23.748 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.095 * * * [progress]: [2/2] Setting up program. 0.102 * [progress]: [Phase 2 of 3] Improving. 0.102 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.105 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.106 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.108 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.110 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.116 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.138 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.139 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.139 * * [progress]: iteration 1 / 4 0.139 * * * [progress]: picking best candidate 0.145 * * * * [pick]: Picked # 0.145 * * * [progress]: localizing error 0.161 * * * [progress]: generating rewritten candidates 0.161 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.170 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.176 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.179 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.201 * * * [progress]: generating series expansions 0.201 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.201 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.201 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.201 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.201 * [taylor]: Taking taylor expansion of 0.5 in k 0.201 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.201 * [taylor]: Taking taylor expansion of 1.0 in k 0.201 * [taylor]: Taking taylor expansion of k in k 0.201 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.201 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.201 * [taylor]: Taking taylor expansion of 2.0 in k 0.201 * [taylor]: Taking taylor expansion of (* n PI) in k 0.201 * [taylor]: Taking taylor expansion of n in k 0.201 * [taylor]: Taking taylor expansion of PI in k 0.202 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.202 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.202 * [taylor]: Taking taylor expansion of 0.5 in n 0.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.202 * [taylor]: Taking taylor expansion of 1.0 in n 0.202 * [taylor]: Taking taylor expansion of k in n 0.202 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.202 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.202 * [taylor]: Taking taylor expansion of 2.0 in n 0.202 * [taylor]: Taking taylor expansion of (* n PI) in n 0.202 * [taylor]: Taking taylor expansion of n in n 0.202 * [taylor]: Taking taylor expansion of PI in n 0.202 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.202 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.202 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.202 * [taylor]: Taking taylor expansion of 0.5 in n 0.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.202 * [taylor]: Taking taylor expansion of 1.0 in n 0.202 * [taylor]: Taking taylor expansion of k in n 0.203 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.203 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.203 * [taylor]: Taking taylor expansion of 2.0 in n 0.203 * [taylor]: Taking taylor expansion of (* n PI) in n 0.203 * [taylor]: Taking taylor expansion of n in n 0.203 * [taylor]: Taking taylor expansion of PI in n 0.203 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.203 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.203 * [taylor]: Taking taylor expansion of 0.5 in k 0.203 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.203 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.203 * [taylor]: Taking taylor expansion of 1.0 in k 0.203 * [taylor]: Taking taylor expansion of k in k 0.203 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.203 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.203 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.203 * [taylor]: Taking taylor expansion of 2.0 in k 0.203 * [taylor]: Taking taylor expansion of PI in k 0.203 * [taylor]: Taking taylor expansion of (log n) in k 0.203 * [taylor]: Taking taylor expansion of n in k 0.204 * [taylor]: Taking taylor expansion of 0 in k 0.206 * [taylor]: Taking taylor expansion of 0 in k 0.208 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.208 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.208 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.208 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.208 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.208 * [taylor]: Taking taylor expansion of 0.5 in k 0.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.208 * [taylor]: Taking taylor expansion of 1.0 in k 0.208 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.208 * [taylor]: Taking taylor expansion of k in k 0.208 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.208 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.208 * [taylor]: Taking taylor expansion of 2.0 in k 0.208 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.208 * [taylor]: Taking taylor expansion of PI in k 0.209 * [taylor]: Taking taylor expansion of n in k 0.209 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.209 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.209 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.209 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.209 * [taylor]: Taking taylor expansion of 0.5 in n 0.209 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.209 * [taylor]: Taking taylor expansion of 1.0 in n 0.209 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.209 * [taylor]: Taking taylor expansion of k in n 0.209 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.209 * [taylor]: Taking taylor expansion of 2.0 in n 0.209 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.209 * [taylor]: Taking taylor expansion of PI in n 0.209 * [taylor]: Taking taylor expansion of n in n 0.210 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.210 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.210 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.210 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.210 * [taylor]: Taking taylor expansion of 0.5 in n 0.210 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.210 * [taylor]: Taking taylor expansion of 1.0 in n 0.210 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.210 * [taylor]: Taking taylor expansion of k in n 0.210 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.210 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.210 * [taylor]: Taking taylor expansion of 2.0 in n 0.210 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.210 * [taylor]: Taking taylor expansion of PI in n 0.210 * [taylor]: Taking taylor expansion of n in n 0.210 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.210 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.211 * [taylor]: Taking taylor expansion of 0.5 in k 0.211 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.211 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.211 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.211 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.211 * [taylor]: Taking taylor expansion of 2.0 in k 0.211 * [taylor]: Taking taylor expansion of PI in k 0.211 * [taylor]: Taking taylor expansion of (log n) in k 0.211 * [taylor]: Taking taylor expansion of n in k 0.211 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.211 * [taylor]: Taking taylor expansion of 1.0 in k 0.211 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.211 * [taylor]: Taking taylor expansion of k in k 0.212 * [taylor]: Taking taylor expansion of 0 in k 0.213 * [taylor]: Taking taylor expansion of 0 in k 0.213 * [taylor]: Taking taylor expansion of 0 in k 0.214 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.214 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.214 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.214 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.214 * [taylor]: Taking taylor expansion of 0.5 in k 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.214 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.214 * [taylor]: Taking taylor expansion of k in k 0.214 * [taylor]: Taking taylor expansion of 1.0 in k 0.214 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.214 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.214 * [taylor]: Taking taylor expansion of -2.0 in k 0.214 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.214 * [taylor]: Taking taylor expansion of PI in k 0.214 * [taylor]: Taking taylor expansion of n in k 0.214 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.214 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.214 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.214 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.214 * [taylor]: Taking taylor expansion of 0.5 in n 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.214 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.214 * [taylor]: Taking taylor expansion of k in n 0.214 * [taylor]: Taking taylor expansion of 1.0 in n 0.214 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.214 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.214 * [taylor]: Taking taylor expansion of -2.0 in n 0.214 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.214 * [taylor]: Taking taylor expansion of PI in n 0.214 * [taylor]: Taking taylor expansion of n in n 0.215 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.215 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.215 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.215 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.215 * [taylor]: Taking taylor expansion of 0.5 in n 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.215 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.215 * [taylor]: Taking taylor expansion of k in n 0.215 * [taylor]: Taking taylor expansion of 1.0 in n 0.215 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.215 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.215 * [taylor]: Taking taylor expansion of -2.0 in n 0.215 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.215 * [taylor]: Taking taylor expansion of PI in n 0.215 * [taylor]: Taking taylor expansion of n in n 0.216 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.216 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.216 * [taylor]: Taking taylor expansion of 0.5 in k 0.216 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.216 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.216 * [taylor]: Taking taylor expansion of k in k 0.216 * [taylor]: Taking taylor expansion of 1.0 in k 0.216 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.216 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.216 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.216 * [taylor]: Taking taylor expansion of -2.0 in k 0.216 * [taylor]: Taking taylor expansion of PI in k 0.216 * [taylor]: Taking taylor expansion of (log n) in k 0.216 * [taylor]: Taking taylor expansion of n in k 0.217 * [taylor]: Taking taylor expansion of 0 in k 0.218 * [taylor]: Taking taylor expansion of 0 in k 0.218 * [taylor]: Taking taylor expansion of 0 in k 0.219 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.219 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.219 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.219 * [taylor]: Taking taylor expansion of 2.0 in n 0.219 * [taylor]: Taking taylor expansion of (* n PI) in n 0.219 * [taylor]: Taking taylor expansion of n in n 0.219 * [taylor]: Taking taylor expansion of PI in n 0.219 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.219 * [taylor]: Taking taylor expansion of 2.0 in n 0.219 * [taylor]: Taking taylor expansion of (* n PI) in n 0.219 * [taylor]: Taking taylor expansion of n in n 0.219 * [taylor]: Taking taylor expansion of PI in n 0.220 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.220 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.220 * [taylor]: Taking taylor expansion of 2.0 in n 0.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.220 * [taylor]: Taking taylor expansion of PI in n 0.220 * [taylor]: Taking taylor expansion of n in n 0.220 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.220 * [taylor]: Taking taylor expansion of 2.0 in n 0.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.220 * [taylor]: Taking taylor expansion of PI in n 0.220 * [taylor]: Taking taylor expansion of n in n 0.220 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.220 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.220 * [taylor]: Taking taylor expansion of -2.0 in n 0.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.220 * [taylor]: Taking taylor expansion of PI in n 0.220 * [taylor]: Taking taylor expansion of n in n 0.220 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.220 * [taylor]: Taking taylor expansion of -2.0 in n 0.220 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.220 * [taylor]: Taking taylor expansion of PI in n 0.220 * [taylor]: Taking taylor expansion of n in n 0.221 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.221 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.221 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.221 * [taylor]: Taking taylor expansion of 1.0 in k 0.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.221 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.221 * [taylor]: Taking taylor expansion of k in k 0.221 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.221 * [taylor]: Taking taylor expansion of 1.0 in k 0.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.221 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.221 * [taylor]: Taking taylor expansion of k in k 0.222 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.222 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.222 * [taylor]: Taking taylor expansion of 1.0 in k 0.222 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.222 * [taylor]: Taking taylor expansion of k in k 0.222 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.222 * [taylor]: Taking taylor expansion of 1.0 in k 0.222 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.222 * [taylor]: Taking taylor expansion of k in k 0.223 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.223 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.223 * [taylor]: Taking taylor expansion of 1.0 in k 0.223 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.223 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.223 * [taylor]: Taking taylor expansion of -1 in k 0.223 * [taylor]: Taking taylor expansion of k in k 0.224 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.224 * [taylor]: Taking taylor expansion of 1.0 in k 0.224 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.224 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.224 * [taylor]: Taking taylor expansion of -1 in k 0.224 * [taylor]: Taking taylor expansion of k in k 0.224 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.225 * [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 0.225 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.225 * [taylor]: Taking taylor expansion of 1.0 in n 0.225 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) 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 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.225 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.225 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.225 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.225 * [taylor]: Taking taylor expansion of 0.5 in n 0.225 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.225 * [taylor]: Taking taylor expansion of 1.0 in n 0.225 * [taylor]: Taking taylor expansion of k in n 0.225 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.225 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.225 * [taylor]: Taking taylor expansion of 2.0 in n 0.225 * [taylor]: Taking taylor expansion of (* n PI) in n 0.225 * [taylor]: Taking taylor expansion of n in n 0.225 * [taylor]: Taking taylor expansion of PI in n 0.225 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.226 * [taylor]: Taking taylor expansion of 1.0 in k 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) 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 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.226 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.226 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.226 * [taylor]: Taking taylor expansion of 0.5 in k 0.226 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.226 * [taylor]: Taking taylor expansion of 1.0 in k 0.226 * [taylor]: Taking taylor expansion of k in k 0.226 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.226 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.226 * [taylor]: Taking taylor expansion of 2.0 in k 0.226 * [taylor]: Taking taylor expansion of (* n PI) in k 0.226 * [taylor]: Taking taylor expansion of n in k 0.226 * [taylor]: Taking taylor expansion of PI in k 0.226 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.226 * [taylor]: Taking taylor expansion of 1.0 in k 0.226 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) 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 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.226 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.226 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.226 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.226 * [taylor]: Taking taylor expansion of 0.5 in k 0.226 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.226 * [taylor]: Taking taylor expansion of 1.0 in k 0.226 * [taylor]: Taking taylor expansion of k in k 0.226 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.226 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.226 * [taylor]: Taking taylor expansion of 2.0 in k 0.226 * [taylor]: Taking taylor expansion of (* n PI) in k 0.226 * [taylor]: Taking taylor expansion of n in k 0.226 * [taylor]: Taking taylor expansion of PI in k 0.227 * [taylor]: Taking taylor expansion of 0 in n 0.228 * [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 0.228 * [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 0.228 * [taylor]: Taking taylor expansion of +nan.0 in n 0.228 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.228 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.228 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.228 * [taylor]: Taking taylor expansion of 0.5 in n 0.228 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.228 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.228 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.228 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.228 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.228 * [taylor]: Taking taylor expansion of 1.0 in n 0.228 * [taylor]: Taking taylor expansion of (log PI) in n 0.228 * [taylor]: Taking taylor expansion of PI in n 0.228 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.228 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.228 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.228 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.228 * [taylor]: Taking taylor expansion of 1.0 in n 0.228 * [taylor]: Taking taylor expansion of (log n) in n 0.229 * [taylor]: Taking taylor expansion of n in n 0.229 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.229 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.229 * [taylor]: Taking taylor expansion of 1.0 in n 0.229 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.229 * [taylor]: Taking taylor expansion of 2.0 in n 0.233 * [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 0.233 * [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 0.233 * [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 0.233 * [taylor]: Taking taylor expansion of +nan.0 in n 0.233 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.233 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.233 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.233 * [taylor]: Taking taylor expansion of 0.5 in n 0.233 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.233 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.233 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.233 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.233 * [taylor]: Taking taylor expansion of 1.0 in n 0.233 * [taylor]: Taking taylor expansion of (log PI) in n 0.233 * [taylor]: Taking taylor expansion of PI in n 0.234 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.234 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.234 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.234 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.234 * [taylor]: Taking taylor expansion of 1.0 in n 0.234 * [taylor]: Taking taylor expansion of (log n) in n 0.234 * [taylor]: Taking taylor expansion of n in n 0.234 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.234 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.234 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.234 * [taylor]: Taking taylor expansion of 1.0 in n 0.234 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.234 * [taylor]: Taking taylor expansion of 2.0 in n 0.235 * [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 0.235 * [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 0.235 * [taylor]: Taking taylor expansion of +nan.0 in n 0.235 * [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 0.235 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.235 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.235 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.235 * [taylor]: Taking taylor expansion of 0.5 in n 0.235 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.235 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.235 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.235 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.235 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.235 * [taylor]: Taking taylor expansion of 1.0 in n 0.235 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.235 * [taylor]: Taking taylor expansion of 2.0 in n 0.235 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.235 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.235 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.235 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.235 * [taylor]: Taking taylor expansion of 1.0 in n 0.235 * [taylor]: Taking taylor expansion of (log PI) in n 0.235 * [taylor]: Taking taylor expansion of PI in n 0.236 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.236 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.236 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.236 * [taylor]: Taking taylor expansion of 1.0 in n 0.236 * [taylor]: Taking taylor expansion of (log n) in n 0.236 * [taylor]: Taking taylor expansion of n in n 0.237 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.237 * [taylor]: Taking taylor expansion of 2.0 in n 0.237 * [taylor]: Taking taylor expansion of (* n PI) in n 0.237 * [taylor]: Taking taylor expansion of n in n 0.237 * [taylor]: Taking taylor expansion of PI in n 0.251 * [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 0.251 * [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 0.252 * [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 0.252 * [taylor]: Taking taylor expansion of +nan.0 in n 0.252 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.252 * [taylor]: Taking taylor expansion of 0.5 in n 0.252 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.252 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.252 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.252 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.252 * [taylor]: Taking taylor expansion of 1.0 in n 0.252 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.252 * [taylor]: Taking taylor expansion of 2.0 in n 0.252 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.252 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.252 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.252 * [taylor]: Taking taylor expansion of 1.0 in n 0.252 * [taylor]: Taking taylor expansion of (log n) in n 0.252 * [taylor]: Taking taylor expansion of n in n 0.252 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.252 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.252 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.252 * [taylor]: Taking taylor expansion of 1.0 in n 0.252 * [taylor]: Taking taylor expansion of (log PI) in n 0.252 * [taylor]: Taking taylor expansion of PI in n 0.253 * [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 0.253 * [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 0.253 * [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 0.253 * [taylor]: Taking taylor expansion of +nan.0 in n 0.253 * [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 0.253 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.253 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.253 * [taylor]: Taking taylor expansion of 0.5 in n 0.253 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.253 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.253 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.254 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.254 * [taylor]: Taking taylor expansion of 1.0 in n 0.254 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.254 * [taylor]: Taking taylor expansion of 2.0 in n 0.254 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.254 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.254 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.254 * [taylor]: Taking taylor expansion of 1.0 in n 0.254 * [taylor]: Taking taylor expansion of (log PI) in n 0.254 * [taylor]: Taking taylor expansion of PI in n 0.254 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.254 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.254 * [taylor]: Taking taylor expansion of 1.0 in n 0.254 * [taylor]: Taking taylor expansion of (log n) in n 0.254 * [taylor]: Taking taylor expansion of n in n 0.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.255 * [taylor]: Taking taylor expansion of 2.0 in n 0.255 * [taylor]: Taking taylor expansion of (* n PI) in n 0.255 * [taylor]: Taking taylor expansion of n in n 0.255 * [taylor]: Taking taylor expansion of PI in n 0.255 * [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 0.255 * [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 0.255 * [taylor]: Taking taylor expansion of +nan.0 in n 0.255 * [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 0.255 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.255 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.255 * [taylor]: Taking taylor expansion of 0.5 in n 0.255 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.255 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.255 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.256 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.256 * [taylor]: Taking taylor expansion of 1.0 in n 0.256 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.256 * [taylor]: Taking taylor expansion of 2.0 in n 0.256 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.256 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.256 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.256 * [taylor]: Taking taylor expansion of 1.0 in n 0.256 * [taylor]: Taking taylor expansion of (log PI) in n 0.256 * [taylor]: Taking taylor expansion of PI in n 0.256 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.256 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.256 * [taylor]: Taking taylor expansion of 1.0 in n 0.256 * [taylor]: Taking taylor expansion of (log n) in n 0.256 * [taylor]: Taking taylor expansion of n in n 0.257 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.257 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.257 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.257 * [taylor]: Taking taylor expansion of 2.0 in n 0.257 * [taylor]: Taking taylor expansion of (* n PI) in n 0.257 * [taylor]: Taking taylor expansion of n in n 0.257 * [taylor]: Taking taylor expansion of PI in n 0.280 * [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 0.280 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.280 * [taylor]: Taking taylor expansion of 1.0 in n 0.280 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.280 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.280 * [taylor]: Taking taylor expansion of k in n 0.281 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.281 * [taylor]: Taking taylor expansion of 0.5 in n 0.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.281 * [taylor]: Taking taylor expansion of 1.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.281 * [taylor]: Taking taylor expansion of k in n 0.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.281 * [taylor]: Taking taylor expansion of 2.0 in n 0.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.281 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.282 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.282 * [taylor]: Taking taylor expansion of 0.5 in k 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.282 * [taylor]: Taking taylor expansion of 1.0 in k 0.282 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.282 * [taylor]: Taking taylor expansion of k in k 0.282 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.282 * [taylor]: Taking taylor expansion of 2.0 in k 0.282 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.282 * [taylor]: Taking taylor expansion of PI in k 0.282 * [taylor]: Taking taylor expansion of n in k 0.282 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.282 * [taylor]: Taking taylor expansion of 1.0 in k 0.282 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.282 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.282 * [taylor]: Taking taylor expansion of k in k 0.282 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.282 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.282 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.282 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.282 * [taylor]: Taking taylor expansion of 0.5 in k 0.282 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.282 * [taylor]: Taking taylor expansion of 1.0 in k 0.282 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.282 * [taylor]: Taking taylor expansion of k in k 0.282 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.282 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.282 * [taylor]: Taking taylor expansion of 2.0 in k 0.282 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.282 * [taylor]: Taking taylor expansion of PI in k 0.283 * [taylor]: Taking taylor expansion of n in k 0.283 * [taylor]: Taking taylor expansion of 0 in n 0.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.283 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.283 * [taylor]: Taking taylor expansion of +nan.0 in n 0.283 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.283 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.283 * [taylor]: Taking taylor expansion of 0.5 in n 0.283 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.283 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.283 * [taylor]: Taking taylor expansion of 2.0 in n 0.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.283 * [taylor]: Taking taylor expansion of PI in n 0.283 * [taylor]: Taking taylor expansion of n in n 0.284 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.284 * [taylor]: Taking taylor expansion of 1.0 in n 0.284 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.284 * [taylor]: Taking taylor expansion of k in n 0.285 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.285 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.285 * [taylor]: Taking taylor expansion of +nan.0 in n 0.285 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.285 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.285 * [taylor]: Taking taylor expansion of 0.5 in n 0.285 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.285 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.285 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.285 * [taylor]: Taking taylor expansion of 2.0 in n 0.285 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.285 * [taylor]: Taking taylor expansion of PI in n 0.285 * [taylor]: Taking taylor expansion of n in n 0.285 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.285 * [taylor]: Taking taylor expansion of 1.0 in n 0.285 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.285 * [taylor]: Taking taylor expansion of k in n 0.288 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.288 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.288 * [taylor]: Taking taylor expansion of +nan.0 in n 0.288 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.288 * [taylor]: Taking taylor expansion of 0.5 in n 0.288 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.288 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.288 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.288 * [taylor]: Taking taylor expansion of 2.0 in n 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.288 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.288 * [taylor]: Taking taylor expansion of 1.0 in n 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.288 * [taylor]: Taking taylor expansion of k in n 0.290 * [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 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.290 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.290 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.290 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.290 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.290 * [taylor]: Taking taylor expansion of 0.5 in n 0.290 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.290 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.290 * [taylor]: Taking taylor expansion of k in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.291 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.291 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.291 * [taylor]: Taking taylor expansion of -2.0 in n 0.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.291 * [taylor]: Taking taylor expansion of PI in n 0.291 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.291 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.291 * [taylor]: Taking taylor expansion of -1 in n 0.291 * [taylor]: Taking taylor expansion of k in n 0.291 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.291 * [taylor]: Taking taylor expansion of 1.0 in k 0.291 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.291 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.291 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.292 * [taylor]: Taking taylor expansion of 0.5 in k 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.292 * [taylor]: Taking taylor expansion of k in k 0.292 * [taylor]: Taking taylor expansion of 1.0 in k 0.292 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.292 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.292 * [taylor]: Taking taylor expansion of -2.0 in k 0.292 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.292 * [taylor]: Taking taylor expansion of PI in k 0.292 * [taylor]: Taking taylor expansion of n in k 0.292 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.292 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.292 * [taylor]: Taking taylor expansion of -1 in k 0.292 * [taylor]: Taking taylor expansion of k in k 0.292 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.292 * [taylor]: Taking taylor expansion of 1.0 in k 0.292 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.292 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.292 * [taylor]: Taking taylor expansion of 0.5 in k 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.292 * [taylor]: Taking taylor expansion of k in k 0.292 * [taylor]: Taking taylor expansion of 1.0 in k 0.292 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.293 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.293 * [taylor]: Taking taylor expansion of -2.0 in k 0.293 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.293 * [taylor]: Taking taylor expansion of PI in k 0.293 * [taylor]: Taking taylor expansion of n in k 0.293 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.293 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.293 * [taylor]: Taking taylor expansion of -1 in k 0.293 * [taylor]: Taking taylor expansion of k in k 0.293 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.293 * [taylor]: Taking taylor expansion of +nan.0 in n 0.293 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.293 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.293 * [taylor]: Taking taylor expansion of 0.5 in n 0.293 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.293 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.293 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.293 * [taylor]: Taking taylor expansion of k in n 0.293 * [taylor]: Taking taylor expansion of 1.0 in n 0.293 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.293 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.293 * [taylor]: Taking taylor expansion of -2.0 in n 0.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.293 * [taylor]: Taking taylor expansion of PI in n 0.294 * [taylor]: Taking taylor expansion of n in n 0.295 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.295 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.295 * [taylor]: Taking taylor expansion of +nan.0 in n 0.295 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.295 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.295 * [taylor]: Taking taylor expansion of 0.5 in n 0.295 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.295 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.295 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.295 * [taylor]: Taking taylor expansion of k in n 0.295 * [taylor]: Taking taylor expansion of 1.0 in n 0.295 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.295 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.295 * [taylor]: Taking taylor expansion of -2.0 in n 0.295 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.295 * [taylor]: Taking taylor expansion of PI in n 0.295 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.298 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.298 * [taylor]: Taking taylor expansion of +nan.0 in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.298 * [taylor]: Taking taylor expansion of k in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.298 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.298 * [taylor]: Taking taylor expansion of -2.0 in n 0.298 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.300 * * * [progress]: simplifying candidates 0.302 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.398 * * * [progress]: adding candidates to table 1.515 * * [progress]: iteration 2 / 4 1.515 * * * [progress]: picking best candidate 1.578 * * * * [pick]: Picked # 1.578 * * * [progress]: localizing error 1.592 * * * [progress]: generating rewritten candidates 1.592 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.605 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.618 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.624 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.642 * * * [progress]: generating series expansions 1.642 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.642 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.642 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.643 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.643 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.643 * [taylor]: Taking taylor expansion of 0.25 in k 1.643 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.643 * [taylor]: Taking taylor expansion of 1.0 in k 1.643 * [taylor]: Taking taylor expansion of k in k 1.643 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.643 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.643 * [taylor]: Taking taylor expansion of 2.0 in k 1.643 * [taylor]: Taking taylor expansion of (* n PI) in k 1.643 * [taylor]: Taking taylor expansion of n in k 1.643 * [taylor]: Taking taylor expansion of PI in k 1.643 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.643 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.643 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.643 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.643 * [taylor]: Taking taylor expansion of 0.25 in n 1.643 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.643 * [taylor]: Taking taylor expansion of 1.0 in n 1.643 * [taylor]: Taking taylor expansion of k in n 1.643 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.643 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.643 * [taylor]: Taking taylor expansion of 2.0 in n 1.643 * [taylor]: Taking taylor expansion of (* n PI) in n 1.643 * [taylor]: Taking taylor expansion of n in n 1.643 * [taylor]: Taking taylor expansion of PI in n 1.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.644 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.644 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.644 * [taylor]: Taking taylor expansion of 0.25 in n 1.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.644 * [taylor]: Taking taylor expansion of 1.0 in n 1.644 * [taylor]: Taking taylor expansion of k in n 1.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.644 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.644 * [taylor]: Taking taylor expansion of 2.0 in n 1.644 * [taylor]: Taking taylor expansion of (* n PI) in n 1.644 * [taylor]: Taking taylor expansion of n in n 1.644 * [taylor]: Taking taylor expansion of PI in n 1.644 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.644 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.644 * [taylor]: Taking taylor expansion of 0.25 in k 1.644 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.644 * [taylor]: Taking taylor expansion of 1.0 in k 1.644 * [taylor]: Taking taylor expansion of k in k 1.644 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.644 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.644 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.645 * [taylor]: Taking taylor expansion of 2.0 in k 1.645 * [taylor]: Taking taylor expansion of PI in k 1.645 * [taylor]: Taking taylor expansion of (log n) in k 1.645 * [taylor]: Taking taylor expansion of n in k 1.645 * [taylor]: Taking taylor expansion of 0 in k 1.647 * [taylor]: Taking taylor expansion of 0 in k 1.650 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.650 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.650 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.650 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.650 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.650 * [taylor]: Taking taylor expansion of 0.25 in k 1.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.650 * [taylor]: Taking taylor expansion of 1.0 in k 1.650 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.650 * [taylor]: Taking taylor expansion of k in k 1.650 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.650 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.650 * [taylor]: Taking taylor expansion of 2.0 in k 1.650 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.650 * [taylor]: Taking taylor expansion of PI in k 1.650 * [taylor]: Taking taylor expansion of n in k 1.650 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.650 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.650 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.650 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.650 * [taylor]: Taking taylor expansion of 0.25 in n 1.650 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.650 * [taylor]: Taking taylor expansion of 1.0 in n 1.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.650 * [taylor]: Taking taylor expansion of k in n 1.650 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI 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 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.651 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.651 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.651 * [taylor]: Taking taylor expansion of 0.25 in n 1.651 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.651 * [taylor]: Taking taylor expansion of 1.0 in n 1.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.651 * [taylor]: Taking taylor expansion of k in n 1.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI 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 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.652 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.652 * [taylor]: Taking taylor expansion of 0.25 in k 1.652 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.652 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.652 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.652 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.652 * [taylor]: Taking taylor expansion of 2.0 in k 1.652 * [taylor]: Taking taylor expansion of PI in k 1.652 * [taylor]: Taking taylor expansion of (log n) in k 1.652 * [taylor]: Taking taylor expansion of n in k 1.652 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.652 * [taylor]: Taking taylor expansion of 1.0 in k 1.652 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.652 * [taylor]: Taking taylor expansion of k in k 1.653 * [taylor]: Taking taylor expansion of 0 in k 1.654 * [taylor]: Taking taylor expansion of 0 in k 1.654 * [taylor]: Taking taylor expansion of 0 in k 1.655 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.655 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.655 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.655 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.655 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.655 * [taylor]: Taking taylor expansion of 0.25 in k 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.655 * [taylor]: Taking taylor expansion of k in k 1.655 * [taylor]: Taking taylor expansion of 1.0 in k 1.655 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.655 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.655 * [taylor]: Taking taylor expansion of -2.0 in k 1.655 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.655 * [taylor]: Taking taylor expansion of PI in k 1.655 * [taylor]: Taking taylor expansion of n in k 1.655 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.655 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.655 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.655 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.655 * [taylor]: Taking taylor expansion of 0.25 in n 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.655 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.655 * [taylor]: Taking taylor expansion of k in n 1.655 * [taylor]: Taking taylor expansion of 1.0 in n 1.655 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.655 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.655 * [taylor]: Taking taylor expansion of -2.0 in n 1.655 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.655 * [taylor]: Taking taylor expansion of PI in n 1.655 * [taylor]: Taking taylor expansion of n in n 1.656 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.656 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.656 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.656 * [taylor]: Taking taylor expansion of 0.25 in n 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.656 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.656 * [taylor]: Taking taylor expansion of k in n 1.656 * [taylor]: Taking taylor expansion of 1.0 in n 1.656 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.656 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.656 * [taylor]: Taking taylor expansion of -2.0 in n 1.656 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.656 * [taylor]: Taking taylor expansion of PI in n 1.656 * [taylor]: Taking taylor expansion of n in n 1.657 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.657 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.657 * [taylor]: Taking taylor expansion of 0.25 in k 1.657 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.657 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.657 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.657 * [taylor]: Taking taylor expansion of k in k 1.657 * [taylor]: Taking taylor expansion of 1.0 in k 1.657 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.657 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.657 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.657 * [taylor]: Taking taylor expansion of -2.0 in k 1.657 * [taylor]: Taking taylor expansion of PI in k 1.657 * [taylor]: Taking taylor expansion of (log n) in k 1.657 * [taylor]: Taking taylor expansion of n in k 1.658 * [taylor]: Taking taylor expansion of 0 in k 1.659 * [taylor]: Taking taylor expansion of 0 in k 1.659 * [taylor]: Taking taylor expansion of 0 in k 1.660 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.660 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.660 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.660 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.660 * [taylor]: Taking taylor expansion of 0.25 in k 1.660 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.660 * [taylor]: Taking taylor expansion of 1.0 in k 1.660 * [taylor]: Taking taylor expansion of k in k 1.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.660 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.660 * [taylor]: Taking taylor expansion of 2.0 in k 1.660 * [taylor]: Taking taylor expansion of (* n PI) in k 1.660 * [taylor]: Taking taylor expansion of n in k 1.660 * [taylor]: Taking taylor expansion of PI in k 1.660 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.660 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.660 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.660 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.660 * [taylor]: Taking taylor expansion of 0.25 in n 1.660 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.660 * [taylor]: Taking taylor expansion of 1.0 in n 1.660 * [taylor]: Taking taylor expansion of k in n 1.660 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.660 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.660 * [taylor]: Taking taylor expansion of 2.0 in n 1.660 * [taylor]: Taking taylor expansion of (* n PI) in n 1.660 * [taylor]: Taking taylor expansion of n in n 1.660 * [taylor]: Taking taylor expansion of PI in n 1.661 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.661 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.661 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.661 * [taylor]: Taking taylor expansion of 0.25 in n 1.661 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.661 * [taylor]: Taking taylor expansion of 1.0 in n 1.661 * [taylor]: Taking taylor expansion of k in n 1.661 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.661 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.661 * [taylor]: Taking taylor expansion of 2.0 in n 1.661 * [taylor]: Taking taylor expansion of (* n PI) in n 1.661 * [taylor]: Taking taylor expansion of n in n 1.661 * [taylor]: Taking taylor expansion of PI in n 1.662 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.662 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.662 * [taylor]: Taking taylor expansion of 0.25 in k 1.662 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.662 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.662 * [taylor]: Taking taylor expansion of 1.0 in k 1.662 * [taylor]: Taking taylor expansion of k in k 1.662 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.662 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.662 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.662 * [taylor]: Taking taylor expansion of 2.0 in k 1.662 * [taylor]: Taking taylor expansion of PI in k 1.662 * [taylor]: Taking taylor expansion of (log n) in k 1.662 * [taylor]: Taking taylor expansion of n in k 1.663 * [taylor]: Taking taylor expansion of 0 in k 1.664 * [taylor]: Taking taylor expansion of 0 in k 1.667 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.667 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.667 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.667 * [taylor]: Taking taylor expansion of 0.25 in k 1.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.667 * [taylor]: Taking taylor expansion of 1.0 in k 1.667 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.667 * [taylor]: Taking taylor expansion of k in k 1.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.667 * [taylor]: Taking taylor expansion of 2.0 in k 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.667 * [taylor]: Taking taylor expansion of PI in k 1.667 * [taylor]: Taking taylor expansion of n in k 1.667 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.667 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.667 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.667 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.667 * [taylor]: Taking taylor expansion of 0.25 in n 1.667 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.667 * [taylor]: Taking taylor expansion of 1.0 in n 1.667 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.667 * [taylor]: Taking taylor expansion of k in n 1.667 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.667 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.667 * [taylor]: Taking taylor expansion of 2.0 in n 1.667 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.667 * [taylor]: Taking taylor expansion of PI in n 1.667 * [taylor]: Taking taylor expansion of n in n 1.668 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.668 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.668 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.668 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.668 * [taylor]: Taking taylor expansion of 0.25 in n 1.668 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.668 * [taylor]: Taking taylor expansion of 1.0 in n 1.668 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.668 * [taylor]: Taking taylor expansion of k in n 1.668 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.668 * [taylor]: Taking taylor expansion of 2.0 in n 1.668 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.668 * [taylor]: Taking taylor expansion of PI in n 1.668 * [taylor]: Taking taylor expansion of n in n 1.669 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.669 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.669 * [taylor]: Taking taylor expansion of 0.25 in k 1.669 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.669 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.669 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.669 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.669 * [taylor]: Taking taylor expansion of 2.0 in k 1.669 * [taylor]: Taking taylor expansion of PI in k 1.669 * [taylor]: Taking taylor expansion of (log n) in k 1.669 * [taylor]: Taking taylor expansion of n in k 1.669 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.669 * [taylor]: Taking taylor expansion of 1.0 in k 1.669 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.669 * [taylor]: Taking taylor expansion of k in k 1.670 * [taylor]: Taking taylor expansion of 0 in k 1.671 * [taylor]: Taking taylor expansion of 0 in k 1.671 * [taylor]: Taking taylor expansion of 0 in k 1.672 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.672 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.672 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.672 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.672 * [taylor]: Taking taylor expansion of 0.25 in k 1.672 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.672 * [taylor]: Taking taylor expansion of k in k 1.672 * [taylor]: Taking taylor expansion of 1.0 in k 1.672 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.672 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.672 * [taylor]: Taking taylor expansion of -2.0 in k 1.672 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.672 * [taylor]: Taking taylor expansion of PI in k 1.672 * [taylor]: Taking taylor expansion of n in k 1.672 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.672 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.672 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.672 * [taylor]: Taking taylor expansion of 0.25 in n 1.672 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.672 * [taylor]: Taking taylor expansion of k in n 1.672 * [taylor]: Taking taylor expansion of 1.0 in n 1.672 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.672 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.672 * [taylor]: Taking taylor expansion of -2.0 in n 1.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.672 * [taylor]: Taking taylor expansion of PI in n 1.673 * [taylor]: Taking taylor expansion of n in n 1.673 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.673 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.673 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.673 * [taylor]: Taking taylor expansion of 0.25 in n 1.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.673 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.673 * [taylor]: Taking taylor expansion of k in n 1.673 * [taylor]: Taking taylor expansion of 1.0 in n 1.673 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.673 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.673 * [taylor]: Taking taylor expansion of -2.0 in n 1.673 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.673 * [taylor]: Taking taylor expansion of PI in n 1.673 * [taylor]: Taking taylor expansion of n in n 1.674 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.674 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.674 * [taylor]: Taking taylor expansion of 0.25 in k 1.674 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.674 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.674 * [taylor]: Taking taylor expansion of k in k 1.674 * [taylor]: Taking taylor expansion of 1.0 in k 1.674 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.674 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.674 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.674 * [taylor]: Taking taylor expansion of -2.0 in k 1.674 * [taylor]: Taking taylor expansion of PI in k 1.674 * [taylor]: Taking taylor expansion of (log n) in k 1.674 * [taylor]: Taking taylor expansion of n in k 1.675 * [taylor]: Taking taylor expansion of 0 in k 1.676 * [taylor]: Taking taylor expansion of 0 in k 1.676 * [taylor]: Taking taylor expansion of 0 in k 1.677 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.677 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.677 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.677 * [taylor]: Taking taylor expansion of 2.0 in n 1.677 * [taylor]: Taking taylor expansion of (* n PI) in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.677 * [taylor]: Taking taylor expansion of 2.0 in n 1.677 * [taylor]: Taking taylor expansion of (* n PI) in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of 2.0 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of 2.0 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.678 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of -2.0 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of -2.0 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.679 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.679 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.679 * [taylor]: Taking taylor expansion of 2.0 in n 1.679 * [taylor]: Taking taylor expansion of (* n PI) in n 1.679 * [taylor]: Taking taylor expansion of n in n 1.679 * [taylor]: Taking taylor expansion of PI in n 1.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.679 * [taylor]: Taking taylor expansion of 2.0 in n 1.679 * [taylor]: Taking taylor expansion of (* n PI) in n 1.679 * [taylor]: Taking taylor expansion of n in n 1.679 * [taylor]: Taking taylor expansion of PI in n 1.680 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.680 * [taylor]: Taking taylor expansion of 2.0 in n 1.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.680 * [taylor]: Taking taylor expansion of PI in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.680 * [taylor]: Taking taylor expansion of 2.0 in n 1.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.680 * [taylor]: Taking taylor expansion of PI in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.680 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.680 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.680 * [taylor]: Taking taylor expansion of -2.0 in n 1.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.680 * [taylor]: Taking taylor expansion of PI in n 1.681 * [taylor]: Taking taylor expansion of n in n 1.681 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.681 * [taylor]: Taking taylor expansion of -2.0 in n 1.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.681 * [taylor]: Taking taylor expansion of PI in n 1.681 * [taylor]: Taking taylor expansion of n in n 1.681 * * * [progress]: simplifying candidates 1.684 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 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 (* 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(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)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 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)) (* (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log 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) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log 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) (pow (* (* 2.0 PI) n) 0.25))))) (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) 1.753 * * * [progress]: adding candidates to table 3.727 * * [progress]: iteration 3 / 4 3.727 * * * [progress]: picking best candidate 3.797 * * * * [pick]: Picked # 3.797 * * * [progress]: localizing error 3.818 * * * [progress]: generating rewritten candidates 3.819 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.831 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 3.841 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.847 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.861 * * * [progress]: generating series expansions 3.861 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.861 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.861 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.861 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.861 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.861 * [taylor]: Taking taylor expansion of 0.25 in k 3.861 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.861 * [taylor]: Taking taylor expansion of 1.0 in k 3.861 * [taylor]: Taking taylor expansion of k in k 3.861 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.861 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.861 * [taylor]: Taking taylor expansion of 2.0 in k 3.861 * [taylor]: Taking taylor expansion of (* n PI) in k 3.861 * [taylor]: Taking taylor expansion of n in k 3.861 * [taylor]: Taking taylor expansion of PI in k 3.861 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.861 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.861 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.861 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.862 * [taylor]: Taking taylor expansion of 0.25 in n 3.862 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.862 * [taylor]: Taking taylor expansion of 1.0 in n 3.862 * [taylor]: Taking taylor expansion of k in n 3.862 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.862 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.862 * [taylor]: Taking taylor expansion of 2.0 in n 3.862 * [taylor]: Taking taylor expansion of (* n PI) in n 3.862 * [taylor]: Taking taylor expansion of n in n 3.862 * [taylor]: Taking taylor expansion of PI in n 3.862 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.862 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.862 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.862 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.862 * [taylor]: Taking taylor expansion of 0.25 in n 3.862 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.862 * [taylor]: Taking taylor expansion of 1.0 in n 3.862 * [taylor]: Taking taylor expansion of k in n 3.862 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.862 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.862 * [taylor]: Taking taylor expansion of 2.0 in n 3.862 * [taylor]: Taking taylor expansion of (* n PI) in n 3.862 * [taylor]: Taking taylor expansion of n in n 3.862 * [taylor]: Taking taylor expansion of PI in n 3.863 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.863 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.863 * [taylor]: Taking taylor expansion of 0.25 in k 3.863 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.863 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.863 * [taylor]: Taking taylor expansion of 1.0 in k 3.863 * [taylor]: Taking taylor expansion of k in k 3.863 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.863 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.863 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.863 * [taylor]: Taking taylor expansion of 2.0 in k 3.863 * [taylor]: Taking taylor expansion of PI in k 3.863 * [taylor]: Taking taylor expansion of (log n) in k 3.863 * [taylor]: Taking taylor expansion of n in k 3.864 * [taylor]: Taking taylor expansion of 0 in k 3.865 * [taylor]: Taking taylor expansion of 0 in k 3.868 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.868 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.868 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.868 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.868 * [taylor]: Taking taylor expansion of 0.25 in k 3.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.868 * [taylor]: Taking taylor expansion of 1.0 in k 3.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.868 * [taylor]: Taking taylor expansion of k in k 3.868 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.868 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.868 * [taylor]: Taking taylor expansion of 2.0 in k 3.868 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.868 * [taylor]: Taking taylor expansion of PI in k 3.868 * [taylor]: Taking taylor expansion of n in k 3.869 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.869 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.869 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.869 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.869 * [taylor]: Taking taylor expansion of 0.25 in n 3.869 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.869 * [taylor]: Taking taylor expansion of 1.0 in n 3.869 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.869 * [taylor]: Taking taylor expansion of k in n 3.869 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.869 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.869 * [taylor]: Taking taylor expansion of 2.0 in n 3.869 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.869 * [taylor]: Taking taylor expansion of PI in n 3.869 * [taylor]: Taking taylor expansion of n in n 3.869 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.870 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.870 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.870 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.870 * [taylor]: Taking taylor expansion of 0.25 in n 3.870 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.870 * [taylor]: Taking taylor expansion of 1.0 in n 3.870 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.870 * [taylor]: Taking taylor expansion of k in n 3.870 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.870 * [taylor]: Taking taylor expansion of 2.0 in n 3.870 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.870 * [taylor]: Taking taylor expansion of PI in n 3.870 * [taylor]: Taking taylor expansion of n in n 3.870 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.870 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.870 * [taylor]: Taking taylor expansion of 0.25 in k 3.870 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.870 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.870 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.870 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.870 * [taylor]: Taking taylor expansion of 2.0 in k 3.870 * [taylor]: Taking taylor expansion of PI in k 3.870 * [taylor]: Taking taylor expansion of (log n) in k 3.870 * [taylor]: Taking taylor expansion of n in k 3.871 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.871 * [taylor]: Taking taylor expansion of 1.0 in k 3.871 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.871 * [taylor]: Taking taylor expansion of k in k 3.872 * [taylor]: Taking taylor expansion of 0 in k 3.872 * [taylor]: Taking taylor expansion of 0 in k 3.873 * [taylor]: Taking taylor expansion of 0 in k 3.873 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.873 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.873 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.873 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.873 * [taylor]: Taking taylor expansion of 0.25 in k 3.873 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.873 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.873 * [taylor]: Taking taylor expansion of k in k 3.873 * [taylor]: Taking taylor expansion of 1.0 in k 3.874 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.874 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.874 * [taylor]: Taking taylor expansion of -2.0 in k 3.874 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.874 * [taylor]: Taking taylor expansion of PI in k 3.874 * [taylor]: Taking taylor expansion of n in k 3.874 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.874 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.874 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.874 * [taylor]: Taking taylor expansion of 0.25 in n 3.874 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.874 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.874 * [taylor]: Taking taylor expansion of k in n 3.874 * [taylor]: Taking taylor expansion of 1.0 in n 3.874 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.874 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.874 * [taylor]: Taking taylor expansion of -2.0 in n 3.874 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.874 * [taylor]: Taking taylor expansion of PI in n 3.874 * [taylor]: Taking taylor expansion of n in n 3.875 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.875 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.875 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.875 * [taylor]: Taking taylor expansion of 0.25 in n 3.875 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.875 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.875 * [taylor]: Taking taylor expansion of k in n 3.875 * [taylor]: Taking taylor expansion of 1.0 in n 3.875 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.875 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.875 * [taylor]: Taking taylor expansion of -2.0 in n 3.875 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.875 * [taylor]: Taking taylor expansion of PI in n 3.875 * [taylor]: Taking taylor expansion of n in n 3.875 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.875 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.875 * [taylor]: Taking taylor expansion of 0.25 in k 3.876 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) 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 (* -2.0 PI)) (log n)) in k 3.876 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.876 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.876 * [taylor]: Taking taylor expansion of -2.0 in k 3.876 * [taylor]: Taking taylor expansion of PI in k 3.876 * [taylor]: Taking taylor expansion of (log n) in k 3.876 * [taylor]: Taking taylor expansion of n in k 3.877 * [taylor]: Taking taylor expansion of 0 in k 3.878 * [taylor]: Taking taylor expansion of 0 in k 3.878 * [taylor]: Taking taylor expansion of 0 in k 3.879 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 3.879 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 3.879 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 3.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 3.879 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 3.879 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.879 * [taylor]: Taking taylor expansion of 0.25 in k 3.879 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.879 * [taylor]: Taking taylor expansion of 1.0 in k 3.879 * [taylor]: Taking taylor expansion of k in k 3.879 * [taylor]: Taking taylor expansion of (log n) in k 3.879 * [taylor]: Taking taylor expansion of n in k 3.879 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.879 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.879 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.879 * [taylor]: Taking taylor expansion of 0.25 in n 3.879 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.879 * [taylor]: Taking taylor expansion of 1.0 in n 3.879 * [taylor]: Taking taylor expansion of k in n 3.879 * [taylor]: Taking taylor expansion of (log n) in n 3.879 * [taylor]: Taking taylor expansion of n in n 3.879 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 3.879 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 3.879 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 3.879 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.879 * [taylor]: Taking taylor expansion of 0.25 in n 3.879 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.879 * [taylor]: Taking taylor expansion of 1.0 in n 3.879 * [taylor]: Taking taylor expansion of k in n 3.879 * [taylor]: Taking taylor expansion of (log n) in n 3.879 * [taylor]: Taking taylor expansion of n in n 3.880 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 3.880 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 3.880 * [taylor]: Taking taylor expansion of 0.25 in k 3.880 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 3.880 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.880 * [taylor]: Taking taylor expansion of 1.0 in k 3.880 * [taylor]: Taking taylor expansion of k in k 3.880 * [taylor]: Taking taylor expansion of (log n) in k 3.880 * [taylor]: Taking taylor expansion of n in k 3.880 * [taylor]: Taking taylor expansion of 0 in k 3.881 * [taylor]: Taking taylor expansion of 0 in k 3.883 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.883 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 3.883 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 3.883 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.883 * [taylor]: Taking taylor expansion of 0.25 in k 3.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.883 * [taylor]: Taking taylor expansion of 1.0 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 (log (/ 1 n)) in k 3.883 * [taylor]: Taking taylor expansion of (/ 1 n) in k 3.883 * [taylor]: Taking taylor expansion of n in k 3.883 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.883 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.883 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.883 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.883 * [taylor]: Taking taylor expansion of 0.25 in n 3.883 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.883 * [taylor]: Taking taylor expansion of 1.0 in n 3.883 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.883 * [taylor]: Taking taylor expansion of k in n 3.883 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.883 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.883 * [taylor]: Taking taylor expansion of n in n 3.884 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.884 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 3.884 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 3.884 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.884 * [taylor]: Taking taylor expansion of 0.25 in n 3.884 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.884 * [taylor]: Taking taylor expansion of 1.0 in n 3.884 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.884 * [taylor]: Taking taylor expansion of k in n 3.884 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 3.884 * [taylor]: Taking taylor expansion of (/ 1 n) in n 3.884 * [taylor]: Taking taylor expansion of n in n 3.884 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 3.884 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 3.884 * [taylor]: Taking taylor expansion of -0.25 in k 3.884 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 3.884 * [taylor]: Taking taylor expansion of (log n) in k 3.884 * [taylor]: Taking taylor expansion of n in k 3.884 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.884 * [taylor]: Taking taylor expansion of 1.0 in k 3.884 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.884 * [taylor]: Taking taylor expansion of k in k 3.885 * [taylor]: Taking taylor expansion of 0 in k 3.886 * [taylor]: Taking taylor expansion of 0 in k 3.887 * [taylor]: Taking taylor expansion of 0 in k 3.887 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.887 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 3.887 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 3.887 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.887 * [taylor]: Taking taylor expansion of 0.25 in k 3.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.887 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.887 * [taylor]: Taking taylor expansion of k in k 3.887 * [taylor]: Taking taylor expansion of 1.0 in k 3.887 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 3.887 * [taylor]: Taking taylor expansion of (/ -1 n) in k 3.887 * [taylor]: Taking taylor expansion of -1 in k 3.887 * [taylor]: Taking taylor expansion of n in k 3.887 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.887 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.887 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.887 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.887 * [taylor]: Taking taylor expansion of 0.25 in n 3.887 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.887 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.887 * [taylor]: Taking taylor expansion of k in n 3.887 * [taylor]: Taking taylor expansion of 1.0 in n 3.887 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.887 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.887 * [taylor]: Taking taylor expansion of -1 in n 3.887 * [taylor]: Taking taylor expansion of n in n 3.888 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.888 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 3.888 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 3.888 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.888 * [taylor]: Taking taylor expansion of 0.25 in n 3.888 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.888 * [taylor]: Taking taylor expansion of k in n 3.888 * [taylor]: Taking taylor expansion of 1.0 in n 3.888 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 3.888 * [taylor]: Taking taylor expansion of (/ -1 n) in n 3.888 * [taylor]: Taking taylor expansion of -1 in n 3.888 * [taylor]: Taking taylor expansion of n in n 3.888 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 3.888 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 3.889 * [taylor]: Taking taylor expansion of 0.25 in k 3.889 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 3.889 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 3.889 * [taylor]: Taking taylor expansion of (log -1) in k 3.889 * [taylor]: Taking taylor expansion of -1 in k 3.889 * [taylor]: Taking taylor expansion of (log n) in k 3.889 * [taylor]: Taking taylor expansion of n in k 3.889 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.889 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.889 * [taylor]: Taking taylor expansion of k in k 3.889 * [taylor]: Taking taylor expansion of 1.0 in k 3.890 * [taylor]: Taking taylor expansion of 0 in k 3.890 * [taylor]: Taking taylor expansion of 0 in k 3.891 * [taylor]: Taking taylor expansion of 0 in k 3.891 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.891 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.891 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.891 * [taylor]: Taking taylor expansion of 2.0 in n 3.891 * [taylor]: Taking taylor expansion of (* n PI) in n 3.891 * [taylor]: Taking taylor expansion of n in n 3.891 * [taylor]: Taking taylor expansion of PI in n 3.891 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.891 * [taylor]: Taking taylor expansion of 2.0 in n 3.891 * [taylor]: Taking taylor expansion of (* n PI) in n 3.891 * [taylor]: Taking taylor expansion of n in n 3.891 * [taylor]: Taking taylor expansion of PI in n 3.892 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.892 * [taylor]: Taking taylor expansion of 2.0 in n 3.892 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.892 * [taylor]: Taking taylor expansion of PI in n 3.892 * [taylor]: Taking taylor expansion of n in n 3.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.892 * [taylor]: Taking taylor expansion of 2.0 in n 3.892 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.892 * [taylor]: Taking taylor expansion of PI in n 3.892 * [taylor]: Taking taylor expansion of n in n 3.893 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.893 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.893 * [taylor]: Taking taylor expansion of -2.0 in n 3.893 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.893 * [taylor]: Taking taylor expansion of PI in n 3.893 * [taylor]: Taking taylor expansion of n in n 3.893 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.893 * [taylor]: Taking taylor expansion of -2.0 in n 3.893 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.893 * [taylor]: Taking taylor expansion of PI in n 3.893 * [taylor]: Taking taylor expansion of n in n 3.893 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.893 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.893 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.893 * [taylor]: Taking taylor expansion of 1.0 in k 3.893 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.893 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.893 * [taylor]: Taking taylor expansion of k in k 3.894 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.894 * [taylor]: Taking taylor expansion of 1.0 in k 3.894 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.894 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.894 * [taylor]: Taking taylor expansion of k in k 3.895 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.895 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.895 * [taylor]: Taking taylor expansion of 1.0 in k 3.895 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.895 * [taylor]: Taking taylor expansion of k in k 3.895 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.895 * [taylor]: Taking taylor expansion of 1.0 in k 3.895 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.895 * [taylor]: Taking taylor expansion of k in k 3.896 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.896 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.896 * [taylor]: Taking taylor expansion of 1.0 in k 3.896 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.896 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.896 * [taylor]: Taking taylor expansion of -1 in k 3.896 * [taylor]: Taking taylor expansion of k in k 3.896 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.896 * [taylor]: Taking taylor expansion of 1.0 in k 3.896 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.896 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.896 * [taylor]: Taking taylor expansion of -1 in k 3.896 * [taylor]: Taking taylor expansion of k in k 3.897 * * * [progress]: simplifying candidates 3.899 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 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)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* (log n) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 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 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (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 1) (* (cbrt 2) (cbrt 2)))) (pow n (/ (/ 1 1) (sqrt 2))) (pow n (/ (/ 1 1) 1)) (pow n (/ 1 (* (cbrt 2) (cbrt 2)))) (pow n (/ 1 (sqrt 2))) (pow n (/ 1 1)) (pow n (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow n (/ (- 1.0 k) (sqrt 2))) (pow n (/ (- 1.0 k) 1)) (pow n 1) (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)) (pow 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow 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 n (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 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)))))) (- (+ (* 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))))) 3.911 * * [simplify]: iteration 0 : 1123 enodes (cost 1673 ) 3.928 * * [simplify]: iteration 1 : 4546 enodes (cost 1607 ) 3.985 * * [simplify]: iteration 2 : 5002 enodes (cost 1602 ) 3.993 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 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)) (* (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) 1)) (* (* 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)) (expm1 (pow n (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow n (/ (/ (- 1.0 k) 2.0) 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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (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) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log 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) (pow (* (* 2.0 PI) n) 0.25))))) (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)))))) (fma (* 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 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) 3.994 * * * [progress]: adding candidates to table 6.462 * * [progress]: iteration 4 / 4 6.462 * * * [progress]: picking best candidate 6.526 * * * * [pick]: Picked # 6.526 * * * [progress]: localizing error 6.550 * * * [progress]: generating rewritten candidates 6.550 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 6.577 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 6.602 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2) 6.610 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 6.662 * * * [progress]: generating series expansions 6.663 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 6.663 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in (n k) around 0 6.663 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in k 6.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.663 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.663 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in k 6.663 * [taylor]: Taking taylor expansion of 0.125 in k 6.663 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.663 * [taylor]: Taking taylor expansion of 1.0 in k 6.663 * [taylor]: Taking taylor expansion of k in k 6.663 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.663 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.663 * [taylor]: Taking taylor expansion of 2.0 in k 6.663 * [taylor]: Taking taylor expansion of (* n PI) in k 6.663 * [taylor]: Taking taylor expansion of n in k 6.663 * [taylor]: Taking taylor expansion of PI in k 6.663 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 6.663 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.663 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.663 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 6.663 * [taylor]: Taking taylor expansion of 0.125 in n 6.664 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.664 * [taylor]: Taking taylor expansion of 1.0 in n 6.664 * [taylor]: Taking taylor expansion of k in n 6.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.664 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.664 * [taylor]: Taking taylor expansion of 2.0 in n 6.664 * [taylor]: Taking taylor expansion of (* n PI) in n 6.664 * [taylor]: Taking taylor expansion of n in n 6.664 * [taylor]: Taking taylor expansion of PI in n 6.664 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 6.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.664 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.664 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 6.664 * [taylor]: Taking taylor expansion of 0.125 in n 6.664 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.664 * [taylor]: Taking taylor expansion of 1.0 in n 6.664 * [taylor]: Taking taylor expansion of k in n 6.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.664 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.664 * [taylor]: Taking taylor expansion of 2.0 in n 6.664 * [taylor]: Taking taylor expansion of (* n PI) in n 6.664 * [taylor]: Taking taylor expansion of n in n 6.664 * [taylor]: Taking taylor expansion of PI in n 6.665 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.665 * [taylor]: Taking taylor expansion of (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.665 * [taylor]: Taking taylor expansion of 0.125 in k 6.665 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.665 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.665 * [taylor]: Taking taylor expansion of 1.0 in k 6.665 * [taylor]: Taking taylor expansion of k in k 6.665 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.665 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.665 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.665 * [taylor]: Taking taylor expansion of 2.0 in k 6.665 * [taylor]: Taking taylor expansion of PI in k 6.665 * [taylor]: Taking taylor expansion of (log n) in k 6.665 * [taylor]: Taking taylor expansion of n in k 6.666 * [taylor]: Taking taylor expansion of 0 in k 6.668 * [taylor]: Taking taylor expansion of 0 in k 6.670 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in (n k) around 0 6.670 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in k 6.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.670 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.670 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in k 6.670 * [taylor]: Taking taylor expansion of 0.125 in k 6.670 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.670 * [taylor]: Taking taylor expansion of 1.0 in k 6.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.670 * [taylor]: Taking taylor expansion of k in k 6.670 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.670 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.670 * [taylor]: Taking taylor expansion of 2.0 in k 6.670 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.670 * [taylor]: Taking taylor expansion of PI in k 6.670 * [taylor]: Taking taylor expansion of n in k 6.671 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 6.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.671 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.671 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 6.671 * [taylor]: Taking taylor expansion of 0.125 in n 6.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.671 * [taylor]: Taking taylor expansion of 1.0 in n 6.671 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.671 * [taylor]: Taking taylor expansion of k in n 6.671 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.671 * [taylor]: Taking taylor expansion of 2.0 in n 6.671 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.671 * [taylor]: Taking taylor expansion of PI in n 6.671 * [taylor]: Taking taylor expansion of n in n 6.671 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 6.671 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.671 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.671 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 6.671 * [taylor]: Taking taylor expansion of 0.125 in n 6.671 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.672 * [taylor]: Taking taylor expansion of 1.0 in n 6.672 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.672 * [taylor]: Taking taylor expansion of k in n 6.672 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.672 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.672 * [taylor]: Taking taylor expansion of 2.0 in n 6.672 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.672 * [taylor]: Taking taylor expansion of PI in n 6.672 * [taylor]: Taking taylor expansion of n in n 6.672 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.672 * [taylor]: Taking taylor expansion of (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.672 * [taylor]: Taking taylor expansion of 0.125 in k 6.672 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.672 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.672 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.672 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.672 * [taylor]: Taking taylor expansion of 2.0 in k 6.672 * [taylor]: Taking taylor expansion of PI in k 6.672 * [taylor]: Taking taylor expansion of (log n) in k 6.672 * [taylor]: Taking taylor expansion of n in k 6.672 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.672 * [taylor]: Taking taylor expansion of 1.0 in k 6.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.673 * [taylor]: Taking taylor expansion of k in k 6.674 * [taylor]: Taking taylor expansion of 0 in k 6.674 * [taylor]: Taking taylor expansion of 0 in k 6.675 * [taylor]: Taking taylor expansion of 0 in k 6.675 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in (n k) around 0 6.675 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in k 6.675 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.675 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.675 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in k 6.675 * [taylor]: Taking taylor expansion of 0.125 in k 6.675 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.675 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.675 * [taylor]: Taking taylor expansion of k in k 6.675 * [taylor]: Taking taylor expansion of 1.0 in k 6.675 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.675 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.675 * [taylor]: Taking taylor expansion of -2.0 in k 6.675 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.675 * [taylor]: Taking taylor expansion of PI in k 6.676 * [taylor]: Taking taylor expansion of n in k 6.676 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 6.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.676 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.676 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 6.676 * [taylor]: Taking taylor expansion of 0.125 in n 6.676 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.676 * [taylor]: Taking taylor expansion of k in n 6.676 * [taylor]: Taking taylor expansion of 1.0 in n 6.676 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.676 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.676 * [taylor]: Taking taylor expansion of -2.0 in n 6.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.676 * [taylor]: Taking taylor expansion of PI in n 6.676 * [taylor]: Taking taylor expansion of n in n 6.677 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 6.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.677 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.677 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 6.677 * [taylor]: Taking taylor expansion of 0.125 in n 6.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.677 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.677 * [taylor]: Taking taylor expansion of k in n 6.677 * [taylor]: Taking taylor expansion of 1.0 in n 6.677 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.677 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.677 * [taylor]: Taking taylor expansion of -2.0 in n 6.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.677 * [taylor]: Taking taylor expansion of PI in n 6.677 * [taylor]: Taking taylor expansion of n in n 6.677 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.677 * [taylor]: Taking taylor expansion of (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.677 * [taylor]: Taking taylor expansion of 0.125 in k 6.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.677 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.677 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.677 * [taylor]: Taking taylor expansion of k in k 6.677 * [taylor]: Taking taylor expansion of 1.0 in k 6.677 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.677 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.677 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.677 * [taylor]: Taking taylor expansion of -2.0 in k 6.677 * [taylor]: Taking taylor expansion of PI in k 6.678 * [taylor]: Taking taylor expansion of (log n) in k 6.678 * [taylor]: Taking taylor expansion of n in k 6.679 * [taylor]: Taking taylor expansion of 0 in k 6.679 * [taylor]: Taking taylor expansion of 0 in k 6.680 * [taylor]: Taking taylor expansion of 0 in k 6.680 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 6.680 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in (n k) around 0 6.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in k 6.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.680 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.680 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in k 6.680 * [taylor]: Taking taylor expansion of 0.125 in k 6.681 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.681 * [taylor]: Taking taylor expansion of 1.0 in k 6.681 * [taylor]: Taking taylor expansion of k in k 6.681 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.681 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.681 * [taylor]: Taking taylor expansion of 2.0 in k 6.681 * [taylor]: Taking taylor expansion of (* n PI) in k 6.681 * [taylor]: Taking taylor expansion of n in k 6.681 * [taylor]: Taking taylor expansion of PI in k 6.681 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 6.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.681 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.681 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 6.681 * [taylor]: Taking taylor expansion of 0.125 in n 6.681 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.681 * [taylor]: Taking taylor expansion of 1.0 in n 6.681 * [taylor]: Taking taylor expansion of k in n 6.681 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.681 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.681 * [taylor]: Taking taylor expansion of 2.0 in n 6.681 * [taylor]: Taking taylor expansion of (* n PI) in n 6.681 * [taylor]: Taking taylor expansion of n in n 6.681 * [taylor]: Taking taylor expansion of PI in n 6.682 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.125 (- 1.0 k))) in n 6.682 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.682 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.682 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 k)) in n 6.682 * [taylor]: Taking taylor expansion of 0.125 in n 6.682 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.682 * [taylor]: Taking taylor expansion of 1.0 in n 6.682 * [taylor]: Taking taylor expansion of k in n 6.682 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.682 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.682 * [taylor]: Taking taylor expansion of 2.0 in n 6.682 * [taylor]: Taking taylor expansion of (* n PI) in n 6.682 * [taylor]: Taking taylor expansion of n in n 6.682 * [taylor]: Taking taylor expansion of PI in n 6.682 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.682 * [taylor]: Taking taylor expansion of (* 0.125 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.682 * [taylor]: Taking taylor expansion of 0.125 in k 6.682 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.682 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.682 * [taylor]: Taking taylor expansion of 1.0 in k 6.682 * [taylor]: Taking taylor expansion of k in k 6.682 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.682 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.682 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.682 * [taylor]: Taking taylor expansion of 2.0 in k 6.682 * [taylor]: Taking taylor expansion of PI in k 6.683 * [taylor]: Taking taylor expansion of (log n) in k 6.683 * [taylor]: Taking taylor expansion of n in k 6.683 * [taylor]: Taking taylor expansion of 0 in k 6.685 * [taylor]: Taking taylor expansion of 0 in k 6.687 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in (n k) around 0 6.688 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in k 6.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.688 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.688 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in k 6.688 * [taylor]: Taking taylor expansion of 0.125 in k 6.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.688 * [taylor]: Taking taylor expansion of 1.0 in k 6.688 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.688 * [taylor]: Taking taylor expansion of k in k 6.688 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.688 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.688 * [taylor]: Taking taylor expansion of 2.0 in k 6.688 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.688 * [taylor]: Taking taylor expansion of PI in k 6.688 * [taylor]: Taking taylor expansion of n in k 6.688 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 6.688 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.688 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.688 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 6.688 * [taylor]: Taking taylor expansion of 0.125 in n 6.688 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.688 * [taylor]: Taking taylor expansion of 1.0 in n 6.688 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.688 * [taylor]: Taking taylor expansion of k in n 6.688 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.688 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.688 * [taylor]: Taking taylor expansion of 2.0 in n 6.688 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.688 * [taylor]: Taking taylor expansion of PI in n 6.688 * [taylor]: Taking taylor expansion of n in n 6.689 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.125 (- 1.0 (/ 1 k)))) in n 6.689 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.689 * [taylor]: Taking taylor expansion of (* (* 0.125 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.689 * [taylor]: Taking taylor expansion of (* 0.125 (- 1.0 (/ 1 k))) in n 6.689 * [taylor]: Taking taylor expansion of 0.125 in n 6.689 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.689 * [taylor]: Taking taylor expansion of 1.0 in n 6.689 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.689 * [taylor]: Taking taylor expansion of k in n 6.689 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.689 * [taylor]: Taking taylor expansion of 2.0 in n 6.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.689 * [taylor]: Taking taylor expansion of PI in n 6.689 * [taylor]: Taking taylor expansion of n in n 6.690 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.690 * [taylor]: Taking taylor expansion of (* 0.125 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.690 * [taylor]: Taking taylor expansion of 0.125 in k 6.690 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.690 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.690 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.690 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.690 * [taylor]: Taking taylor expansion of 2.0 in k 6.690 * [taylor]: Taking taylor expansion of PI in k 6.690 * [taylor]: Taking taylor expansion of (log n) in k 6.690 * [taylor]: Taking taylor expansion of n in k 6.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.690 * [taylor]: Taking taylor expansion of 1.0 in k 6.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.690 * [taylor]: Taking taylor expansion of k in k 6.691 * [taylor]: Taking taylor expansion of 0 in k 6.692 * [taylor]: Taking taylor expansion of 0 in k 6.692 * [taylor]: Taking taylor expansion of 0 in k 6.693 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in (n k) around 0 6.693 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in k 6.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.693 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.693 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in k 6.693 * [taylor]: Taking taylor expansion of 0.125 in k 6.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.693 * [taylor]: Taking taylor expansion of k in k 6.693 * [taylor]: Taking taylor expansion of 1.0 in k 6.693 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.693 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.693 * [taylor]: Taking taylor expansion of -2.0 in k 6.693 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.693 * [taylor]: Taking taylor expansion of PI in k 6.693 * [taylor]: Taking taylor expansion of n in k 6.693 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 6.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.693 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.693 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 6.693 * [taylor]: Taking taylor expansion of 0.125 in n 6.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.693 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.693 * [taylor]: Taking taylor expansion of k in n 6.693 * [taylor]: Taking taylor expansion of 1.0 in n 6.693 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.693 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.693 * [taylor]: Taking taylor expansion of -2.0 in n 6.693 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.693 * [taylor]: Taking taylor expansion of PI in n 6.693 * [taylor]: Taking taylor expansion of n in n 6.694 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.125 (+ (/ 1 k) 1.0))) in n 6.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.694 * [taylor]: Taking taylor expansion of (* (* 0.125 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.694 * [taylor]: Taking taylor expansion of (* 0.125 (+ (/ 1 k) 1.0)) in n 6.694 * [taylor]: Taking taylor expansion of 0.125 in n 6.694 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.694 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.694 * [taylor]: Taking taylor expansion of k in n 6.694 * [taylor]: Taking taylor expansion of 1.0 in n 6.694 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.694 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.694 * [taylor]: Taking taylor expansion of -2.0 in n 6.694 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.694 * [taylor]: Taking taylor expansion of PI in n 6.694 * [taylor]: Taking taylor expansion of n in n 6.701 * [taylor]: Taking taylor expansion of (exp (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.701 * [taylor]: Taking taylor expansion of (* 0.125 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.701 * [taylor]: Taking taylor expansion of 0.125 in k 6.701 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.701 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.701 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.701 * [taylor]: Taking taylor expansion of k in k 6.701 * [taylor]: Taking taylor expansion of 1.0 in k 6.701 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.701 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.701 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.701 * [taylor]: Taking taylor expansion of -2.0 in k 6.701 * [taylor]: Taking taylor expansion of PI in k 6.702 * [taylor]: Taking taylor expansion of (log n) in k 6.702 * [taylor]: Taking taylor expansion of n in k 6.703 * [taylor]: Taking taylor expansion of 0 in k 6.703 * [taylor]: Taking taylor expansion of 0 in k 6.704 * [taylor]: Taking taylor expansion of 0 in k 6.704 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2) 6.704 * [approximate]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in (n k) around 0 6.704 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in k 6.704 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in k 6.705 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in k 6.705 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 6.705 * [taylor]: Taking taylor expansion of 0.25 in k 6.705 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.705 * [taylor]: Taking taylor expansion of 1.0 in k 6.705 * [taylor]: Taking taylor expansion of k in k 6.705 * [taylor]: Taking taylor expansion of (log n) in k 6.705 * [taylor]: Taking taylor expansion of n in k 6.705 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 6.705 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 6.705 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 6.705 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 6.705 * [taylor]: Taking taylor expansion of 0.25 in n 6.705 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.705 * [taylor]: Taking taylor expansion of 1.0 in n 6.705 * [taylor]: Taking taylor expansion of k in n 6.705 * [taylor]: Taking taylor expansion of (log n) in n 6.705 * [taylor]: Taking taylor expansion of n in n 6.705 * [taylor]: Taking taylor expansion of (pow n (* 0.25 (- 1.0 k))) in n 6.705 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log n))) in n 6.705 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log n)) in n 6.705 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 6.705 * [taylor]: Taking taylor expansion of 0.25 in n 6.705 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.705 * [taylor]: Taking taylor expansion of 1.0 in n 6.705 * [taylor]: Taking taylor expansion of k in n 6.705 * [taylor]: Taking taylor expansion of (log n) in n 6.705 * [taylor]: Taking taylor expansion of n in n 6.706 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (log n)))) in k 6.706 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (log n))) in k 6.706 * [taylor]: Taking taylor expansion of 0.25 in k 6.706 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (log n)) in k 6.706 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.706 * [taylor]: Taking taylor expansion of 1.0 in k 6.706 * [taylor]: Taking taylor expansion of k in k 6.706 * [taylor]: Taking taylor expansion of (log n) in k 6.706 * [taylor]: Taking taylor expansion of n in k 6.706 * [taylor]: Taking taylor expansion of 0 in k 6.707 * [taylor]: Taking taylor expansion of 0 in k 6.708 * [approximate]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 6.708 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in k 6.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.708 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.708 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 6.708 * [taylor]: Taking taylor expansion of 0.25 in k 6.708 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.709 * [taylor]: Taking taylor expansion of 1.0 in k 6.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.709 * [taylor]: Taking taylor expansion of k in k 6.709 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.709 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.709 * [taylor]: Taking taylor expansion of n in k 6.709 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 6.709 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.709 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.709 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 6.709 * [taylor]: Taking taylor expansion of 0.25 in n 6.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.709 * [taylor]: Taking taylor expansion of 1.0 in n 6.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.709 * [taylor]: Taking taylor expansion of k in n 6.709 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.709 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.709 * [taylor]: Taking taylor expansion of n in n 6.709 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.25 (- 1.0 (/ 1 k)))) in n 6.709 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.709 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.709 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 6.709 * [taylor]: Taking taylor expansion of 0.25 in n 6.709 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.709 * [taylor]: Taking taylor expansion of 1.0 in n 6.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.709 * [taylor]: Taking taylor expansion of k in n 6.710 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.710 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.710 * [taylor]: Taking taylor expansion of n in n 6.710 * [taylor]: Taking taylor expansion of (exp (* -0.25 (* (log n) (- 1.0 (/ 1 k))))) in k 6.710 * [taylor]: Taking taylor expansion of (* -0.25 (* (log n) (- 1.0 (/ 1 k)))) in k 6.710 * [taylor]: Taking taylor expansion of -0.25 in k 6.710 * [taylor]: Taking taylor expansion of (* (log n) (- 1.0 (/ 1 k))) in k 6.710 * [taylor]: Taking taylor expansion of (log n) in k 6.710 * [taylor]: Taking taylor expansion of n in k 6.710 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.710 * [taylor]: Taking taylor expansion of 1.0 in k 6.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.710 * [taylor]: Taking taylor expansion of k in k 6.711 * [taylor]: Taking taylor expansion of 0 in k 6.711 * [taylor]: Taking taylor expansion of 0 in k 6.712 * [taylor]: Taking taylor expansion of 0 in k 6.712 * [approximate]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 6.712 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in k 6.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.712 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.712 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 6.712 * [taylor]: Taking taylor expansion of 0.25 in k 6.712 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.712 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.712 * [taylor]: Taking taylor expansion of k in k 6.712 * [taylor]: Taking taylor expansion of 1.0 in k 6.712 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.712 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.712 * [taylor]: Taking taylor expansion of -1 in k 6.712 * [taylor]: Taking taylor expansion of n in k 6.712 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 6.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.713 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.713 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 6.713 * [taylor]: Taking taylor expansion of 0.25 in n 6.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.713 * [taylor]: Taking taylor expansion of k in n 6.713 * [taylor]: Taking taylor expansion of 1.0 in n 6.713 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.713 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.713 * [taylor]: Taking taylor expansion of -1 in n 6.713 * [taylor]: Taking taylor expansion of n in n 6.713 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.25 (+ (/ 1 k) 1.0))) in n 6.713 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.713 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.713 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 6.713 * [taylor]: Taking taylor expansion of 0.25 in n 6.713 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.713 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.713 * [taylor]: Taking taylor expansion of k in n 6.713 * [taylor]: Taking taylor expansion of 1.0 in n 6.713 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.713 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.713 * [taylor]: Taking taylor expansion of -1 in n 6.713 * [taylor]: Taking taylor expansion of n in n 6.714 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)))) in k 6.714 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log -1) (log n)) (+ (/ 1 k) 1.0))) in k 6.714 * [taylor]: Taking taylor expansion of 0.25 in k 6.714 * [taylor]: Taking taylor expansion of (* (- (log -1) (log n)) (+ (/ 1 k) 1.0)) in k 6.714 * [taylor]: Taking taylor expansion of (- (log -1) (log n)) in k 6.714 * [taylor]: Taking taylor expansion of (log -1) in k 6.714 * [taylor]: Taking taylor expansion of -1 in k 6.714 * [taylor]: Taking taylor expansion of (log n) in k 6.714 * [taylor]: Taking taylor expansion of n in k 6.714 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.714 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.714 * [taylor]: Taking taylor expansion of k in k 6.714 * [taylor]: Taking taylor expansion of 1.0 in k 6.715 * [taylor]: Taking taylor expansion of 0 in k 6.715 * [taylor]: Taking taylor expansion of 0 in k 6.716 * [taylor]: Taking taylor expansion of 0 in k 6.716 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 6.716 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.716 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.716 * [taylor]: Taking taylor expansion of 2.0 in n 6.716 * [taylor]: Taking taylor expansion of (* n PI) in n 6.716 * [taylor]: Taking taylor expansion of n in n 6.716 * [taylor]: Taking taylor expansion of PI in n 6.716 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.716 * [taylor]: Taking taylor expansion of 2.0 in n 6.716 * [taylor]: Taking taylor expansion of (* n PI) in n 6.716 * [taylor]: Taking taylor expansion of n in n 6.716 * [taylor]: Taking taylor expansion of PI in n 6.717 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.717 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.717 * [taylor]: Taking taylor expansion of 2.0 in n 6.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.717 * [taylor]: Taking taylor expansion of PI in n 6.717 * [taylor]: Taking taylor expansion of n in n 6.717 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.717 * [taylor]: Taking taylor expansion of 2.0 in n 6.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.717 * [taylor]: Taking taylor expansion of PI in n 6.717 * [taylor]: Taking taylor expansion of n in n 6.718 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.718 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.718 * [taylor]: Taking taylor expansion of -2.0 in n 6.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.718 * [taylor]: Taking taylor expansion of PI in n 6.718 * [taylor]: Taking taylor expansion of n in n 6.718 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.718 * [taylor]: Taking taylor expansion of -2.0 in n 6.718 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.718 * [taylor]: Taking taylor expansion of PI in n 6.718 * [taylor]: Taking taylor expansion of n in n 6.718 * * * [progress]: simplifying candidates 6.726 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* 1 (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* 1 (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (* 1 (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ 1.0 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ k 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (cbrt (/ (/ (/ (- 1.0 k) 2.0) 2) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (/ (- 1.0 k) 2.0) 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (/ (- 1.0 k) 2.0)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (/ (- 1.0 k) 2.0)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (/ (- 1.0 k) 2.0)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)) (* (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)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (/ (* (cbrt (- 1.0 k)) 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(exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (+ (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.0078125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.0078125 (* (pow k 2) (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (* 0.015625 (* (pow k 2) (* (log (* 2.0 PI)) (* (log n) (exp (* 0.125 (+ (log (* 2.0 PI)) (log n))))))))))) (+ (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (* 0.125 (* k (* (exp (* 0.125 (+ (log (* 2.0 PI)) (log n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- 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(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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (pow (* (* 2.0 PI) n) 0.125) (+ (fma (* 0.0078125 (pow k 2)) (* (pow (exp 0.125) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (fma (* 0.0078125 (pow k 2)) (* (pow (log n) 2) (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (* (* 0.015625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 0.125) (log (* (* 2.0 PI) n))))))) (* (- 0.125) (fma (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log n) (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (pow (* (* 2.0 PI) n) 0.125) (+ (fma (* 0.0078125 (pow k 2)) (* (pow (exp 0.125) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (fma (* 0.0078125 (pow k 2)) (* (pow (log n) 2) (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (* (* 0.015625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (exp 0.125) (log (* (* 2.0 PI) n))))))) (* (- 0.125) (fma (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log n) (* (* k (pow (exp 0.125) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))))))) (exp (* 0.125 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.125 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (* 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 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 6.796 * * * [progress]: adding candidates to table 14.385 * [progress]: [Phase 3 of 3] Extracting. 14.385 * * [regime]: Finding splitpoints for: (# # # # # # #) 14.388 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 14.388 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 14.492 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # #) 14.565 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 14.654 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 14.744 * * * [regime]: Found split indices: #