17.234 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.075 * [progress]: [Phase 2 of 3] Improving. 0.076 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.076 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.078 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.081 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.089 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.108 * * [simplify]: iteration 4 : 291 enodes (cost 16 ) 0.221 * * [simplify]: iteration 5 : 793 enodes (cost 16 ) 1.028 * * [simplify]: iteration 6 : 3009 enodes (cost 16 ) 2.040 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 2.040 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.040 * * [progress]: iteration 1 / 4 2.040 * * * [progress]: picking best candidate 2.042 * * * * [pick]: Picked # 2.042 * * * [progress]: localizing error 2.060 * * * [progress]: generating rewritten candidates 2.060 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.069 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.072 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.078 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.101 * * * [progress]: generating series expansions 2.101 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.102 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.102 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.102 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.102 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.102 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.102 * [taylor]: Taking taylor expansion of 0.5 in k 2.102 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.102 * [taylor]: Taking taylor expansion of 1.0 in k 2.102 * [taylor]: Taking taylor expansion of k in k 2.102 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.102 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.102 * [taylor]: Taking taylor expansion of 2.0 in k 2.102 * [taylor]: Taking taylor expansion of (* n PI) in k 2.102 * [taylor]: Taking taylor expansion of n in k 2.102 * [taylor]: Taking taylor expansion of PI in k 2.103 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.103 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.103 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.103 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.103 * [taylor]: Taking taylor expansion of 0.5 in n 2.103 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.103 * [taylor]: Taking taylor expansion of 1.0 in n 2.103 * [taylor]: Taking taylor expansion of k in n 2.103 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.103 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.103 * [taylor]: Taking taylor expansion of 2.0 in n 2.103 * [taylor]: Taking taylor expansion of (* n PI) in n 2.103 * [taylor]: Taking taylor expansion of n in n 2.103 * [taylor]: Taking taylor expansion of PI in n 2.109 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.109 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.109 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.109 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.109 * [taylor]: Taking taylor expansion of 0.5 in n 2.109 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.109 * [taylor]: Taking taylor expansion of 1.0 in n 2.109 * [taylor]: Taking taylor expansion of k in n 2.109 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.109 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.109 * [taylor]: Taking taylor expansion of 2.0 in n 2.109 * [taylor]: Taking taylor expansion of (* n PI) in n 2.109 * [taylor]: Taking taylor expansion of n in n 2.109 * [taylor]: Taking taylor expansion of PI in n 2.114 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.114 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.114 * [taylor]: Taking taylor expansion of 0.5 in k 2.114 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.114 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.114 * [taylor]: Taking taylor expansion of 1.0 in k 2.115 * [taylor]: Taking taylor expansion of k in k 2.115 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.115 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.115 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.115 * [taylor]: Taking taylor expansion of 2.0 in k 2.115 * [taylor]: Taking taylor expansion of PI in k 2.116 * [taylor]: Taking taylor expansion of (log n) in k 2.116 * [taylor]: Taking taylor expansion of n in k 2.125 * [taylor]: Taking taylor expansion of 0 in k 2.145 * [taylor]: Taking taylor expansion of 0 in k 2.163 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.163 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.163 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.163 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.163 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.163 * [taylor]: Taking taylor expansion of 0.5 in k 2.163 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.163 * [taylor]: Taking taylor expansion of 1.0 in k 2.163 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.163 * [taylor]: Taking taylor expansion of k in k 2.164 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.164 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.164 * [taylor]: Taking taylor expansion of 2.0 in k 2.164 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.164 * [taylor]: Taking taylor expansion of PI in k 2.164 * [taylor]: Taking taylor expansion of n in k 2.165 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.165 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.165 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.165 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.165 * [taylor]: Taking taylor expansion of 0.5 in n 2.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.165 * [taylor]: Taking taylor expansion of 1.0 in n 2.165 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.165 * [taylor]: Taking taylor expansion of k in n 2.165 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.165 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.165 * [taylor]: Taking taylor expansion of 2.0 in n 2.165 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.165 * [taylor]: Taking taylor expansion of PI in n 2.165 * [taylor]: Taking taylor expansion of n in n 2.169 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.169 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.169 * [taylor]: Taking taylor expansion of 0.5 in n 2.169 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.169 * [taylor]: Taking taylor expansion of 1.0 in n 2.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.169 * [taylor]: Taking taylor expansion of k in n 2.169 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.169 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.169 * [taylor]: Taking taylor expansion of 2.0 in n 2.169 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.169 * [taylor]: Taking taylor expansion of PI in n 2.169 * [taylor]: Taking taylor expansion of n in n 2.173 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.173 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.173 * [taylor]: Taking taylor expansion of 0.5 in k 2.173 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.173 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.173 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.173 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.173 * [taylor]: Taking taylor expansion of 2.0 in k 2.173 * [taylor]: Taking taylor expansion of PI in k 2.174 * [taylor]: Taking taylor expansion of (log n) in k 2.174 * [taylor]: Taking taylor expansion of n in k 2.174 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.174 * [taylor]: Taking taylor expansion of 1.0 in k 2.174 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.174 * [taylor]: Taking taylor expansion of k in k 2.184 * [taylor]: Taking taylor expansion of 0 in k 2.191 * [taylor]: Taking taylor expansion of 0 in k 2.200 * [taylor]: Taking taylor expansion of 0 in k 2.201 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.201 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.201 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.201 * [taylor]: Taking taylor expansion of 0.5 in k 2.201 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.201 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.201 * [taylor]: Taking taylor expansion of k in k 2.202 * [taylor]: Taking taylor expansion of 1.0 in k 2.202 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.202 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.202 * [taylor]: Taking taylor expansion of -2.0 in k 2.202 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.202 * [taylor]: Taking taylor expansion of PI in k 2.202 * [taylor]: Taking taylor expansion of n in k 2.202 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.202 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.202 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.203 * [taylor]: Taking taylor expansion of 0.5 in n 2.203 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.203 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.203 * [taylor]: Taking taylor expansion of k in n 2.203 * [taylor]: Taking taylor expansion of 1.0 in n 2.203 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.203 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.203 * [taylor]: Taking taylor expansion of -2.0 in n 2.203 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.203 * [taylor]: Taking taylor expansion of PI in n 2.203 * [taylor]: Taking taylor expansion of n in n 2.206 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.207 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.207 * [taylor]: Taking taylor expansion of 0.5 in n 2.207 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.207 * [taylor]: Taking taylor expansion of k in n 2.207 * [taylor]: Taking taylor expansion of 1.0 in n 2.207 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.207 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.207 * [taylor]: Taking taylor expansion of -2.0 in n 2.207 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.207 * [taylor]: Taking taylor expansion of PI in n 2.207 * [taylor]: Taking taylor expansion of n in n 2.210 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.210 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.210 * [taylor]: Taking taylor expansion of 0.5 in k 2.210 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.210 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.210 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.211 * [taylor]: Taking taylor expansion of k in k 2.211 * [taylor]: Taking taylor expansion of 1.0 in k 2.211 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.211 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.211 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.211 * [taylor]: Taking taylor expansion of -2.0 in k 2.211 * [taylor]: Taking taylor expansion of PI in k 2.212 * [taylor]: Taking taylor expansion of (log n) in k 2.212 * [taylor]: Taking taylor expansion of n in k 2.224 * [taylor]: Taking taylor expansion of 0 in k 2.231 * [taylor]: Taking taylor expansion of 0 in k 2.239 * [taylor]: Taking taylor expansion of 0 in k 2.240 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.240 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.240 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.240 * [taylor]: Taking taylor expansion of 1.0 in k 2.240 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.240 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.240 * [taylor]: Taking taylor expansion of k in k 2.242 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.242 * [taylor]: Taking taylor expansion of 1.0 in k 2.242 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.242 * [taylor]: Taking taylor expansion of k in k 2.253 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.253 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.253 * [taylor]: Taking taylor expansion of 1.0 in k 2.253 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.253 * [taylor]: Taking taylor expansion of k in k 2.254 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.254 * [taylor]: Taking taylor expansion of 1.0 in k 2.254 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.254 * [taylor]: Taking taylor expansion of k in k 2.265 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.265 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.265 * [taylor]: Taking taylor expansion of 1.0 in k 2.265 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.265 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.265 * [taylor]: Taking taylor expansion of -1 in k 2.265 * [taylor]: Taking taylor expansion of k in k 2.266 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.266 * [taylor]: Taking taylor expansion of 1.0 in k 2.266 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.266 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.267 * [taylor]: Taking taylor expansion of -1 in k 2.267 * [taylor]: Taking taylor expansion of k in k 2.278 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.279 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.279 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.279 * [taylor]: Taking taylor expansion of 2.0 in n 2.279 * [taylor]: Taking taylor expansion of (* n PI) in n 2.279 * [taylor]: Taking taylor expansion of n in n 2.279 * [taylor]: Taking taylor expansion of PI in n 2.279 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.279 * [taylor]: Taking taylor expansion of 2.0 in n 2.279 * [taylor]: Taking taylor expansion of (* n PI) in n 2.279 * [taylor]: Taking taylor expansion of n in n 2.279 * [taylor]: Taking taylor expansion of PI in n 2.291 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.291 * [taylor]: Taking taylor expansion of 2.0 in n 2.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.291 * [taylor]: Taking taylor expansion of PI in n 2.291 * [taylor]: Taking taylor expansion of n in n 2.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.292 * [taylor]: Taking taylor expansion of 2.0 in n 2.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.292 * [taylor]: Taking taylor expansion of PI in n 2.292 * [taylor]: Taking taylor expansion of n in n 2.303 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.303 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.303 * [taylor]: Taking taylor expansion of -2.0 in n 2.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.303 * [taylor]: Taking taylor expansion of PI in n 2.303 * [taylor]: Taking taylor expansion of n in n 2.304 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.304 * [taylor]: Taking taylor expansion of -2.0 in n 2.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.304 * [taylor]: Taking taylor expansion of PI in n 2.304 * [taylor]: Taking taylor expansion of n in n 2.312 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.313 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.313 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.313 * [taylor]: Taking taylor expansion of 1.0 in n 2.313 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.313 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.313 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.313 * [taylor]: Taking taylor expansion of k in n 2.313 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.313 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.313 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.313 * [taylor]: Taking taylor expansion of 0.5 in n 2.313 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.313 * [taylor]: Taking taylor expansion of 1.0 in n 2.313 * [taylor]: Taking taylor expansion of k in n 2.313 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n 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 2.319 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.319 * [taylor]: Taking taylor expansion of 1.0 in k 2.319 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.319 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.319 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.319 * [taylor]: Taking taylor expansion of k in k 2.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.320 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.320 * [taylor]: Taking taylor expansion of 0.5 in k 2.320 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.321 * [taylor]: Taking taylor expansion of 1.0 in k 2.321 * [taylor]: Taking taylor expansion of k in k 2.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.321 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.321 * [taylor]: Taking taylor expansion of 2.0 in k 2.321 * [taylor]: Taking taylor expansion of (* n PI) in k 2.321 * [taylor]: Taking taylor expansion of n in k 2.321 * [taylor]: Taking taylor expansion of PI in k 2.322 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.322 * [taylor]: Taking taylor expansion of 1.0 in k 2.322 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.322 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.322 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.322 * [taylor]: Taking taylor expansion of k in k 2.323 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.323 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.323 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.323 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.323 * [taylor]: Taking taylor expansion of 0.5 in k 2.323 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.323 * [taylor]: Taking taylor expansion of 1.0 in k 2.323 * [taylor]: Taking taylor expansion of k in k 2.323 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.323 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.323 * [taylor]: Taking taylor expansion of 2.0 in k 2.323 * [taylor]: Taking taylor expansion of (* n PI) in k 2.323 * [taylor]: Taking taylor expansion of n in k 2.323 * [taylor]: Taking taylor expansion of PI in k 2.324 * [taylor]: Taking taylor expansion of 0 in n 2.330 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.330 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.330 * [taylor]: Taking taylor expansion of +nan.0 in n 2.330 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.330 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.330 * [taylor]: Taking taylor expansion of 0.5 in n 2.330 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.330 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.330 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.330 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.330 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.330 * [taylor]: Taking taylor expansion of 1.0 in n 2.330 * [taylor]: Taking taylor expansion of (log PI) in n 2.330 * [taylor]: Taking taylor expansion of PI in n 2.332 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.332 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.332 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.332 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.332 * [taylor]: Taking taylor expansion of 1.0 in n 2.332 * [taylor]: Taking taylor expansion of (log n) in n 2.332 * [taylor]: Taking taylor expansion of n in n 2.333 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.333 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.333 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.333 * [taylor]: Taking taylor expansion of 1.0 in n 2.333 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.333 * [taylor]: Taking taylor expansion of 2.0 in n 2.352 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.352 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.352 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.352 * [taylor]: Taking taylor expansion of +nan.0 in n 2.352 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.352 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.352 * [taylor]: Taking taylor expansion of 0.5 in n 2.352 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.352 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.352 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.352 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.352 * [taylor]: Taking taylor expansion of 1.0 in n 2.352 * [taylor]: Taking taylor expansion of (log PI) in n 2.352 * [taylor]: Taking taylor expansion of PI in n 2.354 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.354 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.354 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.354 * [taylor]: Taking taylor expansion of 1.0 in n 2.354 * [taylor]: Taking taylor expansion of (log n) in n 2.354 * [taylor]: Taking taylor expansion of n in n 2.355 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.355 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.355 * [taylor]: Taking taylor expansion of 1.0 in n 2.355 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.355 * [taylor]: Taking taylor expansion of 2.0 in n 2.360 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.360 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.360 * [taylor]: Taking taylor expansion of +nan.0 in n 2.360 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.360 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.360 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.360 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.360 * [taylor]: Taking taylor expansion of 0.5 in n 2.360 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.360 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.360 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.360 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.360 * [taylor]: Taking taylor expansion of 1.0 in n 2.360 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.360 * [taylor]: Taking taylor expansion of 2.0 in n 2.362 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.362 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.362 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.362 * [taylor]: Taking taylor expansion of 1.0 in n 2.362 * [taylor]: Taking taylor expansion of (log PI) in n 2.362 * [taylor]: Taking taylor expansion of PI in n 2.364 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.364 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.364 * [taylor]: Taking taylor expansion of 1.0 in n 2.364 * [taylor]: Taking taylor expansion of (log n) in n 2.364 * [taylor]: Taking taylor expansion of n in n 2.369 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.369 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.369 * [taylor]: Taking taylor expansion of 2.0 in n 2.369 * [taylor]: Taking taylor expansion of (* n PI) in n 2.369 * [taylor]: Taking taylor expansion of n in n 2.369 * [taylor]: Taking taylor expansion of PI in n 2.422 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.422 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.422 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.422 * [taylor]: Taking taylor expansion of +nan.0 in n 2.422 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.422 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.422 * [taylor]: Taking taylor expansion of 0.5 in n 2.422 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.422 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.422 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.422 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.422 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.422 * [taylor]: Taking taylor expansion of 1.0 in n 2.422 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.422 * [taylor]: Taking taylor expansion of 2.0 in n 2.424 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.424 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.424 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.424 * [taylor]: Taking taylor expansion of 1.0 in n 2.424 * [taylor]: Taking taylor expansion of (log n) in n 2.424 * [taylor]: Taking taylor expansion of n in n 2.424 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.424 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.424 * [taylor]: Taking taylor expansion of 1.0 in n 2.424 * [taylor]: Taking taylor expansion of (log PI) in n 2.424 * [taylor]: Taking taylor expansion of PI in n 2.430 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.430 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.430 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.430 * [taylor]: Taking taylor expansion of +nan.0 in n 2.430 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.430 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.430 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.430 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.430 * [taylor]: Taking taylor expansion of 0.5 in n 2.430 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.430 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.430 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.430 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.430 * [taylor]: Taking taylor expansion of 1.0 in n 2.430 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.430 * [taylor]: Taking taylor expansion of 2.0 in n 2.432 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.432 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.432 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.432 * [taylor]: Taking taylor expansion of 1.0 in n 2.432 * [taylor]: Taking taylor expansion of (log PI) in n 2.432 * [taylor]: Taking taylor expansion of PI in n 2.434 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.434 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.434 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.434 * [taylor]: Taking taylor expansion of 1.0 in n 2.434 * [taylor]: Taking taylor expansion of (log n) in n 2.434 * [taylor]: Taking taylor expansion of n in n 2.438 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.438 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.438 * [taylor]: Taking taylor expansion of 2.0 in n 2.438 * [taylor]: Taking taylor expansion of (* n PI) in n 2.438 * [taylor]: Taking taylor expansion of n in n 2.438 * [taylor]: Taking taylor expansion of PI in n 2.441 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.441 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.441 * [taylor]: Taking taylor expansion of +nan.0 in n 2.441 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.441 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.441 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.441 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.441 * [taylor]: Taking taylor expansion of 0.5 in n 2.441 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.442 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.442 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.442 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.442 * [taylor]: Taking taylor expansion of 1.0 in n 2.442 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.442 * [taylor]: Taking taylor expansion of 2.0 in n 2.443 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.443 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.443 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.443 * [taylor]: Taking taylor expansion of 1.0 in n 2.443 * [taylor]: Taking taylor expansion of (log PI) in n 2.443 * [taylor]: Taking taylor expansion of PI in n 2.445 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.445 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.445 * [taylor]: Taking taylor expansion of 1.0 in n 2.445 * [taylor]: Taking taylor expansion of (log n) in n 2.445 * [taylor]: Taking taylor expansion of n in n 2.450 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.450 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.450 * [taylor]: Taking taylor expansion of 2.0 in n 2.450 * [taylor]: Taking taylor expansion of (* n PI) in n 2.450 * [taylor]: Taking taylor expansion of n in n 2.450 * [taylor]: Taking taylor expansion of PI in n 2.525 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.525 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.525 * [taylor]: Taking taylor expansion of 1.0 in n 2.525 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.525 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.525 * [taylor]: Taking taylor expansion of k in n 2.526 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.526 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.526 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.526 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.526 * [taylor]: Taking taylor expansion of 0.5 in n 2.526 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.526 * [taylor]: Taking taylor expansion of 1.0 in n 2.526 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.526 * [taylor]: Taking taylor expansion of k in n 2.526 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.526 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.526 * [taylor]: Taking taylor expansion of 2.0 in n 2.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.526 * [taylor]: Taking taylor expansion of PI in n 2.526 * [taylor]: Taking taylor expansion of n in n 2.529 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.529 * [taylor]: Taking taylor expansion of 1.0 in k 2.529 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.530 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.530 * [taylor]: Taking taylor expansion of k in k 2.531 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.531 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.531 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.531 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.531 * [taylor]: Taking taylor expansion of 0.5 in k 2.531 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.531 * [taylor]: Taking taylor expansion of 1.0 in k 2.531 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.531 * [taylor]: Taking taylor expansion of k in k 2.531 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.531 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.531 * [taylor]: Taking taylor expansion of 2.0 in k 2.531 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.531 * [taylor]: Taking taylor expansion of PI in k 2.531 * [taylor]: Taking taylor expansion of n in k 2.532 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.532 * [taylor]: Taking taylor expansion of 1.0 in k 2.532 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.532 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.532 * [taylor]: Taking taylor expansion of k in k 2.533 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.533 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.533 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.533 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.533 * [taylor]: Taking taylor expansion of 0.5 in k 2.533 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.533 * [taylor]: Taking taylor expansion of 1.0 in k 2.533 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.533 * [taylor]: Taking taylor expansion of k in k 2.534 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.534 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.534 * [taylor]: Taking taylor expansion of 2.0 in k 2.534 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.534 * [taylor]: Taking taylor expansion of PI in k 2.534 * [taylor]: Taking taylor expansion of n in k 2.535 * [taylor]: Taking taylor expansion of 0 in n 2.536 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.536 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.536 * [taylor]: Taking taylor expansion of +nan.0 in n 2.536 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.536 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.536 * [taylor]: Taking taylor expansion of 0.5 in n 2.536 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.536 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.536 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.536 * [taylor]: Taking taylor expansion of 2.0 in n 2.536 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.536 * [taylor]: Taking taylor expansion of PI in n 2.536 * [taylor]: Taking taylor expansion of n in n 2.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.538 * [taylor]: Taking taylor expansion of 1.0 in n 2.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.538 * [taylor]: Taking taylor expansion of k in n 2.546 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.546 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.546 * [taylor]: Taking taylor expansion of +nan.0 in n 2.546 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.546 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.546 * [taylor]: Taking taylor expansion of 0.5 in n 2.546 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.546 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.546 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.546 * [taylor]: Taking taylor expansion of 2.0 in n 2.546 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.546 * [taylor]: Taking taylor expansion of PI in n 2.546 * [taylor]: Taking taylor expansion of n in n 2.547 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.547 * [taylor]: Taking taylor expansion of 1.0 in n 2.547 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.547 * [taylor]: Taking taylor expansion of k in n 2.567 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.567 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.567 * [taylor]: Taking taylor expansion of +nan.0 in n 2.568 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.568 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.568 * [taylor]: Taking taylor expansion of 0.5 in n 2.568 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.568 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.568 * [taylor]: Taking taylor expansion of 2.0 in n 2.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.568 * [taylor]: Taking taylor expansion of PI in n 2.568 * [taylor]: Taking taylor expansion of n in n 2.569 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.569 * [taylor]: Taking taylor expansion of 1.0 in n 2.569 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.569 * [taylor]: Taking taylor expansion of k in n 2.578 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.578 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.578 * [taylor]: Taking taylor expansion of 1.0 in n 2.578 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.578 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.578 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.578 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.578 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.578 * [taylor]: Taking taylor expansion of 0.5 in n 2.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.578 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.578 * [taylor]: Taking taylor expansion of k in n 2.578 * [taylor]: Taking taylor expansion of 1.0 in n 2.578 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.578 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.578 * [taylor]: Taking taylor expansion of -2.0 in n 2.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.578 * [taylor]: Taking taylor expansion of PI in n 2.578 * [taylor]: Taking taylor expansion of n in n 2.582 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.582 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.582 * [taylor]: Taking taylor expansion of -1 in n 2.582 * [taylor]: Taking taylor expansion of k in n 2.583 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.583 * [taylor]: Taking taylor expansion of 1.0 in k 2.583 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.583 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.583 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.583 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.583 * [taylor]: Taking taylor expansion of 0.5 in k 2.583 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.583 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.583 * [taylor]: Taking taylor expansion of k in k 2.583 * [taylor]: Taking taylor expansion of 1.0 in k 2.583 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.583 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.583 * [taylor]: Taking taylor expansion of -2.0 in k 2.583 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.583 * [taylor]: Taking taylor expansion of PI in k 2.583 * [taylor]: Taking taylor expansion of n in k 2.584 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.584 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.584 * [taylor]: Taking taylor expansion of -1 in k 2.584 * [taylor]: Taking taylor expansion of k in k 2.586 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.586 * [taylor]: Taking taylor expansion of 1.0 in k 2.586 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.586 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.586 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.586 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.586 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.586 * [taylor]: Taking taylor expansion of 0.5 in k 2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.586 * [taylor]: Taking taylor expansion of k in k 2.586 * [taylor]: Taking taylor expansion of 1.0 in k 2.586 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.586 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.586 * [taylor]: Taking taylor expansion of -2.0 in k 2.586 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.586 * [taylor]: Taking taylor expansion of PI in k 2.586 * [taylor]: Taking taylor expansion of n in k 2.587 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.587 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.587 * [taylor]: Taking taylor expansion of -1 in k 2.587 * [taylor]: Taking taylor expansion of k in k 2.588 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.589 * [taylor]: Taking taylor expansion of +nan.0 in n 2.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.589 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.589 * [taylor]: Taking taylor expansion of 0.5 in n 2.589 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.589 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.589 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.589 * [taylor]: Taking taylor expansion of k in n 2.589 * [taylor]: Taking taylor expansion of 1.0 in n 2.589 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.589 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.589 * [taylor]: Taking taylor expansion of -2.0 in n 2.589 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.589 * [taylor]: Taking taylor expansion of PI in n 2.589 * [taylor]: Taking taylor expansion of n in n 2.598 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.598 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.598 * [taylor]: Taking taylor expansion of +nan.0 in n 2.598 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.598 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.598 * [taylor]: Taking taylor expansion of 0.5 in n 2.598 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.598 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.598 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.598 * [taylor]: Taking taylor expansion of k in n 2.598 * [taylor]: Taking taylor expansion of 1.0 in n 2.598 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.598 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.598 * [taylor]: Taking taylor expansion of -2.0 in n 2.598 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.598 * [taylor]: Taking taylor expansion of PI in n 2.598 * [taylor]: Taking taylor expansion of n in n 2.616 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.616 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.616 * [taylor]: Taking taylor expansion of +nan.0 in n 2.616 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.616 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.616 * [taylor]: Taking taylor expansion of 0.5 in n 2.616 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.616 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.616 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.616 * [taylor]: Taking taylor expansion of k in n 2.616 * [taylor]: Taking taylor expansion of 1.0 in n 2.616 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.616 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.616 * [taylor]: Taking taylor expansion of -2.0 in n 2.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.616 * [taylor]: Taking taylor expansion of PI in n 2.616 * [taylor]: Taking taylor expansion of n in n 2.625 * * * [progress]: simplifying candidates 2.628 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 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PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (+ (pow (* (* 2.0 PI) n) 0.5) (* (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2))))) (* 0.5 (* k (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k)))))))) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) k))) (/ (* (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) +nan.0) (pow k 3))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 3.673 * * * [progress]: adding candidates to table 4.065 * * [progress]: iteration 2 / 4 4.066 * * * [progress]: picking best candidate 4.096 * * * * [pick]: Picked # 4.096 * * * [progress]: localizing error 4.109 * * * [progress]: generating rewritten candidates 4.109 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 4.121 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 4.128 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.137 * * * [progress]: generating series expansions 4.137 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 4.138 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.138 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.138 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.138 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.138 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.138 * [taylor]: Taking taylor expansion of 0.5 in k 4.138 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.138 * [taylor]: Taking taylor expansion of 1.0 in k 4.138 * [taylor]: Taking taylor expansion of k in k 4.138 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.139 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.139 * [taylor]: Taking taylor expansion of 2.0 in k 4.139 * [taylor]: Taking taylor expansion of (* n PI) in k 4.139 * [taylor]: Taking taylor expansion of n in k 4.139 * [taylor]: Taking taylor expansion of PI in k 4.140 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.140 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.140 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.140 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.140 * [taylor]: Taking taylor expansion of 0.5 in n 4.140 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.140 * [taylor]: Taking taylor expansion of 1.0 in n 4.140 * [taylor]: Taking taylor expansion of k in n 4.140 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.140 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.140 * [taylor]: Taking taylor expansion of 2.0 in n 4.140 * [taylor]: Taking taylor expansion of (* n PI) in n 4.140 * [taylor]: Taking taylor expansion of n in n 4.140 * [taylor]: Taking taylor expansion of PI in n 4.145 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.145 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.145 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.145 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.145 * [taylor]: Taking taylor expansion of 0.5 in n 4.145 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.145 * [taylor]: Taking taylor expansion of 1.0 in n 4.145 * [taylor]: Taking taylor expansion of k in n 4.145 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.145 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.145 * [taylor]: Taking taylor expansion of 2.0 in n 4.145 * [taylor]: Taking taylor expansion of (* n PI) in n 4.145 * [taylor]: Taking taylor expansion of n in n 4.146 * [taylor]: Taking taylor expansion of PI in n 4.151 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.151 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.151 * [taylor]: Taking taylor expansion of 0.5 in k 4.151 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.151 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.151 * [taylor]: Taking taylor expansion of 1.0 in k 4.151 * [taylor]: Taking taylor expansion of k in k 4.151 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.151 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.151 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.151 * [taylor]: Taking taylor expansion of 2.0 in k 4.151 * [taylor]: Taking taylor expansion of PI in k 4.152 * [taylor]: Taking taylor expansion of (log n) in k 4.152 * [taylor]: Taking taylor expansion of n in k 4.162 * [taylor]: Taking taylor expansion of 0 in k 4.178 * [taylor]: Taking taylor expansion of 0 in k 4.196 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.196 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.196 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.196 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.196 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.196 * [taylor]: Taking taylor expansion of 0.5 in k 4.196 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.197 * [taylor]: Taking taylor expansion of 1.0 in k 4.197 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.197 * [taylor]: Taking taylor expansion of k in k 4.197 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.197 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.197 * [taylor]: Taking taylor expansion of 2.0 in k 4.197 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.197 * [taylor]: Taking taylor expansion of PI in k 4.197 * [taylor]: Taking taylor expansion of n in k 4.198 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.198 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.198 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.198 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.198 * [taylor]: Taking taylor expansion of 0.5 in n 4.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.198 * [taylor]: Taking taylor expansion of 1.0 in n 4.198 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.198 * [taylor]: Taking taylor expansion of k in n 4.198 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.198 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.198 * [taylor]: Taking taylor expansion of 2.0 in n 4.198 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.198 * [taylor]: Taking taylor expansion of PI in n 4.198 * [taylor]: Taking taylor expansion of n in n 4.207 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.207 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.207 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.207 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.207 * [taylor]: Taking taylor expansion of 0.5 in n 4.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.207 * [taylor]: Taking taylor expansion of 1.0 in n 4.207 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.207 * [taylor]: Taking taylor expansion of k in n 4.207 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.207 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.207 * [taylor]: Taking taylor expansion of 2.0 in n 4.207 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.207 * [taylor]: Taking taylor expansion of PI in n 4.207 * [taylor]: Taking taylor expansion of n in n 4.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.211 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.211 * [taylor]: Taking taylor expansion of 0.5 in k 4.211 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.211 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.211 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.211 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.211 * [taylor]: Taking taylor expansion of 2.0 in k 4.211 * [taylor]: Taking taylor expansion of PI in k 4.212 * [taylor]: Taking taylor expansion of (log n) in k 4.212 * [taylor]: Taking taylor expansion of n in k 4.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.212 * [taylor]: Taking taylor expansion of 1.0 in k 4.212 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.212 * [taylor]: Taking taylor expansion of k in k 4.222 * [taylor]: Taking taylor expansion of 0 in k 4.229 * [taylor]: Taking taylor expansion of 0 in k 4.238 * [taylor]: Taking taylor expansion of 0 in k 4.239 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.239 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.239 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.239 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.239 * [taylor]: Taking taylor expansion of 0.5 in k 4.239 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.239 * [taylor]: Taking taylor expansion of k in k 4.240 * [taylor]: Taking taylor expansion of 1.0 in k 4.240 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.240 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.240 * [taylor]: Taking taylor expansion of -2.0 in k 4.240 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.240 * [taylor]: Taking taylor expansion of PI in k 4.240 * [taylor]: Taking taylor expansion of n in k 4.241 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.241 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.241 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.241 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.241 * [taylor]: Taking taylor expansion of 0.5 in n 4.241 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.241 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.241 * [taylor]: Taking taylor expansion of k in n 4.241 * [taylor]: Taking taylor expansion of 1.0 in n 4.241 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.241 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.241 * [taylor]: Taking taylor expansion of -2.0 in n 4.241 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.241 * [taylor]: Taking taylor expansion of PI in n 4.241 * [taylor]: Taking taylor expansion of n in n 4.245 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.245 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.245 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.245 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.245 * [taylor]: Taking taylor expansion of 0.5 in n 4.245 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.245 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.245 * [taylor]: Taking taylor expansion of k in n 4.245 * [taylor]: Taking taylor expansion of 1.0 in n 4.245 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.245 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.245 * [taylor]: Taking taylor expansion of -2.0 in n 4.245 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.245 * [taylor]: Taking taylor expansion of PI in n 4.245 * [taylor]: Taking taylor expansion of n in n 4.249 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.249 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.249 * [taylor]: Taking taylor expansion of 0.5 in k 4.249 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.249 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.249 * [taylor]: Taking taylor expansion of k in k 4.249 * [taylor]: Taking taylor expansion of 1.0 in k 4.249 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.249 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.249 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.249 * [taylor]: Taking taylor expansion of -2.0 in k 4.249 * [taylor]: Taking taylor expansion of PI in k 4.250 * [taylor]: Taking taylor expansion of (log n) in k 4.250 * [taylor]: Taking taylor expansion of n in k 4.259 * [taylor]: Taking taylor expansion of 0 in k 4.266 * [taylor]: Taking taylor expansion of 0 in k 4.274 * [taylor]: Taking taylor expansion of 0 in k 4.275 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 4.276 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.276 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.276 * [taylor]: Taking taylor expansion of 2.0 in n 4.276 * [taylor]: Taking taylor expansion of (* n PI) in n 4.276 * [taylor]: Taking taylor expansion of n in n 4.276 * [taylor]: Taking taylor expansion of PI in n 4.276 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.276 * [taylor]: Taking taylor expansion of 2.0 in n 4.276 * [taylor]: Taking taylor expansion of (* n PI) in n 4.276 * [taylor]: Taking taylor expansion of n in n 4.276 * [taylor]: Taking taylor expansion of PI in n 4.293 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.293 * [taylor]: Taking taylor expansion of 2.0 in n 4.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.293 * [taylor]: Taking taylor expansion of PI in n 4.293 * [taylor]: Taking taylor expansion of n in n 4.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.294 * [taylor]: Taking taylor expansion of 2.0 in n 4.294 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.294 * [taylor]: Taking taylor expansion of PI in n 4.294 * [taylor]: Taking taylor expansion of n in n 4.303 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.303 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.303 * [taylor]: Taking taylor expansion of -2.0 in n 4.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.303 * [taylor]: Taking taylor expansion of PI in n 4.303 * [taylor]: Taking taylor expansion of n in n 4.303 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.303 * [taylor]: Taking taylor expansion of -2.0 in n 4.303 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.303 * [taylor]: Taking taylor expansion of PI in n 4.303 * [taylor]: Taking taylor expansion of n in n 4.312 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.312 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 4.312 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 4.312 * [taylor]: Taking taylor expansion of 1.0 in k 4.312 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 4.312 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.313 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.313 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.313 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.313 * [taylor]: Taking taylor expansion of 0.5 in k 4.313 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.313 * [taylor]: Taking taylor expansion of 1.0 in k 4.313 * [taylor]: Taking taylor expansion of k in k 4.313 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.313 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.313 * [taylor]: Taking taylor expansion of 2.0 in k 4.313 * [taylor]: Taking taylor expansion of (* n PI) in k 4.313 * [taylor]: Taking taylor expansion of n in k 4.313 * [taylor]: Taking taylor expansion of PI in k 4.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.314 * [taylor]: Taking taylor expansion of k in k 4.315 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 4.315 * [taylor]: Taking taylor expansion of 1.0 in n 4.315 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.315 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.315 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.315 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.315 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.315 * [taylor]: Taking taylor expansion of 0.5 in n 4.315 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.315 * [taylor]: Taking taylor expansion of 1.0 in n 4.315 * [taylor]: Taking taylor expansion of k in n 4.315 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.315 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.315 * [taylor]: Taking taylor expansion of 2.0 in n 4.315 * [taylor]: Taking taylor expansion of (* n PI) in n 4.315 * [taylor]: Taking taylor expansion of n in n 4.315 * [taylor]: Taking taylor expansion of PI in n 4.321 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.321 * [taylor]: Taking taylor expansion of k in n 4.321 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 4.321 * [taylor]: Taking taylor expansion of 1.0 in n 4.321 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.321 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.321 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.321 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.321 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.321 * [taylor]: Taking taylor expansion of 0.5 in n 4.321 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.321 * [taylor]: Taking taylor expansion of 1.0 in n 4.321 * [taylor]: Taking taylor expansion of k in n 4.321 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.321 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.321 * [taylor]: Taking taylor expansion of 2.0 in n 4.321 * [taylor]: Taking taylor expansion of (* n PI) in n 4.321 * [taylor]: Taking taylor expansion of n in n 4.321 * [taylor]: Taking taylor expansion of PI in n 4.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.326 * [taylor]: Taking taylor expansion of k in n 4.328 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 4.328 * [taylor]: Taking taylor expansion of 1.0 in k 4.328 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 4.328 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.328 * [taylor]: Taking taylor expansion of k in k 4.330 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.330 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.330 * [taylor]: Taking taylor expansion of 0.5 in k 4.330 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.330 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.330 * [taylor]: Taking taylor expansion of 1.0 in k 4.330 * [taylor]: Taking taylor expansion of k in k 4.330 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.330 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.330 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.330 * [taylor]: Taking taylor expansion of 2.0 in k 4.330 * [taylor]: Taking taylor expansion of PI in k 4.331 * [taylor]: Taking taylor expansion of (log n) in k 4.331 * [taylor]: Taking taylor expansion of n in k 4.342 * [taylor]: Taking taylor expansion of 0 in k 4.363 * [taylor]: Taking taylor expansion of 0 in k 4.404 * [taylor]: Taking taylor expansion of 0 in k 4.468 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 4.468 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.468 * [taylor]: Taking taylor expansion of 1.0 in k 4.468 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.468 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.468 * [taylor]: Taking taylor expansion of k in k 4.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.469 * [taylor]: Taking taylor expansion of 0.5 in k 4.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.469 * [taylor]: Taking taylor expansion of 1.0 in k 4.469 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.469 * [taylor]: Taking taylor expansion of k in k 4.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.470 * [taylor]: Taking taylor expansion of 2.0 in k 4.470 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.470 * [taylor]: Taking taylor expansion of PI in k 4.470 * [taylor]: Taking taylor expansion of n in k 4.471 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.471 * [taylor]: Taking taylor expansion of 1.0 in n 4.471 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.471 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.471 * [taylor]: Taking taylor expansion of k in n 4.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.471 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.471 * [taylor]: Taking taylor expansion of 0.5 in n 4.471 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.471 * [taylor]: Taking taylor expansion of 1.0 in n 4.471 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.471 * [taylor]: Taking taylor expansion of k in n 4.471 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.471 * [taylor]: Taking taylor expansion of 2.0 in n 4.471 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.471 * [taylor]: Taking taylor expansion of PI in n 4.471 * [taylor]: Taking taylor expansion of n in n 4.475 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.475 * [taylor]: Taking taylor expansion of 1.0 in n 4.475 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.475 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.475 * [taylor]: Taking taylor expansion of k in n 4.475 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.475 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.475 * [taylor]: Taking taylor expansion of 0.5 in n 4.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.475 * [taylor]: Taking taylor expansion of 1.0 in n 4.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.475 * [taylor]: Taking taylor expansion of k in n 4.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.475 * [taylor]: Taking taylor expansion of 2.0 in n 4.475 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.475 * [taylor]: Taking taylor expansion of PI in n 4.475 * [taylor]: Taking taylor expansion of n in n 4.480 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 4.480 * [taylor]: Taking taylor expansion of 1.0 in k 4.480 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 4.480 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.480 * [taylor]: Taking taylor expansion of k in k 4.481 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.481 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.481 * [taylor]: Taking taylor expansion of 0.5 in k 4.481 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.481 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.481 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.481 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.481 * [taylor]: Taking taylor expansion of 2.0 in k 4.481 * [taylor]: Taking taylor expansion of PI in k 4.482 * [taylor]: Taking taylor expansion of (log n) in k 4.482 * [taylor]: Taking taylor expansion of n in k 4.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.482 * [taylor]: Taking taylor expansion of 1.0 in k 4.483 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.483 * [taylor]: Taking taylor expansion of k in k 4.494 * [taylor]: Taking taylor expansion of 0 in k 4.507 * [taylor]: Taking taylor expansion of 0 in k 4.525 * [taylor]: Taking taylor expansion of 0 in k 4.535 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 4.535 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.535 * [taylor]: Taking taylor expansion of 1.0 in k 4.535 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.535 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.535 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.535 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.535 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.535 * [taylor]: Taking taylor expansion of 0.5 in k 4.535 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.535 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.535 * [taylor]: Taking taylor expansion of k in k 4.536 * [taylor]: Taking taylor expansion of 1.0 in k 4.536 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.536 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.536 * [taylor]: Taking taylor expansion of -2.0 in k 4.536 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.536 * [taylor]: Taking taylor expansion of PI in k 4.536 * [taylor]: Taking taylor expansion of n in k 4.537 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.537 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.537 * [taylor]: Taking taylor expansion of -1 in k 4.537 * [taylor]: Taking taylor expansion of k in k 4.538 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.538 * [taylor]: Taking taylor expansion of 1.0 in n 4.538 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.538 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.538 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.538 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.538 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.538 * [taylor]: Taking taylor expansion of 0.5 in n 4.538 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.538 * [taylor]: Taking taylor expansion of k in n 4.538 * [taylor]: Taking taylor expansion of 1.0 in n 4.538 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.538 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.538 * [taylor]: Taking taylor expansion of -2.0 in n 4.538 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.538 * [taylor]: Taking taylor expansion of PI in n 4.538 * [taylor]: Taking taylor expansion of n in n 4.547 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.547 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.547 * [taylor]: Taking taylor expansion of -1 in n 4.547 * [taylor]: Taking taylor expansion of k in n 4.548 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.548 * [taylor]: Taking taylor expansion of 1.0 in n 4.548 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.548 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.548 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.548 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.548 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.548 * [taylor]: Taking taylor expansion of 0.5 in n 4.548 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.548 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.548 * [taylor]: Taking taylor expansion of k in n 4.548 * [taylor]: Taking taylor expansion of 1.0 in n 4.548 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.549 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.549 * [taylor]: Taking taylor expansion of -2.0 in n 4.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.549 * [taylor]: Taking taylor expansion of PI in n 4.549 * [taylor]: Taking taylor expansion of n in n 4.552 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.552 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.552 * [taylor]: Taking taylor expansion of -1 in n 4.552 * [taylor]: Taking taylor expansion of k in n 4.554 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k 4.554 * [taylor]: Taking taylor expansion of 1.0 in k 4.554 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 4.554 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.554 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.554 * [taylor]: Taking taylor expansion of 0.5 in k 4.554 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.554 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.554 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.554 * [taylor]: Taking taylor expansion of k in k 4.555 * [taylor]: Taking taylor expansion of 1.0 in k 4.555 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.555 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.555 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.555 * [taylor]: Taking taylor expansion of -2.0 in k 4.555 * [taylor]: Taking taylor expansion of PI in k 4.556 * [taylor]: Taking taylor expansion of (log n) in k 4.556 * [taylor]: Taking taylor expansion of n in k 4.559 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.559 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.559 * [taylor]: Taking taylor expansion of -1 in k 4.559 * [taylor]: Taking taylor expansion of k in k 4.569 * [taylor]: Taking taylor expansion of 0 in k 4.585 * [taylor]: Taking taylor expansion of 0 in k 4.597 * * * [progress]: simplifying candidates 4.599 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (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 k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.612 * * [simplify]: iteration 0 : 264 enodes (cost 1828 ) 4.677 * * [simplify]: iteration 1 : 710 enodes (cost 1695 ) 4.884 * * [simplify]: iteration 2 : 2456 enodes (cost 1527 ) 5.457 * * [simplify]: iteration done : 5001 enodes (cost 1520 ) 5.457 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (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))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (+ (sqrt k) (sqrt 1.0))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (/ (fabs (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (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) (/ k 2.0))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (* (* 2.0 PI) n) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (- (+ (* (* (* 0.25 (pow k 2)) (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI)))) (log n)) (pow (* (* 2.0 PI) n) 0.5)) (* (* k (+ (* (pow (* (* 2.0 PI) n) 0.5) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)))) 0.5))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (* (* (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 (pow k 2))) (log n)) (- (* (* (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 (pow k 2))) (log (* 2.0 PI))) (+ (- (* (* (pow (* (* 2.0 PI) n) 0.5) k) (* (log n) +nan.0)) (* (* (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 (pow k 2))) (pow (log (* 2.0 PI)) 2))) (+ (- (* (* +nan.0 k) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 (pow k 2))) (log (* 2.0 PI))) (log n))) (- (* (* +nan.0 (* k (log (* 2.0 PI)))) (pow (* (* 2.0 PI) n) 0.5)) (* +nan.0 (- (* (* (* (pow (* (* 2.0 PI) n) 0.5) k) k) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5)))))))) (* (pow (* (* 2.0 PI) n) 0.5) (* +nan.0 (pow k 2)))) (- (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2)))) (/ (* +nan.0 (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k))) (pow k 3))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 5.458 * * * [progress]: adding candidates to table 5.684 * * [progress]: iteration 3 / 4 5.684 * * * [progress]: picking best candidate 5.708 * * * * [pick]: Picked # 5.709 * * * [progress]: localizing error 5.722 * * * [progress]: generating rewritten candidates 5.722 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 5.732 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 5.738 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 5.744 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.765 * * * [progress]: generating series expansions 5.765 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 5.766 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 5.766 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.766 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.766 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.766 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.766 * [taylor]: Taking taylor expansion of 0.5 in k 5.766 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.766 * [taylor]: Taking taylor expansion of 1.0 in k 5.766 * [taylor]: Taking taylor expansion of k in k 5.766 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.766 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.766 * [taylor]: Taking taylor expansion of 2.0 in k 5.766 * [taylor]: Taking taylor expansion of (* n PI) in k 5.766 * [taylor]: Taking taylor expansion of n in k 5.766 * [taylor]: Taking taylor expansion of PI in k 5.767 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.767 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.767 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.767 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.767 * [taylor]: Taking taylor expansion of 0.5 in n 5.767 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.767 * [taylor]: Taking taylor expansion of 1.0 in n 5.767 * [taylor]: Taking taylor expansion of k in n 5.767 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.767 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.767 * [taylor]: Taking taylor expansion of 2.0 in n 5.767 * [taylor]: Taking taylor expansion of (* n PI) in n 5.767 * [taylor]: Taking taylor expansion of n in n 5.767 * [taylor]: Taking taylor expansion of PI in n 5.773 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.773 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.773 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.773 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.773 * [taylor]: Taking taylor expansion of 0.5 in n 5.773 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.773 * [taylor]: Taking taylor expansion of 1.0 in n 5.773 * [taylor]: Taking taylor expansion of k in n 5.773 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.773 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.773 * [taylor]: Taking taylor expansion of 2.0 in n 5.773 * [taylor]: Taking taylor expansion of (* n PI) in n 5.773 * [taylor]: Taking taylor expansion of n in n 5.773 * [taylor]: Taking taylor expansion of PI in n 5.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 5.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 5.779 * [taylor]: Taking taylor expansion of 0.5 in k 5.779 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 5.779 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.779 * [taylor]: Taking taylor expansion of 1.0 in k 5.779 * [taylor]: Taking taylor expansion of k in k 5.779 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 5.779 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.779 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.779 * [taylor]: Taking taylor expansion of 2.0 in k 5.779 * [taylor]: Taking taylor expansion of PI in k 5.780 * [taylor]: Taking taylor expansion of (log n) in k 5.780 * [taylor]: Taking taylor expansion of n in k 5.794 * [taylor]: Taking taylor expansion of 0 in k 5.809 * [taylor]: Taking taylor expansion of 0 in k 5.828 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 5.828 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.828 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 5.828 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 5.828 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.828 * [taylor]: Taking taylor expansion of 0.5 in k 5.828 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.828 * [taylor]: Taking taylor expansion of 1.0 in k 5.828 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.828 * [taylor]: Taking taylor expansion of k in k 5.828 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.828 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.828 * [taylor]: Taking taylor expansion of 2.0 in k 5.828 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.828 * [taylor]: Taking taylor expansion of PI in k 5.828 * [taylor]: Taking taylor expansion of n in k 5.829 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.829 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.829 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.829 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.830 * [taylor]: Taking taylor expansion of 0.5 in n 5.830 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.830 * [taylor]: Taking taylor expansion of 1.0 in n 5.830 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.830 * [taylor]: Taking taylor expansion of k in n 5.830 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.830 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.830 * [taylor]: Taking taylor expansion of 2.0 in n 5.830 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.830 * [taylor]: Taking taylor expansion of PI in n 5.830 * [taylor]: Taking taylor expansion of n in n 5.833 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 5.833 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 5.833 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 5.833 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 5.833 * [taylor]: Taking taylor expansion of 0.5 in n 5.833 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 5.833 * [taylor]: Taking taylor expansion of 1.0 in n 5.833 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.833 * [taylor]: Taking taylor expansion of k in n 5.833 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.833 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.833 * [taylor]: Taking taylor expansion of 2.0 in n 5.833 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.834 * [taylor]: Taking taylor expansion of PI in n 5.834 * [taylor]: Taking taylor expansion of n in n 5.837 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 5.837 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 5.837 * [taylor]: Taking taylor expansion of 0.5 in k 5.837 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 5.837 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 5.837 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.837 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.837 * [taylor]: Taking taylor expansion of 2.0 in k 5.837 * [taylor]: Taking taylor expansion of PI in k 5.838 * [taylor]: Taking taylor expansion of (log n) in k 5.838 * [taylor]: Taking taylor expansion of n in k 5.838 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.838 * [taylor]: Taking taylor expansion of 1.0 in k 5.838 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.838 * [taylor]: Taking taylor expansion of k in k 5.848 * [taylor]: Taking taylor expansion of 0 in k 5.856 * [taylor]: Taking taylor expansion of 0 in k 5.865 * [taylor]: Taking taylor expansion of 0 in k 5.866 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 5.866 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 5.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 5.866 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.866 * [taylor]: Taking taylor expansion of 0.5 in k 5.866 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.866 * [taylor]: Taking taylor expansion of k in k 5.866 * [taylor]: Taking taylor expansion of 1.0 in k 5.866 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 5.866 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 5.866 * [taylor]: Taking taylor expansion of -2.0 in k 5.866 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.866 * [taylor]: Taking taylor expansion of PI in k 5.866 * [taylor]: Taking taylor expansion of n in k 5.867 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.867 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.867 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.867 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.867 * [taylor]: Taking taylor expansion of 0.5 in n 5.867 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.867 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.867 * [taylor]: Taking taylor expansion of k in n 5.867 * [taylor]: Taking taylor expansion of 1.0 in n 5.867 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.868 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.868 * [taylor]: Taking taylor expansion of -2.0 in n 5.868 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.868 * [taylor]: Taking taylor expansion of PI in n 5.868 * [taylor]: Taking taylor expansion of n in n 5.876 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 5.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 5.876 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 5.876 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 5.876 * [taylor]: Taking taylor expansion of 0.5 in n 5.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 5.876 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.876 * [taylor]: Taking taylor expansion of k in n 5.876 * [taylor]: Taking taylor expansion of 1.0 in n 5.876 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 5.876 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.876 * [taylor]: Taking taylor expansion of -2.0 in n 5.876 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.877 * [taylor]: Taking taylor expansion of PI in n 5.877 * [taylor]: Taking taylor expansion of n in n 5.880 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 5.880 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 5.880 * [taylor]: Taking taylor expansion of 0.5 in k 5.880 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 5.880 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.880 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.880 * [taylor]: Taking taylor expansion of k in k 5.881 * [taylor]: Taking taylor expansion of 1.0 in k 5.881 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 5.881 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 5.881 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 5.881 * [taylor]: Taking taylor expansion of -2.0 in k 5.881 * [taylor]: Taking taylor expansion of PI in k 5.882 * [taylor]: Taking taylor expansion of (log n) in k 5.882 * [taylor]: Taking taylor expansion of n in k 5.891 * [taylor]: Taking taylor expansion of 0 in k 5.897 * [taylor]: Taking taylor expansion of 0 in k 5.906 * [taylor]: Taking taylor expansion of 0 in k 5.907 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 5.908 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.908 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.908 * [taylor]: Taking taylor expansion of 2.0 in n 5.908 * [taylor]: Taking taylor expansion of (* n PI) in n 5.908 * [taylor]: Taking taylor expansion of n in n 5.908 * [taylor]: Taking taylor expansion of PI in n 5.908 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.908 * [taylor]: Taking taylor expansion of 2.0 in n 5.908 * [taylor]: Taking taylor expansion of (* n PI) in n 5.908 * [taylor]: Taking taylor expansion of n in n 5.908 * [taylor]: Taking taylor expansion of PI in n 5.920 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.920 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.920 * [taylor]: Taking taylor expansion of 2.0 in n 5.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.920 * [taylor]: Taking taylor expansion of PI in n 5.920 * [taylor]: Taking taylor expansion of n in n 5.920 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.920 * [taylor]: Taking taylor expansion of 2.0 in n 5.920 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.920 * [taylor]: Taking taylor expansion of PI in n 5.920 * [taylor]: Taking taylor expansion of n in n 5.929 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.929 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.929 * [taylor]: Taking taylor expansion of -2.0 in n 5.929 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.929 * [taylor]: Taking taylor expansion of PI in n 5.929 * [taylor]: Taking taylor expansion of n in n 5.930 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.930 * [taylor]: Taking taylor expansion of -2.0 in n 5.930 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.930 * [taylor]: Taking taylor expansion of PI in n 5.930 * [taylor]: Taking taylor expansion of n in n 5.938 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 5.939 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in (k n) around 0 5.939 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in n 5.939 * [taylor]: Taking taylor expansion of 1.0 in n 5.939 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 5.939 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.939 * [taylor]: Taking taylor expansion of k in n 5.939 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 5.939 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 5.939 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 5.939 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 5.939 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.939 * [taylor]: Taking taylor expansion of 0.5 in n 5.939 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.939 * [taylor]: Taking taylor expansion of 1.0 in n 5.939 * [taylor]: Taking taylor expansion of k in n 5.939 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.939 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.939 * [taylor]: Taking taylor expansion of 2.0 in n 5.939 * [taylor]: Taking taylor expansion of (* n PI) in n 5.939 * [taylor]: Taking taylor expansion of n in n 5.939 * [taylor]: Taking taylor expansion of PI in n 5.945 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in k 5.945 * [taylor]: Taking taylor expansion of 1.0 in k 5.945 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 5.945 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.945 * [taylor]: Taking taylor expansion of k in k 5.946 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 5.946 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.946 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.946 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.946 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.946 * [taylor]: Taking taylor expansion of 0.5 in k 5.946 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.946 * [taylor]: Taking taylor expansion of 1.0 in k 5.946 * [taylor]: Taking taylor expansion of k in k 5.946 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.946 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.946 * [taylor]: Taking taylor expansion of 2.0 in k 5.946 * [taylor]: Taking taylor expansion of (* n PI) in k 5.946 * [taylor]: Taking taylor expansion of n in k 5.946 * [taylor]: Taking taylor expansion of PI in k 5.948 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in k 5.948 * [taylor]: Taking taylor expansion of 1.0 in k 5.948 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 5.948 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.948 * [taylor]: Taking taylor expansion of k in k 5.949 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 5.949 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 5.949 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 5.949 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 5.949 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.949 * [taylor]: Taking taylor expansion of 0.5 in k 5.949 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.949 * [taylor]: Taking taylor expansion of 1.0 in k 5.949 * [taylor]: Taking taylor expansion of k in k 5.949 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.949 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.949 * [taylor]: Taking taylor expansion of 2.0 in k 5.949 * [taylor]: Taking taylor expansion of (* n PI) in k 5.949 * [taylor]: Taking taylor expansion of n in k 5.949 * [taylor]: Taking taylor expansion of PI in k 5.951 * [taylor]: Taking taylor expansion of 0 in n 5.964 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 5.964 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 5.964 * [taylor]: Taking taylor expansion of +nan.0 in n 5.964 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 5.964 * [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 5.964 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.964 * [taylor]: Taking taylor expansion of 0.5 in n 5.964 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.964 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.964 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.964 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.964 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.964 * [taylor]: Taking taylor expansion of 1.0 in n 5.964 * [taylor]: Taking taylor expansion of (log PI) in n 5.964 * [taylor]: Taking taylor expansion of PI in n 5.966 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.966 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.966 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.966 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.966 * [taylor]: Taking taylor expansion of 1.0 in n 5.966 * [taylor]: Taking taylor expansion of (log n) in n 5.966 * [taylor]: Taking taylor expansion of n in n 5.967 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.967 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.967 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.967 * [taylor]: Taking taylor expansion of 1.0 in n 5.967 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.967 * [taylor]: Taking taylor expansion of 2.0 in n 5.993 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))) in n 5.993 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))) in n 5.993 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 5.993 * [taylor]: Taking taylor expansion of +nan.0 in n 5.993 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 5.993 * [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 5.993 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.993 * [taylor]: Taking taylor expansion of 0.5 in n 5.993 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.993 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.993 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.993 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.993 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.993 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.993 * [taylor]: Taking taylor expansion of 1.0 in n 5.993 * [taylor]: Taking taylor expansion of (log PI) in n 5.993 * [taylor]: Taking taylor expansion of PI in n 5.995 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.995 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.995 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.995 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.995 * [taylor]: Taking taylor expansion of 1.0 in n 5.995 * [taylor]: Taking taylor expansion of (log n) in n 5.995 * [taylor]: Taking taylor expansion of n in n 5.996 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.996 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.996 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.996 * [taylor]: Taking taylor expansion of 1.0 in n 5.996 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.996 * [taylor]: Taking taylor expansion of 2.0 in n 6.002 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) in n 6.002 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) in n 6.002 * [taylor]: Taking taylor expansion of +nan.0 in n 6.002 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))) in n 6.002 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 6.002 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 6.002 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.002 * [taylor]: Taking taylor expansion of 0.5 in n 6.002 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.002 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.002 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.002 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.002 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.002 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.002 * [taylor]: Taking taylor expansion of 1.0 in n 6.002 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.003 * [taylor]: Taking taylor expansion of 2.0 in n 6.004 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.004 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.004 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.004 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.004 * [taylor]: Taking taylor expansion of 1.0 in n 6.004 * [taylor]: Taking taylor expansion of (log PI) in n 6.004 * [taylor]: Taking taylor expansion of PI in n 6.006 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.006 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.006 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.006 * [taylor]: Taking taylor expansion of 1.0 in n 6.006 * [taylor]: Taking taylor expansion of (log n) in n 6.006 * [taylor]: Taking taylor expansion of n in n 6.011 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.011 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.011 * [taylor]: Taking taylor expansion of 2.0 in n 6.011 * [taylor]: Taking taylor expansion of (* n PI) in n 6.011 * [taylor]: Taking taylor expansion of n in n 6.011 * [taylor]: Taking taylor expansion of PI in n 6.078 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))))))) in n 6.078 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))))))) in n 6.078 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 6.078 * [taylor]: Taking taylor expansion of +nan.0 in n 6.078 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 6.078 * [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 6.078 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 6.078 * [taylor]: Taking taylor expansion of 0.5 in n 6.078 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 6.078 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 6.078 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 6.078 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.079 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.079 * [taylor]: Taking taylor expansion of 1.0 in n 6.079 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.079 * [taylor]: Taking taylor expansion of 2.0 in n 6.080 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 6.080 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.080 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.080 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.080 * [taylor]: Taking taylor expansion of 1.0 in n 6.080 * [taylor]: Taking taylor expansion of (log n) in n 6.081 * [taylor]: Taking taylor expansion of n in n 6.081 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.081 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.081 * [taylor]: Taking taylor expansion of 1.0 in n 6.081 * [taylor]: Taking taylor expansion of (log PI) in n 6.081 * [taylor]: Taking taylor expansion of PI in n 6.088 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))))) in n 6.088 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))))) in n 6.088 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 6.088 * [taylor]: Taking taylor expansion of +nan.0 in n 6.088 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 6.088 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 6.088 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 6.088 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.088 * [taylor]: Taking taylor expansion of 0.5 in n 6.088 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.088 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.088 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.088 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.088 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.088 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.088 * [taylor]: Taking taylor expansion of 1.0 in n 6.088 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.088 * [taylor]: Taking taylor expansion of 2.0 in n 6.090 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.090 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.090 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.090 * [taylor]: Taking taylor expansion of 1.0 in n 6.090 * [taylor]: Taking taylor expansion of (log PI) in n 6.090 * [taylor]: Taking taylor expansion of PI in n 6.092 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.092 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.092 * [taylor]: Taking taylor expansion of 1.0 in n 6.092 * [taylor]: Taking taylor expansion of (log n) in n 6.092 * [taylor]: Taking taylor expansion of n in n 6.097 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.097 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.097 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.097 * [taylor]: Taking taylor expansion of 2.0 in n 6.097 * [taylor]: Taking taylor expansion of (* n PI) in n 6.097 * [taylor]: Taking taylor expansion of n in n 6.097 * [taylor]: Taking taylor expansion of PI in n 6.101 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))) in n 6.101 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))) in n 6.101 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 6.101 * [taylor]: Taking taylor expansion of +nan.0 in n 6.101 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 6.102 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.102 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.102 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.102 * [taylor]: Taking taylor expansion of 2.0 in n 6.102 * [taylor]: Taking taylor expansion of (* n PI) in n 6.102 * [taylor]: Taking taylor expansion of n in n 6.102 * [taylor]: Taking taylor expansion of PI in n 6.105 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 6.105 * [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 6.106 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.106 * [taylor]: Taking taylor expansion of 0.5 in n 6.106 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.106 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.106 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.106 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.106 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.106 * [taylor]: Taking taylor expansion of 1.0 in n 6.106 * [taylor]: Taking taylor expansion of (log PI) in n 6.106 * [taylor]: Taking taylor expansion of PI in n 6.108 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.108 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.108 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.108 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.108 * [taylor]: Taking taylor expansion of 1.0 in n 6.108 * [taylor]: Taking taylor expansion of (log n) in n 6.108 * [taylor]: Taking taylor expansion of n in n 6.108 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.108 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.108 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.108 * [taylor]: Taking taylor expansion of 1.0 in n 6.108 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.108 * [taylor]: Taking taylor expansion of 2.0 in n 6.114 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) in n 6.114 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) in n 6.114 * [taylor]: Taking taylor expansion of +nan.0 in n 6.115 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))) in n 6.115 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 6.115 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 6.115 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.115 * [taylor]: Taking taylor expansion of 0.5 in n 6.115 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.115 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.115 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.115 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.115 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.115 * [taylor]: Taking taylor expansion of 1.0 in n 6.115 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.115 * [taylor]: Taking taylor expansion of 2.0 in n 6.116 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.117 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.117 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.117 * [taylor]: Taking taylor expansion of 1.0 in n 6.117 * [taylor]: Taking taylor expansion of (log PI) in n 6.117 * [taylor]: Taking taylor expansion of PI in n 6.118 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.118 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.118 * [taylor]: Taking taylor expansion of 1.0 in n 6.119 * [taylor]: Taking taylor expansion of (log n) in n 6.119 * [taylor]: Taking taylor expansion of n in n 6.124 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.124 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.124 * [taylor]: Taking taylor expansion of 2.0 in n 6.124 * [taylor]: Taking taylor expansion of (* n PI) in n 6.124 * [taylor]: Taking taylor expansion of n in n 6.124 * [taylor]: Taking taylor expansion of PI in n 6.249 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 6.249 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in n 6.249 * [taylor]: Taking taylor expansion of 1.0 in n 6.249 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 6.249 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.249 * [taylor]: Taking taylor expansion of k in n 6.249 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.249 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.249 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.249 * [taylor]: Taking taylor expansion of 0.5 in n 6.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.249 * [taylor]: Taking taylor expansion of 1.0 in n 6.249 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.249 * [taylor]: Taking taylor expansion of k in n 6.249 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.249 * [taylor]: Taking taylor expansion of 2.0 in n 6.249 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.249 * [taylor]: Taking taylor expansion of PI in n 6.249 * [taylor]: Taking taylor expansion of n in n 6.254 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 6.254 * [taylor]: Taking taylor expansion of 1.0 in k 6.254 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.254 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.254 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.254 * [taylor]: Taking taylor expansion of k in k 6.255 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.255 * [taylor]: Taking taylor expansion of 0.5 in k 6.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.255 * [taylor]: Taking taylor expansion of 1.0 in k 6.256 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.256 * [taylor]: Taking taylor expansion of k in k 6.256 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.256 * [taylor]: Taking taylor expansion of 2.0 in k 6.256 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.256 * [taylor]: Taking taylor expansion of PI in k 6.256 * [taylor]: Taking taylor expansion of n in k 6.257 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 6.257 * [taylor]: Taking taylor expansion of 1.0 in k 6.257 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.257 * [taylor]: Taking taylor expansion of k in k 6.258 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.258 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.258 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.258 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.258 * [taylor]: Taking taylor expansion of 0.5 in k 6.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.258 * [taylor]: Taking taylor expansion of 1.0 in k 6.258 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.258 * [taylor]: Taking taylor expansion of k in k 6.259 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.259 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.259 * [taylor]: Taking taylor expansion of 2.0 in k 6.259 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.259 * [taylor]: Taking taylor expansion of PI in k 6.259 * [taylor]: Taking taylor expansion of n in k 6.260 * [taylor]: Taking taylor expansion of 0 in n 6.261 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 6.262 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.262 * [taylor]: Taking taylor expansion of +nan.0 in n 6.262 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.262 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.262 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.262 * [taylor]: Taking taylor expansion of 0.5 in n 6.262 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.262 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.262 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.262 * [taylor]: Taking taylor expansion of 2.0 in n 6.262 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.262 * [taylor]: Taking taylor expansion of PI in n 6.262 * [taylor]: Taking taylor expansion of n in n 6.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.263 * [taylor]: Taking taylor expansion of 1.0 in n 6.263 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.263 * [taylor]: Taking taylor expansion of k in n 6.273 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 6.273 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.273 * [taylor]: Taking taylor expansion of +nan.0 in n 6.273 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.273 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.273 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.273 * [taylor]: Taking taylor expansion of 0.5 in n 6.273 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.273 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.273 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.273 * [taylor]: Taking taylor expansion of 2.0 in n 6.273 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.273 * [taylor]: Taking taylor expansion of PI in n 6.273 * [taylor]: Taking taylor expansion of n in n 6.275 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.275 * [taylor]: Taking taylor expansion of 1.0 in n 6.275 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.275 * [taylor]: Taking taylor expansion of k in n 6.295 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 6.295 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.295 * [taylor]: Taking taylor expansion of +nan.0 in n 6.295 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.295 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.295 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.295 * [taylor]: Taking taylor expansion of 0.5 in n 6.295 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.295 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.295 * [taylor]: Taking taylor expansion of 2.0 in n 6.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.295 * [taylor]: Taking taylor expansion of PI in n 6.295 * [taylor]: Taking taylor expansion of n in n 6.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.296 * [taylor]: Taking taylor expansion of 1.0 in n 6.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.296 * [taylor]: Taking taylor expansion of k in n 6.306 * [approximate]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 6.306 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in n 6.306 * [taylor]: Taking taylor expansion of 1.0 in n 6.306 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 6.306 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.306 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.306 * [taylor]: Taking taylor expansion of -1 in n 6.306 * [taylor]: Taking taylor expansion of k in n 6.306 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.306 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.306 * [taylor]: Taking taylor expansion of 0.5 in n 6.306 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.306 * [taylor]: Taking taylor expansion of k in n 6.306 * [taylor]: Taking taylor expansion of 1.0 in n 6.306 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.306 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.306 * [taylor]: Taking taylor expansion of -2.0 in n 6.306 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.306 * [taylor]: Taking taylor expansion of PI in n 6.306 * [taylor]: Taking taylor expansion of n in n 6.316 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 6.316 * [taylor]: Taking taylor expansion of 1.0 in k 6.316 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.316 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.316 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.316 * [taylor]: Taking taylor expansion of -1 in k 6.316 * [taylor]: Taking taylor expansion of k in k 6.317 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.317 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.317 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.317 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.317 * [taylor]: Taking taylor expansion of 0.5 in k 6.317 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.317 * [taylor]: Taking taylor expansion of k in k 6.318 * [taylor]: Taking taylor expansion of 1.0 in k 6.318 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.318 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.318 * [taylor]: Taking taylor expansion of -2.0 in k 6.318 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.318 * [taylor]: Taking taylor expansion of PI in k 6.318 * [taylor]: Taking taylor expansion of n in k 6.319 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 6.319 * [taylor]: Taking taylor expansion of 1.0 in k 6.319 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.319 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.319 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.319 * [taylor]: Taking taylor expansion of -1 in k 6.319 * [taylor]: Taking taylor expansion of k in k 6.320 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.320 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.320 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.320 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.320 * [taylor]: Taking taylor expansion of 0.5 in k 6.320 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.320 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.320 * [taylor]: Taking taylor expansion of k in k 6.320 * [taylor]: Taking taylor expansion of 1.0 in k 6.320 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.320 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.321 * [taylor]: Taking taylor expansion of -2.0 in k 6.321 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.321 * [taylor]: Taking taylor expansion of PI in k 6.321 * [taylor]: Taking taylor expansion of n in k 6.322 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.322 * [taylor]: Taking taylor expansion of +nan.0 in n 6.322 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.322 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.322 * [taylor]: Taking taylor expansion of 0.5 in n 6.322 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.322 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.322 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.322 * [taylor]: Taking taylor expansion of k in n 6.322 * [taylor]: Taking taylor expansion of 1.0 in n 6.322 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.322 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.322 * [taylor]: Taking taylor expansion of -2.0 in n 6.322 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.322 * [taylor]: Taking taylor expansion of PI in n 6.322 * [taylor]: Taking taylor expansion of n in n 6.331 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 6.331 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.331 * [taylor]: Taking taylor expansion of +nan.0 in n 6.331 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.331 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.331 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.331 * [taylor]: Taking taylor expansion of 0.5 in n 6.331 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.331 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.331 * [taylor]: Taking taylor expansion of k in n 6.331 * [taylor]: Taking taylor expansion of 1.0 in n 6.331 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.331 * [taylor]: Taking taylor expansion of -2.0 in n 6.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.331 * [taylor]: Taking taylor expansion of PI in n 6.331 * [taylor]: Taking taylor expansion of n in n 6.350 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 6.350 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.350 * [taylor]: Taking taylor expansion of +nan.0 in n 6.350 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.350 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.350 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.350 * [taylor]: Taking taylor expansion of 0.5 in n 6.350 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.350 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.350 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.350 * [taylor]: Taking taylor expansion of k in n 6.350 * [taylor]: Taking taylor expansion of 1.0 in n 6.351 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.351 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.351 * [taylor]: Taking taylor expansion of -2.0 in n 6.351 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.351 * [taylor]: Taking taylor expansion of PI in n 6.351 * [taylor]: Taking taylor expansion of n in n 6.361 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.361 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 6.361 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 6.361 * [taylor]: Taking taylor expansion of 1.0 in n 6.361 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 6.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.361 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.362 * [taylor]: Taking taylor expansion of k in n 6.362 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.362 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.362 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.362 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.362 * [taylor]: Taking taylor expansion of 0.5 in n 6.362 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.362 * [taylor]: Taking taylor expansion of 1.0 in n 6.362 * [taylor]: Taking taylor expansion of k in n 6.362 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.362 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.362 * [taylor]: Taking taylor expansion of 2.0 in n 6.362 * [taylor]: Taking taylor expansion of (* n PI) in n 6.362 * [taylor]: Taking taylor expansion of n in n 6.362 * [taylor]: Taking taylor expansion of PI in n 6.367 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 6.367 * [taylor]: Taking taylor expansion of 1.0 in k 6.367 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.367 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.367 * [taylor]: Taking taylor expansion of k in k 6.369 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.369 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.369 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.369 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.369 * [taylor]: Taking taylor expansion of 0.5 in k 6.369 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.369 * [taylor]: Taking taylor expansion of 1.0 in k 6.369 * [taylor]: Taking taylor expansion of k in k 6.369 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.369 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.369 * [taylor]: Taking taylor expansion of 2.0 in k 6.369 * [taylor]: Taking taylor expansion of (* n PI) in k 6.369 * [taylor]: Taking taylor expansion of n in k 6.369 * [taylor]: Taking taylor expansion of PI in k 6.370 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 6.370 * [taylor]: Taking taylor expansion of 1.0 in k 6.370 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.370 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.370 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.370 * [taylor]: Taking taylor expansion of k in k 6.372 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.372 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.372 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.372 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.372 * [taylor]: Taking taylor expansion of 0.5 in k 6.372 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.372 * [taylor]: Taking taylor expansion of 1.0 in k 6.372 * [taylor]: Taking taylor expansion of k in k 6.372 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.372 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.372 * [taylor]: Taking taylor expansion of 2.0 in k 6.372 * [taylor]: Taking taylor expansion of (* n PI) in k 6.372 * [taylor]: Taking taylor expansion of n in k 6.372 * [taylor]: Taking taylor expansion of PI in k 6.373 * [taylor]: Taking taylor expansion of 0 in n 6.378 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.379 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.379 * [taylor]: Taking taylor expansion of +nan.0 in n 6.379 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.379 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.379 * [taylor]: Taking taylor expansion of 0.5 in n 6.379 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.379 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.379 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.379 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.379 * [taylor]: Taking taylor expansion of 1.0 in n 6.379 * [taylor]: Taking taylor expansion of (log PI) in n 6.379 * [taylor]: Taking taylor expansion of PI in n 6.381 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.381 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.381 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.381 * [taylor]: Taking taylor expansion of 1.0 in n 6.381 * [taylor]: Taking taylor expansion of (log n) in n 6.381 * [taylor]: Taking taylor expansion of n in n 6.381 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.381 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.381 * [taylor]: Taking taylor expansion of 1.0 in n 6.381 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.381 * [taylor]: Taking taylor expansion of 2.0 in n 6.406 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 6.406 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 6.406 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.406 * [taylor]: Taking taylor expansion of +nan.0 in n 6.406 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.406 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.406 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.406 * [taylor]: Taking taylor expansion of 0.5 in n 6.406 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.406 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.406 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.406 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.406 * [taylor]: Taking taylor expansion of 1.0 in n 6.406 * [taylor]: Taking taylor expansion of (log PI) in n 6.406 * [taylor]: Taking taylor expansion of PI in n 6.408 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.408 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.408 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.408 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.408 * [taylor]: Taking taylor expansion of 1.0 in n 6.408 * [taylor]: Taking taylor expansion of (log n) in n 6.408 * [taylor]: Taking taylor expansion of n in n 6.409 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.409 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.409 * [taylor]: Taking taylor expansion of 1.0 in n 6.409 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.409 * [taylor]: Taking taylor expansion of 2.0 in n 6.414 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 6.414 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 6.414 * [taylor]: Taking taylor expansion of +nan.0 in n 6.414 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 6.414 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.414 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.414 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.414 * [taylor]: Taking taylor expansion of 0.5 in n 6.414 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.414 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.414 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.414 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.414 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.414 * [taylor]: Taking taylor expansion of 1.0 in n 6.414 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.414 * [taylor]: Taking taylor expansion of 2.0 in n 6.416 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.416 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.416 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.416 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.416 * [taylor]: Taking taylor expansion of 1.0 in n 6.416 * [taylor]: Taking taylor expansion of (log PI) in n 6.416 * [taylor]: Taking taylor expansion of PI in n 6.418 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.418 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.418 * [taylor]: Taking taylor expansion of 1.0 in n 6.418 * [taylor]: Taking taylor expansion of (log n) in n 6.418 * [taylor]: Taking taylor expansion of n in n 6.422 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.422 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.422 * [taylor]: Taking taylor expansion of 2.0 in n 6.422 * [taylor]: Taking taylor expansion of (* n PI) in n 6.422 * [taylor]: Taking taylor expansion of n in n 6.422 * [taylor]: Taking taylor expansion of PI in n 6.471 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 6.471 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 6.471 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 6.471 * [taylor]: Taking taylor expansion of +nan.0 in n 6.471 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 6.471 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 6.471 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 6.471 * [taylor]: Taking taylor expansion of 0.5 in n 6.471 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 6.471 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 6.471 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.471 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.471 * [taylor]: Taking taylor expansion of 1.0 in n 6.471 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.471 * [taylor]: Taking taylor expansion of 2.0 in n 6.473 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 6.473 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.473 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.473 * [taylor]: Taking taylor expansion of 1.0 in n 6.473 * [taylor]: Taking taylor expansion of (log n) in n 6.473 * [taylor]: Taking taylor expansion of n in n 6.474 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.474 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.474 * [taylor]: Taking taylor expansion of 1.0 in n 6.474 * [taylor]: Taking taylor expansion of (log PI) in n 6.474 * [taylor]: Taking taylor expansion of PI in n 6.479 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 6.479 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 6.479 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 6.479 * [taylor]: Taking taylor expansion of +nan.0 in n 6.479 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 6.479 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.479 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.479 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.479 * [taylor]: Taking taylor expansion of 0.5 in n 6.479 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.479 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.479 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.479 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.479 * [taylor]: Taking taylor expansion of 1.0 in n 6.479 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.479 * [taylor]: Taking taylor expansion of 2.0 in n 6.481 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.481 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.481 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.481 * [taylor]: Taking taylor expansion of 1.0 in n 6.481 * [taylor]: Taking taylor expansion of (log PI) in n 6.481 * [taylor]: Taking taylor expansion of PI in n 6.483 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.483 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.483 * [taylor]: Taking taylor expansion of 1.0 in n 6.483 * [taylor]: Taking taylor expansion of (log n) in n 6.483 * [taylor]: Taking taylor expansion of n in n 6.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.487 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.487 * [taylor]: Taking taylor expansion of 2.0 in n 6.487 * [taylor]: Taking taylor expansion of (* n PI) in n 6.487 * [taylor]: Taking taylor expansion of n in n 6.487 * [taylor]: Taking taylor expansion of PI in n 6.496 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 6.496 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 6.496 * [taylor]: Taking taylor expansion of +nan.0 in n 6.496 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 6.496 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.496 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.496 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.496 * [taylor]: Taking taylor expansion of 0.5 in n 6.496 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.496 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.496 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.496 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.496 * [taylor]: Taking taylor expansion of 1.0 in n 6.496 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.496 * [taylor]: Taking taylor expansion of 2.0 in n 6.498 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.498 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.498 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.498 * [taylor]: Taking taylor expansion of 1.0 in n 6.498 * [taylor]: Taking taylor expansion of (log PI) in n 6.498 * [taylor]: Taking taylor expansion of PI in n 6.500 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.500 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.500 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.500 * [taylor]: Taking taylor expansion of 1.0 in n 6.500 * [taylor]: Taking taylor expansion of (log n) in n 6.500 * [taylor]: Taking taylor expansion of n in n 6.505 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.505 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.505 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.505 * [taylor]: Taking taylor expansion of 2.0 in n 6.505 * [taylor]: Taking taylor expansion of (* n PI) in n 6.505 * [taylor]: Taking taylor expansion of n in n 6.505 * [taylor]: Taking taylor expansion of PI in n 6.582 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 6.582 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 6.582 * [taylor]: Taking taylor expansion of 1.0 in n 6.582 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.582 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.582 * [taylor]: Taking taylor expansion of k in n 6.582 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.582 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.582 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.582 * [taylor]: Taking taylor expansion of 0.5 in n 6.582 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.582 * [taylor]: Taking taylor expansion of 1.0 in n 6.582 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.582 * [taylor]: Taking taylor expansion of k in n 6.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.582 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.583 * [taylor]: Taking taylor expansion of 2.0 in n 6.583 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.583 * [taylor]: Taking taylor expansion of PI in n 6.583 * [taylor]: Taking taylor expansion of n in n 6.586 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.586 * [taylor]: Taking taylor expansion of 1.0 in k 6.586 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.586 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.586 * [taylor]: Taking taylor expansion of k in k 6.587 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.588 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.588 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.588 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.588 * [taylor]: Taking taylor expansion of 0.5 in k 6.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.588 * [taylor]: Taking taylor expansion of 1.0 in k 6.588 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.588 * [taylor]: Taking taylor expansion of k in k 6.588 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.588 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.588 * [taylor]: Taking taylor expansion of 2.0 in k 6.588 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.588 * [taylor]: Taking taylor expansion of PI in k 6.588 * [taylor]: Taking taylor expansion of n in k 6.589 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.589 * [taylor]: Taking taylor expansion of 1.0 in k 6.589 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.589 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.589 * [taylor]: Taking taylor expansion of k in k 6.590 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.590 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.590 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.590 * [taylor]: Taking taylor expansion of 0.5 in k 6.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.590 * [taylor]: Taking taylor expansion of 1.0 in k 6.590 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.590 * [taylor]: Taking taylor expansion of k in k 6.591 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.591 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.591 * [taylor]: Taking taylor expansion of 2.0 in k 6.591 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.591 * [taylor]: Taking taylor expansion of PI in k 6.591 * [taylor]: Taking taylor expansion of n in k 6.592 * [taylor]: Taking taylor expansion of 0 in n 6.593 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.593 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.593 * [taylor]: Taking taylor expansion of +nan.0 in n 6.593 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.593 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.593 * [taylor]: Taking taylor expansion of 0.5 in n 6.593 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.593 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.593 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.593 * [taylor]: Taking taylor expansion of 2.0 in n 6.593 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.593 * [taylor]: Taking taylor expansion of PI in n 6.593 * [taylor]: Taking taylor expansion of n in n 6.594 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.594 * [taylor]: Taking taylor expansion of 1.0 in n 6.594 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.595 * [taylor]: Taking taylor expansion of k in n 6.603 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.603 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.603 * [taylor]: Taking taylor expansion of +nan.0 in n 6.603 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.603 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.603 * [taylor]: Taking taylor expansion of 0.5 in n 6.603 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.603 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.603 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.603 * [taylor]: Taking taylor expansion of 2.0 in n 6.603 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.603 * [taylor]: Taking taylor expansion of PI in n 6.603 * [taylor]: Taking taylor expansion of n in n 6.605 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.605 * [taylor]: Taking taylor expansion of 1.0 in n 6.605 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.605 * [taylor]: Taking taylor expansion of k in n 6.621 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.621 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.621 * [taylor]: Taking taylor expansion of +nan.0 in n 6.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.621 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.621 * [taylor]: Taking taylor expansion of 0.5 in n 6.621 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.621 * [taylor]: Taking taylor expansion of 2.0 in n 6.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.621 * [taylor]: Taking taylor expansion of PI in n 6.621 * [taylor]: Taking taylor expansion of n in n 6.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.623 * [taylor]: Taking taylor expansion of 1.0 in n 6.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.623 * [taylor]: Taking taylor expansion of k in n 6.631 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 6.631 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 6.631 * [taylor]: Taking taylor expansion of 1.0 in n 6.631 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 6.631 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.631 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.631 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.631 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.631 * [taylor]: Taking taylor expansion of 0.5 in n 6.632 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.632 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.632 * [taylor]: Taking taylor expansion of k in n 6.632 * [taylor]: Taking taylor expansion of 1.0 in n 6.632 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.632 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.632 * [taylor]: Taking taylor expansion of -2.0 in n 6.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.632 * [taylor]: Taking taylor expansion of PI in n 6.632 * [taylor]: Taking taylor expansion of n in n 6.635 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.635 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.635 * [taylor]: Taking taylor expansion of -1 in n 6.635 * [taylor]: Taking taylor expansion of k in n 6.636 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.636 * [taylor]: Taking taylor expansion of 1.0 in k 6.636 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.636 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.636 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.636 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.636 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.636 * [taylor]: Taking taylor expansion of 0.5 in k 6.636 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.636 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.636 * [taylor]: Taking taylor expansion of k in k 6.637 * [taylor]: Taking taylor expansion of 1.0 in k 6.637 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.637 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.637 * [taylor]: Taking taylor expansion of -2.0 in k 6.637 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.637 * [taylor]: Taking taylor expansion of PI in k 6.637 * [taylor]: Taking taylor expansion of n in k 6.638 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.638 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.638 * [taylor]: Taking taylor expansion of -1 in k 6.638 * [taylor]: Taking taylor expansion of k in k 6.639 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.639 * [taylor]: Taking taylor expansion of 1.0 in k 6.639 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.639 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.639 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.639 * [taylor]: Taking taylor expansion of 0.5 in k 6.639 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.639 * [taylor]: Taking taylor expansion of k in k 6.639 * [taylor]: Taking taylor expansion of 1.0 in k 6.640 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.640 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.640 * [taylor]: Taking taylor expansion of -2.0 in k 6.640 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.640 * [taylor]: Taking taylor expansion of PI in k 6.640 * [taylor]: Taking taylor expansion of n in k 6.640 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.640 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.640 * [taylor]: Taking taylor expansion of -1 in k 6.640 * [taylor]: Taking taylor expansion of k in k 6.642 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.642 * [taylor]: Taking taylor expansion of +nan.0 in n 6.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.642 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.642 * [taylor]: Taking taylor expansion of 0.5 in n 6.642 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.642 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.642 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.642 * [taylor]: Taking taylor expansion of k in n 6.642 * [taylor]: Taking taylor expansion of 1.0 in n 6.642 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.642 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.642 * [taylor]: Taking taylor expansion of -2.0 in n 6.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.642 * [taylor]: Taking taylor expansion of PI in n 6.642 * [taylor]: Taking taylor expansion of n in n 6.652 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.652 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.652 * [taylor]: Taking taylor expansion of +nan.0 in n 6.652 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.652 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.652 * [taylor]: Taking taylor expansion of 0.5 in n 6.652 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.652 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.652 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.652 * [taylor]: Taking taylor expansion of k in n 6.652 * [taylor]: Taking taylor expansion of 1.0 in n 6.652 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.652 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.652 * [taylor]: Taking taylor expansion of -2.0 in n 6.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.652 * [taylor]: Taking taylor expansion of PI in n 6.652 * [taylor]: Taking taylor expansion of n in n 6.676 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.676 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.676 * [taylor]: Taking taylor expansion of +nan.0 in n 6.676 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.676 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.676 * [taylor]: Taking taylor expansion of 0.5 in n 6.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.676 * [taylor]: Taking taylor expansion of k in n 6.676 * [taylor]: Taking taylor expansion of 1.0 in n 6.676 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.676 * [taylor]: Taking taylor expansion of -2.0 in n 6.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.676 * [taylor]: Taking taylor expansion of PI in n 6.676 * [taylor]: Taking taylor expansion of n in n 6.685 * * * [progress]: simplifying candidates 6.688 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log (sqrt k)) (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (log (sqrt k)) (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (exp (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* 1.0 1.0) 1.0) (* (* (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 k) (sqrt k)) (sqrt k)) (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (sqrt k)) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (* (cbrt k) (cbrt k))) 1.0) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1) 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt k) 1.0) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- 1) (- (- (log (sqrt k)) (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- (- (log (sqrt k)) (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- (- (log (sqrt k)) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- (- (log (sqrt k)) (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))))) (- 0 (- (log (sqrt k)) (+ (log 1.0) (log (pow (* (* 2.0 PI) 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2.0))))) (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (exp (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (pow (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 3) (pow (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 3) (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (pow (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 3) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (sqrt k)) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1.0) (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (fabs (cbrt k)) 1.0) (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) 1.0) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt k) 1.0) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) -1 (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) -1 (- (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ 1 (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (/ 1 (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1.0 (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1.0 (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (/ 1 (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (fabs (cbrt k))) (/ 1 (/ (sqrt (cbrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1.0 (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1.0 (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) 1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ 1 (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))))) (/ 1 (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1 (sqrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1 (/ (cbrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (fabs (cbrt k))) (/ 1 (/ (sqrt 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(cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 1 (/ 1 (sqrt k)) (* (/ 1 (sqrt k)) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1 (sqrt k)) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (* (* 2.0 PI) n) 0.5)) (* (pow (* (* 2.0 PI) n) 0.5) (pow (log n) 2)))) (- (+ (* (* (pow k 2) (log (* 2.0 PI))) (* (* (log n) (pow (* (* 2.0 PI) n) 0.5)) 0.25)) (pow (* (* 2.0 PI) n) 0.5)) (* (* 0.5 k) (+ (* (log n) (pow (* (* 2.0 PI) n) 0.5)) (* (log (* 2.0 PI)) (pow (* (* 2.0 PI) n) 0.5)))))) (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))) (+ (- (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)))) (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (- (* +nan.0 (* (pow k 3) (log (* 2.0 PI)))) (* +nan.0 (* (pow k 3) (* (log (* 2.0 PI)) (log n)))))))))) (- (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))))) (+ (- (/ (/ +nan.0 (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k))) k)) (- (/ (/ +nan.0 (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k))) (pow k 2)) (/ +nan.0 (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k))))) (+ (* +nan.0 (- (/ (exp (- (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k) (/ (exp (- (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow k 2)))) (/ (- +nan.0) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k))))))))) (+ (* +nan.0 (- (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) k) (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 2)))) (* (/ (pow (pow (* (* 2.0 PI) n) 0.5) (- 1.0 k)) (pow k 3)) (- +nan.0))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 8.069 * * * [progress]: adding candidates to table 8.429 * * [progress]: iteration 4 / 4 8.429 * * * [progress]: picking best candidate 8.448 * * * * [pick]: Picked # 8.448 * * * [progress]: localizing error 8.463 * * * [progress]: generating rewritten candidates 8.463 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 8.472 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 8.478 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.482 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 8.733 * * * [progress]: generating series expansions 8.734 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 8.734 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 8.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 8.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 8.735 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 8.735 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 8.735 * [taylor]: Taking taylor expansion of 0.5 in k 8.735 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.735 * [taylor]: Taking taylor expansion of 1.0 in k 8.735 * [taylor]: Taking taylor expansion of k in k 8.735 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 8.735 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 8.735 * [taylor]: Taking taylor expansion of 2.0 in k 8.735 * [taylor]: Taking taylor expansion of (* n PI) in k 8.735 * [taylor]: Taking taylor expansion of n in k 8.735 * [taylor]: Taking taylor expansion of PI in k 8.736 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.736 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.736 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.736 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.736 * [taylor]: Taking taylor expansion of 0.5 in n 8.736 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.736 * [taylor]: Taking taylor expansion of 1.0 in n 8.736 * [taylor]: Taking taylor expansion of k in n 8.736 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.736 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.736 * [taylor]: Taking taylor expansion of 2.0 in n 8.736 * [taylor]: Taking taylor expansion of (* n PI) in n 8.736 * [taylor]: Taking taylor expansion of n in n 8.736 * [taylor]: Taking taylor expansion of PI in n 8.741 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 8.742 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 8.742 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 8.742 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 8.742 * [taylor]: Taking taylor expansion of 0.5 in n 8.742 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 8.742 * [taylor]: Taking taylor expansion of 1.0 in n 8.742 * [taylor]: Taking taylor expansion of k in n 8.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 8.742 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.742 * [taylor]: Taking taylor expansion of 2.0 in n 8.742 * [taylor]: Taking taylor expansion of (* n PI) in n 8.742 * [taylor]: Taking taylor expansion of n in n 8.742 * [taylor]: Taking taylor expansion of PI in n 8.747 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 8.747 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 8.747 * [taylor]: Taking taylor expansion of 0.5 in k 8.747 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 8.747 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 8.747 * [taylor]: Taking taylor expansion of 1.0 in k 8.747 * [taylor]: Taking taylor expansion of k in k 8.747 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 8.747 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.747 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.747 * [taylor]: Taking taylor expansion of 2.0 in k 8.747 * [taylor]: Taking taylor expansion of PI in k 8.748 * [taylor]: Taking taylor expansion of (log n) in k 8.748 * [taylor]: Taking taylor expansion of n in k 8.758 * [taylor]: Taking taylor expansion of 0 in k 8.773 * [taylor]: Taking taylor expansion of 0 in k 8.792 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 8.792 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 8.792 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 8.792 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 8.793 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 8.793 * [taylor]: Taking taylor expansion of 0.5 in k 8.793 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.793 * [taylor]: Taking taylor expansion of 1.0 in k 8.793 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.793 * [taylor]: Taking taylor expansion of k in k 8.793 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 8.793 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 8.793 * [taylor]: Taking taylor expansion of 2.0 in k 8.793 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.793 * [taylor]: Taking taylor expansion of PI in k 8.793 * [taylor]: Taking taylor expansion of n in k 8.794 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.794 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.794 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.794 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.794 * [taylor]: Taking taylor expansion of 0.5 in n 8.794 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.794 * [taylor]: Taking taylor expansion of 1.0 in n 8.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.794 * [taylor]: Taking taylor expansion of k in n 8.794 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.794 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.794 * [taylor]: Taking taylor expansion of 2.0 in n 8.794 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.794 * [taylor]: Taking taylor expansion of PI in n 8.794 * [taylor]: Taking taylor expansion of n in n 8.798 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 8.798 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 8.798 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 8.798 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 8.798 * [taylor]: Taking taylor expansion of 0.5 in n 8.798 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 8.798 * [taylor]: Taking taylor expansion of 1.0 in n 8.798 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.798 * [taylor]: Taking taylor expansion of k in n 8.798 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 8.798 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.798 * [taylor]: Taking taylor expansion of 2.0 in n 8.798 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.798 * [taylor]: Taking taylor expansion of PI in n 8.798 * [taylor]: Taking taylor expansion of n in n 8.802 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 8.802 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 8.802 * [taylor]: Taking taylor expansion of 0.5 in k 8.802 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 8.802 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 8.802 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 8.802 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 8.802 * [taylor]: Taking taylor expansion of 2.0 in k 8.802 * [taylor]: Taking taylor expansion of PI in k 8.803 * [taylor]: Taking taylor expansion of (log n) in k 8.803 * [taylor]: Taking taylor expansion of n in k 8.803 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 8.803 * [taylor]: Taking taylor expansion of 1.0 in k 8.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.803 * [taylor]: Taking taylor expansion of k in k 8.819 * [taylor]: Taking taylor expansion of 0 in k 8.826 * [taylor]: Taking taylor expansion of 0 in k 8.835 * [taylor]: Taking taylor expansion of 0 in k 8.836 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 8.836 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 8.836 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 8.836 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 8.836 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 8.836 * [taylor]: Taking taylor expansion of 0.5 in k 8.836 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.836 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.836 * [taylor]: Taking taylor expansion of k in k 8.837 * [taylor]: Taking taylor expansion of 1.0 in k 8.837 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 8.837 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 8.837 * [taylor]: Taking taylor expansion of -2.0 in k 8.837 * [taylor]: Taking taylor expansion of (/ PI n) in k 8.837 * [taylor]: Taking taylor expansion of PI in k 8.837 * [taylor]: Taking taylor expansion of n in k 8.837 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.837 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.838 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.838 * [taylor]: Taking taylor expansion of 0.5 in n 8.838 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.838 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.838 * [taylor]: Taking taylor expansion of k in n 8.838 * [taylor]: Taking taylor expansion of 1.0 in n 8.838 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.838 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.838 * [taylor]: Taking taylor expansion of -2.0 in n 8.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.838 * [taylor]: Taking taylor expansion of PI in n 8.838 * [taylor]: Taking taylor expansion of n in n 8.841 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 8.841 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 8.841 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 8.841 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 8.841 * [taylor]: Taking taylor expansion of 0.5 in n 8.841 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 8.841 * [taylor]: Taking taylor expansion of (/ 1 k) in n 8.841 * [taylor]: Taking taylor expansion of k in n 8.841 * [taylor]: Taking taylor expansion of 1.0 in n 8.841 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 8.842 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.842 * [taylor]: Taking taylor expansion of -2.0 in n 8.842 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.842 * [taylor]: Taking taylor expansion of PI in n 8.842 * [taylor]: Taking taylor expansion of n in n 8.845 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 8.845 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 8.845 * [taylor]: Taking taylor expansion of 0.5 in k 8.845 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 8.845 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 8.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.845 * [taylor]: Taking taylor expansion of k in k 8.846 * [taylor]: Taking taylor expansion of 1.0 in k 8.846 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 8.846 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 8.846 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 8.846 * [taylor]: Taking taylor expansion of -2.0 in k 8.846 * [taylor]: Taking taylor expansion of PI in k 8.847 * [taylor]: Taking taylor expansion of (log n) in k 8.847 * [taylor]: Taking taylor expansion of n in k 8.856 * [taylor]: Taking taylor expansion of 0 in k 8.863 * [taylor]: Taking taylor expansion of 0 in k 8.872 * [taylor]: Taking taylor expansion of 0 in k 8.872 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 8.873 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 8.873 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.873 * [taylor]: Taking taylor expansion of 2.0 in n 8.873 * [taylor]: Taking taylor expansion of (* n PI) in n 8.873 * [taylor]: Taking taylor expansion of n in n 8.873 * [taylor]: Taking taylor expansion of PI in n 8.873 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 8.873 * [taylor]: Taking taylor expansion of 2.0 in n 8.873 * [taylor]: Taking taylor expansion of (* n PI) in n 8.873 * [taylor]: Taking taylor expansion of n in n 8.873 * [taylor]: Taking taylor expansion of PI in n 8.885 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 8.885 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.885 * [taylor]: Taking taylor expansion of 2.0 in n 8.885 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.885 * [taylor]: Taking taylor expansion of PI in n 8.885 * [taylor]: Taking taylor expansion of n in n 8.885 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 8.885 * [taylor]: Taking taylor expansion of 2.0 in n 8.885 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.886 * [taylor]: Taking taylor expansion of PI in n 8.886 * [taylor]: Taking taylor expansion of n in n 8.899 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 8.899 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.900 * [taylor]: Taking taylor expansion of -2.0 in n 8.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.900 * [taylor]: Taking taylor expansion of PI in n 8.900 * [taylor]: Taking taylor expansion of n in n 8.900 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 8.900 * [taylor]: Taking taylor expansion of -2.0 in n 8.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 8.900 * [taylor]: Taking taylor expansion of PI in n 8.900 * [taylor]: Taking taylor expansion of n in n 8.908 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.909 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 8.909 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.909 * [taylor]: Taking taylor expansion of 1.0 in k 8.909 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.909 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.909 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.909 * [taylor]: Taking taylor expansion of 1/4 in k 8.909 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.909 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.909 * [taylor]: Taking taylor expansion of k in k 8.910 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 8.910 * [taylor]: Taking taylor expansion of 1.0 in k 8.910 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 8.910 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 8.910 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 8.910 * [taylor]: Taking taylor expansion of 1/4 in k 8.910 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 8.910 * [taylor]: Taking taylor expansion of (/ 1 k) in k 8.910 * [taylor]: Taking taylor expansion of k in k 8.965 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 8.965 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.966 * [taylor]: Taking taylor expansion of 1.0 in k 8.966 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.966 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.966 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.966 * [taylor]: Taking taylor expansion of 1/4 in k 8.966 * [taylor]: Taking taylor expansion of (log k) in k 8.966 * [taylor]: Taking taylor expansion of k in k 8.966 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 8.966 * [taylor]: Taking taylor expansion of 1.0 in k 8.966 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 8.966 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 8.966 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 8.966 * [taylor]: Taking taylor expansion of 1/4 in k 8.966 * [taylor]: Taking taylor expansion of (log k) in k 8.966 * [taylor]: Taking taylor expansion of k in k 9.025 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 9.025 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 9.025 * [taylor]: Taking taylor expansion of 1.0 in k 9.025 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 9.025 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.025 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.026 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.026 * [taylor]: Taking taylor expansion of -1 in k 9.026 * [taylor]: Taking taylor expansion of k in k 9.032 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 9.032 * [taylor]: Taking taylor expansion of 1.0 in k 9.032 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 9.032 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.032 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.032 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.032 * [taylor]: Taking taylor expansion of -1 in k 9.032 * [taylor]: Taking taylor expansion of k in k 9.074 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.075 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 9.075 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 9.075 * [taylor]: Taking taylor expansion of 1.0 in n 9.075 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 9.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.075 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.075 * [taylor]: Taking taylor expansion of k in n 9.075 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.075 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.075 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.075 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.075 * [taylor]: Taking taylor expansion of 0.5 in n 9.075 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.075 * [taylor]: Taking taylor expansion of 1.0 in n 9.075 * [taylor]: Taking taylor expansion of k in n 9.075 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.075 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.075 * [taylor]: Taking taylor expansion of 2.0 in n 9.075 * [taylor]: Taking taylor expansion of (* n PI) in n 9.075 * [taylor]: Taking taylor expansion of n in n 9.075 * [taylor]: Taking taylor expansion of PI in n 9.080 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 9.080 * [taylor]: Taking taylor expansion of 1.0 in k 9.080 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 9.080 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.080 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.080 * [taylor]: Taking taylor expansion of k in k 9.082 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.082 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.082 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.082 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.082 * [taylor]: Taking taylor expansion of 0.5 in k 9.082 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.082 * [taylor]: Taking taylor expansion of 1.0 in k 9.082 * [taylor]: Taking taylor expansion of k in k 9.082 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.082 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.082 * [taylor]: Taking taylor expansion of 2.0 in k 9.082 * [taylor]: Taking taylor expansion of (* n PI) in k 9.082 * [taylor]: Taking taylor expansion of n in k 9.082 * [taylor]: Taking taylor expansion of PI in k 9.083 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 9.083 * [taylor]: Taking taylor expansion of 1.0 in k 9.083 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 9.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.083 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.083 * [taylor]: Taking taylor expansion of k in k 9.084 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.084 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.084 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.084 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.084 * [taylor]: Taking taylor expansion of 0.5 in k 9.084 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.084 * [taylor]: Taking taylor expansion of 1.0 in k 9.084 * [taylor]: Taking taylor expansion of k in k 9.084 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.084 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.084 * [taylor]: Taking taylor expansion of 2.0 in k 9.084 * [taylor]: Taking taylor expansion of (* n PI) in k 9.084 * [taylor]: Taking taylor expansion of n in k 9.084 * [taylor]: Taking taylor expansion of PI in k 9.086 * [taylor]: Taking taylor expansion of 0 in n 9.091 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.091 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.091 * [taylor]: Taking taylor expansion of +nan.0 in n 9.091 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.091 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.091 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.091 * [taylor]: Taking taylor expansion of 0.5 in n 9.091 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.091 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.092 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.092 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.092 * [taylor]: Taking taylor expansion of 1.0 in n 9.092 * [taylor]: Taking taylor expansion of (log PI) in n 9.092 * [taylor]: Taking taylor expansion of PI in n 9.093 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.093 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.093 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.093 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.093 * [taylor]: Taking taylor expansion of 1.0 in n 9.093 * [taylor]: Taking taylor expansion of (log n) in n 9.094 * [taylor]: Taking taylor expansion of n in n 9.094 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.094 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.094 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.094 * [taylor]: Taking taylor expansion of 1.0 in n 9.094 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.094 * [taylor]: Taking taylor expansion of 2.0 in n 9.113 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 9.113 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 9.113 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.113 * [taylor]: Taking taylor expansion of +nan.0 in n 9.113 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.113 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.113 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.113 * [taylor]: Taking taylor expansion of 0.5 in n 9.113 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.113 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.113 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.113 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.113 * [taylor]: Taking taylor expansion of 1.0 in n 9.113 * [taylor]: Taking taylor expansion of (log PI) in n 9.113 * [taylor]: Taking taylor expansion of PI in n 9.115 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.115 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.115 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.115 * [taylor]: Taking taylor expansion of 1.0 in n 9.115 * [taylor]: Taking taylor expansion of (log n) in n 9.115 * [taylor]: Taking taylor expansion of n in n 9.116 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.116 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.116 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.116 * [taylor]: Taking taylor expansion of 1.0 in n 9.116 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.116 * [taylor]: Taking taylor expansion of 2.0 in n 9.121 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 9.121 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 9.121 * [taylor]: Taking taylor expansion of +nan.0 in n 9.121 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 9.121 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.121 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.121 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.121 * [taylor]: Taking taylor expansion of 0.5 in n 9.121 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.121 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.121 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.122 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.122 * [taylor]: Taking taylor expansion of 1.0 in n 9.122 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.122 * [taylor]: Taking taylor expansion of 2.0 in n 9.123 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.123 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.123 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.123 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.123 * [taylor]: Taking taylor expansion of 1.0 in n 9.123 * [taylor]: Taking taylor expansion of (log PI) in n 9.123 * [taylor]: Taking taylor expansion of PI in n 9.125 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.125 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.125 * [taylor]: Taking taylor expansion of 1.0 in n 9.125 * [taylor]: Taking taylor expansion of (log n) in n 9.125 * [taylor]: Taking taylor expansion of n in n 9.129 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.129 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.129 * [taylor]: Taking taylor expansion of 2.0 in n 9.129 * [taylor]: Taking taylor expansion of (* n PI) in n 9.129 * [taylor]: Taking taylor expansion of n in n 9.129 * [taylor]: Taking taylor expansion of PI in n 9.184 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 9.184 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 9.184 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 9.184 * [taylor]: Taking taylor expansion of +nan.0 in n 9.184 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.184 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.184 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.184 * [taylor]: Taking taylor expansion of 0.5 in n 9.184 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.184 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.184 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.184 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.184 * [taylor]: Taking taylor expansion of 1.0 in n 9.184 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.184 * [taylor]: Taking taylor expansion of 2.0 in n 9.186 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.186 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.186 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.186 * [taylor]: Taking taylor expansion of 1.0 in n 9.186 * [taylor]: Taking taylor expansion of (log n) in n 9.186 * [taylor]: Taking taylor expansion of n in n 9.186 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.186 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.186 * [taylor]: Taking taylor expansion of 1.0 in n 9.186 * [taylor]: Taking taylor expansion of (log PI) in n 9.186 * [taylor]: Taking taylor expansion of PI in n 9.192 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 9.192 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 9.192 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 9.192 * [taylor]: Taking taylor expansion of +nan.0 in n 9.192 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 9.192 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.192 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.192 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.192 * [taylor]: Taking taylor expansion of 0.5 in n 9.192 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.192 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.192 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.192 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.192 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.192 * [taylor]: Taking taylor expansion of 1.0 in n 9.192 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.192 * [taylor]: Taking taylor expansion of 2.0 in n 9.194 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.194 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.194 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.194 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.194 * [taylor]: Taking taylor expansion of 1.0 in n 9.194 * [taylor]: Taking taylor expansion of (log PI) in n 9.194 * [taylor]: Taking taylor expansion of PI in n 9.196 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.196 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.196 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.196 * [taylor]: Taking taylor expansion of 1.0 in n 9.196 * [taylor]: Taking taylor expansion of (log n) in n 9.196 * [taylor]: Taking taylor expansion of n in n 9.200 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.200 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.200 * [taylor]: Taking taylor expansion of 2.0 in n 9.200 * [taylor]: Taking taylor expansion of (* n PI) in n 9.200 * [taylor]: Taking taylor expansion of n in n 9.200 * [taylor]: Taking taylor expansion of PI in n 9.203 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 9.203 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 9.203 * [taylor]: Taking taylor expansion of +nan.0 in n 9.203 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 9.203 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.203 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.203 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.203 * [taylor]: Taking taylor expansion of 0.5 in n 9.203 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.203 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.203 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.203 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.203 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.203 * [taylor]: Taking taylor expansion of 1.0 in n 9.203 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.203 * [taylor]: Taking taylor expansion of 2.0 in n 9.205 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.205 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.205 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.205 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.205 * [taylor]: Taking taylor expansion of 1.0 in n 9.205 * [taylor]: Taking taylor expansion of (log PI) in n 9.205 * [taylor]: Taking taylor expansion of PI in n 9.207 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.207 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.207 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.207 * [taylor]: Taking taylor expansion of 1.0 in n 9.207 * [taylor]: Taking taylor expansion of (log n) in n 9.207 * [taylor]: Taking taylor expansion of n in n 9.211 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 9.211 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.211 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.211 * [taylor]: Taking taylor expansion of 2.0 in n 9.211 * [taylor]: Taking taylor expansion of (* n PI) in n 9.211 * [taylor]: Taking taylor expansion of n in n 9.211 * [taylor]: Taking taylor expansion of PI in n 9.289 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 9.289 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 9.289 * [taylor]: Taking taylor expansion of 1.0 in n 9.289 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 9.289 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.289 * [taylor]: Taking taylor expansion of k in n 9.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.289 * [taylor]: Taking taylor expansion of 0.5 in n 9.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.289 * [taylor]: Taking taylor expansion of 1.0 in n 9.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.289 * [taylor]: Taking taylor expansion of k in n 9.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.289 * [taylor]: Taking taylor expansion of 2.0 in n 9.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.289 * [taylor]: Taking taylor expansion of PI in n 9.289 * [taylor]: Taking taylor expansion of n in n 9.293 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.293 * [taylor]: Taking taylor expansion of 1.0 in k 9.293 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.293 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.293 * [taylor]: Taking taylor expansion of k in k 9.294 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.294 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.294 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.294 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.294 * [taylor]: Taking taylor expansion of 0.5 in k 9.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.294 * [taylor]: Taking taylor expansion of 1.0 in k 9.294 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.294 * [taylor]: Taking taylor expansion of k in k 9.295 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.295 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.295 * [taylor]: Taking taylor expansion of 2.0 in k 9.295 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.295 * [taylor]: Taking taylor expansion of PI in k 9.295 * [taylor]: Taking taylor expansion of n in k 9.296 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.296 * [taylor]: Taking taylor expansion of 1.0 in k 9.296 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.296 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.296 * [taylor]: Taking taylor expansion of k in k 9.297 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.297 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.297 * [taylor]: Taking taylor expansion of 0.5 in k 9.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.297 * [taylor]: Taking taylor expansion of 1.0 in k 9.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.297 * [taylor]: Taking taylor expansion of k in k 9.297 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.297 * [taylor]: Taking taylor expansion of 2.0 in k 9.297 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.297 * [taylor]: Taking taylor expansion of PI in k 9.297 * [taylor]: Taking taylor expansion of n in k 9.299 * [taylor]: Taking taylor expansion of 0 in n 9.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.300 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.300 * [taylor]: Taking taylor expansion of +nan.0 in n 9.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.300 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.300 * [taylor]: Taking taylor expansion of 0.5 in n 9.300 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.300 * [taylor]: Taking taylor expansion of 2.0 in n 9.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.300 * [taylor]: Taking taylor expansion of PI in n 9.300 * [taylor]: Taking taylor expansion of n in n 9.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.301 * [taylor]: Taking taylor expansion of 1.0 in n 9.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.301 * [taylor]: Taking taylor expansion of k in n 9.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.314 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.314 * [taylor]: Taking taylor expansion of +nan.0 in n 9.314 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.314 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.314 * [taylor]: Taking taylor expansion of 0.5 in n 9.314 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.314 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.314 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.314 * [taylor]: Taking taylor expansion of 2.0 in n 9.314 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.314 * [taylor]: Taking taylor expansion of PI in n 9.314 * [taylor]: Taking taylor expansion of n in n 9.315 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.315 * [taylor]: Taking taylor expansion of 1.0 in n 9.315 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.316 * [taylor]: Taking taylor expansion of k in n 9.332 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.332 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.332 * [taylor]: Taking taylor expansion of +nan.0 in n 9.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.332 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.332 * [taylor]: Taking taylor expansion of 0.5 in n 9.332 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.332 * [taylor]: Taking taylor expansion of 2.0 in n 9.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.332 * [taylor]: Taking taylor expansion of PI in n 9.332 * [taylor]: Taking taylor expansion of n in n 9.334 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.334 * [taylor]: Taking taylor expansion of 1.0 in n 9.334 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.334 * [taylor]: Taking taylor expansion of k in n 9.342 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 9.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 9.342 * [taylor]: Taking taylor expansion of 1.0 in n 9.342 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 9.342 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.342 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.342 * [taylor]: Taking taylor expansion of 0.5 in n 9.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.342 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.342 * [taylor]: Taking taylor expansion of k in n 9.342 * [taylor]: Taking taylor expansion of 1.0 in n 9.343 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.343 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.343 * [taylor]: Taking taylor expansion of -2.0 in n 9.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.343 * [taylor]: Taking taylor expansion of PI in n 9.343 * [taylor]: Taking taylor expansion of n in n 9.346 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 9.346 * [taylor]: Taking taylor expansion of (/ -1 k) in n 9.346 * [taylor]: Taking taylor expansion of -1 in n 9.346 * [taylor]: Taking taylor expansion of k in n 9.347 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 9.347 * [taylor]: Taking taylor expansion of 1.0 in k 9.347 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.347 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.347 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.347 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.347 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.347 * [taylor]: Taking taylor expansion of 0.5 in k 9.347 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.347 * [taylor]: Taking taylor expansion of k in k 9.348 * [taylor]: Taking taylor expansion of 1.0 in k 9.348 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.348 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.348 * [taylor]: Taking taylor expansion of -2.0 in k 9.348 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.348 * [taylor]: Taking taylor expansion of PI in k 9.348 * [taylor]: Taking taylor expansion of n in k 9.348 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.348 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.348 * [taylor]: Taking taylor expansion of -1 in k 9.349 * [taylor]: Taking taylor expansion of k in k 9.350 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 9.350 * [taylor]: Taking taylor expansion of 1.0 in k 9.350 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 9.350 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.350 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.350 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.350 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.350 * [taylor]: Taking taylor expansion of 0.5 in k 9.350 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.350 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.350 * [taylor]: Taking taylor expansion of k in k 9.350 * [taylor]: Taking taylor expansion of 1.0 in k 9.350 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.350 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.350 * [taylor]: Taking taylor expansion of -2.0 in k 9.350 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.350 * [taylor]: Taking taylor expansion of PI in k 9.350 * [taylor]: Taking taylor expansion of n in k 9.351 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.351 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.351 * [taylor]: Taking taylor expansion of -1 in k 9.351 * [taylor]: Taking taylor expansion of k in k 9.353 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.353 * [taylor]: Taking taylor expansion of +nan.0 in n 9.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.353 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.353 * [taylor]: Taking taylor expansion of 0.5 in n 9.353 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.353 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.353 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.353 * [taylor]: Taking taylor expansion of k in n 9.353 * [taylor]: Taking taylor expansion of 1.0 in n 9.353 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.353 * [taylor]: Taking taylor expansion of -2.0 in n 9.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.353 * [taylor]: Taking taylor expansion of PI in n 9.353 * [taylor]: Taking taylor expansion of n in n 9.363 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 9.364 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.364 * [taylor]: Taking taylor expansion of +nan.0 in n 9.364 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.364 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.364 * [taylor]: Taking taylor expansion of 0.5 in n 9.364 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.364 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.364 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.364 * [taylor]: Taking taylor expansion of k in n 9.364 * [taylor]: Taking taylor expansion of 1.0 in n 9.364 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.364 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.364 * [taylor]: Taking taylor expansion of -2.0 in n 9.364 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.364 * [taylor]: Taking taylor expansion of PI in n 9.364 * [taylor]: Taking taylor expansion of n in n 9.382 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 9.382 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 9.382 * [taylor]: Taking taylor expansion of +nan.0 in n 9.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 9.382 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 9.382 * [taylor]: Taking taylor expansion of 0.5 in n 9.382 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 9.382 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.382 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.382 * [taylor]: Taking taylor expansion of k in n 9.382 * [taylor]: Taking taylor expansion of 1.0 in n 9.382 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.382 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.382 * [taylor]: Taking taylor expansion of -2.0 in n 9.382 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.382 * [taylor]: Taking taylor expansion of PI in n 9.382 * [taylor]: Taking taylor expansion of n in n 9.391 * * * [progress]: simplifying candidates 9.438 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1.0 (cbrt (sqrt (sqrt k)))) (/ 1 (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 1.0 (sqrt (cbrt (sqrt k)))) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1.0 (sqrt (sqrt (cbrt k)))) (/ 1 (sqrt (sqrt (sqrt k)))) (/ 1.0 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(* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))) (- (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (- (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))) (- (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) 10.110 * * * [progress]: adding candidates to table 16.523 * [progress]: [Phase 3 of 3] Extracting. 16.524 * * [regime]: Finding splitpoints for: (# # # # # # # #) 16.526 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 16.526 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 16.563 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 16.599 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 16.631 * * * [regime]: Found split indices: #