansion of -1 in n 1.721 * [taylor]: Taking taylor expansion of k in n 1.721 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.721 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.721 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.721 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.721 * [taylor]: Taking taylor expansion of -0.5 in n 1.721 * [taylor]: Taking taylor expansion of k in n 1.721 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.721 * [taylor]: Taking taylor expansion of -2.0 in n 1.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.721 * [taylor]: Taking taylor expansion of PI in n 1.721 * [taylor]: Taking taylor expansion of n in n 1.721 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.721 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.722 * [taylor]: Taking taylor expansion of 0.5 in n 1.722 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.722 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.722 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.722 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.722 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.722 * [taylor]: Taking taylor expansion of 1.0 in n 1.722 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.722 * [taylor]: Taking taylor expansion of -2.0 in n 1.722 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.722 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.722 * [taylor]: Taking taylor expansion of 1.0 in n 1.722 * [taylor]: Taking taylor expansion of (log PI) in n 1.722 * [taylor]: Taking taylor expansion of PI in n 1.722 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.722 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.722 * [taylor]: Taking taylor expansion of 1.0 in n 1.722 * [taylor]: Taking taylor expansion of (log n) in n 1.722 * [taylor]: Taking taylor expansion of n in n 1.723 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 1.723 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.723 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.723 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.723 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.723 * [taylor]: Taking taylor expansion of -1 in n 1.723 * [taylor]: Taking taylor expansion of k in n 1.723 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.723 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.723 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.723 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.723 * [taylor]: Taking taylor expansion of -0.5 in n 1.723 * [taylor]: Taking taylor expansion of k in n 1.723 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.723 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.723 * [taylor]: Taking taylor expansion of -2.0 in n 1.723 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.723 * [taylor]: Taking taylor expansion of PI in n 1.723 * [taylor]: Taking taylor expansion of n in n 1.724 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.724 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.724 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.724 * [taylor]: Taking taylor expansion of 0.5 in n 1.724 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.724 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.724 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.724 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.724 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.724 * [taylor]: Taking taylor expansion of 1.0 in n 1.724 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.724 * [taylor]: Taking taylor expansion of -2.0 in n 1.724 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.724 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.724 * [taylor]: Taking taylor expansion of 1.0 in n 1.724 * [taylor]: Taking taylor expansion of (log PI) in n 1.724 * [taylor]: Taking taylor expansion of PI in n 1.724 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.724 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.724 * [taylor]: Taking taylor expansion of 1.0 in n 1.724 * [taylor]: Taking taylor expansion of (log n) in n 1.724 * [taylor]: Taking taylor expansion of n in n 1.726 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.726 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.726 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.726 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.726 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.726 * [taylor]: Taking taylor expansion of -0.5 in k 1.726 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.726 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.726 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.726 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.726 * [taylor]: Taking taylor expansion of -2.0 in k 1.726 * [taylor]: Taking taylor expansion of PI in k 1.726 * [taylor]: Taking taylor expansion of (log n) in k 1.726 * [taylor]: Taking taylor expansion of n in k 1.726 * [taylor]: Taking taylor expansion of k in k 1.726 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.726 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.726 * [taylor]: Taking taylor expansion of -1 in k 1.726 * [taylor]: Taking taylor expansion of k in k 1.727 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.727 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.727 * [taylor]: Taking taylor expansion of 0.5 in k 1.727 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.727 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.727 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.727 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.727 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.727 * [taylor]: Taking taylor expansion of 1.0 in k 1.727 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.727 * [taylor]: Taking taylor expansion of -2.0 in k 1.727 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.727 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.727 * [taylor]: Taking taylor expansion of 1.0 in k 1.727 * [taylor]: Taking taylor expansion of (log PI) in k 1.727 * [taylor]: Taking taylor expansion of PI in k 1.727 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.727 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.727 * [taylor]: Taking taylor expansion of 1.0 in k 1.727 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.727 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.727 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.727 * [taylor]: Taking taylor expansion of 1.0 in k 1.727 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.727 * [taylor]: Taking taylor expansion of (log 1) in k 1.727 * [taylor]: Taking taylor expansion of 1 in k 1.727 * [taylor]: Taking taylor expansion of (log n) in k 1.727 * [taylor]: Taking taylor expansion of n in k 1.732 * [taylor]: Taking taylor expansion of 0 in k 1.740 * [taylor]: Taking taylor expansion of 0 in k 1.750 * [taylor]: Taking taylor expansion of 0 in k 1.751 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.751 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in (n k) around 0 1.751 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.751 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.751 * [taylor]: Taking taylor expansion of k in k 1.752 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.752 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in k 1.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in k 1.752 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.752 * [taylor]: Taking taylor expansion of 0.5 in k 1.752 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.752 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.752 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.752 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.752 * [taylor]: Taking taylor expansion of 1.0 in k 1.752 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.752 * [taylor]: Taking taylor expansion of 2.0 in k 1.752 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.752 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.752 * [taylor]: Taking taylor expansion of 1.0 in k 1.752 * [taylor]: Taking taylor expansion of (log n) in k 1.752 * [taylor]: Taking taylor expansion of n in k 1.752 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.752 * [taylor]: Taking taylor expansion of 1.0 in k 1.752 * [taylor]: Taking taylor expansion of (log PI) in k 1.752 * [taylor]: Taking taylor expansion of PI in k 1.753 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.753 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.753 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.753 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.753 * [taylor]: Taking taylor expansion of 0.5 in k 1.753 * [taylor]: Taking taylor expansion of k in k 1.753 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.753 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.753 * [taylor]: Taking taylor expansion of 2.0 in k 1.753 * [taylor]: Taking taylor expansion of (* n PI) in k 1.753 * [taylor]: Taking taylor expansion of n in k 1.753 * [taylor]: Taking taylor expansion of PI in k 1.754 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.754 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.754 * [taylor]: Taking taylor expansion of k in n 1.754 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.754 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 1.754 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.754 * [taylor]: Taking taylor expansion of 0.5 in n 1.754 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.754 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.754 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.754 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.754 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.754 * [taylor]: Taking taylor expansion of 1.0 in n 1.754 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.754 * [taylor]: Taking taylor expansion of 2.0 in n 1.754 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.754 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.754 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.754 * [taylor]: Taking taylor expansion of 1.0 in n 1.754 * [taylor]: Taking taylor expansion of (log n) in n 1.754 * [taylor]: Taking taylor expansion of n in n 1.754 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.754 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.754 * [taylor]: Taking taylor expansion of 1.0 in n 1.755 * [taylor]: Taking taylor expansion of (log PI) in n 1.755 * [taylor]: Taking taylor expansion of PI in n 1.756 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.756 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.756 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.756 * [taylor]: Taking taylor expansion of 0.5 in n 1.756 * [taylor]: Taking taylor expansion of k in n 1.756 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.756 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.756 * [taylor]: Taking taylor expansion of 2.0 in n 1.756 * [taylor]: Taking taylor expansion of (* n PI) in n 1.756 * [taylor]: Taking taylor expansion of n in n 1.756 * [taylor]: Taking taylor expansion of PI in n 1.756 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.756 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.756 * [taylor]: Taking taylor expansion of k in n 1.756 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.756 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 1.756 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 1.756 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.756 * [taylor]: Taking taylor expansion of 0.5 in n 1.756 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.756 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.756 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.756 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.756 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.756 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.756 * [taylor]: Taking taylor expansion of 1.0 in n 1.756 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.756 * [taylor]: Taking taylor expansion of 2.0 in n 1.757 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.757 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.757 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.757 * [taylor]: Taking taylor expansion of 1.0 in n 1.757 * [taylor]: Taking taylor expansion of (log n) in n 1.757 * [taylor]: Taking taylor expansion of n in n 1.757 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.757 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.757 * [taylor]: Taking taylor expansion of 1.0 in n 1.757 * [taylor]: Taking taylor expansion of (log PI) in n 1.757 * [taylor]: Taking taylor expansion of PI in n 1.758 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.758 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.758 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.758 * [taylor]: Taking taylor expansion of 0.5 in n 1.758 * [taylor]: Taking taylor expansion of k in n 1.758 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.758 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.758 * [taylor]: Taking taylor expansion of 2.0 in n 1.758 * [taylor]: Taking taylor expansion of (* n PI) in n 1.758 * [taylor]: Taking taylor expansion of n in n 1.758 * [taylor]: Taking taylor expansion of PI in n 1.759 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) (pow (/ 1 (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) 0.5))) in k 1.759 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.759 * [taylor]: Taking taylor expansion of k in k 1.759 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) (pow (/ 1 (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) 0.5)) in k 1.759 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.759 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.759 * [taylor]: Taking taylor expansion of 0.5 in k 1.759 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.759 * [taylor]: Taking taylor expansion of k in k 1.759 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.759 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.759 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.759 * [taylor]: Taking taylor expansion of 2.0 in k 1.759 * [taylor]: Taking taylor expansion of PI in k 1.759 * [taylor]: Taking taylor expansion of (log n) in k 1.759 * [taylor]: Taking taylor expansion of n in k 1.760 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) 0.5) in k 1.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))))) in k 1.760 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.760 * [taylor]: Taking taylor expansion of 0.5 in k 1.760 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.760 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.760 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.760 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.760 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.760 * [taylor]: Taking taylor expansion of 1.0 in k 1.760 * [taylor]: Taking taylor expansion of (log PI) in k 1.760 * [taylor]: Taking taylor expansion of PI in k 1.760 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.760 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.760 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.760 * [taylor]: Taking taylor expansion of 1.0 in k 1.760 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.760 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.760 * [taylor]: Taking taylor expansion of 1.0 in k 1.760 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.760 * [taylor]: Taking taylor expansion of (log 1) in k 1.760 * [taylor]: Taking taylor expansion of 1 in k 1.760 * [taylor]: Taking taylor expansion of (log n) in k 1.760 * [taylor]: Taking taylor expansion of n in k 1.761 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.761 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.761 * [taylor]: Taking taylor expansion of 2.0 in k 1.766 * [taylor]: Taking taylor expansion of 0 in k 1.774 * [taylor]: Taking taylor expansion of 0 in k 1.791 * [taylor]: Taking taylor expansion of 0 in k 1.812 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (/ 0.5 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (sqrt (/ 1 k)))) in (n k) around 0 1.812 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (/ 0.5 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (sqrt (/ 1 k)))) in k 1.812 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.812 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.812 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.812 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.812 * [taylor]: Taking taylor expansion of 0.5 in k 1.812 * [taylor]: Taking taylor expansion of k in k 1.812 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.812 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.812 * [taylor]: Taking taylor expansion of 2.0 in k 1.812 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.812 * [taylor]: Taking taylor expansion of PI in k 1.812 * [taylor]: Taking taylor expansion of n in k 1.813 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (sqrt (/ 1 k))) in k 1.813 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in k 1.813 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in k 1.813 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in k 1.813 * [taylor]: Taking taylor expansion of 0.5 in k 1.813 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in k 1.813 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in k 1.813 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.813 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.813 * [taylor]: Taking taylor expansion of 1.0 in k 1.813 * [taylor]: Taking taylor expansion of (log n) in k 1.813 * [taylor]: Taking taylor expansion of n in k 1.813 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.813 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.813 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.813 * [taylor]: Taking taylor expansion of 1.0 in k 1.813 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.813 * [taylor]: Taking taylor expansion of 2.0 in k 1.813 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.813 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.813 * [taylor]: Taking taylor expansion of 1.0 in k 1.813 * [taylor]: Taking taylor expansion of (log PI) in k 1.813 * [taylor]: Taking taylor expansion of PI in k 1.814 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.814 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.814 * [taylor]: Taking taylor expansion of k in k 1.814 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (/ 0.5 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (sqrt (/ 1 k)))) in n 1.814 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.814 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.814 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.814 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.814 * [taylor]: Taking taylor expansion of 0.5 in n 1.814 * [taylor]: Taking taylor expansion of k in n 1.814 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.814 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.814 * [taylor]: Taking taylor expansion of 2.0 in n 1.814 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.814 * [taylor]: Taking taylor expansion of PI in n 1.814 * [taylor]: Taking taylor expansion of n in n 1.815 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (sqrt (/ 1 k))) in n 1.815 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in n 1.815 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in n 1.815 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in n 1.815 * [taylor]: Taking taylor expansion of 0.5 in n 1.815 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in n 1.815 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in n 1.815 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.815 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.815 * [taylor]: Taking taylor expansion of 1.0 in n 1.815 * [taylor]: Taking taylor expansion of (log n) in n 1.815 * [taylor]: Taking taylor expansion of n in n 1.815 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.815 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.815 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.815 * [taylor]: Taking taylor expansion of 1.0 in n 1.815 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.815 * [taylor]: Taking taylor expansion of 2.0 in n 1.815 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.815 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.815 * [taylor]: Taking taylor expansion of 1.0 in n 1.815 * [taylor]: Taking taylor expansion of (log PI) in n 1.815 * [taylor]: Taking taylor expansion of PI in n 1.816 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.816 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.816 * [taylor]: Taking taylor expansion of k in n 1.816 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (/ 0.5 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (sqrt (/ 1 k)))) in n 1.816 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.816 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.816 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.816 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.816 * [taylor]: Taking taylor expansion of 0.5 in n 1.816 * [taylor]: Taking taylor expansion of k in n 1.816 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.816 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.816 * [taylor]: Taking taylor expansion of 2.0 in n 1.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.816 * [taylor]: Taking taylor expansion of PI in n 1.816 * [taylor]: Taking taylor expansion of n in n 1.817 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (sqrt (/ 1 k))) in n 1.817 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in n 1.817 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in n 1.817 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in n 1.817 * [taylor]: Taking taylor expansion of 0.5 in n 1.817 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in n 1.817 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in n 1.817 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.817 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.817 * [taylor]: Taking taylor expansion of 1.0 in n 1.817 * [taylor]: Taking taylor expansion of (log n) in n 1.817 * [taylor]: Taking taylor expansion of n in n 1.817 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.817 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.817 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.817 * [taylor]: Taking taylor expansion of 1.0 in n 1.817 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.817 * [taylor]: Taking taylor expansion of 2.0 in n 1.817 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.817 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.817 * [taylor]: Taking taylor expansion of 1.0 in n 1.817 * [taylor]: Taking taylor expansion of (log PI) in n 1.817 * [taylor]: Taking taylor expansion of PI in n 1.818 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.818 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.818 * [taylor]: Taking taylor expansion of k in n 1.819 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.819 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.819 * [taylor]: Taking taylor expansion of k in k 1.819 * [taylor]: Taking taylor expansion of (* (pow (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.819 * [taylor]: Taking taylor expansion of (pow (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in k 1.819 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in k 1.819 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in k 1.819 * [taylor]: Taking taylor expansion of 0.5 in k 1.819 * [taylor]: Taking taylor expansion of (log (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in k 1.819 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in k 1.819 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.819 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.819 * [taylor]: Taking taylor expansion of 1.0 in k 1.819 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.819 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.819 * [taylor]: Taking taylor expansion of 1.0 in k 1.819 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.820 * [taylor]: Taking taylor expansion of (log 1) in k 1.820 * [taylor]: Taking taylor expansion of 1 in k 1.820 * [taylor]: Taking taylor expansion of (log n) in k 1.820 * [taylor]: Taking taylor expansion of n in k 1.820 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.820 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.820 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.820 * [taylor]: Taking taylor expansion of 1.0 in k 1.820 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.820 * [taylor]: Taking taylor expansion of 2.0 in k 1.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.820 * [taylor]: Taking taylor expansion of 1.0 in k 1.820 * [taylor]: Taking taylor expansion of (log PI) in k 1.820 * [taylor]: Taking taylor expansion of PI in k 1.821 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.821 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.821 * [taylor]: Taking taylor expansion of 0.5 in k 1.821 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.821 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.821 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.821 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.821 * [taylor]: Taking taylor expansion of 2.0 in k 1.821 * [taylor]: Taking taylor expansion of PI in k 1.821 * [taylor]: Taking taylor expansion of (log n) in k 1.821 * [taylor]: Taking taylor expansion of n in k 1.821 * [taylor]: Taking taylor expansion of k in k 1.825 * [taylor]: Taking taylor expansion of 0 in k 1.833 * [taylor]: Taking taylor expansion of 0 in k 1.843 * [taylor]: Taking taylor expansion of 0 in k 1.852 * [approximate]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in (n k) around 0 1.852 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 1.852 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.852 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.852 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.852 * [taylor]: Taking taylor expansion of -1 in k 1.852 * [taylor]: Taking taylor expansion of k in k 1.852 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.852 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.852 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.852 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.852 * [taylor]: Taking taylor expansion of -0.5 in k 1.852 * [taylor]: Taking taylor expansion of k in k 1.852 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.852 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.852 * [taylor]: Taking taylor expansion of -2.0 in k 1.852 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.852 * [taylor]: Taking taylor expansion of PI in k 1.852 * [taylor]: Taking taylor expansion of n in k 1.852 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 1.852 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 1.853 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 1.853 * [taylor]: Taking taylor expansion of 0.5 in k 1.853 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 1.853 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 1.853 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.853 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [taylor]: Taking taylor expansion of (log n) in k 1.853 * [taylor]: Taking taylor expansion of n in k 1.853 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.853 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.853 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.853 * [taylor]: Taking taylor expansion of -2.0 in k 1.853 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.853 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.853 * [taylor]: Taking taylor expansion of 1.0 in k 1.853 * [taylor]: Taking taylor expansion of (log PI) in k 1.853 * [taylor]: Taking taylor expansion of PI in k 1.854 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 1.854 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.854 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.854 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.854 * [taylor]: Taking taylor expansion of -1 in n 1.854 * [taylor]: Taking taylor expansion of k 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 1.854 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.854 * [taylor]: Taking taylor expansion of -2.0 in n 1.854 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.854 * [taylor]: Taking taylor expansion of PI in n 1.854 * [taylor]: Taking taylor expansion of n in n 1.855 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 1.855 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 1.855 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 1.855 * [taylor]: Taking taylor expansion of 0.5 in n 1.855 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 1.855 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 1.855 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.855 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.855 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.855 * [taylor]: Taking taylor expansion of 1.0 in n 1.855 * [taylor]: Taking taylor expansion of (log n) in n 1.855 * [taylor]: Taking taylor expansion of n in n 1.855 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.855 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.855 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.855 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.855 * [taylor]: Taking taylor expansion of 1.0 in n 1.855 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.855 * [taylor]: Taking taylor expansion of -2.0 in n 1.855 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.855 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.855 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.855 * [taylor]: Taking taylor expansion of 1.0 in n 1.855 * [taylor]: Taking taylor expansion of (log PI) in n 1.855 * [taylor]: Taking taylor expansion of PI in n 1.856 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 1.856 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.856 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.856 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.856 * [taylor]: Taking taylor expansion of -1 in n 1.856 * [taylor]: Taking taylor expansion of k in n 1.856 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.856 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.856 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.856 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.856 * [taylor]: Taking taylor expansion of -0.5 in n 1.856 * [taylor]: Taking taylor expansion of k in n 1.857 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.857 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.857 * [taylor]: Taking taylor expansion of -2.0 in n 1.857 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.857 * [taylor]: Taking taylor expansion of PI in n 1.857 * [taylor]: Taking taylor expansion of n in n 1.857 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 1.857 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 1.857 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 1.857 * [taylor]: Taking taylor expansion of 0.5 in n 1.857 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 1.857 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 1.857 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.857 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.857 * [taylor]: Taking taylor expansion of 1.0 in n 1.857 * [taylor]: Taking taylor expansion of (log n) in n 1.857 * [taylor]: Taking taylor expansion of n in n 1.857 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.857 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.857 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.857 * [taylor]: Taking taylor expansion of 1.0 in n 1.857 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.857 * [taylor]: Taking taylor expansion of -2.0 in n 1.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.857 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.857 * [taylor]: Taking taylor expansion of 1.0 in n 1.857 * [taylor]: Taking taylor expansion of (log PI) in n 1.857 * [taylor]: Taking taylor expansion of PI in n 1.859 * [taylor]: Taking taylor expansion of (* (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) (pow (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 1.859 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.859 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.859 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.859 * [taylor]: Taking taylor expansion of -0.5 in k 1.859 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.859 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.859 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.859 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.859 * [taylor]: Taking taylor expansion of -2.0 in k 1.859 * [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 1.859 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.859 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.859 * [taylor]: Taking taylor expansion of -1 in k 1.859 * [taylor]: Taking taylor expansion of k in k 1.860 * [taylor]: Taking taylor expansion of (pow (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 1.860 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 1.860 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 1.860 * [taylor]: Taking taylor expansion of 0.5 in k 1.860 * [taylor]: Taking taylor expansion of (log (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 1.860 * [taylor]: Taking taylor expansion of (/ (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 1.860 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.860 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.860 * [taylor]: Taking taylor expansion of 1.0 in k 1.860 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.860 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.860 * [taylor]: Taking taylor expansion of 1.0 in k 1.860 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.860 * [taylor]: Taking taylor expansion of (log 1) in k 1.860 * [taylor]: Taking taylor expansion of 1 in k 1.860 * [taylor]: Taking taylor expansion of (log n) in k 1.860 * [taylor]: Taking taylor expansion of n in k 1.860 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.860 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.860 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.860 * [taylor]: Taking taylor expansion of 1.0 in k 1.860 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.860 * [taylor]: Taking taylor expansion of -2.0 in k 1.860 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.860 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.860 * [taylor]: Taking taylor expansion of 1.0 in k 1.861 * [taylor]: Taking taylor expansion of (log PI) in k 1.861 * [taylor]: Taking taylor expansion of PI in k 1.865 * [taylor]: Taking taylor expansion of 0 in k 1.872 * [taylor]: Taking taylor expansion of 0 in k 1.882 * [taylor]: Taking taylor expansion of 0 in k 1.892 * * * [progress]: simplifying candidates 1.896 * [simplify]: Simplifying using # : (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (log PI) (+ (log 2.0) (log n))) (+ (log PI) (log (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* PI (* 2.0 n))) (* (* (* PI PI) PI) (* (* (* 2.0 2.0) 2.0) (* (* n n) n))) (* (* (* PI PI) PI) (* (* (* 2.0 n) (* 2.0 n)) (* 2.0 n))) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (* (* (* PI (* 2.0 n)) (* PI (* 2.0 n))) (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* (cbrt PI) (* 2.0 n)) (* (sqrt PI) (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (log PI) (+ (log 2.0) (log n))) (+ (log PI) (log (* 2.0 n))) (log (* PI (* 2.0 n))) (exp (* PI (* 2.0 n))) (* (* (* PI PI) PI) (* (* (* 2.0 2.0) 2.0) (* (* n n) n))) (* (* (* PI PI) PI) (* (* (* 2.0 n) (* 2.0 n)) (* 2.0 n))) (* (cbrt (* PI (* 2.0 n))) (cbrt (* PI (* 2.0 n)))) (cbrt (* PI (* 2.0 n))) (* (* (* PI (* 2.0 n)) (* PI (* 2.0 n))) (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (sqrt (* PI (* 2.0 n))) (* PI 2.0) (* (cbrt PI) (* 2.0 n)) (* (sqrt PI) (* 2.0 n)) (* PI (* 2.0 n)) (neg 1) (neg 1) (neg (+ (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0))) (log (sqrt k)))) (neg (+ (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0))) (log (sqrt k)))) (neg (+ (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0))) (log (sqrt k)))) (neg (+ (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0))) (log (sqrt k)))) (neg (+ (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0)) (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (log (sqrt k)))) (neg (+ (- (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0))) (log (sqrt k)))) (neg (+ (- (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0))) (log (sqrt k)))) (neg (+ (- (* (+ (log PI) (log 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0.5)) (* (pow (/ (pow (* (pow 1 1.0) (pow (/ -1 n) 1.0)) 1.0) (* (pow PI 1.0) (pow -2.0 1.0))) 0.5) (- (* NAN (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n)))))) (* (/ (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n))))) k) (pow NAN 3))))) 1.952 * * * [progress]: adding candidates to table 2.251 * [progress]: [Phase 3 of 3] Extracting. 2.251 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.254 * * * [regime-changes]: Trying 2 branch expressions: (n k) 2.254 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 2.314 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 2.376 * * * [regime]: Found split indices: #