37.603 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.213 * * * [progress]: [2/2] Setting up program. 0.217 * [progress]: [Phase 2 of 3] Improving. 0.217 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.257 * * [simplify]: iteration 0 : 4992 enodes (cost 16 ) 0.257 * * [simplify]: iteration 1 : 4992 enodes (cost 16 ) 0.257 * [simplify]: Simplified to: (* 1.0 (/ (pow (* 2.0 (* PI n)) (/ (- 1.0 k) 2.0)) (sqrt k))) 0.261 * * [progress]: iteration 1 / 4 0.261 * * * [progress]: picking best candidate 0.267 * * * * [pick]: Picked # 0.267 * * * [progress]: localizing error 0.283 * * * [progress]: generating rewritten candidates 0.283 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 1 2) 0.287 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 0.295 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.305 * * * [progress]: generating series expansions 0.305 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 1 2) 0.305 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 0.305 * [taylor]: Taking taylor expansion of (* n PI) in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.305 * [taylor]: Taking taylor expansion of PI in n 0.305 * [taylor]: Taking taylor expansion of (* n PI) in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.305 * [taylor]: Taking taylor expansion of PI in n 0.306 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 0.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.306 * [taylor]: Taking taylor expansion of PI in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.306 * [taylor]: Taking taylor expansion of PI in n 0.306 * [taylor]: Taking taylor expansion of n in n 0.307 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 0.307 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.307 * [taylor]: Taking taylor expansion of -1 in n 0.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.307 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 0.307 * [taylor]: Taking taylor expansion of -1 in n 0.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.308 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 0.308 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.308 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.308 * [taylor]: Taking taylor expansion of 0.5 in k 0.308 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.308 * [taylor]: Taking taylor expansion of 1.0 in k 0.308 * [taylor]: Taking taylor expansion of k in k 0.308 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.308 * [taylor]: Taking taylor expansion of 2.0 in k 0.308 * [taylor]: Taking taylor expansion of (* n PI) in k 0.308 * [taylor]: Taking taylor expansion of n in k 0.308 * [taylor]: Taking taylor expansion of PI in k 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 0.309 * [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 (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.310 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.310 * [taylor]: Taking taylor expansion of 0.5 in k 0.310 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.310 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.310 * [taylor]: Taking taylor expansion of 1.0 in k 0.310 * [taylor]: Taking taylor expansion of k in k 0.310 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.310 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.310 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.310 * [taylor]: Taking taylor expansion of 2.0 in k 0.310 * [taylor]: Taking taylor expansion of PI in k 0.310 * [taylor]: Taking taylor expansion of (log n) in k 0.310 * [taylor]: Taking taylor expansion of n in k 0.311 * [taylor]: Taking taylor expansion of 0 in k 0.312 * [taylor]: Taking taylor expansion of 0 in k 0.314 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.314 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.314 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.314 * [taylor]: Taking taylor expansion of 0.5 in k 0.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.314 * [taylor]: Taking taylor expansion of 1.0 in k 0.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.314 * [taylor]: Taking taylor expansion of k in k 0.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.314 * [taylor]: Taking taylor expansion of 2.0 in k 0.314 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.314 * [taylor]: Taking taylor expansion of PI in k 0.314 * [taylor]: Taking taylor expansion of n in k 0.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.315 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.315 * [taylor]: Taking taylor expansion of 0.5 in n 0.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.315 * [taylor]: Taking taylor expansion of 1.0 in n 0.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.315 * [taylor]: Taking taylor expansion of k in n 0.315 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.315 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.315 * [taylor]: Taking taylor expansion of 2.0 in n 0.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.315 * [taylor]: Taking taylor expansion of PI in n 0.315 * [taylor]: Taking taylor expansion of n in n 0.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.316 * [taylor]: Taking taylor expansion of 0.5 in n 0.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.316 * [taylor]: Taking taylor expansion of 1.0 in n 0.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.316 * [taylor]: Taking taylor expansion of k in n 0.316 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.316 * [taylor]: Taking taylor expansion of 2.0 in n 0.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.316 * [taylor]: Taking taylor expansion of PI in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.316 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.316 * [taylor]: Taking taylor expansion of 0.5 in k 0.316 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.316 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.316 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.316 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.316 * [taylor]: Taking taylor expansion of 2.0 in k 0.316 * [taylor]: Taking taylor expansion of PI in k 0.316 * [taylor]: Taking taylor expansion of (log n) in k 0.316 * [taylor]: Taking taylor expansion of n in k 0.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.316 * [taylor]: Taking taylor expansion of 1.0 in k 0.316 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.316 * [taylor]: Taking taylor expansion of k in k 0.317 * [taylor]: Taking taylor expansion of 0 in k 0.318 * [taylor]: Taking taylor expansion of 0 in k 0.319 * [taylor]: Taking taylor expansion of 0 in k 0.319 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.319 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.319 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.319 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.320 * [taylor]: Taking taylor expansion of 0.5 in k 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.320 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.320 * [taylor]: Taking taylor expansion of k in k 0.320 * [taylor]: Taking taylor expansion of 1.0 in k 0.320 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.320 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.320 * [taylor]: Taking taylor expansion of -2.0 in k 0.320 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.320 * [taylor]: Taking taylor expansion of PI in k 0.320 * [taylor]: Taking taylor expansion of n in k 0.320 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.320 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.320 * [taylor]: Taking taylor expansion of 0.5 in n 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.320 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.320 * [taylor]: Taking taylor expansion of k in n 0.320 * [taylor]: Taking taylor expansion of 1.0 in n 0.320 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.320 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.320 * [taylor]: Taking taylor expansion of -2.0 in n 0.320 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.320 * [taylor]: Taking taylor expansion of PI in n 0.320 * [taylor]: Taking taylor expansion of n in n 0.321 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.321 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.321 * [taylor]: Taking taylor expansion of 0.5 in n 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.321 * [taylor]: Taking taylor expansion of k in n 0.321 * [taylor]: Taking taylor expansion of 1.0 in n 0.321 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.321 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.321 * [taylor]: Taking taylor expansion of -2.0 in n 0.321 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.321 * [taylor]: Taking taylor expansion of PI in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.321 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.321 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.321 * [taylor]: Taking taylor expansion of 0.5 in k 0.321 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.321 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.321 * [taylor]: Taking taylor expansion of k in k 0.321 * [taylor]: Taking taylor expansion of 1.0 in k 0.321 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.321 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.321 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.321 * [taylor]: Taking taylor expansion of -2.0 in k 0.321 * [taylor]: Taking taylor expansion of PI in k 0.321 * [taylor]: Taking taylor expansion of (log n) in k 0.321 * [taylor]: Taking taylor expansion of n in k 0.322 * [taylor]: Taking taylor expansion of 0 in k 0.323 * [taylor]: Taking taylor expansion of 0 in k 0.324 * [taylor]: Taking taylor expansion of 0 in k 0.324 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.324 * [approximate]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in (n k) around 0 0.324 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 0.324 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.324 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.324 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.325 * [taylor]: Taking taylor expansion of 0.5 in k 0.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.325 * [taylor]: Taking taylor expansion of 1.0 in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.325 * [taylor]: Taking taylor expansion of 2.0 in k 0.325 * [taylor]: Taking taylor expansion of (* n PI) in k 0.325 * [taylor]: Taking taylor expansion of n in k 0.325 * [taylor]: Taking taylor expansion of PI in k 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.325 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.325 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.325 * [taylor]: Taking taylor expansion of 0.5 in n 0.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.325 * [taylor]: Taking taylor expansion of k in n 0.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.325 * [taylor]: Taking taylor expansion of 2.0 in n 0.325 * [taylor]: Taking taylor expansion of (* n PI) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of PI in n 0.325 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.325 * [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 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 0.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.326 * [taylor]: Taking taylor expansion of 0.5 in n 0.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.326 * [taylor]: Taking taylor expansion of 1.0 in n 0.326 * [taylor]: Taking taylor expansion of k in n 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.326 * [taylor]: Taking taylor expansion of 2.0 in n 0.326 * [taylor]: Taking taylor expansion of (* n PI) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of PI in n 0.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) 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 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 0.327 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.327 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.327 * [taylor]: Taking taylor expansion of k in k 0.327 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.327 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.327 * [taylor]: Taking taylor expansion of 0.5 in k 0.327 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.327 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.327 * [taylor]: Taking taylor expansion of 1.0 in k 0.327 * [taylor]: Taking taylor expansion of k in k 0.327 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.327 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.327 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.327 * [taylor]: Taking taylor expansion of 2.0 in k 0.327 * [taylor]: Taking taylor expansion of PI in k 0.327 * [taylor]: Taking taylor expansion of (log n) in k 0.327 * [taylor]: Taking taylor expansion of n in k 0.328 * [taylor]: Taking taylor expansion of 0 in k 0.329 * [taylor]: Taking taylor expansion of 0 in k 0.333 * [taylor]: Taking taylor expansion of 0 in k 0.340 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in (n k) around 0 0.340 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.340 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.340 * [taylor]: Taking taylor expansion of k in k 0.340 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.340 * [taylor]: Taking taylor expansion of 0.5 in k 0.340 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.340 * [taylor]: Taking taylor expansion of 1.0 in k 0.340 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.340 * [taylor]: Taking taylor expansion of k in k 0.340 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.340 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.340 * [taylor]: Taking taylor expansion of 2.0 in k 0.340 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.340 * [taylor]: Taking taylor expansion of PI in k 0.340 * [taylor]: Taking taylor expansion of n in k 0.340 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.340 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.340 * [taylor]: Taking taylor expansion of k in n 0.340 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.340 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.340 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.340 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.340 * [taylor]: Taking taylor expansion of 0.5 in n 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.341 * [taylor]: Taking taylor expansion of k in n 0.341 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.341 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of 2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.341 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.341 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.341 * [taylor]: Taking taylor expansion of k in n 0.341 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.341 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.341 * [taylor]: Taking taylor expansion of 0.5 in n 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.341 * [taylor]: Taking taylor expansion of k in n 0.341 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.341 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.341 * [taylor]: Taking taylor expansion of 2.0 in n 0.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.341 * [taylor]: Taking taylor expansion of PI in n 0.341 * [taylor]: Taking taylor expansion of n in n 0.342 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 0.342 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.342 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.342 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.342 * [taylor]: Taking taylor expansion of 0.5 in k 0.342 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.342 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.342 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.342 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.342 * [taylor]: Taking taylor expansion of 2.0 in k 0.342 * [taylor]: Taking taylor expansion of PI in k 0.342 * [taylor]: Taking taylor expansion of (log n) in k 0.342 * [taylor]: Taking taylor expansion of n in k 0.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.342 * [taylor]: Taking taylor expansion of 1.0 in k 0.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.342 * [taylor]: Taking taylor expansion of k in k 0.343 * [taylor]: Taking taylor expansion of 0 in k 0.344 * [taylor]: Taking taylor expansion of 0 in k 0.346 * [taylor]: Taking taylor expansion of 0 in k 0.347 * [approximate]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in (n k) around 0 0.348 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.348 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.348 * [taylor]: Taking taylor expansion of 0.5 in k 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.348 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.348 * [taylor]: Taking taylor expansion of k in k 0.348 * [taylor]: Taking taylor expansion of 1.0 in k 0.348 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.348 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.348 * [taylor]: Taking taylor expansion of -2.0 in k 0.348 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.348 * [taylor]: Taking taylor expansion of PI in k 0.348 * [taylor]: Taking taylor expansion of n in k 0.348 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.348 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.348 * [taylor]: Taking taylor expansion of -1 in k 0.348 * [taylor]: Taking taylor expansion of k in k 0.348 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.348 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.348 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.348 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.348 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.348 * [taylor]: Taking taylor expansion of 0.5 in n 0.348 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.348 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.348 * [taylor]: Taking taylor expansion of k in n 0.348 * [taylor]: Taking taylor expansion of 1.0 in n 0.348 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.348 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.348 * [taylor]: Taking taylor expansion of -2.0 in n 0.348 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.348 * [taylor]: Taking taylor expansion of PI in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.349 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.349 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.349 * [taylor]: Taking taylor expansion of -1 in n 0.349 * [taylor]: Taking taylor expansion of k in n 0.349 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.349 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.349 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.349 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.349 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.349 * [taylor]: Taking taylor expansion of 0.5 in n 0.349 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.349 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.349 * [taylor]: Taking taylor expansion of k in n 0.349 * [taylor]: Taking taylor expansion of 1.0 in n 0.349 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.349 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.349 * [taylor]: Taking taylor expansion of -2.0 in n 0.349 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.349 * [taylor]: Taking taylor expansion of PI in n 0.349 * [taylor]: Taking taylor expansion of n in n 0.350 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.350 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.350 * [taylor]: Taking taylor expansion of -1 in n 0.350 * [taylor]: Taking taylor expansion of k in n 0.350 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 0.350 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.350 * [taylor]: Taking taylor expansion of 0.5 in k 0.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.350 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.350 * [taylor]: Taking taylor expansion of k in k 0.350 * [taylor]: Taking taylor expansion of 1.0 in k 0.350 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.350 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.350 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.350 * [taylor]: Taking taylor expansion of -2.0 in k 0.350 * [taylor]: Taking taylor expansion of PI in k 0.350 * [taylor]: Taking taylor expansion of (log n) in k 0.350 * [taylor]: Taking taylor expansion of n in k 0.351 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.351 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.351 * [taylor]: Taking taylor expansion of -1 in k 0.351 * [taylor]: Taking taylor expansion of k in k 0.352 * [taylor]: Taking taylor expansion of 0 in k 0.353 * [taylor]: Taking taylor expansion of 0 in k 0.355 * [taylor]: Taking taylor expansion of 0 in k 0.355 * * * [progress]: simplifying candidates 0.361 * [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)) 0.399 * * [simplify]: iteration 0 : 4975 enodes (cost 2183 ) 0.399 * * [simplify]: iteration 1 : 4975 enodes (cost 2183 ) 0.406 * [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))))))) 0.406 * * * [progress]: adding candidates to table 0.605 * * [progress]: iteration 2 / 4 0.605 * * * [progress]: picking best candidate 0.639 * * * * [pick]: Picked # 0.639 * * * [progress]: localizing error 0.658 * * * [progress]: generating rewritten candidates 0.658 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.663 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 0.668 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.686 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 0.709 * * * [progress]: generating series expansions 0.709 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.709 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.709 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.709 * [taylor]: Taking taylor expansion of 2.0 in n 0.709 * [taylor]: Taking taylor expansion of (* n PI) in n 0.709 * [taylor]: Taking taylor expansion of n in n 0.709 * [taylor]: Taking taylor expansion of PI in n 0.710 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.710 * [taylor]: Taking taylor expansion of 2.0 in n 0.710 * [taylor]: Taking taylor expansion of (* n PI) in n 0.710 * [taylor]: Taking taylor expansion of n in n 0.710 * [taylor]: Taking taylor expansion of PI in n 0.711 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.711 * [taylor]: Taking taylor expansion of 2.0 in n 0.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.711 * [taylor]: Taking taylor expansion of PI in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.711 * [taylor]: Taking taylor expansion of 2.0 in n 0.711 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.711 * [taylor]: Taking taylor expansion of PI in n 0.711 * [taylor]: Taking taylor expansion of n in n 0.712 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.712 * [taylor]: Taking taylor expansion of -2.0 in n 0.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.712 * [taylor]: Taking taylor expansion of PI in n 0.712 * [taylor]: Taking taylor expansion of n in n 0.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.712 * [taylor]: Taking taylor expansion of -2.0 in n 0.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.712 * [taylor]: Taking taylor expansion of PI in n 0.712 * [taylor]: Taking taylor expansion of n in n 0.713 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 0.713 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.713 * [taylor]: Taking taylor expansion of 2.0 in n 0.713 * [taylor]: Taking taylor expansion of (* n PI) in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.713 * [taylor]: Taking taylor expansion of 2.0 in n 0.713 * [taylor]: Taking taylor expansion of (* n PI) in n 0.713 * [taylor]: Taking taylor expansion of n in n 0.713 * [taylor]: Taking taylor expansion of PI in n 0.714 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.714 * [taylor]: Taking taylor expansion of 2.0 in n 0.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.714 * [taylor]: Taking taylor expansion of PI in n 0.714 * [taylor]: Taking taylor expansion of n in n 0.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.714 * [taylor]: Taking taylor expansion of 2.0 in n 0.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.714 * [taylor]: Taking taylor expansion of PI in n 0.714 * [taylor]: Taking taylor expansion of n in n 0.715 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.715 * [taylor]: Taking taylor expansion of -2.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.715 * [taylor]: Taking taylor expansion of PI in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.715 * [taylor]: Taking taylor expansion of -2.0 in n 0.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.715 * [taylor]: Taking taylor expansion of PI in n 0.715 * [taylor]: Taking taylor expansion of n in n 0.716 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.716 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (n k) around 0 0.716 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 0.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.716 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 0.716 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 0.716 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 0.716 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 0.716 * [taylor]: Taking taylor expansion of 0.5 in k 0.716 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 0.716 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 0.716 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.717 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.717 * [taylor]: Taking taylor expansion of 1.0 in k 0.717 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.717 * [taylor]: Taking taylor expansion of 2.0 in k 0.717 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 0.717 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.717 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.717 * [taylor]: Taking taylor expansion of 1.0 in k 0.717 * [taylor]: Taking taylor expansion of (log n) in k 0.717 * [taylor]: Taking taylor expansion of n in k 0.717 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.717 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.717 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.717 * [taylor]: Taking taylor expansion of 1.0 in k 0.717 * [taylor]: Taking taylor expansion of (log PI) in k 0.717 * [taylor]: Taking taylor expansion of PI in k 0.718 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 0.718 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 0.718 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 0.718 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 0.718 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 0.718 * [taylor]: Taking taylor expansion of 0.5 in k 0.718 * [taylor]: Taking taylor expansion of k in k 0.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.718 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.718 * [taylor]: Taking taylor expansion of 2.0 in k 0.718 * [taylor]: Taking taylor expansion of (* n PI) in k 0.718 * [taylor]: Taking taylor expansion of n in k 0.718 * [taylor]: Taking taylor expansion of PI in k 0.718 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 0.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.718 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.718 * [taylor]: Taking taylor expansion of k in n 0.719 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 0.719 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.719 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.719 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.719 * [taylor]: Taking taylor expansion of 0.5 in n 0.719 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.719 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.719 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.719 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.719 * [taylor]: Taking taylor expansion of 1.0 in n 0.719 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.719 * [taylor]: Taking taylor expansion of 2.0 in n 0.719 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.719 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.719 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.719 * [taylor]: Taking taylor expansion of 1.0 in n 0.719 * [taylor]: Taking taylor expansion of (log n) in n 0.719 * [taylor]: Taking taylor expansion of n in n 0.719 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.719 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.719 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.719 * [taylor]: Taking taylor expansion of 1.0 in n 0.719 * [taylor]: Taking taylor expansion of (log PI) in n 0.719 * [taylor]: Taking taylor expansion of PI in n 0.720 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 0.720 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.720 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.720 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.720 * [taylor]: Taking taylor expansion of 0.5 in n 0.720 * [taylor]: Taking taylor expansion of k in n 0.720 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.720 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.720 * [taylor]: Taking taylor expansion of 2.0 in n 0.720 * [taylor]: Taking taylor expansion of (* n PI) in n 0.720 * [taylor]: Taking taylor expansion of n in n 0.720 * [taylor]: Taking taylor expansion of PI in n 0.721 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 0.721 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.721 * [taylor]: Taking taylor expansion of k in n 0.721 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 0.721 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.721 * [taylor]: Taking taylor expansion of 0.5 in n 0.721 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.721 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.721 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.721 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.721 * [taylor]: Taking taylor expansion of 2.0 in n 0.721 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.721 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.721 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (log n) in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.721 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.721 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (log PI) in n 0.721 * [taylor]: Taking taylor expansion of PI in n 0.722 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 0.722 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 0.722 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 0.722 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 0.722 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 0.722 * [taylor]: Taking taylor expansion of 0.5 in n 0.722 * [taylor]: Taking taylor expansion of k in n 0.722 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.722 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.722 * [taylor]: Taking taylor expansion of 2.0 in n 0.722 * [taylor]: Taking taylor expansion of (* n PI) in n 0.722 * [taylor]: Taking taylor expansion of n in n 0.722 * [taylor]: Taking taylor expansion of PI in n 0.723 * [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 0.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.724 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.724 * [taylor]: Taking taylor expansion of k in k 0.724 * [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 0.724 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 0.724 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 0.724 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 0.724 * [taylor]: Taking taylor expansion of 0.5 in k 0.724 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 0.724 * [taylor]: Taking taylor expansion of k in k 0.724 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.724 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.724 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.724 * [taylor]: Taking taylor expansion of 2.0 in k 0.724 * [taylor]: Taking taylor expansion of PI in k 0.724 * [taylor]: Taking taylor expansion of (log n) in k 0.724 * [taylor]: Taking taylor expansion of n in k 0.724 * [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 0.724 * [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 0.724 * [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 0.724 * [taylor]: Taking taylor expansion of 0.5 in k 0.724 * [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 0.724 * [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 0.725 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.725 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.725 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.725 * [taylor]: Taking taylor expansion of 1.0 in k 0.725 * [taylor]: Taking taylor expansion of (log PI) in k 0.725 * [taylor]: Taking taylor expansion of PI in k 0.725 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 0.725 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.725 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.725 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.725 * [taylor]: Taking taylor expansion of 1.0 in k 0.725 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.725 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.725 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.725 * [taylor]: Taking taylor expansion of 1.0 in k 0.725 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.725 * [taylor]: Taking taylor expansion of (log 1) in k 0.725 * [taylor]: Taking taylor expansion of 1 in k 0.725 * [taylor]: Taking taylor expansion of (log n) in k 0.725 * [taylor]: Taking taylor expansion of n in k 0.725 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.725 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.725 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.725 * [taylor]: Taking taylor expansion of 1.0 in k 0.725 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.725 * [taylor]: Taking taylor expansion of 2.0 in k 0.729 * [taylor]: Taking taylor expansion of 0 in k 0.737 * [taylor]: Taking taylor expansion of 0 in k 0.751 * [taylor]: Taking taylor expansion of 0 in k 0.778 * [approximate]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in (n k) around 0 0.778 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in k 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 0.778 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 0.778 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 0.778 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 0.778 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 0.778 * [taylor]: Taking taylor expansion of 0.5 in k 0.778 * [taylor]: Taking taylor expansion of k in k 0.778 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.778 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.778 * [taylor]: Taking taylor expansion of 2.0 in k 0.778 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.778 * [taylor]: Taking taylor expansion of PI in k 0.778 * [taylor]: Taking taylor expansion of n in k 0.778 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in k 0.778 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 0.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 0.778 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 0.778 * [taylor]: Taking taylor expansion of 0.5 in k 0.778 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 0.778 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 0.779 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 0.779 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.779 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.779 * [taylor]: Taking taylor expansion of 1.0 in k 0.779 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.779 * [taylor]: Taking taylor expansion of 2.0 in k 0.779 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.779 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.779 * [taylor]: Taking taylor expansion of 1.0 in k 0.779 * [taylor]: Taking taylor expansion of (log PI) in k 0.779 * [taylor]: Taking taylor expansion of PI in k 0.779 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.779 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.779 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.779 * [taylor]: Taking taylor expansion of 1.0 in k 0.779 * [taylor]: Taking taylor expansion of (log n) in k 0.779 * [taylor]: Taking taylor expansion of n in k 0.780 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.780 * [taylor]: Taking taylor expansion of k in k 0.780 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in n 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 0.780 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.780 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.780 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.780 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.780 * [taylor]: Taking taylor expansion of 0.5 in n 0.780 * [taylor]: Taking taylor expansion of k in n 0.780 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.780 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.780 * [taylor]: Taking taylor expansion of 2.0 in n 0.780 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.780 * [taylor]: Taking taylor expansion of PI in n 0.780 * [taylor]: Taking taylor expansion of n in n 0.781 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in n 0.781 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.781 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.781 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.781 * [taylor]: Taking taylor expansion of 0.5 in n 0.781 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.781 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.781 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 0.781 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.781 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.781 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.781 * [taylor]: Taking taylor expansion of 1.0 in n 0.781 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.781 * [taylor]: Taking taylor expansion of 2.0 in n 0.781 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.781 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.781 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.781 * [taylor]: Taking taylor expansion of 1.0 in n 0.781 * [taylor]: Taking taylor expansion of (log PI) in n 0.781 * [taylor]: Taking taylor expansion of PI in n 0.781 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.781 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.781 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.781 * [taylor]: Taking taylor expansion of 1.0 in n 0.781 * [taylor]: Taking taylor expansion of (log n) in n 0.781 * [taylor]: Taking taylor expansion of n in n 0.782 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.782 * [taylor]: Taking taylor expansion of k in n 0.782 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k))) in n 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 0.782 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 0.782 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 0.782 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 0.782 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 0.782 * [taylor]: Taking taylor expansion of 0.5 in n 0.782 * [taylor]: Taking taylor expansion of k in n 0.782 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.782 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.782 * [taylor]: Taking taylor expansion of 2.0 in n 0.782 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.782 * [taylor]: Taking taylor expansion of PI in n 0.783 * [taylor]: Taking taylor expansion of n in n 0.783 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (sqrt k)) in n 0.783 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.783 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.783 * [taylor]: Taking taylor expansion of 0.5 in n 0.783 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.783 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.783 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 0.783 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.783 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.783 * [taylor]: Taking taylor expansion of 1.0 in n 0.783 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.783 * [taylor]: Taking taylor expansion of 2.0 in n 0.783 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.783 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.783 * [taylor]: Taking taylor expansion of 1.0 in n 0.783 * [taylor]: Taking taylor expansion of (log PI) in n 0.783 * [taylor]: Taking taylor expansion of PI in n 0.783 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.783 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.783 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.783 * [taylor]: Taking taylor expansion of 1.0 in n 0.783 * [taylor]: Taking taylor expansion of (log n) in n 0.783 * [taylor]: Taking taylor expansion of n in n 0.784 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.784 * [taylor]: Taking taylor expansion of k in n 0.785 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 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 0.785 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.785 * [taylor]: Taking taylor expansion of k in k 0.785 * [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) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 0.785 * [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 0.785 * [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 0.785 * [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 0.785 * [taylor]: Taking taylor expansion of 0.5 in k 0.785 * [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 0.785 * [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 0.785 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 0.785 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 0.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 0.785 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 0.785 * [taylor]: Taking taylor expansion of 1.0 in k 0.785 * [taylor]: Taking taylor expansion of (log 2.0) in k 0.785 * [taylor]: Taking taylor expansion of 2.0 in k 0.785 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.785 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.785 * [taylor]: Taking taylor expansion of 1.0 in k 0.786 * [taylor]: Taking taylor expansion of (log PI) in k 0.786 * [taylor]: Taking taylor expansion of PI in k 0.786 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.786 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.786 * [taylor]: Taking taylor expansion of 1.0 in k 0.786 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.786 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.786 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.786 * [taylor]: Taking taylor expansion of 1.0 in k 0.786 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.786 * [taylor]: Taking taylor expansion of (log 1) in k 0.786 * [taylor]: Taking taylor expansion of 1 in k 0.786 * [taylor]: Taking taylor expansion of (log n) in k 0.786 * [taylor]: Taking taylor expansion of n in k 0.787 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 0.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 0.787 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 0.787 * [taylor]: Taking taylor expansion of 0.5 in k 0.787 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 0.787 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.787 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.787 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.787 * [taylor]: Taking taylor expansion of 2.0 in k 0.787 * [taylor]: Taking taylor expansion of PI in k 0.787 * [taylor]: Taking taylor expansion of (log n) in k 0.787 * [taylor]: Taking taylor expansion of n in k 0.787 * [taylor]: Taking taylor expansion of k in k 0.791 * [taylor]: Taking taylor expansion of 0 in k 0.799 * [taylor]: Taking taylor expansion of 0 in k 0.810 * [taylor]: Taking taylor expansion of 0 in k 0.818 * [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 0.818 * [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 0.818 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 0.818 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 0.818 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.818 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.819 * [taylor]: Taking taylor expansion of -1 in k 0.819 * [taylor]: Taking taylor expansion of k in k 0.819 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 0.819 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 0.819 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 0.819 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 0.819 * [taylor]: Taking taylor expansion of -0.5 in k 0.819 * [taylor]: Taking taylor expansion of k in k 0.819 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.819 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.819 * [taylor]: Taking taylor expansion of -2.0 in k 0.819 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.819 * [taylor]: Taking taylor expansion of PI in k 0.819 * [taylor]: Taking taylor expansion of n in k 0.819 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 0.819 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 0.819 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 0.819 * [taylor]: Taking taylor expansion of 0.5 in k 0.819 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 0.819 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 0.819 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 0.819 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 0.819 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 0.819 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 0.819 * [taylor]: Taking taylor expansion of 1.0 in k 0.819 * [taylor]: Taking taylor expansion of (log -2.0) in k 0.819 * [taylor]: Taking taylor expansion of -2.0 in k 0.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.820 * [taylor]: Taking taylor expansion of 1.0 in k 0.820 * [taylor]: Taking taylor expansion of (log PI) in k 0.820 * [taylor]: Taking taylor expansion of PI in k 0.820 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 0.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 0.820 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 0.820 * [taylor]: Taking taylor expansion of 1.0 in k 0.820 * [taylor]: Taking taylor expansion of (log n) in k 0.820 * [taylor]: Taking taylor expansion of n in k 0.821 * [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 0.821 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 0.821 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 0.821 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.821 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.821 * [taylor]: Taking taylor expansion of -1 in n 0.821 * [taylor]: Taking taylor expansion of k in n 0.821 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.821 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.821 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.821 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.821 * [taylor]: Taking taylor expansion of -0.5 in n 0.821 * [taylor]: Taking taylor expansion of k in n 0.821 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.821 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.821 * [taylor]: Taking taylor expansion of -2.0 in n 0.821 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.821 * [taylor]: Taking taylor expansion of PI in n 0.821 * [taylor]: Taking taylor expansion of n in n 0.822 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.822 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.822 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.822 * [taylor]: Taking taylor expansion of 0.5 in n 0.822 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.822 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.822 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 0.822 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 0.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 0.822 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 0.822 * [taylor]: Taking taylor expansion of 1.0 in n 0.822 * [taylor]: Taking taylor expansion of (log -2.0) in n 0.822 * [taylor]: Taking taylor expansion of -2.0 in n 0.822 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.822 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.822 * [taylor]: Taking taylor expansion of 1.0 in n 0.822 * [taylor]: Taking taylor expansion of (log PI) in n 0.822 * [taylor]: Taking taylor expansion of PI in n 0.822 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.822 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.822 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.822 * [taylor]: Taking taylor expansion of 1.0 in n 0.822 * [taylor]: Taking taylor expansion of (log n) in n 0.822 * [taylor]: Taking taylor expansion of n in n 0.823 * [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 0.823 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 0.823 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 0.823 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.823 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.823 * [taylor]: Taking taylor expansion of -1 in n 0.823 * [taylor]: Taking taylor expansion of k in n 0.823 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 0.823 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 0.823 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 0.823 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 0.823 * [taylor]: Taking taylor expansion of -0.5 in n 0.823 * [taylor]: Taking taylor expansion of k in n 0.823 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.823 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.823 * [taylor]: Taking taylor expansion of -2.0 in n 0.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.823 * [taylor]: Taking taylor expansion of PI in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.824 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 0.824 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 0.824 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 0.824 * [taylor]: Taking taylor expansion of 0.5 in n 0.824 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 0.824 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 0.824 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 0.824 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 0.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 0.824 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 0.824 * [taylor]: Taking taylor expansion of 1.0 in n 0.824 * [taylor]: Taking taylor expansion of (log -2.0) in n 0.824 * [taylor]: Taking taylor expansion of -2.0 in n 0.824 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.824 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.824 * [taylor]: Taking taylor expansion of 1.0 in n 0.824 * [taylor]: Taking taylor expansion of (log PI) in n 0.824 * [taylor]: Taking taylor expansion of PI in n 0.824 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.824 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.824 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.824 * [taylor]: Taking taylor expansion of 1.0 in n 0.824 * [taylor]: Taking taylor expansion of (log n) in n 0.824 * [taylor]: Taking taylor expansion of n in n 0.826 * [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 0.826 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 0.826 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 0.826 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 0.826 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 0.826 * [taylor]: Taking taylor expansion of -0.5 in k 0.826 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 0.826 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.826 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.826 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.826 * [taylor]: Taking taylor expansion of -2.0 in k 0.826 * [taylor]: Taking taylor expansion of PI in k 0.826 * [taylor]: Taking taylor expansion of (log n) in k 0.826 * [taylor]: Taking taylor expansion of n in k 0.826 * [taylor]: Taking taylor expansion of k in k 0.826 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.826 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.826 * [taylor]: Taking taylor expansion of -1 in k 0.826 * [taylor]: Taking taylor expansion of k in k 0.827 * [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 0.827 * [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 0.827 * [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 0.827 * [taylor]: Taking taylor expansion of 0.5 in k 0.827 * [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 0.827 * [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 0.827 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 0.827 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 0.827 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 0.827 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 0.827 * [taylor]: Taking taylor expansion of 1.0 in k 0.827 * [taylor]: Taking taylor expansion of (log -2.0) in k 0.827 * [taylor]: Taking taylor expansion of -2.0 in k 0.827 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 0.827 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 0.827 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 0.827 * [taylor]: Taking taylor expansion of 1.0 in k 0.827 * [taylor]: Taking taylor expansion of (log PI) in k 0.827 * [taylor]: Taking taylor expansion of PI in k 0.827 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 0.827 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 0.827 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 0.827 * [taylor]: Taking taylor expansion of 1.0 in k 0.827 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 0.827 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 0.827 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 0.827 * [taylor]: Taking taylor expansion of 1.0 in k 0.827 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 0.827 * [taylor]: Taking taylor expansion of (log 1) in k 0.827 * [taylor]: Taking taylor expansion of 1 in k 0.827 * [taylor]: Taking taylor expansion of (log n) in k 0.827 * [taylor]: Taking taylor expansion of n in k 0.832 * [taylor]: Taking taylor expansion of 0 in k 0.840 * [taylor]: Taking taylor expansion of 0 in k 0.850 * [taylor]: Taking taylor expansion of 0 in k 0.851 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 0.852 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 0.852 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.852 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.852 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.852 * [taylor]: Taking taylor expansion of 0.5 in n 0.852 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.852 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.852 * [taylor]: Taking taylor expansion of 2.0 in n 0.852 * [taylor]: Taking taylor expansion of (* n PI) in n 0.852 * [taylor]: Taking taylor expansion of n in n 0.852 * [taylor]: Taking taylor expansion of PI in n 0.852 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 0.852 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 0.852 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 0.852 * [taylor]: Taking taylor expansion of 0.5 in n 0.852 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.852 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.852 * [taylor]: Taking taylor expansion of 2.0 in n 0.852 * [taylor]: Taking taylor expansion of (* n PI) in n 0.852 * [taylor]: Taking taylor expansion of n in n 0.852 * [taylor]: Taking taylor expansion of PI in n 0.861 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 0.861 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 0.861 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 0.862 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 0.862 * [taylor]: Taking taylor expansion of 0.5 in n 0.862 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.862 * [taylor]: Taking taylor expansion of 2.0 in n 0.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.862 * [taylor]: Taking taylor expansion of PI in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.862 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 0.862 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 0.862 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 0.862 * [taylor]: Taking taylor expansion of 0.5 in n 0.862 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.862 * [taylor]: Taking taylor expansion of 2.0 in n 0.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.862 * [taylor]: Taking taylor expansion of PI in n 0.862 * [taylor]: Taking taylor expansion of n in n 0.869 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 0.870 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 0.870 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 0.870 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 0.870 * [taylor]: Taking taylor expansion of 0.5 in n 0.870 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.870 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.870 * [taylor]: Taking taylor expansion of -2.0 in n 0.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.870 * [taylor]: Taking taylor expansion of PI in n 0.870 * [taylor]: Taking taylor expansion of n in n 0.870 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 0.870 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 0.870 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 0.870 * [taylor]: Taking taylor expansion of 0.5 in n 0.870 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.870 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.870 * [taylor]: Taking taylor expansion of -2.0 in n 0.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.870 * [taylor]: Taking taylor expansion of PI in n 0.870 * [taylor]: Taking taylor expansion of n in n 0.878 * * * [progress]: simplifying candidates 0.885 * [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)) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (+ (log PI) (+ (log 2.0) (log n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (+ (log PI) (log (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (* (log (* PI (* 2.0 n))) (/ k 2.0))) (log (sqrt k))) (- (- (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (log (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (- (log (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (sqrt k))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (exp (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (/ (/ (* (* (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (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 (* 2.0 n)) (/ k 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ 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)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (cbrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k)))) (cbrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (* (* (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k)) (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (sqrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (sqrt (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (sqrt k))) (neg (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (neg (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)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (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)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (cbrt 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)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (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)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt 1)) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 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)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (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)) (pow (* PI (* 2.0 n)) (/ k 2.0))))) 1) (/ (cbrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt k)) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (cbrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (cbrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt 1)) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt k)) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) 1) (/ (sqrt (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (sqrt k)) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (cbrt (sqrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (sqrt (cbrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (sqrt (sqrt k))) (/ (/ (pow PI (/ 1.0 2.0)) (pow PI (/ k 2.0))) (sqrt 1)) (/ (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (sqrt k)) (/ (/ (pow PI (/ 1.0 2.0)) 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2.0)) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 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)) (* (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 PI (/ 1.0 2.0)) (pow (* 2.0 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 (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 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) (+ (/ NAN (* k (pow (* PI (* 2.0 n)) (* k 0.5)))) (/ (pow NAN 3) (* k (* k (pow (* PI (* 2.0 n)) (* k 0.5)))))))) (* (pow (* (/ (pow -2.0 1.0) (pow (* (pow 1 1.0) (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 (neg (* k (* 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)))) 0.969 * * * [progress]: adding candidates to table 1.667 * * [progress]: iteration 3 / 4 1.667 * * * [progress]: picking best candidate 1.695 * * * * [pick]: Picked # 1.695 * * * [progress]: localizing error 1.715 * * * [progress]: generating rewritten candidates 1.715 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 1.721 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 1) 1.725 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1 1) 1.730 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.756 * * * [progress]: generating series expansions 1.756 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 1.756 * [approximate]: Taking taylor expansion of (* (sqrt k) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in (k n) around 0 1.757 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 1.757 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.757 * [taylor]: Taking taylor expansion of k in n 1.757 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 1.757 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 1.757 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.757 * [taylor]: Taking taylor expansion of 0.5 in n 1.757 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.757 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.757 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 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 1.757 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 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 2.0 1.0) in n 1.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.757 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.757 * [taylor]: Taking taylor expansion of 1.0 in n 1.757 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.757 * [taylor]: Taking taylor expansion of 2.0 in n 1.758 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 1.758 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.758 * [taylor]: Taking taylor expansion of k in k 1.758 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in k 1.758 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in k 1.759 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.759 * [taylor]: Taking taylor expansion of 0.5 in k 1.759 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.759 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.759 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.759 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.759 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.759 * [taylor]: Taking taylor expansion of 1.0 in k 1.759 * [taylor]: Taking taylor expansion of (log PI) in k 1.759 * [taylor]: Taking taylor expansion of PI in k 1.759 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.759 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.759 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.759 * [taylor]: Taking taylor expansion of 1.0 in k 1.759 * [taylor]: Taking taylor expansion of (log n) in k 1.759 * [taylor]: Taking taylor expansion of n in k 1.759 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.759 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.759 * [taylor]: Taking taylor expansion of 1.0 in k 1.759 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.759 * [taylor]: Taking taylor expansion of 2.0 in k 1.760 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 1.760 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.760 * [taylor]: Taking taylor expansion of k in k 1.760 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow 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 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 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 n 1.0) (pow 2.0 1.0))))) in k 1.760 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.760 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 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 n 1.0) (pow 2.0 1.0)) in k 1.760 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.761 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.761 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.761 * [taylor]: Taking taylor expansion of 1.0 in k 1.761 * [taylor]: Taking taylor expansion of (log n) in k 1.761 * [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 1.762 * [taylor]: Taking taylor expansion of 0 in n 1.764 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) NAN) in n 1.764 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 1.764 * [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 1.764 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.765 * [taylor]: Taking taylor expansion of 0.5 in n 1.765 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.765 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.765 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.765 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.765 * [taylor]: Taking taylor expansion of 1.0 in n 1.765 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.765 * [taylor]: Taking taylor expansion of 2.0 in n 1.765 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.765 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.765 * [taylor]: Taking taylor expansion of 1.0 in n 1.765 * [taylor]: Taking taylor expansion of (log n) in n 1.765 * [taylor]: Taking taylor expansion of n in n 1.765 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.765 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.765 * [taylor]: Taking taylor expansion of 1.0 in n 1.765 * [taylor]: Taking taylor expansion of (log PI) in n 1.765 * [taylor]: Taking taylor expansion of PI in n 1.766 * [taylor]: Taking taylor expansion of NAN in n 1.770 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 1.770 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.770 * [taylor]: Taking taylor expansion of NAN in n 1.770 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 1.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 1.770 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.770 * [taylor]: Taking taylor expansion of 0.5 in n 1.770 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.770 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.770 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.770 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.770 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.770 * [taylor]: Taking taylor expansion of 1.0 in n 1.770 * [taylor]: Taking taylor expansion of (log PI) in n 1.770 * [taylor]: Taking taylor expansion of PI in n 1.770 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.770 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.770 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.770 * [taylor]: Taking taylor expansion of 1.0 in n 1.771 * [taylor]: Taking taylor expansion of (log n) in n 1.771 * [taylor]: Taking taylor expansion of n in n 1.771 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.771 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.771 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.771 * [taylor]: Taking taylor expansion of 1.0 in n 1.771 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.771 * [taylor]: Taking taylor expansion of 2.0 in n 1.779 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow NAN 5)) in n 1.779 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 1.779 * [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 1.779 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.779 * [taylor]: Taking taylor expansion of 0.5 in n 1.780 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.780 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.780 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.780 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.780 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.780 * [taylor]: Taking taylor expansion of 1.0 in n 1.780 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.780 * [taylor]: Taking taylor expansion of 2.0 in n 1.780 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.780 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.780 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.780 * [taylor]: Taking taylor expansion of 1.0 in n 1.780 * [taylor]: Taking taylor expansion of (log n) in n 1.780 * [taylor]: Taking taylor expansion of n in n 1.780 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.780 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.780 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.780 * [taylor]: Taking taylor expansion of 1.0 in n 1.780 * [taylor]: Taking taylor expansion of (log PI) in n 1.780 * [taylor]: Taking taylor expansion of PI in n 1.781 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.781 * [taylor]: Taking taylor expansion of NAN in n 1.783 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) in (k n) around 0 1.783 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) in n 1.783 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.783 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.783 * [taylor]: Taking taylor expansion of k in n 1.783 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 1.783 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 1.783 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 1.783 * [taylor]: Taking taylor expansion of 0.5 in n 1.783 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 1.783 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 1.783 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.784 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.784 * [taylor]: Taking taylor expansion of 1.0 in n 1.784 * [taylor]: Taking taylor expansion of (log n) in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.784 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.784 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.784 * [taylor]: Taking taylor expansion of 1.0 in n 1.784 * [taylor]: Taking taylor expansion of (log PI) in n 1.784 * [taylor]: Taking taylor expansion of PI in n 1.784 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.784 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.784 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.784 * [taylor]: Taking taylor expansion of 1.0 in n 1.784 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.784 * [taylor]: Taking taylor expansion of 2.0 in n 1.785 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) in k 1.785 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.785 * [taylor]: Taking taylor expansion of k in k 1.785 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 1.785 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 1.785 * [taylor]: Taking taylor expansion of 0.5 in k 1.785 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 1.785 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 1.785 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.785 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.785 * [taylor]: Taking taylor expansion of 1.0 in k 1.785 * [taylor]: Taking taylor expansion of (log n) in k 1.785 * [taylor]: Taking taylor expansion of n in k 1.785 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.785 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.785 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.785 * [taylor]: Taking taylor expansion of 1.0 in k 1.785 * [taylor]: Taking taylor expansion of (log PI) in k 1.785 * [taylor]: Taking taylor expansion of PI in k 1.785 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.785 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.785 * [taylor]: Taking taylor expansion of 1.0 in k 1.786 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.786 * [taylor]: Taking taylor expansion of 2.0 in k 1.786 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) in k 1.786 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.786 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.786 * [taylor]: Taking taylor expansion of k in k 1.786 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 1.787 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 1.787 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 1.787 * [taylor]: Taking taylor expansion of 0.5 in k 1.787 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 1.787 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 1.787 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.787 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.787 * [taylor]: Taking taylor expansion of 1.0 in k 1.787 * [taylor]: Taking taylor expansion of (log n) in k 1.787 * [taylor]: Taking taylor expansion of n in k 1.787 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.787 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.787 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.787 * [taylor]: Taking taylor expansion of 1.0 in k 1.787 * [taylor]: Taking taylor expansion of (log PI) in k 1.787 * [taylor]: Taking taylor expansion of PI in k 1.787 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.787 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.787 * [taylor]: Taking taylor expansion of 1.0 in k 1.787 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.787 * [taylor]: Taking taylor expansion of 2.0 in k 1.788 * [taylor]: Taking taylor expansion of 0 in n 1.790 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) NAN) in n 1.790 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in n 1.790 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in n 1.790 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in n 1.790 * [taylor]: Taking taylor expansion of 0.5 in n 1.790 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in n 1.790 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in n 1.790 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.790 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.790 * [taylor]: Taking taylor expansion of 1.0 in n 1.790 * [taylor]: Taking taylor expansion of (log n) in n 1.790 * [taylor]: Taking taylor expansion of n in n 1.791 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.791 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.791 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.791 * [taylor]: Taking taylor expansion of 1.0 in n 1.791 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.791 * [taylor]: Taking taylor expansion of 2.0 in n 1.791 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.791 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.791 * [taylor]: Taking taylor expansion of 1.0 in n 1.791 * [taylor]: Taking taylor expansion of (log PI) in n 1.791 * [taylor]: Taking taylor expansion of PI in n 1.792 * [taylor]: Taking taylor expansion of NAN in n 1.796 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) in n 1.796 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.796 * [taylor]: Taking taylor expansion of NAN in n 1.796 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 1.796 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 1.796 * [taylor]: Taking taylor expansion of 0.5 in n 1.796 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 1.796 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 1.796 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (log n) in n 1.796 * [taylor]: Taking taylor expansion of n in n 1.796 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.796 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (log PI) in n 1.796 * [taylor]: Taking taylor expansion of PI in n 1.796 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.796 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.796 * [taylor]: Taking taylor expansion of 1.0 in n 1.796 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.796 * [taylor]: Taking taylor expansion of 2.0 in n 1.804 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 1.804 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in n 1.804 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in n 1.804 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in n 1.804 * [taylor]: Taking taylor expansion of 0.5 in n 1.804 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in n 1.804 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in n 1.804 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.804 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.804 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.804 * [taylor]: Taking taylor expansion of 1.0 in n 1.804 * [taylor]: Taking taylor expansion of (log n) in n 1.804 * [taylor]: Taking taylor expansion of n in n 1.805 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.805 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.805 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.805 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.805 * [taylor]: Taking taylor expansion of 1.0 in n 1.805 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.805 * [taylor]: Taking taylor expansion of 2.0 in n 1.805 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.805 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.805 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.805 * [taylor]: Taking taylor expansion of 1.0 in n 1.805 * [taylor]: Taking taylor expansion of (log PI) in n 1.805 * [taylor]: Taking taylor expansion of PI in n 1.806 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.806 * [taylor]: Taking taylor expansion of NAN in n 1.808 * [approximate]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in (k n) around 0 1.808 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 1.808 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.808 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.808 * [taylor]: Taking taylor expansion of -1 in n 1.808 * [taylor]: Taking taylor expansion of k in n 1.808 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 1.808 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 1.808 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 1.808 * [taylor]: Taking taylor expansion of 0.5 in n 1.808 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 1.808 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 1.808 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.808 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.808 * [taylor]: Taking taylor expansion of 1.0 in n 1.808 * [taylor]: Taking taylor expansion of (log n) in n 1.808 * [taylor]: Taking taylor expansion of n in n 1.808 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.808 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.808 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.808 * [taylor]: Taking taylor expansion of 1.0 in n 1.808 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.808 * [taylor]: Taking taylor expansion of -2.0 in n 1.808 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.808 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.808 * [taylor]: Taking taylor expansion of 1.0 in n 1.808 * [taylor]: Taking taylor expansion of (log PI) in n 1.808 * [taylor]: Taking taylor expansion of PI in n 1.809 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 1.809 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.809 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.809 * [taylor]: Taking taylor expansion of -1 in k 1.809 * [taylor]: Taking taylor expansion of k in k 1.809 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 1.809 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 1.809 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 1.809 * [taylor]: Taking taylor expansion of 0.5 in k 1.809 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 1.809 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 1.810 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.810 * [taylor]: Taking taylor expansion of 1.0 in k 1.810 * [taylor]: Taking taylor expansion of (log n) in k 1.810 * [taylor]: Taking taylor expansion of n in k 1.810 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.810 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.810 * [taylor]: Taking taylor expansion of 1.0 in k 1.810 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.810 * [taylor]: Taking taylor expansion of -2.0 in k 1.810 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.810 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.810 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.810 * [taylor]: Taking taylor expansion of 1.0 in k 1.810 * [taylor]: Taking taylor expansion of (log PI) in k 1.810 * [taylor]: Taking taylor expansion of PI in k 1.811 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 1.811 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.811 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.811 * [taylor]: Taking taylor expansion of -1 in k 1.811 * [taylor]: Taking taylor expansion of k in k 1.811 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 1.811 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 1.811 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 1.811 * [taylor]: Taking taylor expansion of 0.5 in k 1.811 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 1.811 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 1.811 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.811 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.811 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.811 * [taylor]: Taking taylor expansion of 1.0 in k 1.811 * [taylor]: Taking taylor expansion of (log n) in k 1.811 * [taylor]: Taking taylor expansion of n in k 1.811 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.811 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.811 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.811 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.811 * [taylor]: Taking taylor expansion of 1.0 in k 1.811 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.811 * [taylor]: Taking taylor expansion of -2.0 in k 1.811 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.811 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.811 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.811 * [taylor]: Taking taylor expansion of 1.0 in k 1.811 * [taylor]: Taking taylor expansion of (log PI) in k 1.811 * [taylor]: Taking taylor expansion of PI in k 1.813 * [taylor]: Taking taylor expansion of 0 in n 1.815 * [taylor]: Taking taylor expansion of (* NAN (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 NAN 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 1.820 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 1.820 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 1.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 1.820 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 1.820 * [taylor]: Taking taylor expansion of 0.5 in n 1.820 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 1.820 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 1.820 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.820 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.820 * [taylor]: Taking taylor expansion of 1.0 in n 1.820 * [taylor]: Taking taylor expansion of (log n) in n 1.820 * [taylor]: Taking taylor expansion of n in n 1.820 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.820 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.820 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.820 * [taylor]: Taking taylor expansion of 1.0 in n 1.820 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.820 * [taylor]: Taking taylor expansion of -2.0 in n 1.820 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.820 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.820 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.820 * [taylor]: Taking taylor expansion of 1.0 in n 1.820 * [taylor]: Taking taylor expansion of (log PI) in n 1.820 * [taylor]: Taking taylor expansion of PI in n 1.825 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 1.825 * [taylor]: Taking taylor expansion of NAN in n 1.832 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 1.833 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 1.833 * [taylor]: Taking taylor expansion of NAN in n 1.833 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 1.833 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 1.833 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 1.833 * [taylor]: Taking taylor expansion of 0.5 in n 1.833 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 1.833 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 1.833 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.833 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.833 * [taylor]: Taking taylor expansion of 1.0 in n 1.833 * [taylor]: Taking taylor expansion of (log n) in n 1.833 * [taylor]: Taking taylor expansion of n in n 1.833 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.833 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.833 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.833 * [taylor]: Taking taylor expansion of 1.0 in n 1.833 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.833 * [taylor]: Taking taylor expansion of -2.0 in n 1.833 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.833 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.833 * [taylor]: Taking taylor expansion of 1.0 in n 1.833 * [taylor]: Taking taylor expansion of (log PI) in n 1.833 * [taylor]: Taking taylor expansion of PI in n 1.836 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 1) 1.836 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.836 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.836 * [taylor]: Taking taylor expansion of 2.0 in n 1.836 * [taylor]: Taking taylor expansion of (* n PI) in n 1.836 * [taylor]: Taking taylor expansion of n in n 1.836 * [taylor]: Taking taylor expansion of PI in n 1.836 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.836 * [taylor]: Taking taylor expansion of 2.0 in n 1.836 * [taylor]: Taking taylor expansion of (* n PI) in n 1.836 * [taylor]: Taking taylor expansion of n in n 1.836 * [taylor]: Taking taylor expansion of PI in n 1.837 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.837 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.837 * [taylor]: Taking taylor expansion of 2.0 in n 1.837 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.837 * [taylor]: Taking taylor expansion of PI in n 1.837 * [taylor]: Taking taylor expansion of n in n 1.837 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.837 * [taylor]: Taking taylor expansion of 2.0 in n 1.837 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.837 * [taylor]: Taking taylor expansion of PI in n 1.837 * [taylor]: Taking taylor expansion of n in n 1.838 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.838 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.838 * [taylor]: Taking taylor expansion of -2.0 in n 1.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.838 * [taylor]: Taking taylor expansion of PI in n 1.838 * [taylor]: Taking taylor expansion of n in n 1.838 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.838 * [taylor]: Taking taylor expansion of -2.0 in n 1.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.838 * [taylor]: Taking taylor expansion of PI in n 1.838 * [taylor]: Taking taylor expansion of n in n 1.839 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1 1) 1.839 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.839 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.839 * [taylor]: Taking taylor expansion of 2.0 in n 1.839 * [taylor]: Taking taylor expansion of (* n PI) in n 1.839 * [taylor]: Taking taylor expansion of n in n 1.839 * [taylor]: Taking taylor expansion of PI in n 1.839 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.839 * [taylor]: Taking taylor expansion of 2.0 in n 1.839 * [taylor]: Taking taylor expansion of (* n PI) in n 1.839 * [taylor]: Taking taylor expansion of n in n 1.839 * [taylor]: Taking taylor expansion of PI in n 1.840 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.840 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.840 * [taylor]: Taking taylor expansion of 2.0 in n 1.840 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.840 * [taylor]: Taking taylor expansion of PI in n 1.840 * [taylor]: Taking taylor expansion of n in n 1.840 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.840 * [taylor]: Taking taylor expansion of 2.0 in n 1.840 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.840 * [taylor]: Taking taylor expansion of PI in n 1.840 * [taylor]: Taking taylor expansion of n in n 1.841 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.841 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.841 * [taylor]: Taking taylor expansion of -2.0 in n 1.841 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.841 * [taylor]: Taking taylor expansion of PI in n 1.841 * [taylor]: Taking taylor expansion of n in n 1.841 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.841 * [taylor]: Taking taylor expansion of -2.0 in n 1.841 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.841 * [taylor]: Taking taylor expansion of PI in n 1.841 * [taylor]: Taking taylor expansion of n in n 1.842 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.842 * [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 1.842 * [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 1.842 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.842 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.842 * [taylor]: Taking taylor expansion of k in k 1.843 * [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 1.843 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.843 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.843 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.843 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.843 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.843 * [taylor]: Taking taylor expansion of 0.5 in k 1.843 * [taylor]: Taking taylor expansion of k in k 1.843 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.843 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.843 * [taylor]: Taking taylor expansion of 2.0 in k 1.843 * [taylor]: Taking taylor expansion of (* n PI) in k 1.843 * [taylor]: Taking taylor expansion of n in k 1.843 * [taylor]: Taking taylor expansion of PI in k 1.843 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.843 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.843 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.843 * [taylor]: Taking taylor expansion of 0.5 in k 1.843 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.843 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.843 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.844 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.844 * [taylor]: Taking taylor expansion of 1.0 in k 1.844 * [taylor]: Taking taylor expansion of (log PI) in k 1.844 * [taylor]: Taking taylor expansion of PI in k 1.844 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.844 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.844 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.844 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.844 * [taylor]: Taking taylor expansion of 1.0 in k 1.844 * [taylor]: Taking taylor expansion of (log n) in k 1.844 * [taylor]: Taking taylor expansion of n in k 1.844 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.844 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.844 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.844 * [taylor]: Taking taylor expansion of 1.0 in k 1.844 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.844 * [taylor]: Taking taylor expansion of 2.0 in k 1.845 * [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 1.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.845 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.845 * [taylor]: Taking taylor expansion of k in n 1.845 * [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 1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.845 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.845 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.845 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.845 * [taylor]: Taking taylor expansion of 0.5 in n 1.845 * [taylor]: Taking taylor expansion of k in n 1.845 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.845 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.845 * [taylor]: Taking taylor expansion of 2.0 in n 1.845 * [taylor]: Taking taylor expansion of (* n PI) in n 1.845 * [taylor]: Taking taylor expansion of n in n 1.845 * [taylor]: Taking taylor expansion of PI in n 1.845 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.846 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.846 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.846 * [taylor]: Taking taylor expansion of 0.5 in n 1.846 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.846 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.846 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.846 * [taylor]: Taking taylor expansion of 1.0 in n 1.846 * [taylor]: Taking taylor expansion of (log PI) in n 1.846 * [taylor]: Taking taylor expansion of PI in n 1.846 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.846 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.846 * [taylor]: Taking taylor expansion of 1.0 in n 1.846 * [taylor]: Taking taylor expansion of (log n) in n 1.846 * [taylor]: Taking taylor expansion of n in n 1.846 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.846 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.846 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.846 * [taylor]: Taking taylor expansion of 1.0 in n 1.846 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.846 * [taylor]: Taking taylor expansion of 2.0 in n 1.847 * [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 1.847 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.847 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.847 * [taylor]: Taking taylor expansion of k in n 1.847 * [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 1.847 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.847 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.847 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.847 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.847 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.847 * [taylor]: Taking taylor expansion of 0.5 in n 1.847 * [taylor]: Taking taylor expansion of k in n 1.847 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.847 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.847 * [taylor]: Taking taylor expansion of 2.0 in n 1.847 * [taylor]: Taking taylor expansion of (* n PI) in n 1.847 * [taylor]: Taking taylor expansion of n in n 1.847 * [taylor]: Taking taylor expansion of PI in n 1.848 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.848 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.848 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.848 * [taylor]: Taking taylor expansion of 0.5 in n 1.848 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.848 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.848 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.848 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.848 * [taylor]: Taking taylor expansion of 1.0 in n 1.848 * [taylor]: Taking taylor expansion of (log PI) in n 1.848 * [taylor]: Taking taylor expansion of PI in n 1.848 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.848 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.848 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.848 * [taylor]: Taking taylor expansion of 1.0 in n 1.848 * [taylor]: Taking taylor expansion of (log n) in n 1.848 * [taylor]: Taking taylor expansion of n in n 1.848 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.848 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.848 * [taylor]: Taking taylor expansion of 1.0 in n 1.848 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.848 * [taylor]: Taking taylor expansion of 2.0 in n 1.850 * [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 1.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.850 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.850 * [taylor]: Taking taylor expansion of k in k 1.850 * [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 1.850 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.850 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.850 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.850 * [taylor]: Taking taylor expansion of 0.5 in k 1.850 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.850 * [taylor]: Taking taylor expansion of k in k 1.850 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.850 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.850 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.850 * [taylor]: Taking taylor expansion of 2.0 in k 1.850 * [taylor]: Taking taylor expansion of PI in k 1.850 * [taylor]: Taking taylor expansion of (log n) in k 1.850 * [taylor]: Taking taylor expansion of n in k 1.851 * [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 1.851 * [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 1.851 * [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 1.851 * [taylor]: Taking taylor expansion of 0.5 in k 1.851 * [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 1.851 * [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 1.851 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.851 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.851 * [taylor]: Taking taylor expansion of 1.0 in k 1.851 * [taylor]: Taking taylor expansion of (log PI) in k 1.851 * [taylor]: Taking taylor expansion of PI in k 1.851 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.851 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.851 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.851 * [taylor]: Taking taylor expansion of 1.0 in k 1.851 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.851 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.851 * [taylor]: Taking taylor expansion of 1.0 in k 1.851 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.851 * [taylor]: Taking taylor expansion of (log 1) in k 1.851 * [taylor]: Taking taylor expansion of 1 in k 1.851 * [taylor]: Taking taylor expansion of (log n) in k 1.851 * [taylor]: Taking taylor expansion of n in k 1.851 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.851 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.852 * [taylor]: Taking taylor expansion of 1.0 in k 1.852 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.852 * [taylor]: Taking taylor expansion of 2.0 in k 1.855 * [taylor]: Taking taylor expansion of 0 in k 1.863 * [taylor]: Taking taylor expansion of 0 in k 1.876 * [taylor]: Taking taylor expansion of 0 in k 1.897 * [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 1.897 * [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 1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.897 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.897 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.897 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.897 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.897 * [taylor]: Taking taylor expansion of 0.5 in k 1.897 * [taylor]: Taking taylor expansion of k in k 1.897 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.897 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.897 * [taylor]: Taking taylor expansion of 2.0 in k 1.897 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.897 * [taylor]: Taking taylor expansion of PI in k 1.897 * [taylor]: Taking taylor expansion of n in k 1.897 * [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 1.897 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.897 * [taylor]: Taking taylor expansion of k in k 1.897 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.898 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.898 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.898 * [taylor]: Taking taylor expansion of 0.5 in k 1.898 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.898 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.898 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.898 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.898 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.898 * [taylor]: Taking taylor expansion of 1.0 in k 1.898 * [taylor]: Taking taylor expansion of (log PI) in k 1.898 * [taylor]: Taking taylor expansion of PI in k 1.898 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.898 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.898 * [taylor]: Taking taylor expansion of 1.0 in k 1.898 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.898 * [taylor]: Taking taylor expansion of 2.0 in k 1.898 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.898 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.898 * [taylor]: Taking taylor expansion of 1.0 in k 1.898 * [taylor]: Taking taylor expansion of (log n) in k 1.898 * [taylor]: Taking taylor expansion of n in k 1.899 * [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 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.899 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.899 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.899 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.899 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.899 * [taylor]: Taking taylor expansion of 0.5 in n 1.899 * [taylor]: Taking taylor expansion of k in n 1.899 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.899 * [taylor]: Taking taylor expansion of 2.0 in n 1.899 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.899 * [taylor]: Taking taylor expansion of PI in n 1.899 * [taylor]: Taking taylor expansion of n in n 1.899 * [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 1.899 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.900 * [taylor]: Taking taylor expansion of k in n 1.900 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.900 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.900 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.900 * [taylor]: Taking taylor expansion of 0.5 in n 1.900 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.900 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.900 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.900 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.900 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.900 * [taylor]: Taking taylor expansion of 1.0 in n 1.900 * [taylor]: Taking taylor expansion of (log PI) in n 1.900 * [taylor]: Taking taylor expansion of PI in n 1.900 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.900 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.900 * [taylor]: Taking taylor expansion of 1.0 in n 1.900 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.900 * [taylor]: Taking taylor expansion of 2.0 in n 1.900 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.900 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.900 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.900 * [taylor]: Taking taylor expansion of 1.0 in n 1.900 * [taylor]: Taking taylor expansion of (log n) in n 1.900 * [taylor]: Taking taylor expansion of n in n 1.901 * [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 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.901 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.901 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.901 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.901 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.901 * [taylor]: Taking taylor expansion of 0.5 in n 1.901 * [taylor]: Taking taylor expansion of k in n 1.901 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.901 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.901 * [taylor]: Taking taylor expansion of 2.0 in n 1.901 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.901 * [taylor]: Taking taylor expansion of PI in n 1.901 * [taylor]: Taking taylor expansion of n in n 1.902 * [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 1.902 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.902 * [taylor]: Taking taylor expansion of k in n 1.902 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 1.902 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 1.902 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 1.902 * [taylor]: Taking taylor expansion of 0.5 in n 1.902 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 1.902 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 1.902 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 1.902 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.902 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.902 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of (log PI) in n 1.902 * [taylor]: Taking taylor expansion of PI in n 1.902 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.902 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.902 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.902 * [taylor]: Taking taylor expansion of 2.0 in n 1.902 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.902 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.902 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.902 * [taylor]: Taking taylor expansion of 1.0 in n 1.902 * [taylor]: Taking taylor expansion of (log n) in n 1.902 * [taylor]: Taking taylor expansion of n in n 1.904 * [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 1.904 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.904 * [taylor]: Taking taylor expansion of k in k 1.904 * [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 1.904 * [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 1.904 * [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 1.904 * [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 1.904 * [taylor]: Taking taylor expansion of 0.5 in k 1.904 * [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 1.904 * [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 1.904 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.904 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.904 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.904 * [taylor]: Taking taylor expansion of 1.0 in k 1.904 * [taylor]: Taking taylor expansion of (log PI) in k 1.904 * [taylor]: Taking taylor expansion of PI in k 1.904 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.904 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.904 * [taylor]: Taking taylor expansion of 1.0 in k 1.904 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.904 * [taylor]: Taking taylor expansion of 2.0 in k 1.904 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.904 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.904 * [taylor]: Taking taylor expansion of 1.0 in k 1.904 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.904 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.904 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.904 * [taylor]: Taking taylor expansion of 1.0 in k 1.905 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.905 * [taylor]: Taking taylor expansion of (log 1) in k 1.905 * [taylor]: Taking taylor expansion of 1 in k 1.905 * [taylor]: Taking taylor expansion of (log n) in k 1.905 * [taylor]: Taking taylor expansion of n in k 1.906 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.906 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.906 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.906 * [taylor]: Taking taylor expansion of 0.5 in k 1.906 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.906 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.906 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.906 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.906 * [taylor]: Taking taylor expansion of 2.0 in k 1.906 * [taylor]: Taking taylor expansion of PI in k 1.906 * [taylor]: Taking taylor expansion of (log n) in k 1.906 * [taylor]: Taking taylor expansion of n in k 1.906 * [taylor]: Taking taylor expansion of k in k 1.910 * [taylor]: Taking taylor expansion of 0 in k 1.919 * [taylor]: Taking taylor expansion of 0 in k 1.929 * [taylor]: Taking taylor expansion of 0 in k 1.937 * [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 1.937 * [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 1.937 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.937 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.937 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.937 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.937 * [taylor]: Taking taylor expansion of -1 in k 1.937 * [taylor]: Taking taylor expansion of k in k 1.937 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.937 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.937 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.937 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.937 * [taylor]: Taking taylor expansion of -0.5 in k 1.937 * [taylor]: Taking taylor expansion of k in k 1.937 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.937 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.937 * [taylor]: Taking taylor expansion of -2.0 in k 1.937 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.937 * [taylor]: Taking taylor expansion of PI in k 1.937 * [taylor]: Taking taylor expansion of n in k 1.938 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.938 * [taylor]: Taking taylor expansion of 0.5 in k 1.938 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.938 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.938 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.938 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.938 * [taylor]: Taking taylor expansion of 1.0 in k 1.938 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.938 * [taylor]: Taking taylor expansion of -2.0 in k 1.938 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.938 * [taylor]: Taking taylor expansion of 1.0 in k 1.938 * [taylor]: Taking taylor expansion of (log PI) in k 1.938 * [taylor]: Taking taylor expansion of PI in k 1.938 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.938 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.938 * [taylor]: Taking taylor expansion of 1.0 in k 1.938 * [taylor]: Taking taylor expansion of (log n) in k 1.938 * [taylor]: Taking taylor expansion of n in k 1.939 * [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 1.939 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.939 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.939 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.939 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.939 * [taylor]: Taking taylor expansion of -1 in n 1.939 * [taylor]: Taking taylor expansion of k in n 1.939 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.939 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.939 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.939 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.939 * [taylor]: Taking taylor expansion of -0.5 in n 1.939 * [taylor]: Taking taylor expansion of k in n 1.940 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.940 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.940 * [taylor]: Taking taylor expansion of -2.0 in n 1.940 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.940 * [taylor]: Taking taylor expansion of PI in n 1.940 * [taylor]: Taking taylor expansion of n in n 1.940 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.940 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.940 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.940 * [taylor]: Taking taylor expansion of 0.5 in n 1.940 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.940 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.940 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.940 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.940 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.940 * [taylor]: Taking taylor expansion of 1.0 in n 1.940 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.940 * [taylor]: Taking taylor expansion of -2.0 in n 1.940 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.940 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.940 * [taylor]: Taking taylor expansion of 1.0 in n 1.940 * [taylor]: Taking taylor expansion of (log PI) in n 1.940 * [taylor]: Taking taylor expansion of PI in n 1.940 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.941 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.941 * [taylor]: Taking taylor expansion of 1.0 in n 1.941 * [taylor]: Taking taylor expansion of (log n) in n 1.941 * [taylor]: Taking taylor expansion of n in n 1.941 * [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 1.942 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.942 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.942 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.942 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.942 * [taylor]: Taking taylor expansion of -1 in n 1.942 * [taylor]: Taking taylor expansion of k in n 1.942 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.942 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.942 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.942 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.942 * [taylor]: Taking taylor expansion of -0.5 in n 1.942 * [taylor]: Taking taylor expansion of k in n 1.942 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.942 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.942 * [taylor]: Taking taylor expansion of -2.0 in n 1.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.942 * [taylor]: Taking taylor expansion of PI in n 1.942 * [taylor]: Taking taylor expansion of n in n 1.942 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.942 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.942 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.942 * [taylor]: Taking taylor expansion of 0.5 in n 1.942 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.942 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.942 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.943 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.943 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.943 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.943 * [taylor]: Taking taylor expansion of 1.0 in n 1.943 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.943 * [taylor]: Taking taylor expansion of -2.0 in n 1.943 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.943 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.943 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.943 * [taylor]: Taking taylor expansion of 1.0 in n 1.943 * [taylor]: Taking taylor expansion of (log PI) in n 1.943 * [taylor]: Taking taylor expansion of PI in n 1.943 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.943 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.943 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.943 * [taylor]: Taking taylor expansion of 1.0 in n 1.943 * [taylor]: Taking taylor expansion of (log n) in n 1.943 * [taylor]: Taking taylor expansion of n in n 1.944 * [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 1.944 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.944 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.944 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.945 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.945 * [taylor]: Taking taylor expansion of -0.5 in k 1.945 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.945 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.945 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.945 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.945 * [taylor]: Taking taylor expansion of -2.0 in k 1.945 * [taylor]: Taking taylor expansion of PI in k 1.945 * [taylor]: Taking taylor expansion of (log n) in k 1.945 * [taylor]: Taking taylor expansion of n in k 1.945 * [taylor]: Taking taylor expansion of k in k 1.945 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.945 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.945 * [taylor]: Taking taylor expansion of -1 in k 1.945 * [taylor]: Taking taylor expansion of k in k 1.945 * [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 1.945 * [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 1.945 * [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 1.945 * [taylor]: Taking taylor expansion of 0.5 in k 1.945 * [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 1.945 * [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 1.945 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.945 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.945 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.946 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.946 * [taylor]: Taking taylor expansion of 1.0 in k 1.946 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.946 * [taylor]: Taking taylor expansion of -2.0 in k 1.946 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.946 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.946 * [taylor]: Taking taylor expansion of 1.0 in k 1.946 * [taylor]: Taking taylor expansion of (log PI) in k 1.946 * [taylor]: Taking taylor expansion of PI in k 1.946 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.946 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.946 * [taylor]: Taking taylor expansion of 1.0 in k 1.946 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.946 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.946 * [taylor]: Taking taylor expansion of 1.0 in k 1.946 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.946 * [taylor]: Taking taylor expansion of (log 1) in k 1.946 * [taylor]: Taking taylor expansion of 1 in k 1.946 * [taylor]: Taking taylor expansion of (log n) in k 1.946 * [taylor]: Taking taylor expansion of n in k 1.951 * [taylor]: Taking taylor expansion of 0 in k 1.958 * [taylor]: Taking taylor expansion of 0 in k 1.968 * [taylor]: Taking taylor expansion of 0 in k 1.969 * * * [progress]: simplifying candidates 1.973 * [simplify]: Simplifying using # : (- (log (sqrt k)) (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0))) (- (log (sqrt k)) (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0))) (- (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0))) (- (log (sqrt k)) (* (log (* PI (* 2.0 n))) (/ 1.0 2.0))) (- (log (sqrt k)) (log (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (log (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (exp (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (* (cbrt (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (cbrt (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))))) (cbrt (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (* (* (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (sqrt (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (sqrt (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (neg (sqrt k)) (neg (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ 1.0 2.0))) (/ (cbrt (sqrt k)) (pow (* 2.0 n) (/ 1.0 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (/ (cbrt (sqrt k)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2))) (/ (cbrt (sqrt k)) (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow PI (/ 1.0 2.0))) (/ (sqrt (cbrt k)) (pow (* 2.0 n) (/ 1.0 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))))) (/ (sqrt (cbrt k)) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt (* (cbrt k) (cbrt k))) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt (cbrt k)) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt (* (cbrt k) (cbrt k))) 1) (/ (sqrt (cbrt k)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2))) (/ (sqrt (cbrt k)) (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2))) (/ (sqrt (sqrt k)) (pow PI (/ 1.0 2.0))) (/ (sqrt (sqrt k)) (pow (* 2.0 n) (/ 1.0 2.0))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt (sqrt k)) 1) (/ (sqrt (sqrt k)) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (/ (sqrt (sqrt k)) (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2))) (/ (sqrt 1) (pow PI (/ 1.0 2.0))) (/ (sqrt k) (pow (* 2.0 n) (/ 1.0 2.0))) (/ (sqrt 1) (* (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0))))) (/ (sqrt k) (cbrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt 1) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* PI (* 2.0 n)) (/ 1.0 2.0)))) (/ (sqrt 1) 1) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (/ (sqrt 1) (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2))) (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ (/ 1.0 2.0) 2))) (/ (sqrt (sqrt k)) (pow PI (/ 1.0 2.0))) (/ (sqrt (sqrt k)) (pow (* 2.0 n) (/ 1.0 2.0))) (/ (sqrt (sqrt k)) (* (cbrt (pow 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n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (log (/ (/ (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (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) (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)))) -1 (* (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (neg (pow (* PI (* 2.0 n)) (/ k 2.0)))) (* (/ (cbrt 1) (pow (* PI (* 2.0 n)) (/ k 2.0))) (cbrt 1)) (* (pow (* PI (* 2.0 n)) (/ 1.0 2.0)) (/ (cbrt 1) (sqrt k))) (/ 1 (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ (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)) (sqrt k)) (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ 1 (pow (* PI (* 2.0 n)) (/ k 2.0))) (* (/ (pow (* PI (* 2.0 n)) (/ k 2.0)) (cbrt 1)) (/ (sqrt k) (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))) (* (/ (sqrt k) (pow (* PI (* 2.0 n)) (/ 1.0 2.0))) (pow (* PI (* 2.0 n)) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* PI (* 2.0 n)) (/ k 2.0)))) (+ (* k (* k (* (pow NAN 3) (pow (/ 1 (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5)))) (* (pow (/ 1 (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) 0.5) (+ (* (pow k 3) (pow NAN 5)) (* k NAN)))) (* (pow (/ (pow (/ 1 (pow n 1.0)) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ NAN (+ (/ (pow NAN 3) k) (/ (pow NAN 5) (* k k))))) (+ (* NAN (pow (/ (pow (* (pow 1 1.0) (pow (/ -1 n) 1.0)) 1.0) (* (pow PI 1.0) (pow -2.0 1.0))) 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) (- (/ (pow NAN 5) (* k k)) (/ (pow NAN 3) k)))) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (* (* 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))) 0.125)) (+ (* (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 (* NAN (log (* PI 2.0)))) (* k (* k (* (log n) (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 (* k (* (log n) NAN))) (* 0.5 (* k (* k (* (pow NAN 3) (log (* PI 2.0)))))))))))) (+ (* (/ (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 1.0) (pow (/ -1 n) 1.0)) 1.0)) (pow PI 1.0)) 0.5) (+ (/ NAN (* k (pow (exp 0.5) (* k (- (log (* PI -2.0)) (log (/ -1 n))))))) (/ (exp (* k (neg (* (- (log (* PI -2.0)) (log (/ -1 n))) 0.5)))) NAN))) 2.019 * * * [progress]: adding candidates to table 2.235 * * [progress]: iteration 4 / 4 2.235 * * * [progress]: picking best candidate 2.262 * * * * [pick]: Picked # 2.262 * * * [progress]: localizing error 2.284 * * * [progress]: generating rewritten candidates 2.284 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1 1) 2.289 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 2.297 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 2.303 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 2.313 * * * [progress]: generating series expansions 2.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1 1) 2.313 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.313 * [taylor]: Taking taylor expansion of 2.0 in n 2.313 * [taylor]: Taking taylor expansion of (* n PI) in n 2.313 * [taylor]: Taking taylor expansion of n in n 2.313 * [taylor]: Taking taylor expansion of PI in n 2.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.313 * [taylor]: Taking taylor expansion of 2.0 in n 2.313 * [taylor]: Taking taylor expansion of (* n PI) in n 2.313 * [taylor]: Taking taylor expansion of n in n 2.313 * [taylor]: Taking taylor expansion of PI in n 2.314 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.314 * [taylor]: Taking taylor expansion of 2.0 in n 2.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.314 * [taylor]: Taking taylor expansion of PI in n 2.314 * [taylor]: Taking taylor expansion of n in n 2.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.314 * [taylor]: Taking taylor expansion of 2.0 in n 2.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.314 * [taylor]: Taking taylor expansion of PI in n 2.314 * [taylor]: Taking taylor expansion of n in n 2.315 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.315 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.315 * [taylor]: Taking taylor expansion of -2.0 in n 2.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.315 * [taylor]: Taking taylor expansion of PI in n 2.315 * [taylor]: Taking taylor expansion of n in n 2.315 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.315 * [taylor]: Taking taylor expansion of -2.0 in n 2.315 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.315 * [taylor]: Taking taylor expansion of PI in n 2.315 * [taylor]: Taking taylor expansion of n in n 2.316 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 2.316 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 n) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in (n k) around 0 2.316 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 n) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 2.316 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.316 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.316 * [taylor]: Taking taylor expansion of k in k 2.317 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 n) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 2.317 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 n) (* 0.5 k))) in k 2.317 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 k)) in k 2.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 n)))) in k 2.317 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 n))) in k 2.317 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.317 * [taylor]: Taking taylor expansion of 0.5 in k 2.317 * [taylor]: Taking taylor expansion of k in k 2.317 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in k 2.317 * [taylor]: Taking taylor expansion of (* 2.0 n) in k 2.317 * [taylor]: Taking taylor expansion of 2.0 in k 2.317 * [taylor]: Taking taylor expansion of n in k 2.317 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.317 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.317 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.317 * [taylor]: Taking taylor expansion of 0.5 in k 2.317 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.317 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.317 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.317 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.317 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.317 * [taylor]: Taking taylor expansion of 1.0 in k 2.317 * [taylor]: Taking taylor expansion of (log PI) in k 2.317 * [taylor]: Taking taylor expansion of PI in k 2.317 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.317 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.317 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.317 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.317 * [taylor]: Taking taylor expansion of 1.0 in k 2.317 * [taylor]: Taking taylor expansion of (log n) in k 2.317 * [taylor]: Taking taylor expansion of n in k 2.318 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.318 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.318 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.318 * [taylor]: Taking taylor expansion of 1.0 in k 2.318 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.318 * [taylor]: Taking taylor expansion of 2.0 in k 2.318 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 n) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.318 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.318 * [taylor]: Taking taylor expansion of k in n 2.319 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 n) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.319 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 n) (* 0.5 k))) in n 2.319 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 k)) in n 2.319 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 n)))) in n 2.319 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 n))) in n 2.319 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.319 * [taylor]: Taking taylor expansion of 0.5 in n 2.319 * [taylor]: Taking taylor expansion of k in n 2.319 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in n 2.319 * [taylor]: Taking taylor expansion of (* 2.0 n) in n 2.319 * [taylor]: Taking taylor expansion of 2.0 in n 2.319 * [taylor]: Taking taylor expansion of n in n 2.319 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.319 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.319 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.319 * [taylor]: Taking taylor expansion of 0.5 in n 2.319 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.319 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.319 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.319 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.319 * [taylor]: Taking taylor expansion of 1.0 in n 2.319 * [taylor]: Taking taylor expansion of (log PI) in n 2.319 * [taylor]: Taking taylor expansion of PI in n 2.319 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.319 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.319 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.319 * [taylor]: Taking taylor expansion of 1.0 in n 2.319 * [taylor]: Taking taylor expansion of (log n) in n 2.319 * [taylor]: Taking taylor expansion of n in n 2.320 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.320 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.320 * [taylor]: Taking taylor expansion of 1.0 in n 2.320 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.320 * [taylor]: Taking taylor expansion of 2.0 in n 2.323 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 n) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.323 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.323 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.323 * [taylor]: Taking taylor expansion of k in n 2.323 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 n) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.323 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 n) (* 0.5 k))) in n 2.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 n) (* 0.5 k)) in n 2.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 n)))) in n 2.323 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 n))) in n 2.323 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.323 * [taylor]: Taking taylor expansion of 0.5 in n 2.323 * [taylor]: Taking taylor expansion of k in n 2.323 * [taylor]: Taking taylor expansion of (log (* 2.0 n)) in n 2.323 * [taylor]: Taking taylor expansion of (* 2.0 n) in n 2.323 * [taylor]: Taking taylor expansion of 2.0 in n 2.323 * [taylor]: Taking taylor expansion of n in n 2.323 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.324 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.324 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.324 * [taylor]: Taking taylor expansion of 0.5 in n 2.324 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.324 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.324 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.324 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.324 * [taylor]: Taking taylor expansion of 1.0 in n 2.324 * [taylor]: Taking taylor expansion of (log PI) in n 2.324 * [taylor]: Taking taylor expansion of PI in n 2.324 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.324 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.324 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.324 * [taylor]: Taking taylor expansion of 1.0 in n 2.324 * [taylor]: Taking taylor expansion of (log n) in n 2.324 * [taylor]: Taking taylor expansion of n in n 2.324 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.324 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.324 * [taylor]: Taking taylor expansion of 1.0 in n 2.324 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.324 * [taylor]: Taking taylor expansion of 2.0 in n 2.326 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log 2.0) (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 2.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.326 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.326 * [taylor]: Taking taylor expansion of k in k 2.326 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log 2.0) (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 2.326 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log 2.0) (log n)))))) in k 2.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log 2.0) (log n))))) in k 2.326 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log 2.0) (log n)))) in k 2.326 * [taylor]: Taking taylor expansion of 0.5 in k 2.326 * [taylor]: Taking taylor expansion of (* k (+ (log 2.0) (log n))) in k 2.326 * [taylor]: Taking taylor expansion of k in k 2.326 * [taylor]: Taking taylor expansion of (+ (log 2.0) (log n)) in k 2.326 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.326 * [taylor]: Taking taylor expansion of 2.0 in k 2.326 * [taylor]: Taking taylor expansion of (log n) in k 2.326 * [taylor]: Taking taylor expansion of n in k 2.326 * [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 2.326 * [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 2.326 * [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 2.326 * [taylor]: Taking taylor expansion of 0.5 in k 2.326 * [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 2.326 * [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 2.326 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.326 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.326 * [taylor]: Taking taylor expansion of 1.0 in k 2.326 * [taylor]: Taking taylor expansion of (log PI) in k 2.326 * [taylor]: Taking taylor expansion of PI in k 2.327 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 2.327 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.327 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.327 * [taylor]: Taking taylor expansion of 1.0 in k 2.327 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.327 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.327 * [taylor]: Taking taylor expansion of 1.0 in k 2.327 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.327 * [taylor]: Taking taylor expansion of (log 1) in k 2.327 * [taylor]: Taking taylor expansion of 1 in k 2.327 * [taylor]: Taking taylor expansion of (log n) in k 2.327 * [taylor]: Taking taylor expansion of n in k 2.327 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.327 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.327 * [taylor]: Taking taylor expansion of 1.0 in k 2.327 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.327 * [taylor]: Taking taylor expansion of 2.0 in k 2.331 * [taylor]: Taking taylor expansion of 0 in k 2.338 * [taylor]: Taking taylor expansion of 0 in k 2.352 * [taylor]: Taking taylor expansion of 0 in k 2.372 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.372 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in k 2.372 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.372 * [taylor]: Taking taylor expansion of k in k 2.372 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in k 2.372 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) in k 2.372 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (/ 0.5 k)) in k 2.372 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 2.0 n)))) in k 2.372 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 2.0 n))) in k 2.372 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.372 * [taylor]: Taking taylor expansion of 0.5 in k 2.372 * [taylor]: Taking taylor expansion of k in k 2.372 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in k 2.372 * [taylor]: Taking taylor expansion of (/ 2.0 n) in k 2.372 * [taylor]: Taking taylor expansion of 2.0 in k 2.372 * [taylor]: Taking taylor expansion of n in k 2.372 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 2.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 2.372 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 2.372 * [taylor]: Taking taylor expansion of 0.5 in k 2.372 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 2.372 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 2.372 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.372 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.372 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.372 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.372 * [taylor]: Taking taylor expansion of 1.0 in k 2.372 * [taylor]: Taking taylor expansion of (log PI) in k 2.372 * [taylor]: Taking taylor expansion of PI in k 2.373 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.373 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.373 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.373 * [taylor]: Taking taylor expansion of 1.0 in k 2.373 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.373 * [taylor]: Taking taylor expansion of 2.0 in k 2.373 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.373 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.373 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.373 * [taylor]: Taking taylor expansion of 1.0 in k 2.373 * [taylor]: Taking taylor expansion of (log n) in k 2.373 * [taylor]: Taking taylor expansion of n in k 2.374 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 2.374 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.374 * [taylor]: Taking taylor expansion of k in n 2.374 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 2.374 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) in n 2.374 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (/ 0.5 k)) in n 2.374 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 2.0 n)))) in n 2.374 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 2.0 n))) in n 2.374 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.374 * [taylor]: Taking taylor expansion of 0.5 in n 2.374 * [taylor]: Taking taylor expansion of k in n 2.374 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in n 2.374 * [taylor]: Taking taylor expansion of (/ 2.0 n) in n 2.374 * [taylor]: Taking taylor expansion of 2.0 in n 2.374 * [taylor]: Taking taylor expansion of n in n 2.374 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.374 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.374 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.374 * [taylor]: Taking taylor expansion of 0.5 in n 2.374 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.374 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.374 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.374 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.374 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.374 * [taylor]: Taking taylor expansion of 1.0 in n 2.374 * [taylor]: Taking taylor expansion of (log PI) in n 2.374 * [taylor]: Taking taylor expansion of PI in n 2.374 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.374 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.375 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.375 * [taylor]: Taking taylor expansion of 2.0 in n 2.375 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.375 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of (log n) in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.376 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))) in n 2.376 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.376 * [taylor]: Taking taylor expansion of k in n 2.376 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) in n 2.376 * [taylor]: Taking taylor expansion of (/ 1 (pow (/ 2.0 n) (/ 0.5 k))) in n 2.376 * [taylor]: Taking taylor expansion of (pow (/ 2.0 n) (/ 0.5 k)) in n 2.376 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (/ 2.0 n)))) in n 2.376 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (/ 2.0 n))) in n 2.376 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 2.376 * [taylor]: Taking taylor expansion of 0.5 in n 2.376 * [taylor]: Taking taylor expansion of k in n 2.376 * [taylor]: Taking taylor expansion of (log (/ 2.0 n)) in n 2.376 * [taylor]: Taking taylor expansion of (/ 2.0 n) in n 2.376 * [taylor]: Taking taylor expansion of 2.0 in n 2.376 * [taylor]: Taking taylor expansion of n in n 2.376 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 2.376 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 2.376 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 2.376 * [taylor]: Taking taylor expansion of 0.5 in n 2.376 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 2.376 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 2.376 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 2.376 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.376 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.376 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.376 * [taylor]: Taking taylor expansion of 1.0 in n 2.376 * [taylor]: Taking taylor expansion of (log PI) in n 2.376 * [taylor]: Taking taylor expansion of PI in n 2.376 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.377 * [taylor]: Taking taylor expansion of 1.0 in n 2.377 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.377 * [taylor]: Taking taylor expansion of 2.0 in n 2.377 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.377 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.377 * [taylor]: Taking taylor expansion of 1.0 in n 2.377 * [taylor]: Taking taylor expansion of (log n) in n 2.377 * [taylor]: Taking taylor expansion of n in n 2.378 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log 2.0) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 2.378 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.378 * [taylor]: Taking taylor expansion of k in k 2.378 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log 2.0) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 2.378 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log 2.0) (log n)) k)))) in k 2.378 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log 2.0) (log n)) k))) in k 2.378 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log 2.0) (log n)) k)) in k 2.378 * [taylor]: Taking taylor expansion of 0.5 in k 2.379 * [taylor]: Taking taylor expansion of (/ (- (log 2.0) (log n)) k) in k 2.379 * [taylor]: Taking taylor expansion of (- (log 2.0) (log n)) in k 2.379 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.379 * [taylor]: Taking taylor expansion of 2.0 in k 2.379 * [taylor]: Taking taylor expansion of (log n) in k 2.379 * [taylor]: Taking taylor expansion of n in k 2.379 * [taylor]: Taking taylor expansion of k in k 2.379 * [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 2.379 * [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 2.379 * [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 2.379 * [taylor]: Taking taylor expansion of 0.5 in k 2.379 * [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 2.379 * [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 2.379 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 2.379 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.379 * [taylor]: Taking taylor expansion of 1.0 in k 2.379 * [taylor]: Taking taylor expansion of (log PI) in k 2.379 * [taylor]: Taking taylor expansion of PI in k 2.379 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.379 * [taylor]: Taking taylor expansion of 1.0 in k 2.379 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.379 * [taylor]: Taking taylor expansion of 2.0 in k 2.379 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.379 * [taylor]: Taking taylor expansion of 1.0 in k 2.379 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.380 * [taylor]: Taking taylor expansion of 1.0 in k 2.380 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.380 * [taylor]: Taking taylor expansion of (log 1) in k 2.380 * [taylor]: Taking taylor expansion of 1 in k 2.380 * [taylor]: Taking taylor expansion of (log n) in k 2.380 * [taylor]: Taking taylor expansion of n in k 2.384 * [taylor]: Taking taylor expansion of 0 in k 2.391 * [taylor]: Taking taylor expansion of 0 in k 2.402 * [taylor]: Taking taylor expansion of 0 in k 2.410 * [approximate]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (/ -2.0 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 2.410 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (/ -2.0 n) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.410 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (/ -2.0 n) (/ -0.5 k)))) in k 2.410 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ -2.0 n) (/ -0.5 k))) in k 2.410 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.410 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.410 * [taylor]: Taking taylor expansion of -1 in k 2.410 * [taylor]: Taking taylor expansion of k in k 2.410 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (/ -0.5 k)) in k 2.410 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -2.0 n)))) in k 2.410 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -2.0 n))) in k 2.410 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.410 * [taylor]: Taking taylor expansion of -0.5 in k 2.410 * [taylor]: Taking taylor expansion of k in k 2.410 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in k 2.410 * [taylor]: Taking taylor expansion of (/ -2.0 n) in k 2.410 * [taylor]: Taking taylor expansion of -2.0 in k 2.410 * [taylor]: Taking taylor expansion of n in k 2.411 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.411 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.411 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.411 * [taylor]: Taking taylor expansion of 0.5 in k 2.411 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.411 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.411 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.411 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.411 * [taylor]: Taking taylor expansion of 1.0 in k 2.411 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.411 * [taylor]: Taking taylor expansion of -2.0 in k 2.411 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.411 * [taylor]: Taking taylor expansion of 1.0 in k 2.411 * [taylor]: Taking taylor expansion of (log PI) in k 2.411 * [taylor]: Taking taylor expansion of PI in k 2.411 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.411 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.411 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.411 * [taylor]: Taking taylor expansion of 1.0 in k 2.411 * [taylor]: Taking taylor expansion of (log n) in k 2.411 * [taylor]: Taking taylor expansion of n in k 2.412 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (/ -2.0 n) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.412 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (/ -2.0 n) (/ -0.5 k)))) in n 2.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ -2.0 n) (/ -0.5 k))) in n 2.412 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.412 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.412 * [taylor]: Taking taylor expansion of -1 in n 2.412 * [taylor]: Taking taylor expansion of k in n 2.414 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (/ -0.5 k)) in n 2.414 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -2.0 n)))) in n 2.414 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -2.0 n))) in n 2.414 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.414 * [taylor]: Taking taylor expansion of -0.5 in n 2.414 * [taylor]: Taking taylor expansion of k in n 2.414 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in n 2.414 * [taylor]: Taking taylor expansion of (/ -2.0 n) in n 2.414 * [taylor]: Taking taylor expansion of -2.0 in n 2.414 * [taylor]: Taking taylor expansion of n in n 2.414 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.414 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.414 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.414 * [taylor]: Taking taylor expansion of 0.5 in n 2.414 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.414 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.414 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.414 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.414 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.414 * [taylor]: Taking taylor expansion of 1.0 in n 2.414 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.414 * [taylor]: Taking taylor expansion of -2.0 in n 2.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.415 * [taylor]: Taking taylor expansion of 1.0 in n 2.415 * [taylor]: Taking taylor expansion of (log PI) in n 2.415 * [taylor]: Taking taylor expansion of PI in n 2.415 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.415 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.415 * [taylor]: Taking taylor expansion of 1.0 in n 2.415 * [taylor]: Taking taylor expansion of (log n) in n 2.415 * [taylor]: Taking taylor expansion of n in n 2.416 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (/ -2.0 n) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.416 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (/ -2.0 n) (/ -0.5 k)))) in n 2.416 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (/ -2.0 n) (/ -0.5 k))) in n 2.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.416 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.416 * [taylor]: Taking taylor expansion of -1 in n 2.416 * [taylor]: Taking taylor expansion of k in n 2.416 * [taylor]: Taking taylor expansion of (pow (/ -2.0 n) (/ -0.5 k)) in n 2.416 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (/ -2.0 n)))) in n 2.416 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (/ -2.0 n))) in n 2.416 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.416 * [taylor]: Taking taylor expansion of -0.5 in n 2.416 * [taylor]: Taking taylor expansion of k in n 2.416 * [taylor]: Taking taylor expansion of (log (/ -2.0 n)) in n 2.416 * [taylor]: Taking taylor expansion of (/ -2.0 n) in n 2.416 * [taylor]: Taking taylor expansion of -2.0 in n 2.416 * [taylor]: Taking taylor expansion of n in n 2.417 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.417 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.417 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.417 * [taylor]: Taking taylor expansion of 0.5 in n 2.417 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.417 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.417 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.417 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.417 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.417 * [taylor]: Taking taylor expansion of 1.0 in n 2.417 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.417 * [taylor]: Taking taylor expansion of -2.0 in n 2.417 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.417 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.417 * [taylor]: Taking taylor expansion of 1.0 in n 2.417 * [taylor]: Taking taylor expansion of (log PI) in n 2.417 * [taylor]: Taking taylor expansion of PI in n 2.417 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.417 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.417 * [taylor]: Taking taylor expansion of 1.0 in n 2.417 * [taylor]: Taking taylor expansion of (log n) in n 2.417 * [taylor]: Taking taylor expansion of n in n 2.418 * [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) (/ 1 (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (- (log -2.0) (log n)) k)))))) in k 2.418 * [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 2.418 * [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 2.419 * [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 2.419 * [taylor]: Taking taylor expansion of 0.5 in k 2.419 * [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 2.419 * [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 2.419 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.419 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.419 * [taylor]: Taking taylor expansion of 1.0 in k 2.419 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.419 * [taylor]: Taking taylor expansion of -2.0 in k 2.419 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.419 * [taylor]: Taking taylor expansion of 1.0 in k 2.419 * [taylor]: Taking taylor expansion of (log PI) in k 2.419 * [taylor]: Taking taylor expansion of PI in k 2.419 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 2.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 2.419 * [taylor]: Taking taylor expansion of 1.0 in k 2.419 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 2.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 2.419 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 2.419 * [taylor]: Taking taylor expansion of 1.0 in k 2.419 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 2.419 * [taylor]: Taking taylor expansion of (log 1) in k 2.419 * [taylor]: Taking taylor expansion of 1 in k 2.419 * [taylor]: Taking taylor expansion of (log n) in k 2.419 * [taylor]: Taking taylor expansion of n in k 2.420 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (- (log -2.0) (log n)) k))))) in k 2.420 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (exp (* -0.5 (/ (- (log -2.0) (log n)) k)))) in k 2.420 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.420 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.420 * [taylor]: Taking taylor expansion of -1 in k 2.420 * [taylor]: Taking taylor expansion of k in k 2.420 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log -2.0) (log n)) k))) in k 2.420 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log -2.0) (log n)) k)) in k 2.420 * [taylor]: Taking taylor expansion of -0.5 in k 2.420 * [taylor]: Taking taylor expansion of (/ (- (log -2.0) (log n)) k) in k 2.420 * [taylor]: Taking taylor expansion of (- (log -2.0) (log n)) in k 2.420 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.421 * [taylor]: Taking taylor expansion of -2.0 in k 2.421 * [taylor]: Taking taylor expansion of (log n) in k 2.421 * [taylor]: Taking taylor expansion of n in k 2.421 * [taylor]: Taking taylor expansion of k in k 2.424 * [taylor]: Taking taylor expansion of 0 in k 2.432 * [taylor]: Taking taylor expansion of 0 in k 2.442 * [taylor]: Taking taylor expansion of 0 in k 2.443 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 2.443 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.443 * [taylor]: Taking taylor expansion of 0.5 in n 2.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.443 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.443 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [taylor]: Taking taylor expansion of (* n PI) in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.443 * [taylor]: Taking taylor expansion of 0.5 in n 2.443 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.443 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.443 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [taylor]: Taking taylor expansion of (* n PI) in n 2.443 * [taylor]: Taking taylor expansion of n in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.451 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.451 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.451 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.451 * [taylor]: Taking taylor expansion of 0.5 in n 2.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.451 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.451 * [taylor]: Taking taylor expansion of 2.0 in n 2.451 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.451 * [taylor]: Taking taylor expansion of PI in n 2.451 * [taylor]: Taking taylor expansion of n in n 2.451 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.451 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.451 * [taylor]: Taking taylor expansion of 0.5 in n 2.451 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.451 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.451 * [taylor]: Taking taylor expansion of 2.0 in n 2.451 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.451 * [taylor]: Taking taylor expansion of PI in n 2.451 * [taylor]: Taking taylor expansion of n in n 2.459 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.459 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.459 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.459 * [taylor]: Taking taylor expansion of 0.5 in n 2.459 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.459 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.459 * [taylor]: Taking taylor expansion of -2.0 in n 2.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.459 * [taylor]: Taking taylor expansion of PI in n 2.459 * [taylor]: Taking taylor expansion of n in n 2.459 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.459 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.459 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.459 * [taylor]: Taking taylor expansion of 0.5 in n 2.459 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.459 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.459 * [taylor]: Taking taylor expansion of -2.0 in n 2.459 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.460 * [taylor]: Taking taylor expansion of PI in n 2.460 * [taylor]: Taking taylor expansion of n in n 2.467 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.467 * [approximate]: Taking taylor expansion of (/ 1 (pow PI (* 0.5 k))) in (k) around 0 2.467 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (* 0.5 k))) in k 2.467 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 k)) in k 2.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log PI))) in k 2.467 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log PI)) in k 2.467 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.467 * [taylor]: Taking taylor expansion of 0.5 in k 2.467 * [taylor]: Taking taylor expansion of k in k 2.467 * [taylor]: Taking taylor expansion of (log PI) in k 2.467 * [taylor]: Taking taylor expansion of PI in k 2.468 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (* 0.5 k))) in k 2.468 * [taylor]: Taking taylor expansion of (pow PI (* 0.5 k)) in k 2.468 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log PI))) in k 2.468 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log PI)) in k 2.468 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.468 * [taylor]: Taking taylor expansion of 0.5 in k 2.468 * [taylor]: Taking taylor expansion of k in k 2.468 * [taylor]: Taking taylor expansion of (log PI) in k 2.468 * [taylor]: Taking taylor expansion of PI in k 2.469 * [approximate]: Taking taylor expansion of (/ 1 (pow PI (/ 0.5 k))) in (k) around 0 2.469 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (/ 0.5 k))) in k 2.469 * [taylor]: Taking taylor expansion of (pow PI (/ 0.5 k)) in k 2.469 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log PI))) in k 2.469 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log PI)) in k 2.469 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.469 * [taylor]: Taking taylor expansion of 0.5 in k 2.469 * [taylor]: Taking taylor expansion of k in k 2.469 * [taylor]: Taking taylor expansion of (log PI) in k 2.469 * [taylor]: Taking taylor expansion of PI in k 2.470 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (/ 0.5 k))) in k 2.470 * [taylor]: Taking taylor expansion of (pow PI (/ 0.5 k)) in k 2.470 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log PI))) in k 2.470 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log PI)) in k 2.470 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 2.470 * [taylor]: Taking taylor expansion of 0.5 in k 2.470 * [taylor]: Taking taylor expansion of k in k 2.470 * [taylor]: Taking taylor expansion of (log PI) in k 2.470 * [taylor]: Taking taylor expansion of PI in k 2.471 * [approximate]: Taking taylor expansion of (/ 1 (pow PI (/ -0.5 k))) in (k) around 0 2.471 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (/ -0.5 k))) in k 2.472 * [taylor]: Taking taylor expansion of (pow PI (/ -0.5 k)) in k 2.472 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log PI))) in k 2.472 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log PI)) in k 2.472 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.472 * [taylor]: Taking taylor expansion of -0.5 in k 2.472 * [taylor]: Taking taylor expansion of k in k 2.472 * [taylor]: Taking taylor expansion of (log PI) in k 2.472 * [taylor]: Taking taylor expansion of PI in k 2.472 * [taylor]: Taking taylor expansion of (/ 1 (pow PI (/ -0.5 k))) in k 2.472 * [taylor]: Taking taylor expansion of (pow PI (/ -0.5 k)) in k 2.472 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log PI))) in k 2.472 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log PI)) in k 2.472 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.472 * [taylor]: Taking taylor expansion of -0.5 in k 2.472 * [taylor]: Taking taylor expansion of k in k 2.472 * [taylor]: Taking taylor expansion of (log PI) in k 2.472 * [taylor]: Taking taylor expansion of PI in k 2.474 * * * [progress]: simplifying candidates 2.476 * [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)) (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log 2.0) (log n)) (/ k 2.0)))) (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* 2.0 n)) (/ k 2.0)))) (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* 2.0 n)) (/ k 2.0)))) (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* 2.0 n) (/ k 2.0))))) (- (* (+ (log PI) (+ (log 2.0) (log n))) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* 2.0 n) (/ k 2.0))))) (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log 2.0) (log n)) (/ k 2.0)))) (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* 2.0 n)) (/ k 2.0)))) (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* 2.0 n)) (/ k 2.0)))) (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* 2.0 n) (/ k 2.0))))) (- (* (+ (log PI) (log (* 2.0 n))) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* 2.0 n) (/ k 2.0))))) (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (+ (log 2.0) (log n)) (/ k 2.0)))) (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* 2.0 n)) (/ k 2.0)))) (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (* (log (* 2.0 n)) (/ k 2.0)))) (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (+ (log (sqrt k)) (log (pow (* 2.0 n) (/ k 2.0))))) (- (* (log (* PI (* 2.0 n))) (/ 1.0 2.0)) (log (* (sqrt k) (pow (* 2.0 n) (/ k 2.0))))) 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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 PI (/ 1.0 2.0)) (pow (* 2.0 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))) (/ (neg k) 2.0) (* (log PI) (/ (neg k) 2.0)) (* (log PI) (/ (neg k) 2.0)) (* (log PI) (/ (neg k) 2.0)) (* (log PI) (/ (neg k) 2.0)) (* (log PI) (/ (neg k) 2.0)) (* (log PI) (/ (neg k) 2.0)) (* (log PI) (/ (neg k) 2.0)) (* (log PI) (/ (neg k) 2.0)) (* (log PI) (/ (neg k) 2.0)) (* (log PI) (/ (neg k) 2.0)) (exp (/ 1 (pow PI (/ k 2.0)))) (/ 1 (pow (pow PI (/ k 2.0)) 3)) (* (cbrt (/ 1 (pow PI (/ k 2.0)))) (cbrt (/ 1 (pow PI (/ k 2.0))))) (cbrt (/ 1 (pow PI (/ k 2.0)))) (/ 1 (pow (pow PI (/ k 2.0)) 3)) (sqrt (/ 1 (pow PI (/ k 2.0)))) (sqrt (/ 1 (pow PI (/ k 2.0)))) -1 (neg (pow PI (/ k 2.0))) (* (/ (cbrt 1) (pow (* (cbrt PI) (cbrt PI)) (/ k 2.0))) (cbrt 1)) (/ (cbrt 1) (pow (cbrt PI) (/ k 2.0))) (* (/ (cbrt 1) (pow (sqrt PI) (/ k 2.0))) (cbrt 1)) (/ (cbrt 1) (pow (sqrt PI) (/ k 2.0))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (pow PI (/ k 2.0))) (* (/ (cbrt 1) (cbrt (pow PI (/ k 2.0)))) (/ (cbrt 1) (cbrt (pow PI (/ k 2.0))))) (/ (cbrt 1) (cbrt (pow PI (/ k 2.0)))) (* (/ (cbrt 1) (sqrt (pow PI (/ k 2.0)))) (cbrt 1)) (/ (cbrt 1) (sqrt (pow PI (/ k 2.0)))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (pow PI (/ k 2.0))) (* (/ (cbrt 1) (pow PI (/ k (* 2.0 2)))) (cbrt 1)) (/ (cbrt 1) (pow PI (/ k (* 2.0 2)))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (/ k 2.0))) (/ 1 (pow (cbrt PI) (/ k 2.0))) (/ 1 (pow (sqrt PI) (/ k 2.0))) (/ 1 (pow (sqrt PI) (/ k 2.0))) 1 (/ 1 (pow PI (/ k 2.0))) (/ 1 (* (cbrt (pow PI (/ k 2.0))) (cbrt (pow PI (/ k 2.0))))) (/ 1 (cbrt (pow PI (/ k 2.0)))) (/ 1 (sqrt (pow PI (/ k 2.0)))) (/ 1 (sqrt (pow PI (/ k 2.0)))) 1 (/ 1 (pow PI (/ k 2.0))) (/ 1 (pow PI (/ k (* 2.0 2)))) (/ 1 (pow PI (/ k (* 2.0 2)))) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (/ k 2.0))) (/ 1 (pow (cbrt PI) (/ k 2.0))) (/ 1 (pow (sqrt PI) (/ k 2.0))) (/ 1 (pow (sqrt PI) (/ k 2.0))) 1 (/ 1 (pow PI (/ k 2.0))) (/ 1 (* (cbrt (pow PI (/ k 2.0))) (cbrt (pow PI (/ k 2.0))))) (/ 1 (cbrt (pow PI (/ k 2.0)))) (/ 1 (sqrt (pow PI (/ k 2.0)))) (/ 1 (sqrt (pow PI (/ k 2.0)))) 1 (/ 1 (pow PI (/ k 2.0))) (/ 1 (pow PI (/ k (* 2.0 2)))) (/ 1 (pow PI (/ k (* 2.0 2)))) (/ 1 (pow PI (/ k 2.0))) (pow PI (/ k 2.0)) (/ 1 (pow (* (cbrt PI) (cbrt PI)) (/ k 2.0))) (/ 1 (pow (sqrt PI) (/ k 2.0))) 1 (/ 1 (* (cbrt (pow PI (/ k 2.0))) (cbrt (pow PI (/ k 2.0))))) (/ 1 (sqrt (pow PI (/ k 2.0)))) 1 (/ 1 (pow PI (/ k (* 2.0 2)))) (/ (pow PI (/ k 2.0)) (cbrt 1)) (pow PI (/ k 2.0)) (pow PI (/ k 2.0)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (* PI (* 2.0 n)) (+ (* 0.125 (* (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (* k k)) (+ (* (pow (log 2.0) 2) NAN) (* NAN (pow (log n) 2))))) (- (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (+ NAN (* 0.25 (* (log 2.0) (* (log n) (* k (* k NAN)))))) (* k (+ (* k (pow NAN 5)) (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (* (pow 1 1.0) (pow n 1.0)) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (+ (* k (* (log n) (pow NAN 3))) (* (log 2.0) NAN)))) (* 0.5 (+ (* (log n) (* k NAN)) (* (log 2.0) (* k (* k (pow NAN 3)))))))))) (* (pow (* (/ (pow 2.0 1.0) (pow (/ 1 (pow n 1.0)) 1.0)) (pow PI 1.0)) 0.5) (+ (/ NAN (* k (pow (* 2.0 n) (* k 0.5)))) (+ (/ (pow NAN 3) (* k (* k (pow (* 2.0 n) (* k 0.5))))) (/ (pow NAN 5) (* (pow (* 2.0 n) (* k 0.5)) (pow k 3)))))) (* (/ (pow (* (/ (pow -2.0 1.0) (pow (pow (/ -1 n) 1.0) 1.0)) (pow PI 1.0)) 0.5) (pow (exp 0.5) (* k (- (log -2.0) (log (/ -1 n)))))) (+ (/ 1 NAN) (/ NAN k))) (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)))) (+ 1 (* (log PI) (- (* (* 0.125 (* k k)) (log PI)) (* k 0.5)))) (pow (pow PI k) (neg 0.5)) (pow (pow PI k) (neg 0.5)) 2.525 * * * [progress]: adding candidates to table 2.776 * [progress]: [Phase 3 of 3] Extracting. 2.776 * * [regime]: Finding splitpoints for: (# # # # # # # #) 2.779 * * * [regime-changes]: Trying 2 branch expressions: (n k) 2.779 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 2.839 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 2.900 * * * [regime]: Found split indices: #