19.408 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.102 * * * [progress]: [2/2] Setting up program. 0.109 * [progress]: [Phase 2 of 3] Improving. 0.109 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.111 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.113 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.114 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.117 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.123 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.145 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.145 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.146 * * [progress]: iteration 1 / 4 0.146 * * * [progress]: picking best candidate 0.152 * * * * [pick]: Picked # 0.152 * * * [progress]: localizing error 0.165 * * * [progress]: generating rewritten candidates 0.165 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.175 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.181 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.184 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.207 * * * [progress]: generating series expansions 0.207 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.207 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.207 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.207 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.207 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.207 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.207 * [taylor]: Taking taylor expansion of 0.5 in k 0.207 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.208 * [taylor]: Taking taylor expansion of 1.0 in k 0.208 * [taylor]: Taking taylor expansion of k in k 0.208 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.208 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.208 * [taylor]: Taking taylor expansion of 2.0 in k 0.208 * [taylor]: Taking taylor expansion of (* n PI) in k 0.208 * [taylor]: Taking taylor expansion of n in k 0.208 * [taylor]: Taking taylor expansion of PI in k 0.208 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.208 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.208 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.208 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.208 * [taylor]: Taking taylor expansion of 0.5 in n 0.208 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.208 * [taylor]: Taking taylor expansion of 1.0 in n 0.208 * [taylor]: Taking taylor expansion of k in n 0.208 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.208 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.208 * [taylor]: Taking taylor expansion of 2.0 in n 0.208 * [taylor]: Taking taylor expansion of (* n PI) in n 0.208 * [taylor]: Taking taylor expansion of n in n 0.208 * [taylor]: Taking taylor expansion of PI in n 0.209 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.209 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.209 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.209 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.209 * [taylor]: Taking taylor expansion of 0.5 in n 0.209 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.209 * [taylor]: Taking taylor expansion of 1.0 in n 0.209 * [taylor]: Taking taylor expansion of k in n 0.209 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.209 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.209 * [taylor]: Taking taylor expansion of 2.0 in n 0.209 * [taylor]: Taking taylor expansion of (* n PI) in n 0.209 * [taylor]: Taking taylor expansion of n in n 0.209 * [taylor]: Taking taylor expansion of PI in n 0.209 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.209 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.209 * [taylor]: Taking taylor expansion of 0.5 in k 0.209 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.209 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.209 * [taylor]: Taking taylor expansion of 1.0 in k 0.209 * [taylor]: Taking taylor expansion of k in k 0.209 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.209 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.210 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.210 * [taylor]: Taking taylor expansion of 2.0 in k 0.210 * [taylor]: Taking taylor expansion of PI in k 0.210 * [taylor]: Taking taylor expansion of (log n) in k 0.210 * [taylor]: Taking taylor expansion of n in k 0.210 * [taylor]: Taking taylor expansion of 0 in k 0.212 * [taylor]: Taking taylor expansion of 0 in k 0.215 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.215 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.215 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.215 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.215 * [taylor]: Taking taylor expansion of 0.5 in k 0.215 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.215 * [taylor]: Taking taylor expansion of 1.0 in k 0.215 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.215 * [taylor]: Taking taylor expansion of k in k 0.215 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.215 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.215 * [taylor]: Taking taylor expansion of 2.0 in k 0.215 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.215 * [taylor]: Taking taylor expansion of PI in k 0.215 * [taylor]: Taking taylor expansion of n in k 0.216 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.216 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.216 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.216 * [taylor]: Taking taylor expansion of 0.5 in n 0.216 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.216 * [taylor]: Taking taylor expansion of 1.0 in n 0.218 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.219 * [taylor]: Taking taylor expansion of k in n 0.219 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.219 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.219 * [taylor]: Taking taylor expansion of 2.0 in n 0.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.219 * [taylor]: Taking taylor expansion of PI in n 0.219 * [taylor]: Taking taylor expansion of n in n 0.219 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.219 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.219 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.219 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.219 * [taylor]: Taking taylor expansion of 0.5 in n 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.219 * [taylor]: Taking taylor expansion of 1.0 in n 0.219 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.219 * [taylor]: Taking taylor expansion of k in n 0.219 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.219 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.219 * [taylor]: Taking taylor expansion of 2.0 in n 0.219 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.219 * [taylor]: Taking taylor expansion of PI in n 0.219 * [taylor]: Taking taylor expansion of n in n 0.220 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.220 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.220 * [taylor]: Taking taylor expansion of 0.5 in k 0.220 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.220 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.220 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.220 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.220 * [taylor]: Taking taylor expansion of 2.0 in k 0.220 * [taylor]: Taking taylor expansion of PI in k 0.220 * [taylor]: Taking taylor expansion of (log n) in k 0.220 * [taylor]: Taking taylor expansion of n in k 0.220 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.220 * [taylor]: Taking taylor expansion of 1.0 in k 0.220 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.220 * [taylor]: Taking taylor expansion of k in k 0.222 * [taylor]: Taking taylor expansion of 0 in k 0.223 * [taylor]: Taking taylor expansion of 0 in k 0.223 * [taylor]: Taking taylor expansion of 0 in k 0.224 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.224 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.224 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.224 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.224 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.224 * [taylor]: Taking taylor expansion of 0.5 in k 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.224 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.224 * [taylor]: Taking taylor expansion of k in k 0.224 * [taylor]: Taking taylor expansion of 1.0 in k 0.224 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.224 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.224 * [taylor]: Taking taylor expansion of -2.0 in k 0.224 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.224 * [taylor]: Taking taylor expansion of PI in k 0.224 * [taylor]: Taking taylor expansion of n in k 0.224 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.224 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.224 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.224 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.224 * [taylor]: Taking taylor expansion of 0.5 in n 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.225 * [taylor]: Taking taylor expansion of k in n 0.225 * [taylor]: Taking taylor expansion of 1.0 in n 0.225 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.225 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.225 * [taylor]: Taking taylor expansion of -2.0 in n 0.225 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.225 * [taylor]: Taking taylor expansion of PI in n 0.225 * [taylor]: Taking taylor expansion of n in n 0.225 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.225 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.225 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.225 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.225 * [taylor]: Taking taylor expansion of 0.5 in n 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.225 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.225 * [taylor]: Taking taylor expansion of k in n 0.225 * [taylor]: Taking taylor expansion of 1.0 in n 0.225 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.225 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.225 * [taylor]: Taking taylor expansion of -2.0 in n 0.225 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.225 * [taylor]: Taking taylor expansion of PI in n 0.225 * [taylor]: Taking taylor expansion of n in n 0.226 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.226 * [taylor]: Taking taylor expansion of 0.5 in k 0.226 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.226 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.226 * [taylor]: Taking taylor expansion of k in k 0.226 * [taylor]: Taking taylor expansion of 1.0 in k 0.226 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.226 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.226 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.226 * [taylor]: Taking taylor expansion of -2.0 in k 0.226 * [taylor]: Taking taylor expansion of PI in k 0.226 * [taylor]: Taking taylor expansion of (log n) in k 0.226 * [taylor]: Taking taylor expansion of n in k 0.227 * [taylor]: Taking taylor expansion of 0 in k 0.228 * [taylor]: Taking taylor expansion of 0 in k 0.229 * [taylor]: Taking taylor expansion of 0 in k 0.229 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.229 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.229 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.229 * [taylor]: Taking taylor expansion of 2.0 in n 0.229 * [taylor]: Taking taylor expansion of (* n PI) in n 0.229 * [taylor]: Taking taylor expansion of n in n 0.229 * [taylor]: Taking taylor expansion of PI in n 0.229 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.229 * [taylor]: Taking taylor expansion of 2.0 in n 0.229 * [taylor]: Taking taylor expansion of (* n PI) in n 0.229 * [taylor]: Taking taylor expansion of n in n 0.229 * [taylor]: Taking taylor expansion of PI in n 0.230 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.230 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.230 * [taylor]: Taking taylor expansion of 2.0 in n 0.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.230 * [taylor]: Taking taylor expansion of PI in n 0.230 * [taylor]: Taking taylor expansion of n in n 0.230 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.230 * [taylor]: Taking taylor expansion of 2.0 in n 0.230 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.230 * [taylor]: Taking taylor expansion of PI in n 0.230 * [taylor]: Taking taylor expansion of n in n 0.231 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.231 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.231 * [taylor]: Taking taylor expansion of -2.0 in n 0.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.231 * [taylor]: Taking taylor expansion of PI in n 0.231 * [taylor]: Taking taylor expansion of n in n 0.231 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.231 * [taylor]: Taking taylor expansion of -2.0 in n 0.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.231 * [taylor]: Taking taylor expansion of PI in n 0.231 * [taylor]: Taking taylor expansion of n in n 0.231 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.231 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.231 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.231 * [taylor]: Taking taylor expansion of 1.0 in k 0.231 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.231 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.231 * [taylor]: Taking taylor expansion of k in k 0.232 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.232 * [taylor]: Taking taylor expansion of 1.0 in k 0.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.232 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.232 * [taylor]: Taking taylor expansion of k in k 0.233 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.233 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.233 * [taylor]: Taking taylor expansion of 1.0 in k 0.233 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.233 * [taylor]: Taking taylor expansion of k in k 0.233 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.233 * [taylor]: Taking taylor expansion of 1.0 in k 0.233 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.233 * [taylor]: Taking taylor expansion of k in k 0.234 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.234 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.234 * [taylor]: Taking taylor expansion of 1.0 in k 0.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.234 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.234 * [taylor]: Taking taylor expansion of -1 in k 0.234 * [taylor]: Taking taylor expansion of k in k 0.234 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.234 * [taylor]: Taking taylor expansion of 1.0 in k 0.234 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.234 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.234 * [taylor]: Taking taylor expansion of -1 in k 0.234 * [taylor]: Taking taylor expansion of k in k 0.235 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.235 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.235 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.235 * [taylor]: Taking taylor expansion of 1.0 in n 0.235 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.235 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.235 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.235 * [taylor]: Taking taylor expansion of k in n 0.236 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.236 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.236 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.236 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.236 * [taylor]: Taking taylor expansion of 0.5 in n 0.236 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.236 * [taylor]: Taking taylor expansion of 1.0 in n 0.236 * [taylor]: Taking taylor expansion of k in n 0.236 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.236 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.236 * [taylor]: Taking taylor expansion of 2.0 in n 0.236 * [taylor]: Taking taylor expansion of (* n PI) in n 0.236 * [taylor]: Taking taylor expansion of n in n 0.236 * [taylor]: Taking taylor expansion of PI in n 0.236 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.236 * [taylor]: Taking taylor expansion of 1.0 in k 0.236 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.236 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.236 * [taylor]: Taking taylor expansion of k in k 0.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.237 * [taylor]: Taking taylor expansion of 0.5 in k 0.237 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.237 * [taylor]: Taking taylor expansion of 1.0 in k 0.237 * [taylor]: Taking taylor expansion of k in k 0.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.237 * [taylor]: Taking taylor expansion of 2.0 in k 0.237 * [taylor]: Taking taylor expansion of (* n PI) in k 0.237 * [taylor]: Taking taylor expansion of n in k 0.237 * [taylor]: Taking taylor expansion of PI in k 0.237 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.237 * [taylor]: Taking taylor expansion of 1.0 in k 0.237 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.237 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.237 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.237 * [taylor]: Taking taylor expansion of k in k 0.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.237 * [taylor]: Taking taylor expansion of 0.5 in k 0.237 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.237 * [taylor]: Taking taylor expansion of 1.0 in k 0.237 * [taylor]: Taking taylor expansion of k in k 0.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.237 * [taylor]: Taking taylor expansion of 2.0 in k 0.237 * [taylor]: Taking taylor expansion of (* n PI) in k 0.237 * [taylor]: Taking taylor expansion of n in k 0.238 * [taylor]: Taking taylor expansion of PI in k 0.238 * [taylor]: Taking taylor expansion of 0 in n 0.239 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.239 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.239 * [taylor]: Taking taylor expansion of +nan.0 in n 0.239 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.239 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.239 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.239 * [taylor]: Taking taylor expansion of 0.5 in n 0.239 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.239 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.239 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.239 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.239 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.239 * [taylor]: Taking taylor expansion of 1.0 in n 0.239 * [taylor]: Taking taylor expansion of (log PI) in n 0.239 * [taylor]: Taking taylor expansion of PI in n 0.239 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.239 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.240 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.240 * [taylor]: Taking taylor expansion of 1.0 in n 0.240 * [taylor]: Taking taylor expansion of (log n) in n 0.240 * [taylor]: Taking taylor expansion of n in n 0.240 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.240 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.240 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.240 * [taylor]: Taking taylor expansion of 1.0 in n 0.240 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.240 * [taylor]: Taking taylor expansion of 2.0 in n 0.244 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.244 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.244 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.244 * [taylor]: Taking taylor expansion of +nan.0 in n 0.244 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.244 * [taylor]: Taking taylor expansion of 0.5 in n 0.244 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.244 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.244 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.244 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.245 * [taylor]: Taking taylor expansion of 1.0 in n 0.245 * [taylor]: Taking taylor expansion of (log PI) in n 0.245 * [taylor]: Taking taylor expansion of PI in n 0.245 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.245 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.245 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.245 * [taylor]: Taking taylor expansion of 1.0 in n 0.245 * [taylor]: Taking taylor expansion of (log n) in n 0.245 * [taylor]: Taking taylor expansion of n in n 0.245 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.245 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.245 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.245 * [taylor]: Taking taylor expansion of 1.0 in n 0.245 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.245 * [taylor]: Taking taylor expansion of 2.0 in n 0.246 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.246 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.246 * [taylor]: Taking taylor expansion of +nan.0 in n 0.246 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.246 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.246 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.246 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.246 * [taylor]: Taking taylor expansion of 0.5 in n 0.246 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.246 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.246 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.246 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.246 * [taylor]: Taking taylor expansion of 1.0 in n 0.246 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.246 * [taylor]: Taking taylor expansion of 2.0 in n 0.247 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.247 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.247 * [taylor]: Taking taylor expansion of 1.0 in n 0.247 * [taylor]: Taking taylor expansion of (log PI) in n 0.247 * [taylor]: Taking taylor expansion of PI in n 0.247 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.247 * [taylor]: Taking taylor expansion of 1.0 in n 0.247 * [taylor]: Taking taylor expansion of (log n) in n 0.247 * [taylor]: Taking taylor expansion of n in n 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.248 * [taylor]: Taking taylor expansion of 2.0 in n 0.248 * [taylor]: Taking taylor expansion of (* n PI) in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.248 * [taylor]: Taking taylor expansion of PI in n 0.259 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.259 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.259 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.259 * [taylor]: Taking taylor expansion of +nan.0 in n 0.259 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.260 * [taylor]: Taking taylor expansion of 0.5 in n 0.260 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.260 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.260 * [taylor]: Taking taylor expansion of 2.0 in n 0.260 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.260 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of (log n) in n 0.260 * [taylor]: Taking taylor expansion of n in n 0.260 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of (log PI) in n 0.260 * [taylor]: Taking taylor expansion of PI in n 0.261 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.261 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.261 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.261 * [taylor]: Taking taylor expansion of +nan.0 in n 0.261 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.261 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.261 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.261 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.261 * [taylor]: Taking taylor expansion of 0.5 in n 0.261 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.261 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.261 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.261 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.262 * [taylor]: Taking taylor expansion of 1.0 in n 0.262 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.262 * [taylor]: Taking taylor expansion of 2.0 in n 0.262 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.262 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.262 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.262 * [taylor]: Taking taylor expansion of 1.0 in n 0.262 * [taylor]: Taking taylor expansion of (log PI) in n 0.262 * [taylor]: Taking taylor expansion of PI in n 0.262 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.262 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.262 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.262 * [taylor]: Taking taylor expansion of 1.0 in n 0.262 * [taylor]: Taking taylor expansion of (log n) in n 0.262 * [taylor]: Taking taylor expansion of n in n 0.263 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.263 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.263 * [taylor]: Taking taylor expansion of 2.0 in n 0.263 * [taylor]: Taking taylor expansion of (* n PI) in n 0.263 * [taylor]: Taking taylor expansion of n in n 0.263 * [taylor]: Taking taylor expansion of PI in n 0.263 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.263 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.263 * [taylor]: Taking taylor expansion of +nan.0 in n 0.263 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.263 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.263 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.263 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.264 * [taylor]: Taking taylor expansion of 0.5 in n 0.264 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.264 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.264 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.264 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.264 * [taylor]: Taking taylor expansion of 1.0 in n 0.264 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.264 * [taylor]: Taking taylor expansion of 2.0 in n 0.264 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.264 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.264 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.264 * [taylor]: Taking taylor expansion of 1.0 in n 0.264 * [taylor]: Taking taylor expansion of (log PI) in n 0.264 * [taylor]: Taking taylor expansion of PI in n 0.264 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.264 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.264 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.264 * [taylor]: Taking taylor expansion of 1.0 in n 0.264 * [taylor]: Taking taylor expansion of (log n) in n 0.264 * [taylor]: Taking taylor expansion of n in n 0.265 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.265 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.265 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.265 * [taylor]: Taking taylor expansion of 2.0 in n 0.265 * [taylor]: Taking taylor expansion of (* n PI) in n 0.265 * [taylor]: Taking taylor expansion of n in n 0.265 * [taylor]: Taking taylor expansion of PI in n 0.289 * [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 0.289 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.289 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.289 * [taylor]: Taking taylor expansion of 0.5 in n 0.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.289 * [taylor]: Taking taylor expansion of k in n 0.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.289 * [taylor]: Taking taylor expansion of 2.0 in n 0.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.289 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.290 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.290 * [taylor]: Taking taylor expansion of 0.5 in k 0.290 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.290 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.290 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.290 * [taylor]: Taking taylor expansion of 2.0 in k 0.290 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.290 * [taylor]: Taking taylor expansion of PI in k 0.290 * [taylor]: Taking taylor expansion of n in k 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.290 * [taylor]: Taking taylor expansion of 1.0 in k 0.290 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.290 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.290 * [taylor]: Taking taylor expansion of k in k 0.291 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.291 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.291 * [taylor]: Taking taylor expansion of 0.5 in k 0.291 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.291 * [taylor]: Taking taylor expansion of k in k 0.291 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.291 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.291 * [taylor]: Taking taylor expansion of 2.0 in k 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.291 * [taylor]: Taking taylor expansion of PI in k 0.291 * [taylor]: Taking taylor expansion of n in k 0.291 * [taylor]: Taking taylor expansion of 0 in n 0.292 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.292 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.292 * [taylor]: Taking taylor expansion of +nan.0 in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.292 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.292 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.292 * [taylor]: Taking taylor expansion of 2.0 in n 0.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.292 * [taylor]: Taking taylor expansion of n in n 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.292 * [taylor]: Taking taylor expansion of k in n 0.294 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.294 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.294 * [taylor]: Taking taylor expansion of +nan.0 in n 0.294 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.294 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.294 * [taylor]: Taking taylor expansion of 0.5 in n 0.294 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.294 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.294 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.294 * [taylor]: Taking taylor expansion of 2.0 in n 0.294 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.294 * [taylor]: Taking taylor expansion of PI in n 0.294 * [taylor]: Taking taylor expansion of n in n 0.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.294 * [taylor]: Taking taylor expansion of 1.0 in n 0.294 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.294 * [taylor]: Taking taylor expansion of k in n 0.296 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.296 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.296 * [taylor]: Taking taylor expansion of +nan.0 in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.296 * [taylor]: Taking taylor expansion of 0.5 in n 0.296 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.297 * [taylor]: Taking taylor expansion of 2.0 in n 0.297 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.297 * [taylor]: Taking taylor expansion of PI in n 0.297 * [taylor]: Taking taylor expansion of n in n 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.297 * [taylor]: Taking taylor expansion of 1.0 in n 0.297 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.297 * [taylor]: Taking taylor expansion of k in n 0.299 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.299 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.299 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.299 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.299 * [taylor]: Taking taylor expansion of 0.5 in n 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.299 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.299 * [taylor]: Taking taylor expansion of k in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.299 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.299 * [taylor]: Taking taylor expansion of -2.0 in n 0.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.300 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.300 * [taylor]: Taking taylor expansion of -1 in n 0.300 * [taylor]: Taking taylor expansion of k in n 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.300 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.300 * [taylor]: Taking taylor expansion of 0.5 in k 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.300 * [taylor]: Taking taylor expansion of k in k 0.300 * [taylor]: Taking taylor expansion of 1.0 in k 0.300 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.300 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.300 * [taylor]: Taking taylor expansion of -2.0 in k 0.300 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.300 * [taylor]: Taking taylor expansion of PI in k 0.300 * [taylor]: Taking taylor expansion of n in k 0.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.301 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.301 * [taylor]: Taking taylor expansion of -1 in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.301 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.301 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.301 * [taylor]: Taking taylor expansion of 0.5 in k 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.301 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.301 * [taylor]: Taking taylor expansion of 1.0 in k 0.301 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.301 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.301 * [taylor]: Taking taylor expansion of -2.0 in k 0.301 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.301 * [taylor]: Taking taylor expansion of PI in k 0.301 * [taylor]: Taking taylor expansion of n in k 0.301 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.301 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.301 * [taylor]: Taking taylor expansion of -1 in k 0.301 * [taylor]: Taking taylor expansion of k in k 0.302 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.302 * [taylor]: Taking taylor expansion of +nan.0 in n 0.302 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.302 * [taylor]: Taking taylor expansion of 0.5 in n 0.302 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.302 * [taylor]: Taking taylor expansion of k in n 0.302 * [taylor]: Taking taylor expansion of 1.0 in n 0.302 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.302 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.302 * [taylor]: Taking taylor expansion of -2.0 in n 0.302 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.302 * [taylor]: Taking taylor expansion of PI in n 0.302 * [taylor]: Taking taylor expansion of n in n 0.304 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.304 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.304 * [taylor]: Taking taylor expansion of +nan.0 in n 0.304 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.304 * [taylor]: Taking taylor expansion of 0.5 in n 0.304 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.304 * [taylor]: Taking taylor expansion of k in n 0.304 * [taylor]: Taking taylor expansion of 1.0 in n 0.304 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.304 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.304 * [taylor]: Taking taylor expansion of -2.0 in n 0.304 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.304 * [taylor]: Taking taylor expansion of PI in n 0.304 * [taylor]: Taking taylor expansion of n in n 0.306 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.306 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.307 * [taylor]: Taking taylor expansion of +nan.0 in n 0.307 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.307 * [taylor]: Taking taylor expansion of 0.5 in n 0.307 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.307 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.307 * [taylor]: Taking taylor expansion of k in n 0.307 * [taylor]: Taking taylor expansion of 1.0 in n 0.307 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.307 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.307 * [taylor]: Taking taylor expansion of -2.0 in n 0.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.310 * * * [progress]: simplifying candidates 0.313 * [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 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) (+ (- (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 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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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))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (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)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 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)))) 0.406 * * * [progress]: adding candidates to table 1.480 * * [progress]: iteration 2 / 4 1.480 * * * [progress]: picking best candidate 1.546 * * * * [pick]: Picked # 1.546 * * * [progress]: localizing error 1.561 * * * [progress]: generating rewritten candidates 1.561 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.575 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.588 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.594 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.614 * * * [progress]: generating series expansions 1.614 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.614 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.614 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.614 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.615 * [taylor]: Taking taylor expansion of 0.25 in k 1.615 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.615 * [taylor]: Taking taylor expansion of 1.0 in k 1.615 * [taylor]: Taking taylor expansion of k in k 1.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.615 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.615 * [taylor]: Taking taylor expansion of 2.0 in k 1.615 * [taylor]: Taking taylor expansion of (* n PI) in k 1.615 * [taylor]: Taking taylor expansion of n in k 1.615 * [taylor]: Taking taylor expansion of PI in k 1.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.615 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.615 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.615 * [taylor]: Taking taylor expansion of 0.25 in n 1.615 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.615 * [taylor]: Taking taylor expansion of 1.0 in n 1.615 * [taylor]: Taking taylor expansion of k in n 1.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.615 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.615 * [taylor]: Taking taylor expansion of 2.0 in n 1.615 * [taylor]: Taking taylor expansion of (* n PI) in n 1.615 * [taylor]: Taking taylor expansion of n in n 1.615 * [taylor]: Taking taylor expansion of PI in n 1.616 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.616 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.616 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.616 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.616 * [taylor]: Taking taylor expansion of 0.25 in n 1.616 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.616 * [taylor]: Taking taylor expansion of 1.0 in n 1.616 * [taylor]: Taking taylor expansion of k in n 1.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.616 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.616 * [taylor]: Taking taylor expansion of 2.0 in n 1.616 * [taylor]: Taking taylor expansion of (* n PI) in n 1.616 * [taylor]: Taking taylor expansion of n in n 1.616 * [taylor]: Taking taylor expansion of PI in n 1.616 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.616 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.616 * [taylor]: Taking taylor expansion of 0.25 in k 1.616 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.616 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.616 * [taylor]: Taking taylor expansion of 1.0 in k 1.616 * [taylor]: Taking taylor expansion of k in k 1.617 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.617 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.617 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.617 * [taylor]: Taking taylor expansion of 2.0 in k 1.617 * [taylor]: Taking taylor expansion of PI in k 1.617 * [taylor]: Taking taylor expansion of (log n) in k 1.617 * [taylor]: Taking taylor expansion of n in k 1.618 * [taylor]: Taking taylor expansion of 0 in k 1.619 * [taylor]: Taking taylor expansion of 0 in k 1.622 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.622 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.622 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.622 * [taylor]: Taking taylor expansion of 0.25 in k 1.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.622 * [taylor]: Taking taylor expansion of 1.0 in k 1.622 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.622 * [taylor]: Taking taylor expansion of k in k 1.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.622 * [taylor]: Taking taylor expansion of 2.0 in k 1.622 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.622 * [taylor]: Taking taylor expansion of PI in k 1.622 * [taylor]: Taking taylor expansion of n in k 1.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.622 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.622 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.622 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.622 * [taylor]: Taking taylor expansion of 0.25 in n 1.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.622 * [taylor]: Taking taylor expansion of 1.0 in n 1.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.622 * [taylor]: Taking taylor expansion of k in n 1.622 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.622 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.622 * [taylor]: Taking taylor expansion of 2.0 in n 1.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.622 * [taylor]: Taking taylor expansion of PI in n 1.622 * [taylor]: Taking taylor expansion of n in n 1.623 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.623 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.623 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.623 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.623 * [taylor]: Taking taylor expansion of 0.25 in n 1.623 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.623 * [taylor]: Taking taylor expansion of 1.0 in n 1.623 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.623 * [taylor]: Taking taylor expansion of k in n 1.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.623 * [taylor]: Taking taylor expansion of 2.0 in n 1.623 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.623 * [taylor]: Taking taylor expansion of PI in n 1.623 * [taylor]: Taking taylor expansion of n in n 1.624 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.624 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.624 * [taylor]: Taking taylor expansion of 0.25 in k 1.624 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.624 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.624 * [taylor]: Taking taylor expansion of 2.0 in k 1.624 * [taylor]: Taking taylor expansion of PI in k 1.624 * [taylor]: Taking taylor expansion of (log n) in k 1.624 * [taylor]: Taking taylor expansion of n in k 1.624 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.624 * [taylor]: Taking taylor expansion of 1.0 in k 1.624 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.624 * [taylor]: Taking taylor expansion of k in k 1.625 * [taylor]: Taking taylor expansion of 0 in k 1.626 * [taylor]: Taking taylor expansion of 0 in k 1.626 * [taylor]: Taking taylor expansion of 0 in k 1.627 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.627 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.627 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.627 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.627 * [taylor]: Taking taylor expansion of 0.25 in k 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.627 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.627 * [taylor]: Taking taylor expansion of k in k 1.627 * [taylor]: Taking taylor expansion of 1.0 in k 1.627 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.627 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.627 * [taylor]: Taking taylor expansion of -2.0 in k 1.627 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.627 * [taylor]: Taking taylor expansion of PI in k 1.627 * [taylor]: Taking taylor expansion of n in k 1.627 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.627 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.627 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.627 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.627 * [taylor]: Taking taylor expansion of 0.25 in n 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.627 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.627 * [taylor]: Taking taylor expansion of k in n 1.628 * [taylor]: Taking taylor expansion of 1.0 in n 1.628 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.628 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.628 * [taylor]: Taking taylor expansion of -2.0 in n 1.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.628 * [taylor]: Taking taylor expansion of PI in n 1.628 * [taylor]: Taking taylor expansion of n in n 1.628 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.628 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.628 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.628 * [taylor]: Taking taylor expansion of 0.25 in n 1.628 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.628 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.628 * [taylor]: Taking taylor expansion of k in n 1.628 * [taylor]: Taking taylor expansion of 1.0 in n 1.628 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.628 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.628 * [taylor]: Taking taylor expansion of -2.0 in n 1.628 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.628 * [taylor]: Taking taylor expansion of PI in n 1.628 * [taylor]: Taking taylor expansion of n in n 1.629 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.629 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.629 * [taylor]: Taking taylor expansion of 0.25 in k 1.629 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.629 * [taylor]: Taking taylor expansion of k in k 1.629 * [taylor]: Taking taylor expansion of 1.0 in k 1.629 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.629 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.629 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.629 * [taylor]: Taking taylor expansion of -2.0 in k 1.629 * [taylor]: Taking taylor expansion of PI in k 1.629 * [taylor]: Taking taylor expansion of (log n) in k 1.629 * [taylor]: Taking taylor expansion of n in k 1.630 * [taylor]: Taking taylor expansion of 0 in k 1.631 * [taylor]: Taking taylor expansion of 0 in k 1.632 * [taylor]: Taking taylor expansion of 0 in k 1.632 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.632 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.632 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.632 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.632 * [taylor]: Taking taylor expansion of 0.25 in k 1.632 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.632 * [taylor]: Taking taylor expansion of 1.0 in k 1.632 * [taylor]: Taking taylor expansion of k in k 1.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.632 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.632 * [taylor]: Taking taylor expansion of 2.0 in k 1.632 * [taylor]: Taking taylor expansion of (* n PI) in k 1.632 * [taylor]: Taking taylor expansion of n in k 1.632 * [taylor]: Taking taylor expansion of PI in k 1.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.632 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.633 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.633 * [taylor]: Taking taylor expansion of 0.25 in n 1.633 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.633 * [taylor]: Taking taylor expansion of 1.0 in n 1.633 * [taylor]: Taking taylor expansion of k in n 1.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.633 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.633 * [taylor]: Taking taylor expansion of 2.0 in n 1.633 * [taylor]: Taking taylor expansion of (* n PI) in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.633 * [taylor]: Taking taylor expansion of PI in n 1.633 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.633 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.633 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.633 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.633 * [taylor]: Taking taylor expansion of 0.25 in n 1.633 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.633 * [taylor]: Taking taylor expansion of 1.0 in n 1.633 * [taylor]: Taking taylor expansion of k in n 1.633 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.633 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.633 * [taylor]: Taking taylor expansion of 2.0 in n 1.633 * [taylor]: Taking taylor expansion of (* n PI) in n 1.633 * [taylor]: Taking taylor expansion of n in n 1.633 * [taylor]: Taking taylor expansion of PI in n 1.634 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.634 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.634 * [taylor]: Taking taylor expansion of 0.25 in k 1.634 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.634 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.634 * [taylor]: Taking taylor expansion of 1.0 in k 1.634 * [taylor]: Taking taylor expansion of k in k 1.634 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.634 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.634 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.634 * [taylor]: Taking taylor expansion of 2.0 in k 1.634 * [taylor]: Taking taylor expansion of PI in k 1.634 * [taylor]: Taking taylor expansion of (log n) in k 1.634 * [taylor]: Taking taylor expansion of n in k 1.635 * [taylor]: Taking taylor expansion of 0 in k 1.636 * [taylor]: Taking taylor expansion of 0 in k 1.639 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.639 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.639 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.639 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.639 * [taylor]: Taking taylor expansion of 0.25 in k 1.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.639 * [taylor]: Taking taylor expansion of 1.0 in k 1.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.639 * [taylor]: Taking taylor expansion of k in k 1.639 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.639 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.639 * [taylor]: Taking taylor expansion of 2.0 in k 1.639 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.639 * [taylor]: Taking taylor expansion of PI in k 1.639 * [taylor]: Taking taylor expansion of n in k 1.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.640 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.640 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.640 * [taylor]: Taking taylor expansion of 0.25 in n 1.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.640 * [taylor]: Taking taylor expansion of 1.0 in n 1.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.640 * [taylor]: Taking taylor expansion of k in n 1.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.640 * [taylor]: Taking taylor expansion of 2.0 in n 1.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.640 * [taylor]: Taking taylor expansion of PI in n 1.640 * [taylor]: Taking taylor expansion of n in n 1.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.640 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.640 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.640 * [taylor]: Taking taylor expansion of 0.25 in n 1.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.640 * [taylor]: Taking taylor expansion of 1.0 in n 1.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.640 * [taylor]: Taking taylor expansion of k in n 1.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.641 * [taylor]: Taking taylor expansion of 2.0 in n 1.641 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.641 * [taylor]: Taking taylor expansion of PI in n 1.641 * [taylor]: Taking taylor expansion of n in n 1.641 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.641 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.641 * [taylor]: Taking taylor expansion of 0.25 in k 1.641 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.641 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.641 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.641 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.641 * [taylor]: Taking taylor expansion of 2.0 in k 1.641 * [taylor]: Taking taylor expansion of PI in k 1.641 * [taylor]: Taking taylor expansion of (log n) in k 1.641 * [taylor]: Taking taylor expansion of n in k 1.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.641 * [taylor]: Taking taylor expansion of 1.0 in k 1.641 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.641 * [taylor]: Taking taylor expansion of k in k 1.642 * [taylor]: Taking taylor expansion of 0 in k 1.643 * [taylor]: Taking taylor expansion of 0 in k 1.644 * [taylor]: Taking taylor expansion of 0 in k 1.644 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.644 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.644 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.644 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.644 * [taylor]: Taking taylor expansion of 0.25 in k 1.644 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.644 * [taylor]: Taking taylor expansion of k in k 1.644 * [taylor]: Taking taylor expansion of 1.0 in k 1.644 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.644 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.644 * [taylor]: Taking taylor expansion of -2.0 in k 1.644 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.644 * [taylor]: Taking taylor expansion of PI in k 1.644 * [taylor]: Taking taylor expansion of n in k 1.645 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.645 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.645 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.645 * [taylor]: Taking taylor expansion of 0.25 in n 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.645 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.645 * [taylor]: Taking taylor expansion of k in n 1.645 * [taylor]: Taking taylor expansion of 1.0 in n 1.645 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.645 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.645 * [taylor]: Taking taylor expansion of -2.0 in n 1.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.645 * [taylor]: Taking taylor expansion of PI in n 1.645 * [taylor]: Taking taylor expansion of n in n 1.645 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.646 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.646 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.646 * [taylor]: Taking taylor expansion of 0.25 in n 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.646 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.646 * [taylor]: Taking taylor expansion of k in n 1.646 * [taylor]: Taking taylor expansion of 1.0 in n 1.646 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.646 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.646 * [taylor]: Taking taylor expansion of -2.0 in n 1.646 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.646 * [taylor]: Taking taylor expansion of PI in n 1.646 * [taylor]: Taking taylor expansion of n in n 1.646 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.646 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.646 * [taylor]: Taking taylor expansion of 0.25 in k 1.646 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.646 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.646 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.646 * [taylor]: Taking taylor expansion of k in k 1.646 * [taylor]: Taking taylor expansion of 1.0 in k 1.646 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.646 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.646 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.646 * [taylor]: Taking taylor expansion of -2.0 in k 1.647 * [taylor]: Taking taylor expansion of PI in k 1.647 * [taylor]: Taking taylor expansion of (log n) in k 1.647 * [taylor]: Taking taylor expansion of n in k 1.648 * [taylor]: Taking taylor expansion of 0 in k 1.648 * [taylor]: Taking taylor expansion of 0 in k 1.649 * [taylor]: Taking taylor expansion of 0 in k 1.649 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.649 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.649 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.649 * [taylor]: Taking taylor expansion of 2.0 in n 1.649 * [taylor]: Taking taylor expansion of (* n PI) in n 1.649 * [taylor]: Taking taylor expansion of n in n 1.649 * [taylor]: Taking taylor expansion of PI in n 1.649 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.649 * [taylor]: Taking taylor expansion of 2.0 in n 1.649 * [taylor]: Taking taylor expansion of (* n PI) in n 1.649 * [taylor]: Taking taylor expansion of n in n 1.649 * [taylor]: Taking taylor expansion of PI in n 1.650 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.650 * [taylor]: Taking taylor expansion of 2.0 in n 1.650 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.650 * [taylor]: Taking taylor expansion of PI in n 1.650 * [taylor]: Taking taylor expansion of n in n 1.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.650 * [taylor]: Taking taylor expansion of 2.0 in n 1.650 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.650 * [taylor]: Taking taylor expansion of PI in n 1.650 * [taylor]: Taking taylor expansion of n in n 1.651 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.651 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.651 * [taylor]: Taking taylor expansion of -2.0 in n 1.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.651 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.651 * [taylor]: Taking taylor expansion of -2.0 in n 1.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.652 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.652 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.652 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.652 * [taylor]: Taking taylor expansion of 2.0 in n 1.652 * [taylor]: Taking taylor expansion of (* n PI) in n 1.652 * [taylor]: Taking taylor expansion of n in n 1.652 * [taylor]: Taking taylor expansion of PI in n 1.652 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.652 * [taylor]: Taking taylor expansion of 2.0 in n 1.652 * [taylor]: Taking taylor expansion of (* n PI) in n 1.652 * [taylor]: Taking taylor expansion of n in n 1.652 * [taylor]: Taking taylor expansion of PI in n 1.652 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.652 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.652 * [taylor]: Taking taylor expansion of 2.0 in n 1.652 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.652 * [taylor]: Taking taylor expansion of PI in n 1.652 * [taylor]: Taking taylor expansion of n in n 1.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.653 * [taylor]: Taking taylor expansion of 2.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.653 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of n in n 1.653 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.653 * [taylor]: Taking taylor expansion of -2.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.653 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of n in n 1.653 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.653 * [taylor]: Taking taylor expansion of -2.0 in n 1.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.653 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of n in n 1.654 * * * [progress]: simplifying candidates 1.656 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 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(- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.725 * * * [progress]: adding candidates to table 3.710 * * [progress]: iteration 3 / 4 3.710 * * * [progress]: picking best candidate 3.783 * * * * [pick]: Picked # 3.784 * * * [progress]: localizing error 3.806 * * * [progress]: generating rewritten candidates 3.806 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.819 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 3.829 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.835 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.850 * * * [progress]: generating series expansions 3.850 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.851 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.851 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.851 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.851 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.851 * [taylor]: Taking taylor expansion of 0.25 in k 3.851 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.851 * [taylor]: Taking taylor expansion of 1.0 in k 3.851 * [taylor]: Taking taylor expansion of k in k 3.851 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.851 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.851 * [taylor]: Taking taylor expansion of 2.0 in k 3.851 * [taylor]: Taking taylor expansion of (* n PI) in k 3.851 * [taylor]: Taking taylor expansion of n in k 3.851 * [taylor]: Taking taylor expansion of PI in k 3.851 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.851 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.851 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.851 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.851 * [taylor]: Taking taylor expansion of 0.25 in n 3.851 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.851 * [taylor]: Taking taylor expansion of 1.0 in n 3.851 * [taylor]: Taking taylor expansion of k in n 3.851 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.851 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.851 * [taylor]: Taking taylor expansion of 2.0 in n 3.851 * [taylor]: Taking taylor expansion of (* n PI) in n 3.851 * [taylor]: Taking taylor expansion of n in n 3.851 * [taylor]: Taking taylor expansion of PI in n 3.852 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.852 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.852 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.852 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.852 * [taylor]: Taking taylor expansion of 0.25 in n 3.852 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.852 * [taylor]: Taking taylor expansion of 1.0 in n 3.852 * [taylor]: Taking taylor expansion of k in n 3.852 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.852 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.852 * [taylor]: Taking taylor expansion of 2.0 in n 3.852 * [taylor]: Taking taylor expansion of (* n PI) in n 3.852 * [taylor]: Taking taylor expansion of n in n 3.852 * [taylor]: Taking taylor expansion of PI in n 3.853 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.853 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.853 * [taylor]: Taking taylor expansion of 0.25 in k 3.853 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.853 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.853 * [taylor]: Taking taylor expansion of 1.0 in k 3.853 * [taylor]: Taking taylor expansion of k in k 3.853 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.853 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.853 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.853 * [taylor]: Taking taylor expansion of 2.0 in k 3.853 * [taylor]: Taking taylor expansion of PI in k 3.853 * [taylor]: Taking taylor expansion of (log n) in k 3.853 * [taylor]: Taking taylor expansion of n in k 3.854 * [taylor]: Taking taylor expansion of 0 in k 3.855 * [taylor]: Taking taylor expansion of 0 in k 3.858 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.858 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.858 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.858 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.858 * [taylor]: Taking taylor expansion of 0.25 in k 3.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.858 * [taylor]: Taking taylor expansion of 1.0 in k 3.858 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.858 * [taylor]: Taking taylor expansion of k in k 3.858 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.858 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.858 * [taylor]: Taking taylor expansion of 2.0 in k 3.858 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.858 * [taylor]: Taking taylor expansion of PI in k 3.858 * [taylor]: Taking taylor expansion of n in k 3.858 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.858 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.858 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.858 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.858 * [taylor]: Taking taylor expansion of 0.25 in n 3.858 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.858 * [taylor]: Taking taylor expansion of 1.0 in n 3.858 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.858 * [taylor]: Taking taylor expansion of k in n 3.859 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.859 * [taylor]: Taking taylor expansion of 2.0 in n 3.859 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.859 * [taylor]: Taking taylor expansion of PI in n 3.859 * [taylor]: Taking taylor expansion of n in n 3.859 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.859 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.859 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.859 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.859 * [taylor]: Taking taylor expansion of 0.25 in n 3.859 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.859 * [taylor]: Taking taylor expansion of 1.0 in n 3.859 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.859 * [taylor]: Taking taylor expansion of k in n 3.859 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.859 * [taylor]: Taking taylor expansion of 2.0 in n 3.859 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.859 * [taylor]: Taking taylor expansion of PI in n 3.859 * [taylor]: Taking taylor expansion of n in n 3.860 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.860 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.860 * [taylor]: Taking taylor expansion of 0.25 in k 3.860 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.860 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.860 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.860 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.860 * [taylor]: Taking taylor expansion of 2.0 in k 3.860 * [taylor]: Taking taylor expansion of PI in k 3.860 * [taylor]: Taking taylor expansion of (log n) in k 3.860 * [taylor]: Taking taylor expansion of n in k 3.860 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.860 * [taylor]: Taking taylor expansion of 1.0 in k 3.860 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.860 * [taylor]: Taking taylor expansion of k in k 3.861 * [taylor]: Taking taylor expansion of 0 in k 3.862 * [taylor]: Taking taylor expansion of 0 in k 3.863 * [taylor]: Taking taylor expansion of 0 in k 3.863 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.863 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.863 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.863 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.863 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.863 * [taylor]: Taking taylor expansion of 0.25 in k 3.863 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.863 * [taylor]: Taking taylor expansion of k in k 3.863 * [taylor]: Taking taylor expansion of 1.0 in k 3.863 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.863 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.863 * [taylor]: Taking taylor expansion of -2.0 in k 3.863 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.863 * [taylor]: Taking taylor expansion of PI in k 3.863 * [taylor]: Taking taylor expansion of n in k 3.864 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.864 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.864 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.864 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.864 * [taylor]: Taking taylor expansion of 0.25 in n 3.864 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.864 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.864 * [taylor]: Taking taylor expansion of k in n 3.864 * [taylor]: Taking taylor expansion of 1.0 in n 3.864 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.864 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.864 * [taylor]: Taking taylor expansion of -2.0 in n 3.864 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.864 * [taylor]: Taking taylor expansion of PI in n 3.864 * [taylor]: Taking taylor expansion of n in n 3.864 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.864 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.864 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.864 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.864 * [taylor]: Taking taylor expansion of 0.25 in n 3.864 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.864 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.864 * [taylor]: Taking taylor expansion of k in n 3.865 * [taylor]: Taking taylor expansion of 1.0 in n 3.865 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.865 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.865 * [taylor]: Taking taylor expansion of -2.0 in n 3.865 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.865 * [taylor]: Taking taylor expansion of PI in n 3.865 * [taylor]: Taking taylor expansion of n in n 3.865 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.865 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.865 * [taylor]: Taking taylor expansion of 0.25 in k 3.865 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.865 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.865 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.865 * [taylor]: Taking taylor expansion of k in k 3.865 * [taylor]: Taking taylor expansion of 1.0 in k 3.865 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.865 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.865 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.865 * [taylor]: Taking taylor expansion of -2.0 in k 3.865 * [taylor]: Taking taylor expansion of PI in k 3.865 * [taylor]: Taking taylor expansion of (log n) in k 3.865 * [taylor]: Taking taylor expansion of n in k 3.866 * [taylor]: Taking taylor expansion of 0 in k 3.867 * [taylor]: Taking taylor expansion of 0 in k 3.868 * [taylor]: Taking taylor expansion of 0 in k 3.868 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 3.868 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 3.868 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 3.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 3.868 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 3.868 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.868 * [taylor]: Taking taylor expansion of 0.25 in k 3.868 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.868 * [taylor]: Taking taylor expansion of 1.0 in k 3.868 * [taylor]: Taking taylor expansion of k in k 3.868 * [taylor]: Taking taylor expansion of (log n) in k 3.868 * [taylor]: Taking taylor expansion of n in k 3.869 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.869 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.869 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.869 * [taylor]: Taking taylor expansion of 0.25 in n 3.869 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.869 * [taylor]: Taking taylor expansion of 1.0 in n 3.869 * [taylor]: Taking taylor expansion of k in n 3.869 * [taylor]: Taking taylor expansion of (log n) in n 3.869 * [taylor]: Taking taylor expansion of n in n 3.869 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.869 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.869 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.869 * [taylor]: Taking taylor expansion of 0.25 in n 3.869 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.869 * [taylor]: Taking taylor expansion of 1.0 in n 3.869 * [taylor]: Taking taylor expansion of k in n 3.869 * [taylor]: Taking taylor expansion of (log n) in n 3.869 * [taylor]: Taking taylor expansion of n in n 3.869 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 3.869 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 3.869 * [taylor]: Taking taylor expansion of 0.25 in k 3.869 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.869 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.869 * [taylor]: Taking taylor expansion of 1.0 in k 3.869 * [taylor]: Taking taylor expansion of k in k 3.869 * [taylor]: Taking taylor expansion of (log n) in k 3.869 * [taylor]: Taking taylor expansion of n in k 3.870 * [taylor]: Taking taylor expansion of 0 in k 3.871 * [taylor]: Taking taylor expansion of 0 in k 3.872 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.872 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.872 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.872 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.872 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.872 * [taylor]: Taking taylor expansion of 0.25 in k 3.872 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.872 * [taylor]: Taking taylor expansion of 1.0 in k 3.872 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.872 * [taylor]: Taking taylor expansion of k in k 3.872 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 3.872 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.872 * [taylor]: Taking taylor expansion of n in k 3.873 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.873 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.873 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.873 * [taylor]: Taking taylor expansion of 0.25 in n 3.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.873 * [taylor]: Taking taylor expansion of 1.0 in n 3.873 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.873 * [taylor]: Taking taylor expansion of k in n 3.873 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.873 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.873 * [taylor]: Taking taylor expansion of n in n 3.873 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.873 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.873 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.873 * [taylor]: Taking taylor expansion of 0.25 in n 3.873 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.873 * [taylor]: Taking taylor expansion of 1.0 in n 3.873 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.873 * [taylor]: Taking taylor expansion of k in n 3.873 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.873 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.873 * [taylor]: Taking taylor expansion of n in n 3.874 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 3.874 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 3.874 * [taylor]: Taking taylor expansion of -0.25 in k 3.874 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.874 * [taylor]: Taking taylor expansion of (log n) in k 3.874 * [taylor]: Taking taylor expansion of n in k 3.874 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.874 * [taylor]: Taking taylor expansion of 1.0 in k 3.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.874 * [taylor]: Taking taylor expansion of k in k 3.875 * [taylor]: Taking taylor expansion of 0 in k 3.875 * [taylor]: Taking taylor expansion of 0 in k 3.876 * [taylor]: Taking taylor expansion of 0 in k 3.876 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.876 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.876 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.876 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.876 * [taylor]: Taking taylor expansion of 0.25 in k 3.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.876 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.876 * [taylor]: Taking taylor expansion of k in k 3.876 * [taylor]: Taking taylor expansion of 1.0 in k 3.876 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.876 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.876 * [taylor]: Taking taylor expansion of -1 in k 3.876 * [taylor]: Taking taylor expansion of n in k 3.876 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.876 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.876 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.876 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.876 * [taylor]: Taking taylor expansion of 0.25 in n 3.876 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.876 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.876 * [taylor]: Taking taylor expansion of k in n 3.877 * [taylor]: Taking taylor expansion of 1.0 in n 3.877 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.877 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.877 * [taylor]: Taking taylor expansion of -1 in n 3.877 * [taylor]: Taking taylor expansion of n in n 3.877 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.877 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.877 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.877 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.877 * [taylor]: Taking taylor expansion of 0.25 in n 3.877 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.877 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.877 * [taylor]: Taking taylor expansion of k in n 3.877 * [taylor]: Taking taylor expansion of 1.0 in n 3.877 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.877 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.877 * [taylor]: Taking taylor expansion of -1 in n 3.877 * [taylor]: Taking taylor expansion of n in n 3.878 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.878 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.878 * [taylor]: Taking taylor expansion of 0.25 in k 3.878 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.878 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.878 * [taylor]: Taking taylor expansion of (log -1) in k 3.878 * [taylor]: Taking taylor expansion of -1 in k 3.878 * [taylor]: Taking taylor expansion of (log n) in k 3.878 * [taylor]: Taking taylor expansion of n in k 3.878 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.878 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.878 * [taylor]: Taking taylor expansion of k in k 3.878 * [taylor]: Taking taylor expansion of 1.0 in k 3.879 * [taylor]: Taking taylor expansion of 0 in k 3.879 * [taylor]: Taking taylor expansion of 0 in k 3.880 * [taylor]: Taking taylor expansion of 0 in k 3.880 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.880 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.880 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.880 * [taylor]: Taking taylor expansion of 2.0 in n 3.880 * [taylor]: Taking taylor expansion of (* n PI) in n 3.880 * [taylor]: Taking taylor expansion of n in n 3.880 * [taylor]: Taking taylor expansion of PI in n 3.880 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.880 * [taylor]: Taking taylor expansion of 2.0 in n 3.880 * [taylor]: Taking taylor expansion of (* n PI) in n 3.880 * [taylor]: Taking taylor expansion of n in n 3.880 * [taylor]: Taking taylor expansion of PI in n 3.881 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.881 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.881 * [taylor]: Taking taylor expansion of 2.0 in n 3.881 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.881 * [taylor]: Taking taylor expansion of PI in n 3.881 * [taylor]: Taking taylor expansion of n in n 3.881 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.881 * [taylor]: Taking taylor expansion of 2.0 in n 3.881 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.881 * [taylor]: Taking taylor expansion of PI in n 3.881 * [taylor]: Taking taylor expansion of n in n 3.882 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.882 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.882 * [taylor]: Taking taylor expansion of -2.0 in n 3.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.882 * [taylor]: Taking taylor expansion of PI in n 3.882 * [taylor]: Taking taylor expansion of n in n 3.882 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.882 * [taylor]: Taking taylor expansion of -2.0 in n 3.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.882 * [taylor]: Taking taylor expansion of PI in n 3.882 * [taylor]: Taking taylor expansion of n in n 3.882 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.883 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.883 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.883 * [taylor]: Taking taylor expansion of 1.0 in k 3.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.883 * [taylor]: Taking taylor expansion of k in k 3.883 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.883 * [taylor]: Taking taylor expansion of 1.0 in k 3.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.883 * [taylor]: Taking taylor expansion of k in k 3.884 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.884 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.884 * [taylor]: Taking taylor expansion of 1.0 in k 3.884 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.884 * [taylor]: Taking taylor expansion of k in k 3.884 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.884 * [taylor]: Taking taylor expansion of 1.0 in k 3.884 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.884 * [taylor]: Taking taylor expansion of k in k 3.885 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.885 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.885 * [taylor]: Taking taylor expansion of 1.0 in k 3.885 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.885 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.885 * [taylor]: Taking taylor expansion of -1 in k 3.885 * [taylor]: Taking taylor expansion of k in k 3.885 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.885 * [taylor]: Taking taylor expansion of 1.0 in k 3.885 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.885 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.885 * [taylor]: Taking taylor expansion of -1 in k 3.885 * [taylor]: Taking taylor expansion of k in k 3.886 * * * [progress]: simplifying candidates 3.889 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* 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(cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (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) 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n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 3.900 * * [simplify]: iteration 0 : 1105 enodes (cost 1637 ) 3.917 * * [simplify]: 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(* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (pow n (/ (/ 1.0 2.0) 2)) (pow n (/ (/ k 2.0) 2)) (pow n (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow n (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow n (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow n (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow n (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow n (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow n (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow n (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow n (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow n (/ (/ 1 (sqrt 2.0)) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) n (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) n (pow n (/ (- 1.0 k) 2.0)) (pow (* (cbrt n) (cbrt n)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (cbrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (sqrt n) (/ (/ (- 1.0 k) 2.0) 2)) 1 (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow n (/ (/ (/ (- 1.0 k) 2.0) 2) 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) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 3.981 * * * [progress]: adding candidates to table 6.439 * * [progress]: iteration 4 / 4 6.439 * * * [progress]: picking best candidate 6.507 * * * * [pick]: Picked # 6.507 * * * [progress]: localizing error 6.531 * * * [progress]: generating rewritten candidates 6.531 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 2) 6.536 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.552 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.559 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 6.570 * * * [progress]: generating series expansions 6.570 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 2) 6.570 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* -0.25 (- 1.0 k))) in (n k) around 0 6.570 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.25 (- 1.0 k))) in k 6.570 * [taylor]: Taking taylor expansion of (exp (* (* -0.25 (- 1.0 k)) (log (/ 1 n)))) in k 6.570 * [taylor]: Taking taylor expansion of (* (* -0.25 (- 1.0 k)) (log (/ 1 n))) in k 6.570 * [taylor]: Taking taylor expansion of (* -0.25 (- 1.0 k)) in k 6.570 * [taylor]: Taking taylor expansion of -0.25 in k 6.570 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.570 * [taylor]: Taking taylor expansion of 1.0 in k 6.570 * [taylor]: Taking taylor expansion of k in k 6.570 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.570 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.570 * [taylor]: Taking taylor expansion of n in k 6.570 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.25 (- 1.0 k))) in n 6.570 * [taylor]: Taking taylor expansion of (exp (* (* -0.25 (- 1.0 k)) (log (/ 1 n)))) in n 6.570 * [taylor]: Taking taylor expansion of (* (* -0.25 (- 1.0 k)) (log (/ 1 n))) in n 6.570 * [taylor]: Taking taylor expansion of (* -0.25 (- 1.0 k)) in n 6.570 * [taylor]: Taking taylor expansion of -0.25 in n 6.570 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.570 * [taylor]: Taking taylor expansion of 1.0 in n 6.570 * [taylor]: Taking taylor expansion of k in n 6.571 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.571 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.571 * [taylor]: Taking taylor expansion of n in n 6.571 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* -0.25 (- 1.0 k))) in n 6.571 * [taylor]: Taking taylor expansion of (exp (* (* -0.25 (- 1.0 k)) (log (/ 1 n)))) in n 6.571 * [taylor]: Taking taylor expansion of (* (* -0.25 (- 1.0 k)) (log (/ 1 n))) in n 6.571 * [taylor]: Taking taylor expansion of (* -0.25 (- 1.0 k)) in n 6.571 * [taylor]: Taking taylor expansion of -0.25 in n 6.571 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.571 * [taylor]: Taking taylor expansion of 1.0 in n 6.571 * [taylor]: Taking taylor expansion of k in n 6.571 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.571 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.571 * [taylor]: Taking taylor expansion of n in n 6.571 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 6.571 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 6.571 * [taylor]: Taking taylor expansion of 0.25 in k 6.571 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 6.571 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.571 * [taylor]: Taking taylor expansion of 1.0 in k 6.571 * [taylor]: Taking taylor expansion of k in k 6.571 * [taylor]: Taking taylor expansion of (log n) in k 6.571 * [taylor]: Taking taylor expansion of n in k 6.572 * [taylor]: Taking taylor expansion of 0 in k 6.573 * [taylor]: Taking taylor expansion of 0 in k 6.574 * [approximate]: Taking taylor expansion of (pow n (* -0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 6.574 * [taylor]: Taking taylor expansion of (pow n (* -0.25 (- 1.0 (/ 1 k)))) in k 6.574 * [taylor]: Taking taylor expansion of (exp (* (* -0.25 (- 1.0 (/ 1 k))) (log n))) in k 6.574 * [taylor]: Taking taylor expansion of (* (* -0.25 (- 1.0 (/ 1 k))) (log n)) in k 6.574 * [taylor]: Taking taylor expansion of (* -0.25 (- 1.0 (/ 1 k))) in k 6.574 * [taylor]: Taking taylor expansion of -0.25 in k 6.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.574 * [taylor]: Taking taylor expansion of 1.0 in k 6.574 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.574 * [taylor]: Taking taylor expansion of k in k 6.574 * [taylor]: Taking taylor expansion of (log n) in k 6.574 * [taylor]: Taking taylor expansion of n in k 6.575 * [taylor]: Taking taylor expansion of (pow n (* -0.25 (- 1.0 (/ 1 k)))) in n 6.575 * [taylor]: Taking taylor expansion of (exp (* (* -0.25 (- 1.0 (/ 1 k))) (log n))) in n 6.575 * [taylor]: Taking taylor expansion of (* (* -0.25 (- 1.0 (/ 1 k))) (log n)) in n 6.575 * [taylor]: Taking taylor expansion of (* -0.25 (- 1.0 (/ 1 k))) in n 6.575 * [taylor]: Taking taylor expansion of -0.25 in n 6.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.575 * [taylor]: Taking taylor expansion of 1.0 in n 6.575 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.575 * [taylor]: Taking taylor expansion of k in n 6.575 * [taylor]: Taking taylor expansion of (log n) in n 6.575 * [taylor]: Taking taylor expansion of n in n 6.575 * [taylor]: Taking taylor expansion of (pow n (* -0.25 (- 1.0 (/ 1 k)))) in n 6.575 * [taylor]: Taking taylor expansion of (exp (* (* -0.25 (- 1.0 (/ 1 k))) (log n))) in n 6.575 * [taylor]: Taking taylor expansion of (* (* -0.25 (- 1.0 (/ 1 k))) (log n)) in n 6.575 * [taylor]: Taking taylor expansion of (* -0.25 (- 1.0 (/ 1 k))) in n 6.575 * [taylor]: Taking taylor expansion of -0.25 in n 6.575 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.575 * [taylor]: Taking taylor expansion of 1.0 in n 6.575 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.575 * [taylor]: Taking taylor expansion of k in n 6.575 * [taylor]: Taking taylor expansion of (log n) in n 6.575 * [taylor]: Taking taylor expansion of n in n 6.576 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 6.576 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 6.576 * [taylor]: Taking taylor expansion of -0.25 in k 6.576 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 6.576 * [taylor]: Taking taylor expansion of (log n) in k 6.576 * [taylor]: Taking taylor expansion of n in k 6.576 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.576 * [taylor]: Taking taylor expansion of 1.0 in k 6.576 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.576 * [taylor]: Taking taylor expansion of k in k 6.576 * [taylor]: Taking taylor expansion of 0 in k 6.577 * [taylor]: Taking taylor expansion of 0 in k 6.577 * [taylor]: Taking taylor expansion of 0 in k 6.578 * [approximate]: Taking taylor expansion of (pow (* -1 n) (* -0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 6.578 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.25 (+ (/ 1 k) 1.0))) in k 6.578 * [taylor]: Taking taylor expansion of (exp (* (* -0.25 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in k 6.578 * [taylor]: Taking taylor expansion of (* (* -0.25 (+ (/ 1 k) 1.0)) (log (* -1 n))) in k 6.578 * [taylor]: Taking taylor expansion of (* -0.25 (+ (/ 1 k) 1.0)) in k 6.578 * [taylor]: Taking taylor expansion of -0.25 in k 6.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.578 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.578 * [taylor]: Taking taylor expansion of k in k 6.578 * [taylor]: Taking taylor expansion of 1.0 in k 6.578 * [taylor]: Taking taylor expansion of (log (* -1 n)) in k 6.578 * [taylor]: Taking taylor expansion of (* -1 n) in k 6.578 * [taylor]: Taking taylor expansion of -1 in k 6.578 * [taylor]: Taking taylor expansion of n in k 6.578 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.25 (+ (/ 1 k) 1.0))) in n 6.578 * [taylor]: Taking taylor expansion of (exp (* (* -0.25 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in n 6.578 * [taylor]: Taking taylor expansion of (* (* -0.25 (+ (/ 1 k) 1.0)) (log (* -1 n))) in n 6.578 * [taylor]: Taking taylor expansion of (* -0.25 (+ (/ 1 k) 1.0)) in n 6.578 * [taylor]: Taking taylor expansion of -0.25 in n 6.578 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.578 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.578 * [taylor]: Taking taylor expansion of k in n 6.578 * [taylor]: Taking taylor expansion of 1.0 in n 6.578 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 6.578 * [taylor]: Taking taylor expansion of (* -1 n) in n 6.578 * [taylor]: Taking taylor expansion of -1 in n 6.578 * [taylor]: Taking taylor expansion of n in n 6.579 * [taylor]: Taking taylor expansion of (pow (* -1 n) (* -0.25 (+ (/ 1 k) 1.0))) in n 6.579 * [taylor]: Taking taylor expansion of (exp (* (* -0.25 (+ (/ 1 k) 1.0)) (log (* -1 n)))) in n 6.579 * [taylor]: Taking taylor expansion of (* (* -0.25 (+ (/ 1 k) 1.0)) (log (* -1 n))) in n 6.579 * [taylor]: Taking taylor expansion of (* -0.25 (+ (/ 1 k) 1.0)) in n 6.579 * [taylor]: Taking taylor expansion of -0.25 in n 6.579 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.579 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.579 * [taylor]: Taking taylor expansion of k in n 6.579 * [taylor]: Taking taylor expansion of 1.0 in n 6.579 * [taylor]: Taking taylor expansion of (log (* -1 n)) in n 6.579 * [taylor]: Taking taylor expansion of (* -1 n) in n 6.579 * [taylor]: Taking taylor expansion of -1 in n 6.579 * [taylor]: Taking taylor expansion of n in n 6.579 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 6.579 * [taylor]: Taking taylor expansion of (* -0.25 (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 6.579 * [taylor]: Taking taylor expansion of -0.25 in k 6.579 * [taylor]: Taking taylor expansion of (* (+ (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 6.579 * [taylor]: Taking taylor expansion of (+ (log -1) (log n)) in k 6.579 * [taylor]: Taking taylor expansion of (log -1) in k 6.579 * [taylor]: Taking taylor expansion of -1 in k 6.580 * [taylor]: Taking taylor expansion of (log n) in k 6.580 * [taylor]: Taking taylor expansion of n in k 6.580 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.580 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.580 * [taylor]: Taking taylor expansion of k in k 6.580 * [taylor]: Taking taylor expansion of 1.0 in k 6.580 * [taylor]: Taking taylor expansion of 0 in k 6.581 * [taylor]: Taking taylor expansion of 0 in k 6.582 * [taylor]: Taking taylor expansion of 0 in k 6.582 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.582 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 6.582 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 6.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.582 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.582 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 6.582 * [taylor]: Taking taylor expansion of 0.25 in k 6.582 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.582 * [taylor]: Taking taylor expansion of 1.0 in k 6.582 * [taylor]: Taking taylor expansion of k in k 6.582 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.582 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.582 * [taylor]: Taking taylor expansion of 2.0 in k 6.582 * [taylor]: Taking taylor expansion of (* n PI) in k 6.582 * [taylor]: Taking taylor expansion of n in k 6.582 * [taylor]: Taking taylor expansion of PI in k 6.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 6.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.583 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.583 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 6.583 * [taylor]: Taking taylor expansion of 0.25 in n 6.583 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.583 * [taylor]: Taking taylor expansion of 1.0 in n 6.583 * [taylor]: Taking taylor expansion of k in n 6.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.583 * [taylor]: Taking taylor expansion of 2.0 in n 6.583 * [taylor]: Taking taylor expansion of (* n PI) in n 6.583 * [taylor]: Taking taylor expansion of n in n 6.583 * [taylor]: Taking taylor expansion of PI in n 6.583 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 6.583 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.583 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.583 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 6.583 * [taylor]: Taking taylor expansion of 0.25 in n 6.583 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.583 * [taylor]: Taking taylor expansion of 1.0 in n 6.583 * [taylor]: Taking taylor expansion of k in n 6.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.583 * [taylor]: Taking taylor expansion of 2.0 in n 6.583 * [taylor]: Taking taylor expansion of (* n PI) in n 6.583 * [taylor]: Taking taylor expansion of n in n 6.583 * [taylor]: Taking taylor expansion of PI in n 6.584 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.584 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.584 * [taylor]: Taking taylor expansion of 0.25 in k 6.584 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.584 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.584 * [taylor]: Taking taylor expansion of 1.0 in k 6.584 * [taylor]: Taking taylor expansion of k in k 6.584 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.584 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.584 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.584 * [taylor]: Taking taylor expansion of 2.0 in k 6.584 * [taylor]: Taking taylor expansion of PI in k 6.584 * [taylor]: Taking taylor expansion of (log n) in k 6.584 * [taylor]: Taking taylor expansion of n in k 6.585 * [taylor]: Taking taylor expansion of 0 in k 6.586 * [taylor]: Taking taylor expansion of 0 in k 6.589 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 6.589 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 6.589 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.589 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.589 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 6.589 * [taylor]: Taking taylor expansion of 0.25 in k 6.589 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.589 * [taylor]: Taking taylor expansion of 1.0 in k 6.589 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.589 * [taylor]: Taking taylor expansion of k in k 6.589 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.589 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.589 * [taylor]: Taking taylor expansion of 2.0 in k 6.590 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.590 * [taylor]: Taking taylor expansion of PI in k 6.590 * [taylor]: Taking taylor expansion of n in k 6.590 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 6.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.590 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.590 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 6.590 * [taylor]: Taking taylor expansion of 0.25 in n 6.590 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.590 * [taylor]: Taking taylor expansion of 1.0 in n 6.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.590 * [taylor]: Taking taylor expansion of k in n 6.590 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.590 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.590 * [taylor]: Taking taylor expansion of 2.0 in n 6.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.590 * [taylor]: Taking taylor expansion of PI in n 6.590 * [taylor]: Taking taylor expansion of n in n 6.591 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 6.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.591 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.591 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 6.591 * [taylor]: Taking taylor expansion of 0.25 in n 6.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.591 * [taylor]: Taking taylor expansion of 1.0 in n 6.591 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.591 * [taylor]: Taking taylor expansion of k in n 6.591 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.591 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.591 * [taylor]: Taking taylor expansion of 2.0 in n 6.591 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.591 * [taylor]: Taking taylor expansion of PI in n 6.591 * [taylor]: Taking taylor expansion of n in n 6.591 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.591 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.591 * [taylor]: Taking taylor expansion of 0.25 in k 6.591 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.591 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.591 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.592 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.592 * [taylor]: Taking taylor expansion of 2.0 in k 6.592 * [taylor]: Taking taylor expansion of PI in k 6.592 * [taylor]: Taking taylor expansion of (log n) in k 6.592 * [taylor]: Taking taylor expansion of n in k 6.592 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.592 * [taylor]: Taking taylor expansion of 1.0 in k 6.592 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.592 * [taylor]: Taking taylor expansion of k in k 6.593 * [taylor]: Taking taylor expansion of 0 in k 6.593 * [taylor]: Taking taylor expansion of 0 in k 6.594 * [taylor]: Taking taylor expansion of 0 in k 6.595 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 6.595 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 6.595 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.595 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.595 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 6.595 * [taylor]: Taking taylor expansion of 0.25 in k 6.595 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.595 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.595 * [taylor]: Taking taylor expansion of k in k 6.595 * [taylor]: Taking taylor expansion of 1.0 in k 6.595 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.595 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.595 * [taylor]: Taking taylor expansion of -2.0 in k 6.595 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.595 * [taylor]: Taking taylor expansion of PI in k 6.595 * [taylor]: Taking taylor expansion of n in k 6.595 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 6.595 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.595 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.595 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 6.595 * [taylor]: Taking taylor expansion of 0.25 in n 6.595 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.595 * [taylor]: Taking taylor expansion of k in n 6.595 * [taylor]: Taking taylor expansion of 1.0 in n 6.595 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.595 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.595 * [taylor]: Taking taylor expansion of -2.0 in n 6.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.595 * [taylor]: Taking taylor expansion of PI in n 6.595 * [taylor]: Taking taylor expansion of n in n 6.596 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 6.596 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.596 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.596 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 6.596 * [taylor]: Taking taylor expansion of 0.25 in n 6.596 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.596 * [taylor]: Taking taylor expansion of k in n 6.596 * [taylor]: Taking taylor expansion of 1.0 in n 6.596 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.596 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.596 * [taylor]: Taking taylor expansion of -2.0 in n 6.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.596 * [taylor]: Taking taylor expansion of PI in n 6.596 * [taylor]: Taking taylor expansion of n in n 6.597 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.597 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.597 * [taylor]: Taking taylor expansion of 0.25 in k 6.597 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.597 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.597 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.597 * [taylor]: Taking taylor expansion of k in k 6.597 * [taylor]: Taking taylor expansion of 1.0 in k 6.597 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.597 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.597 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.597 * [taylor]: Taking taylor expansion of -2.0 in k 6.597 * [taylor]: Taking taylor expansion of PI in k 6.597 * [taylor]: Taking taylor expansion of (log n) in k 6.597 * [taylor]: Taking taylor expansion of n in k 6.598 * [taylor]: Taking taylor expansion of 0 in k 6.599 * [taylor]: Taking taylor expansion of 0 in k 6.599 * [taylor]: Taking taylor expansion of 0 in k 6.600 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.600 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.600 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.600 * [taylor]: Taking taylor expansion of 2.0 in n 6.600 * [taylor]: Taking taylor expansion of (* n PI) in n 6.600 * [taylor]: Taking taylor expansion of n in n 6.600 * [taylor]: Taking taylor expansion of PI in n 6.600 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.600 * [taylor]: Taking taylor expansion of 2.0 in n 6.600 * [taylor]: Taking taylor expansion of (* n PI) in n 6.600 * [taylor]: Taking taylor expansion of n in n 6.600 * [taylor]: Taking taylor expansion of PI in n 6.600 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.600 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.600 * [taylor]: Taking taylor expansion of 2.0 in n 6.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.601 * [taylor]: Taking taylor expansion of PI in n 6.601 * [taylor]: Taking taylor expansion of n in n 6.601 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.601 * [taylor]: Taking taylor expansion of 2.0 in n 6.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.601 * [taylor]: Taking taylor expansion of PI in n 6.601 * [taylor]: Taking taylor expansion of n in n 6.601 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.601 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.601 * [taylor]: Taking taylor expansion of -2.0 in n 6.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.601 * [taylor]: Taking taylor expansion of PI in n 6.601 * [taylor]: Taking taylor expansion of n in n 6.601 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.601 * [taylor]: Taking taylor expansion of -2.0 in n 6.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.601 * [taylor]: Taking taylor expansion of PI in n 6.601 * [taylor]: Taking taylor expansion of n in n 6.602 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 6.602 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 6.602 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.602 * [taylor]: Taking taylor expansion of 1.0 in k 6.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.602 * [taylor]: Taking taylor expansion of k in k 6.602 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 6.602 * [taylor]: Taking taylor expansion of 1.0 in k 6.602 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.602 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.602 * [taylor]: Taking taylor expansion of k in k 6.603 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 6.603 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.603 * [taylor]: Taking taylor expansion of 1.0 in k 6.603 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.603 * [taylor]: Taking taylor expansion of k in k 6.603 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 6.603 * [taylor]: Taking taylor expansion of 1.0 in k 6.603 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.603 * [taylor]: Taking taylor expansion of k in k 6.604 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 6.604 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.604 * [taylor]: Taking taylor expansion of 1.0 in k 6.604 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.604 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.604 * [taylor]: Taking taylor expansion of -1 in k 6.604 * [taylor]: Taking taylor expansion of k in k 6.604 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 6.604 * [taylor]: Taking taylor expansion of 1.0 in k 6.604 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.605 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.605 * [taylor]: Taking taylor expansion of -1 in k 6.605 * [taylor]: Taking taylor expansion of k in k 6.605 * * * [progress]: simplifying candidates 6.608 * [simplify]: Simplifying using # : (* (- (log n)) (* -0.25 (- 1.0 k))) (* (- 0 (log n)) (* -0.25 (- 1.0 k))) (* (- (log 1) (log n)) (* -0.25 (- 1.0 k))) (* (log (/ 1 n)) (* -0.25 (- 1.0 k))) (* (log (/ 1 n)) (* -0.25 (- 1.0 k))) (* -1 (* -0.25 (- 1.0 k))) (* (- 1) (* -0.25 (- 1.0 k))) (* 1 (* -0.25 (- 1.0 k))) (pow (/ 1 n) -0.25) (pow (/ 1 n) (* -0.25 1.0)) (pow (/ 1 n) (* -0.25 (- k))) (pow (/ 1 n) (* -0.25 1.0)) (pow (/ 1 n) (* -0.25 (- k))) (pow (/ 1 n) (* 1.0 -0.25)) (pow (/ 1 n) (* (- k) -0.25)) (pow (/ 1 n) (* 1.0 -0.25)) (pow (/ 1 n) (* (- k) -0.25)) (pow (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) (* -0.25 (- 1.0 k))) (pow (cbrt (/ 1 n)) (* -0.25 (- 1.0 k))) (pow (sqrt (/ 1 n)) (* -0.25 (- 1.0 k))) (pow (sqrt (/ 1 n)) (* -0.25 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt n) (cbrt n))) (* -0.25 (- 1.0 k))) (pow (/ (cbrt 1) (cbrt n)) (* -0.25 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ (cbrt 1) (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) 1) (* -0.25 (- 1.0 k))) (pow (/ (cbrt 1) n) (* -0.25 (- 1.0 k))) (pow (/ (sqrt 1) (* (cbrt n) (cbrt n))) (* -0.25 (- 1.0 k))) (pow (/ (sqrt 1) (cbrt n)) (* -0.25 (- 1.0 k))) (pow (/ (sqrt 1) (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ (sqrt 1) (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ (sqrt 1) 1) (* -0.25 (- 1.0 k))) (pow (/ (sqrt 1) n) (* -0.25 (- 1.0 k))) (pow (/ 1 (* (cbrt n) (cbrt n))) (* -0.25 (- 1.0 k))) (pow (/ 1 (cbrt n)) (* -0.25 (- 1.0 k))) (pow (/ 1 (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ 1 (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ 1 1) (* -0.25 (- 1.0 k))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (pow 1 (* -0.25 (- 1.0 k))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (pow 1 (* -0.25 (- 1.0 k))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (log (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (exp (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (* (cbrt (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (cbrt (pow (/ 1 n) (* -0.25 (- 1.0 k))))) (cbrt (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (* (* (pow (/ 1 n) (* -0.25 (- 1.0 k))) (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (sqrt (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (sqrt (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (pow (/ 1 n) (/ (* -0.25 (- 1.0 k)) 2)) (pow (/ 1 n) (/ (* -0.25 (- 1.0 k)) 2)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (* 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 (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (exp (* -0.25 (* (- 1.0 k) (log (/ 1 n))))) (exp (* -0.25 (* (- 1.0 k) (+ (log -1) (log (/ -1 n)))))) (- (+ (* 0.03125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (+ (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0625 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (* 0.03125 (* (pow k 2) (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2))))))) (+ (* 0.25 (* k (* (log (* 2.0 PI)) (exp (* 0.25 (+ (log (* 2.0 PI)) (log n))))))) (* 0.25 (* k (* (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 6.618 * * [simplify]: iteration 0 : 1093 enodes (cost 1366 ) 6.636 * * [simplify]: iteration 1 : 4607 enodes (cost 1292 ) 6.694 * * [simplify]: iteration 2 : 5002 enodes (cost 1287 ) 6.700 * [simplify]: Simplified to: (* (- (log n)) (* -0.25 (- 1.0 k))) (* (- (log n)) (* -0.25 (- 1.0 k))) (* (- (log n)) (* -0.25 (- 1.0 k))) (* (- (log n)) (* -0.25 (- 1.0 k))) (* (- (log n)) (* -0.25 (- 1.0 k))) (- (* -0.25 (- 1.0 k))) (- (* -0.25 (- 1.0 k))) (* -0.25 (- 1.0 k)) (pow (/ 1 n) -0.25) (pow (/ 1 n) (* 1.0 -0.25)) (pow (/ 1 n) (* (- k) -0.25)) (pow (/ 1 n) (* 1.0 -0.25)) (pow (/ 1 n) (* (- k) -0.25)) (pow (/ 1 n) (* 1.0 -0.25)) (pow (/ 1 n) (* (- k) -0.25)) (pow (/ 1 n) (* 1.0 -0.25)) (pow (/ 1 n) (* (- k) -0.25)) (pow (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) (* -0.25 (- 1.0 k))) (pow (cbrt (/ 1 n)) (* -0.25 (- 1.0 k))) (pow (sqrt (/ 1 n)) (* -0.25 (- 1.0 k))) (pow (sqrt (/ 1 n)) (* -0.25 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) (* (cbrt n) (cbrt n))) (* -0.25 (- 1.0 k))) (pow (/ (cbrt 1) (cbrt n)) (* -0.25 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ (cbrt 1) (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ (* (cbrt 1) (cbrt 1)) 1) (* -0.25 (- 1.0 k))) (pow (/ (cbrt 1) n) (* -0.25 (- 1.0 k))) (pow (/ 1 (* (cbrt n) (cbrt n))) (* -0.25 (- 1.0 k))) (pow (/ 1 (cbrt n)) (* -0.25 (- 1.0 k))) (pow (/ 1 (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ 1 (sqrt n)) (* -0.25 (- 1.0 k))) 1 (pow (/ 1 n) (* -0.25 (- 1.0 k))) (pow (/ 1 (* (cbrt n) (cbrt n))) (* -0.25 (- 1.0 k))) (pow (/ 1 (cbrt n)) (* -0.25 (- 1.0 k))) (pow (/ 1 (sqrt n)) (* -0.25 (- 1.0 k))) (pow (/ 1 (sqrt n)) (* -0.25 (- 1.0 k))) 1 (pow (/ 1 n) (* -0.25 (- 1.0 k))) 1 (pow (/ 1 n) (* -0.25 (- 1.0 k))) 1 (pow (/ 1 n) (* -0.25 (- 1.0 k))) (* (- (log n)) (* -0.25 (- 1.0 k))) (exp (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (* (cbrt (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (cbrt (pow (/ 1 n) (* -0.25 (- 1.0 k))))) (cbrt (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (pow (pow (/ 1 n) (* -0.25 (- 1.0 k))) 3) (sqrt (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (sqrt (pow (/ 1 n) (* -0.25 (- 1.0 k)))) (pow (/ 1 n) (/ (* -0.25 (- 1.0 k)) 2)) (pow (/ 1 n) (/ (* -0.25 (- 1.0 k)) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (/ (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.03125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow n 1.0) 0.25))) (pow n 0.25)) (* 0.25 (* (* k (log n)) (pow (pow n 1.0) 0.25)))) (pow (/ 1 n) (* -0.25 (- 1.0 k))) (exp (* -0.25 (* (- 1.0 k) (+ (log -1) (log (/ -1 n)))))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 6.701 * * * [progress]: adding candidates to table 8.678 * [progress]: [Phase 3 of 3] Extracting. 8.678 * * [regime]: Finding splitpoints for: (# # # # # # #) 8.681 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 8.681 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 8.797 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # #) 8.865 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 8.967 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 9.068 * * * [regime]: Found split indices: #