12.916 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.070 * * * [progress]: [2/2] Setting up program. 0.072 * [progress]: [Phase 2 of 3] Improving. 0.073 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.075 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.076 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.078 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.080 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.086 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.108 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.108 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.108 * * [progress]: iteration 1 / 4 0.108 * * * [progress]: picking best candidate 0.111 * * * * [pick]: Picked # 0.111 * * * [progress]: localizing error 0.123 * * * [progress]: generating rewritten candidates 0.123 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.136 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.141 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.145 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.162 * * * [progress]: generating series expansions 0.162 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.162 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.163 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.163 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.163 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.163 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.163 * [taylor]: Taking taylor expansion of 0.5 in k 0.163 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.163 * [taylor]: Taking taylor expansion of 1.0 in k 0.163 * [taylor]: Taking taylor expansion of k in k 0.163 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.163 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.163 * [taylor]: Taking taylor expansion of 2.0 in k 0.163 * [taylor]: Taking taylor expansion of (* n PI) in k 0.163 * [taylor]: Taking taylor expansion of n in k 0.163 * [taylor]: Taking taylor expansion of PI in k 0.164 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.164 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.164 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.164 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.164 * [taylor]: Taking taylor expansion of 0.5 in n 0.164 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.164 * [taylor]: Taking taylor expansion of 1.0 in n 0.164 * [taylor]: Taking taylor expansion of k in n 0.164 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.164 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.164 * [taylor]: Taking taylor expansion of 2.0 in n 0.164 * [taylor]: Taking taylor expansion of (* n PI) in n 0.164 * [taylor]: Taking taylor expansion of n in n 0.164 * [taylor]: Taking taylor expansion of PI in n 0.169 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.169 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.169 * [taylor]: Taking taylor expansion of 0.5 in n 0.169 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.169 * [taylor]: Taking taylor expansion of 1.0 in n 0.169 * [taylor]: Taking taylor expansion of k in n 0.169 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.169 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.169 * [taylor]: Taking taylor expansion of 2.0 in n 0.169 * [taylor]: Taking taylor expansion of (* n PI) in n 0.169 * [taylor]: Taking taylor expansion of n in n 0.169 * [taylor]: Taking taylor expansion of PI in n 0.175 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.175 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.175 * [taylor]: Taking taylor expansion of 0.5 in k 0.175 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.175 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.175 * [taylor]: Taking taylor expansion of 1.0 in k 0.175 * [taylor]: Taking taylor expansion of k in k 0.175 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.175 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.175 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.175 * [taylor]: Taking taylor expansion of 2.0 in k 0.175 * [taylor]: Taking taylor expansion of PI in k 0.176 * [taylor]: Taking taylor expansion of (log n) in k 0.176 * [taylor]: Taking taylor expansion of n in k 0.185 * [taylor]: Taking taylor expansion of 0 in k 0.201 * [taylor]: Taking taylor expansion of 0 in k 0.225 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.225 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.225 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.225 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.225 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.225 * [taylor]: Taking taylor expansion of 0.5 in k 0.225 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.225 * [taylor]: Taking taylor expansion of 1.0 in k 0.225 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.225 * [taylor]: Taking taylor expansion of k in k 0.225 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.225 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.225 * [taylor]: Taking taylor expansion of 2.0 in k 0.226 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.226 * [taylor]: Taking taylor expansion of PI in k 0.226 * [taylor]: Taking taylor expansion of n in k 0.227 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.227 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.227 * [taylor]: Taking taylor expansion of 0.5 in n 0.227 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.227 * [taylor]: Taking taylor expansion of 1.0 in n 0.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.227 * [taylor]: Taking taylor expansion of k in n 0.227 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.227 * [taylor]: Taking taylor expansion of 2.0 in n 0.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.227 * [taylor]: Taking taylor expansion of PI in n 0.227 * [taylor]: Taking taylor expansion of n in n 0.231 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.231 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.231 * [taylor]: Taking taylor expansion of 0.5 in n 0.231 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.231 * [taylor]: Taking taylor expansion of 1.0 in n 0.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.231 * [taylor]: Taking taylor expansion of k in n 0.231 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.231 * [taylor]: Taking taylor expansion of 2.0 in n 0.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.231 * [taylor]: Taking taylor expansion of PI in n 0.231 * [taylor]: Taking taylor expansion of n in n 0.234 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.235 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.235 * [taylor]: Taking taylor expansion of 0.5 in k 0.235 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.235 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.235 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.235 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.235 * [taylor]: Taking taylor expansion of 2.0 in k 0.235 * [taylor]: Taking taylor expansion of PI in k 0.236 * [taylor]: Taking taylor expansion of (log n) in k 0.236 * [taylor]: Taking taylor expansion of n in k 0.236 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.236 * [taylor]: Taking taylor expansion of 1.0 in k 0.236 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.236 * [taylor]: Taking taylor expansion of k in k 0.245 * [taylor]: Taking taylor expansion of 0 in k 0.252 * [taylor]: Taking taylor expansion of 0 in k 0.261 * [taylor]: Taking taylor expansion of 0 in k 0.262 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.262 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.262 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.262 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.262 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.263 * [taylor]: Taking taylor expansion of 0.5 in k 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.263 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.263 * [taylor]: Taking taylor expansion of k in k 0.263 * [taylor]: Taking taylor expansion of 1.0 in k 0.263 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.263 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.263 * [taylor]: Taking taylor expansion of -2.0 in k 0.263 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.263 * [taylor]: Taking taylor expansion of PI in k 0.263 * [taylor]: Taking taylor expansion of n in k 0.264 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.264 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.264 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.264 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.264 * [taylor]: Taking taylor expansion of 0.5 in n 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.264 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.264 * [taylor]: Taking taylor expansion of k in n 0.264 * [taylor]: Taking taylor expansion of 1.0 in n 0.264 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.264 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.264 * [taylor]: Taking taylor expansion of -2.0 in n 0.264 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.264 * [taylor]: Taking taylor expansion of PI in n 0.264 * [taylor]: Taking taylor expansion of n in n 0.267 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.268 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.268 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.268 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.268 * [taylor]: Taking taylor expansion of 0.5 in n 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.268 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.268 * [taylor]: Taking taylor expansion of k in n 0.268 * [taylor]: Taking taylor expansion of 1.0 in n 0.268 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.268 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.268 * [taylor]: Taking taylor expansion of -2.0 in n 0.268 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.268 * [taylor]: Taking taylor expansion of PI in n 0.268 * [taylor]: Taking taylor expansion of n in n 0.271 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.271 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.271 * [taylor]: Taking taylor expansion of 0.5 in k 0.271 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.271 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.271 * [taylor]: Taking taylor expansion of k in k 0.272 * [taylor]: Taking taylor expansion of 1.0 in k 0.272 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.272 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.272 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.272 * [taylor]: Taking taylor expansion of -2.0 in k 0.272 * [taylor]: Taking taylor expansion of PI in k 0.273 * [taylor]: Taking taylor expansion of (log n) in k 0.273 * [taylor]: Taking taylor expansion of n in k 0.282 * [taylor]: Taking taylor expansion of 0 in k 0.288 * [taylor]: Taking taylor expansion of 0 in k 0.297 * [taylor]: Taking taylor expansion of 0 in k 0.298 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.298 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (* n PI) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (* n PI) in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.315 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.316 * [taylor]: Taking taylor expansion of 2.0 in n 0.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.316 * [taylor]: Taking taylor expansion of PI in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.316 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.316 * [taylor]: Taking taylor expansion of 2.0 in n 0.316 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.316 * [taylor]: Taking taylor expansion of PI in n 0.316 * [taylor]: Taking taylor expansion of n in n 0.325 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.325 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.325 * [taylor]: Taking taylor expansion of -2.0 in n 0.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.325 * [taylor]: Taking taylor expansion of PI in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.325 * [taylor]: Taking taylor expansion of -2.0 in n 0.325 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.325 * [taylor]: Taking taylor expansion of PI in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.333 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.334 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.334 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.334 * [taylor]: Taking taylor expansion of 1.0 in k 0.334 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.334 * [taylor]: Taking taylor expansion of k in k 0.335 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.335 * [taylor]: Taking taylor expansion of 1.0 in k 0.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.335 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.335 * [taylor]: Taking taylor expansion of k in k 0.346 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.346 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.346 * [taylor]: Taking taylor expansion of 1.0 in k 0.346 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.347 * [taylor]: Taking taylor expansion of k in k 0.347 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.348 * [taylor]: Taking taylor expansion of 1.0 in k 0.348 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.348 * [taylor]: Taking taylor expansion of k in k 0.357 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.357 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.358 * [taylor]: Taking taylor expansion of 1.0 in k 0.358 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.358 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.358 * [taylor]: Taking taylor expansion of -1 in k 0.358 * [taylor]: Taking taylor expansion of k in k 0.359 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.359 * [taylor]: Taking taylor expansion of 1.0 in k 0.359 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.359 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.359 * [taylor]: Taking taylor expansion of -1 in k 0.359 * [taylor]: Taking taylor expansion of k in k 0.370 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.371 * [taylor]: Taking taylor expansion of 1.0 in n 0.371 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.371 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.371 * [taylor]: Taking taylor expansion of k in n 0.371 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.371 * [taylor]: Taking taylor expansion of 0.5 in n 0.371 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.371 * [taylor]: Taking taylor expansion of 1.0 in n 0.371 * [taylor]: Taking taylor expansion of k in n 0.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.371 * [taylor]: Taking taylor expansion of 2.0 in n 0.371 * [taylor]: Taking taylor expansion of (* n PI) in n 0.372 * [taylor]: Taking taylor expansion of n in n 0.372 * [taylor]: Taking taylor expansion of PI in n 0.377 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.377 * [taylor]: Taking taylor expansion of 1.0 in k 0.377 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.377 * [taylor]: Taking taylor expansion of k in k 0.378 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.378 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.378 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.378 * [taylor]: Taking taylor expansion of 0.5 in k 0.378 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.378 * [taylor]: Taking taylor expansion of 1.0 in k 0.378 * [taylor]: Taking taylor expansion of k in k 0.378 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.378 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.378 * [taylor]: Taking taylor expansion of 2.0 in k 0.378 * [taylor]: Taking taylor expansion of (* n PI) in k 0.378 * [taylor]: Taking taylor expansion of n in k 0.378 * [taylor]: Taking taylor expansion of PI in k 0.379 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.379 * [taylor]: Taking taylor expansion of 1.0 in k 0.379 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.379 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.379 * [taylor]: Taking taylor expansion of k in k 0.381 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.381 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.381 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.381 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.381 * [taylor]: Taking taylor expansion of 0.5 in k 0.381 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.381 * [taylor]: Taking taylor expansion of 1.0 in k 0.381 * [taylor]: Taking taylor expansion of k in k 0.381 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.381 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.381 * [taylor]: Taking taylor expansion of 2.0 in k 0.381 * [taylor]: Taking taylor expansion of (* n PI) in k 0.381 * [taylor]: Taking taylor expansion of n in k 0.381 * [taylor]: Taking taylor expansion of PI in k 0.382 * [taylor]: Taking taylor expansion of 0 in n 0.393 * [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 0.394 * [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 0.394 * [taylor]: Taking taylor expansion of +nan.0 in n 0.394 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.394 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.394 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.394 * [taylor]: Taking taylor expansion of 0.5 in n 0.394 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.394 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.394 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.394 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.394 * [taylor]: Taking taylor expansion of 1.0 in n 0.394 * [taylor]: Taking taylor expansion of (log PI) in n 0.394 * [taylor]: Taking taylor expansion of PI in n 0.396 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.396 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.396 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.396 * [taylor]: Taking taylor expansion of 1.0 in n 0.396 * [taylor]: Taking taylor expansion of (log n) in n 0.396 * [taylor]: Taking taylor expansion of n in n 0.396 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.396 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.396 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.396 * [taylor]: Taking taylor expansion of 1.0 in n 0.396 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.396 * [taylor]: Taking taylor expansion of 2.0 in n 0.415 * [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 0.415 * [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 0.415 * [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 0.415 * [taylor]: Taking taylor expansion of +nan.0 in n 0.415 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.415 * [taylor]: Taking taylor expansion of 0.5 in n 0.415 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.415 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.415 * [taylor]: Taking taylor expansion of 1.0 in n 0.415 * [taylor]: Taking taylor expansion of (log PI) in n 0.415 * [taylor]: Taking taylor expansion of PI in n 0.417 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.417 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.417 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.417 * [taylor]: Taking taylor expansion of 1.0 in n 0.417 * [taylor]: Taking taylor expansion of (log n) in n 0.417 * [taylor]: Taking taylor expansion of n in n 0.418 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.418 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.418 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.418 * [taylor]: Taking taylor expansion of 1.0 in n 0.418 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.418 * [taylor]: Taking taylor expansion of 2.0 in n 0.423 * [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 0.423 * [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 0.423 * [taylor]: Taking taylor expansion of +nan.0 in n 0.423 * [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 0.423 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.423 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.423 * [taylor]: Taking taylor expansion of 0.5 in n 0.423 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.423 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.423 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.423 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.423 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.423 * [taylor]: Taking taylor expansion of 1.0 in n 0.423 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.423 * [taylor]: Taking taylor expansion of 2.0 in n 0.425 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.425 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.425 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.425 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.425 * [taylor]: Taking taylor expansion of 1.0 in n 0.425 * [taylor]: Taking taylor expansion of (log PI) in n 0.425 * [taylor]: Taking taylor expansion of PI in n 0.427 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.427 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.427 * [taylor]: Taking taylor expansion of 1.0 in n 0.427 * [taylor]: Taking taylor expansion of (log n) in n 0.427 * [taylor]: Taking taylor expansion of n in n 0.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.431 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.431 * [taylor]: Taking taylor expansion of 2.0 in n 0.431 * [taylor]: Taking taylor expansion of (* n PI) in n 0.431 * [taylor]: Taking taylor expansion of n in n 0.431 * [taylor]: Taking taylor expansion of PI in n 0.486 * [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 0.486 * [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 0.486 * [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 0.486 * [taylor]: Taking taylor expansion of +nan.0 in n 0.486 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.486 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.486 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.486 * [taylor]: Taking taylor expansion of 0.5 in n 0.486 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.486 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.486 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.486 * [taylor]: Taking taylor expansion of 1.0 in n 0.486 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.486 * [taylor]: Taking taylor expansion of 2.0 in n 0.488 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.488 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.488 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.488 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.488 * [taylor]: Taking taylor expansion of 1.0 in n 0.488 * [taylor]: Taking taylor expansion of (log n) in n 0.488 * [taylor]: Taking taylor expansion of n in n 0.489 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.489 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.489 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.489 * [taylor]: Taking taylor expansion of 1.0 in n 0.489 * [taylor]: Taking taylor expansion of (log PI) in n 0.489 * [taylor]: Taking taylor expansion of PI in n 0.494 * [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 0.494 * [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 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of +nan.0 in n 0.494 * [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 0.494 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.494 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.494 * [taylor]: Taking taylor expansion of 0.5 in n 0.494 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.494 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.494 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.494 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.494 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.494 * [taylor]: Taking taylor expansion of 2.0 in n 0.496 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.496 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.496 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.496 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.496 * [taylor]: Taking taylor expansion of 1.0 in n 0.496 * [taylor]: Taking taylor expansion of (log PI) in n 0.496 * [taylor]: Taking taylor expansion of PI in n 0.498 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.498 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.498 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.498 * [taylor]: Taking taylor expansion of 1.0 in n 0.498 * [taylor]: Taking taylor expansion of (log n) in n 0.498 * [taylor]: Taking taylor expansion of n in n 0.502 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.502 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.502 * [taylor]: Taking taylor expansion of 2.0 in n 0.502 * [taylor]: Taking taylor expansion of (* n PI) in n 0.502 * [taylor]: Taking taylor expansion of n in n 0.502 * [taylor]: Taking taylor expansion of PI in n 0.506 * [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 0.506 * [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 0.506 * [taylor]: Taking taylor expansion of +nan.0 in n 0.506 * [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 0.506 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.506 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.506 * [taylor]: Taking taylor expansion of 0.5 in n 0.506 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.506 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.506 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.506 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.506 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.506 * [taylor]: Taking taylor expansion of 1.0 in n 0.506 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.506 * [taylor]: Taking taylor expansion of 2.0 in n 0.508 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.508 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.508 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.508 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.508 * [taylor]: Taking taylor expansion of 1.0 in n 0.508 * [taylor]: Taking taylor expansion of (log PI) in n 0.508 * [taylor]: Taking taylor expansion of PI in n 0.510 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.510 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.510 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.510 * [taylor]: Taking taylor expansion of 1.0 in n 0.510 * [taylor]: Taking taylor expansion of (log n) in n 0.510 * [taylor]: Taking taylor expansion of n in n 0.514 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.514 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.514 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.514 * [taylor]: Taking taylor expansion of 2.0 in n 0.514 * [taylor]: Taking taylor expansion of (* n PI) in n 0.514 * [taylor]: Taking taylor expansion of n in n 0.514 * [taylor]: Taking taylor expansion of PI in n 0.591 * [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 0.591 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.591 * [taylor]: Taking taylor expansion of 1.0 in n 0.591 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.591 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.591 * [taylor]: Taking taylor expansion of k in n 0.591 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.591 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.591 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.591 * [taylor]: Taking taylor expansion of 0.5 in n 0.591 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.591 * [taylor]: Taking taylor expansion of 1.0 in n 0.591 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.592 * [taylor]: Taking taylor expansion of k in n 0.592 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.592 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.592 * [taylor]: Taking taylor expansion of 2.0 in n 0.592 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.592 * [taylor]: Taking taylor expansion of PI in n 0.592 * [taylor]: Taking taylor expansion of n in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.595 * [taylor]: Taking taylor expansion of 1.0 in k 0.595 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.595 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.595 * [taylor]: Taking taylor expansion of k in k 0.596 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.596 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.596 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.596 * [taylor]: Taking taylor expansion of 0.5 in k 0.597 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.597 * [taylor]: Taking taylor expansion of 1.0 in k 0.597 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.597 * [taylor]: Taking taylor expansion of k in k 0.597 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.597 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.597 * [taylor]: Taking taylor expansion of 2.0 in k 0.597 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.597 * [taylor]: Taking taylor expansion of PI in k 0.597 * [taylor]: Taking taylor expansion of n in k 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.598 * [taylor]: Taking taylor expansion of 1.0 in k 0.598 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.598 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.598 * [taylor]: Taking taylor expansion of k in k 0.599 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.599 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.599 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.599 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.599 * [taylor]: Taking taylor expansion of 0.5 in k 0.599 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.599 * [taylor]: Taking taylor expansion of 1.0 in k 0.599 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.599 * [taylor]: Taking taylor expansion of k in k 0.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.599 * [taylor]: Taking taylor expansion of 2.0 in k 0.599 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.599 * [taylor]: Taking taylor expansion of PI in k 0.599 * [taylor]: Taking taylor expansion of n in k 0.601 * [taylor]: Taking taylor expansion of 0 in n 0.602 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.602 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.602 * [taylor]: Taking taylor expansion of +nan.0 in n 0.602 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.602 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.602 * [taylor]: Taking taylor expansion of 0.5 in n 0.602 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.602 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.602 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.602 * [taylor]: Taking taylor expansion of 2.0 in n 0.602 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.602 * [taylor]: Taking taylor expansion of PI in n 0.602 * [taylor]: Taking taylor expansion of n in n 0.603 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.603 * [taylor]: Taking taylor expansion of 1.0 in n 0.603 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.603 * [taylor]: Taking taylor expansion of k in n 0.611 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.611 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.611 * [taylor]: Taking taylor expansion of +nan.0 in n 0.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.612 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of 2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.612 * [taylor]: Taking taylor expansion of PI in n 0.612 * [taylor]: Taking taylor expansion of n in n 0.613 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.613 * [taylor]: Taking taylor expansion of 1.0 in n 0.613 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.613 * [taylor]: Taking taylor expansion of k in n 0.629 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.629 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.629 * [taylor]: Taking taylor expansion of +nan.0 in n 0.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.629 * [taylor]: Taking taylor expansion of 0.5 in n 0.629 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.629 * [taylor]: Taking taylor expansion of 2.0 in n 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.629 * [taylor]: Taking taylor expansion of PI in n 0.629 * [taylor]: Taking taylor expansion of n in n 0.631 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.631 * [taylor]: Taking taylor expansion of 1.0 in n 0.631 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.631 * [taylor]: Taking taylor expansion of k in n 0.639 * [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 0.639 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.639 * [taylor]: Taking taylor expansion of 1.0 in n 0.639 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.639 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.639 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.639 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.640 * [taylor]: Taking taylor expansion of 0.5 in n 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.640 * [taylor]: Taking taylor expansion of k in n 0.640 * [taylor]: Taking taylor expansion of 1.0 in n 0.640 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.640 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.640 * [taylor]: Taking taylor expansion of -2.0 in n 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.640 * [taylor]: Taking taylor expansion of PI in n 0.640 * [taylor]: Taking taylor expansion of n in n 0.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.643 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.643 * [taylor]: Taking taylor expansion of -1 in n 0.643 * [taylor]: Taking taylor expansion of k in n 0.644 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.644 * [taylor]: Taking taylor expansion of 1.0 in k 0.644 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.644 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.644 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.644 * [taylor]: Taking taylor expansion of 0.5 in k 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.644 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.644 * [taylor]: Taking taylor expansion of k in k 0.645 * [taylor]: Taking taylor expansion of 1.0 in k 0.645 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.645 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.645 * [taylor]: Taking taylor expansion of -2.0 in k 0.645 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.645 * [taylor]: Taking taylor expansion of PI in k 0.645 * [taylor]: Taking taylor expansion of n in k 0.646 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.646 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.646 * [taylor]: Taking taylor expansion of -1 in k 0.646 * [taylor]: Taking taylor expansion of k in k 0.647 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.647 * [taylor]: Taking taylor expansion of 1.0 in k 0.647 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.647 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.647 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.647 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.647 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.647 * [taylor]: Taking taylor expansion of 0.5 in k 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.647 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.647 * [taylor]: Taking taylor expansion of k in k 0.648 * [taylor]: Taking taylor expansion of 1.0 in k 0.648 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.648 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.648 * [taylor]: Taking taylor expansion of -2.0 in k 0.648 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.648 * [taylor]: Taking taylor expansion of PI in k 0.648 * [taylor]: Taking taylor expansion of n in k 0.648 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.648 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.649 * [taylor]: Taking taylor expansion of -1 in k 0.649 * [taylor]: Taking taylor expansion of k in k 0.650 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.650 * [taylor]: Taking taylor expansion of +nan.0 in n 0.650 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.650 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.650 * [taylor]: Taking taylor expansion of 0.5 in n 0.650 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.650 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.650 * [taylor]: Taking taylor expansion of k in n 0.650 * [taylor]: Taking taylor expansion of 1.0 in n 0.650 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.650 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.650 * [taylor]: Taking taylor expansion of -2.0 in n 0.650 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.650 * [taylor]: Taking taylor expansion of PI in n 0.650 * [taylor]: Taking taylor expansion of n in n 0.664 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.664 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.664 * [taylor]: Taking taylor expansion of +nan.0 in n 0.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.664 * [taylor]: Taking taylor expansion of 0.5 in n 0.664 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.664 * [taylor]: Taking taylor expansion of k in n 0.664 * [taylor]: Taking taylor expansion of 1.0 in n 0.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.664 * [taylor]: Taking taylor expansion of -2.0 in n 0.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.664 * [taylor]: Taking taylor expansion of PI in n 0.664 * [taylor]: Taking taylor expansion of n in n 0.682 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.682 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.682 * [taylor]: Taking taylor expansion of +nan.0 in n 0.682 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.682 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.682 * [taylor]: Taking taylor expansion of 0.5 in n 0.683 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.683 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.683 * [taylor]: Taking taylor expansion of k in n 0.683 * [taylor]: Taking taylor expansion of 1.0 in n 0.683 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.683 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.683 * [taylor]: Taking taylor expansion of -2.0 in n 0.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.683 * [taylor]: Taking taylor expansion of PI in n 0.683 * [taylor]: Taking taylor expansion of n in n 0.692 * * * [progress]: simplifying candidates 0.694 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow 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2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) 0.788 * * * [progress]: adding candidates to table 1.178 * * [progress]: iteration 2 / 4 1.178 * * * [progress]: picking best candidate 1.204 * * * * [pick]: Picked # 1.204 * * * [progress]: localizing error 1.218 * * * [progress]: generating rewritten candidates 1.219 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.232 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.246 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.256 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 1.273 * * * [progress]: generating series expansions 1.273 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.279 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.279 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.279 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.279 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.279 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.279 * [taylor]: Taking taylor expansion of 0.25 in k 1.279 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.279 * [taylor]: Taking taylor expansion of 1.0 in k 1.279 * [taylor]: Taking taylor expansion of k in k 1.279 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.279 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.279 * [taylor]: Taking taylor expansion of 2.0 in k 1.279 * [taylor]: Taking taylor expansion of (* n PI) in k 1.279 * [taylor]: Taking taylor expansion of n in k 1.279 * [taylor]: Taking taylor expansion of PI in k 1.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.280 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.280 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.280 * [taylor]: Taking taylor expansion of 0.25 in n 1.280 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.280 * [taylor]: Taking taylor expansion of 1.0 in n 1.280 * [taylor]: Taking taylor expansion of k in n 1.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.280 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.280 * [taylor]: Taking taylor expansion of 2.0 in n 1.280 * [taylor]: Taking taylor expansion of (* n PI) in n 1.280 * [taylor]: Taking taylor expansion of n in n 1.280 * [taylor]: Taking taylor expansion of PI in n 1.286 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.286 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.286 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.286 * [taylor]: Taking taylor expansion of 0.25 in n 1.286 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.286 * [taylor]: Taking taylor expansion of 1.0 in n 1.286 * [taylor]: Taking taylor expansion of k in n 1.286 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.286 * [taylor]: Taking taylor expansion of 2.0 in n 1.286 * [taylor]: Taking taylor expansion of (* n PI) in n 1.286 * [taylor]: Taking taylor expansion of n in n 1.286 * [taylor]: Taking taylor expansion of PI in n 1.291 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.291 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.291 * [taylor]: Taking taylor expansion of 0.25 in k 1.291 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.291 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.291 * [taylor]: Taking taylor expansion of 1.0 in k 1.291 * [taylor]: Taking taylor expansion of k in k 1.291 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.291 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.291 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.291 * [taylor]: Taking taylor expansion of 2.0 in k 1.291 * [taylor]: Taking taylor expansion of PI in k 1.292 * [taylor]: Taking taylor expansion of (log n) in k 1.292 * [taylor]: Taking taylor expansion of n in k 1.301 * [taylor]: Taking taylor expansion of 0 in k 1.317 * [taylor]: Taking taylor expansion of 0 in k 1.335 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.335 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.335 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.335 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.335 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.335 * [taylor]: Taking taylor expansion of 0.25 in k 1.335 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.335 * [taylor]: Taking taylor expansion of 1.0 in k 1.335 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.335 * [taylor]: Taking taylor expansion of k in k 1.336 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.336 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.336 * [taylor]: Taking taylor expansion of 2.0 in k 1.336 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.336 * [taylor]: Taking taylor expansion of PI in k 1.336 * [taylor]: Taking taylor expansion of n in k 1.337 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.337 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.337 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.337 * [taylor]: Taking taylor expansion of 0.25 in n 1.337 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.337 * [taylor]: Taking taylor expansion of 1.0 in n 1.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.337 * [taylor]: Taking taylor expansion of k in n 1.337 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.337 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.337 * [taylor]: Taking taylor expansion of 2.0 in n 1.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.337 * [taylor]: Taking taylor expansion of PI in n 1.337 * [taylor]: Taking taylor expansion of n in n 1.341 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.341 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.341 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.341 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.341 * [taylor]: Taking taylor expansion of 0.25 in n 1.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.341 * [taylor]: Taking taylor expansion of 1.0 in n 1.341 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.341 * [taylor]: Taking taylor expansion of k in n 1.341 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.341 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.341 * [taylor]: Taking taylor expansion of 2.0 in n 1.341 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.341 * [taylor]: Taking taylor expansion of PI in n 1.341 * [taylor]: Taking taylor expansion of n in n 1.345 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.345 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.345 * [taylor]: Taking taylor expansion of 0.25 in k 1.345 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.345 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.345 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.345 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.345 * [taylor]: Taking taylor expansion of 2.0 in k 1.345 * [taylor]: Taking taylor expansion of PI in k 1.346 * [taylor]: Taking taylor expansion of (log n) in k 1.346 * [taylor]: Taking taylor expansion of n in k 1.346 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.346 * [taylor]: Taking taylor expansion of 1.0 in k 1.346 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.346 * [taylor]: Taking taylor expansion of k in k 1.356 * [taylor]: Taking taylor expansion of 0 in k 1.368 * [taylor]: Taking taylor expansion of 0 in k 1.377 * [taylor]: Taking taylor expansion of 0 in k 1.378 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.378 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.379 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.379 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.379 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.379 * [taylor]: Taking taylor expansion of 0.25 in k 1.379 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.379 * [taylor]: Taking taylor expansion of k in k 1.379 * [taylor]: Taking taylor expansion of 1.0 in k 1.379 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.379 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.379 * [taylor]: Taking taylor expansion of -2.0 in k 1.379 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.379 * [taylor]: Taking taylor expansion of PI in k 1.379 * [taylor]: Taking taylor expansion of n in k 1.380 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.380 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.380 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.380 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.380 * [taylor]: Taking taylor expansion of 0.25 in n 1.380 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.380 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.380 * [taylor]: Taking taylor expansion of k in n 1.380 * [taylor]: Taking taylor expansion of 1.0 in n 1.380 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.380 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.380 * [taylor]: Taking taylor expansion of -2.0 in n 1.380 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.380 * [taylor]: Taking taylor expansion of PI in n 1.380 * [taylor]: Taking taylor expansion of n in n 1.384 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.384 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.384 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.384 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.384 * [taylor]: Taking taylor expansion of 0.25 in n 1.384 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.384 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.384 * [taylor]: Taking taylor expansion of k in n 1.384 * [taylor]: Taking taylor expansion of 1.0 in n 1.384 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.384 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.384 * [taylor]: Taking taylor expansion of -2.0 in n 1.384 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.384 * [taylor]: Taking taylor expansion of PI in n 1.384 * [taylor]: Taking taylor expansion of n in n 1.388 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.388 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.388 * [taylor]: Taking taylor expansion of 0.25 in k 1.388 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.388 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.388 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.388 * [taylor]: Taking taylor expansion of k in k 1.388 * [taylor]: Taking taylor expansion of 1.0 in k 1.388 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.388 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.388 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.388 * [taylor]: Taking taylor expansion of -2.0 in k 1.388 * [taylor]: Taking taylor expansion of PI in k 1.389 * [taylor]: Taking taylor expansion of (log n) in k 1.389 * [taylor]: Taking taylor expansion of n in k 1.398 * [taylor]: Taking taylor expansion of 0 in k 1.405 * [taylor]: Taking taylor expansion of 0 in k 1.413 * [taylor]: Taking taylor expansion of 0 in k 1.414 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.415 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.415 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.415 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.415 * [taylor]: Taking taylor expansion of 0.25 in k 1.415 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.415 * [taylor]: Taking taylor expansion of 1.0 in k 1.415 * [taylor]: Taking taylor expansion of k in k 1.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.415 * [taylor]: Taking taylor expansion of 2.0 in k 1.415 * [taylor]: Taking taylor expansion of (* n PI) in k 1.415 * [taylor]: Taking taylor expansion of n in k 1.415 * [taylor]: Taking taylor expansion of PI in k 1.416 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.416 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.416 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.416 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.416 * [taylor]: Taking taylor expansion of 0.25 in n 1.416 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.416 * [taylor]: Taking taylor expansion of 1.0 in n 1.416 * [taylor]: Taking taylor expansion of k in n 1.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.416 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.416 * [taylor]: Taking taylor expansion of 2.0 in n 1.416 * [taylor]: Taking taylor expansion of (* n PI) in n 1.416 * [taylor]: Taking taylor expansion of n in n 1.416 * [taylor]: Taking taylor expansion of PI in n 1.421 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.421 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.421 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.421 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.421 * [taylor]: Taking taylor expansion of 0.25 in n 1.421 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.422 * [taylor]: Taking taylor expansion of 1.0 in n 1.422 * [taylor]: Taking taylor expansion of k in n 1.422 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.422 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.422 * [taylor]: Taking taylor expansion of 2.0 in n 1.422 * [taylor]: Taking taylor expansion of (* n PI) in n 1.422 * [taylor]: Taking taylor expansion of n in n 1.422 * [taylor]: Taking taylor expansion of PI in n 1.428 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.428 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.428 * [taylor]: Taking taylor expansion of 0.25 in k 1.428 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.428 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.428 * [taylor]: Taking taylor expansion of 1.0 in k 1.428 * [taylor]: Taking taylor expansion of k in k 1.428 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.428 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.428 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.428 * [taylor]: Taking taylor expansion of 2.0 in k 1.428 * [taylor]: Taking taylor expansion of PI in k 1.429 * [taylor]: Taking taylor expansion of (log n) in k 1.429 * [taylor]: Taking taylor expansion of n in k 1.438 * [taylor]: Taking taylor expansion of 0 in k 1.460 * [taylor]: Taking taylor expansion of 0 in k 1.479 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.479 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.479 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.479 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.479 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.479 * [taylor]: Taking taylor expansion of 0.25 in k 1.479 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.479 * [taylor]: Taking taylor expansion of 1.0 in k 1.479 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.479 * [taylor]: Taking taylor expansion of k in k 1.479 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.479 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.479 * [taylor]: Taking taylor expansion of 2.0 in k 1.479 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.479 * [taylor]: Taking taylor expansion of PI in k 1.479 * [taylor]: Taking taylor expansion of n in k 1.480 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.480 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.480 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.480 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.480 * [taylor]: Taking taylor expansion of 0.25 in n 1.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.480 * [taylor]: Taking taylor expansion of 1.0 in n 1.480 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.480 * [taylor]: Taking taylor expansion of k in n 1.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.480 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.480 * [taylor]: Taking taylor expansion of 2.0 in n 1.480 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.480 * [taylor]: Taking taylor expansion of PI in n 1.480 * [taylor]: Taking taylor expansion of n in n 1.484 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.484 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.484 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.484 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.484 * [taylor]: Taking taylor expansion of 0.25 in n 1.484 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.484 * [taylor]: Taking taylor expansion of 1.0 in n 1.484 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.484 * [taylor]: Taking taylor expansion of k in n 1.484 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.484 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.484 * [taylor]: Taking taylor expansion of 2.0 in n 1.484 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.484 * [taylor]: Taking taylor expansion of PI in n 1.484 * [taylor]: Taking taylor expansion of n in n 1.488 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.488 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.488 * [taylor]: Taking taylor expansion of 0.25 in k 1.488 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.488 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.488 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.488 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.488 * [taylor]: Taking taylor expansion of 2.0 in k 1.488 * [taylor]: Taking taylor expansion of PI in k 1.489 * [taylor]: Taking taylor expansion of (log n) in k 1.489 * [taylor]: Taking taylor expansion of n in k 1.489 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.489 * [taylor]: Taking taylor expansion of 1.0 in k 1.489 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.489 * [taylor]: Taking taylor expansion of k in k 1.499 * [taylor]: Taking taylor expansion of 0 in k 1.506 * [taylor]: Taking taylor expansion of 0 in k 1.514 * [taylor]: Taking taylor expansion of 0 in k 1.516 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.516 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.516 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.516 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.516 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.516 * [taylor]: Taking taylor expansion of 0.25 in k 1.516 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.516 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.516 * [taylor]: Taking taylor expansion of k in k 1.516 * [taylor]: Taking taylor expansion of 1.0 in k 1.516 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.516 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.516 * [taylor]: Taking taylor expansion of -2.0 in k 1.516 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.516 * [taylor]: Taking taylor expansion of PI in k 1.516 * [taylor]: Taking taylor expansion of n in k 1.517 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.517 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.517 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.517 * [taylor]: Taking taylor expansion of 0.25 in n 1.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.517 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.517 * [taylor]: Taking taylor expansion of k in n 1.517 * [taylor]: Taking taylor expansion of 1.0 in n 1.517 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.517 * [taylor]: Taking taylor expansion of -2.0 in n 1.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.517 * [taylor]: Taking taylor expansion of PI in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.521 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.521 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.521 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.521 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.521 * [taylor]: Taking taylor expansion of 0.25 in n 1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.522 * [taylor]: Taking taylor expansion of k in n 1.522 * [taylor]: Taking taylor expansion of 1.0 in n 1.522 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.522 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.522 * [taylor]: Taking taylor expansion of -2.0 in n 1.522 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.522 * [taylor]: Taking taylor expansion of PI in n 1.522 * [taylor]: Taking taylor expansion of n in n 1.525 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.525 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.525 * [taylor]: Taking taylor expansion of 0.25 in k 1.525 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.525 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.525 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.526 * [taylor]: Taking taylor expansion of k in k 1.526 * [taylor]: Taking taylor expansion of 1.0 in k 1.526 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.526 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.526 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.526 * [taylor]: Taking taylor expansion of -2.0 in k 1.526 * [taylor]: Taking taylor expansion of PI in k 1.527 * [taylor]: Taking taylor expansion of (log n) in k 1.527 * [taylor]: Taking taylor expansion of n in k 1.541 * [taylor]: Taking taylor expansion of 0 in k 1.548 * [taylor]: Taking taylor expansion of 0 in k 1.557 * [taylor]: Taking taylor expansion of 0 in k 1.558 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.559 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in (n k) around 0 1.559 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in k 1.559 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.559 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.559 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.559 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.559 * [taylor]: Taking taylor expansion of 0.25 in k 1.559 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.559 * [taylor]: Taking taylor expansion of 1.0 in k 1.559 * [taylor]: Taking taylor expansion of k in k 1.559 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.559 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.559 * [taylor]: Taking taylor expansion of 2.0 in k 1.559 * [taylor]: Taking taylor expansion of (* n PI) in k 1.559 * [taylor]: Taking taylor expansion of n in k 1.559 * [taylor]: Taking taylor expansion of PI in k 1.560 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.560 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.560 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.560 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.560 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.560 * [taylor]: Taking taylor expansion of 0.25 in n 1.560 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.560 * [taylor]: Taking taylor expansion of 1.0 in n 1.560 * [taylor]: Taking taylor expansion of k in n 1.560 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.560 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.560 * [taylor]: Taking taylor expansion of 2.0 in n 1.560 * [taylor]: Taking taylor expansion of (* n PI) in n 1.560 * [taylor]: Taking taylor expansion of n in n 1.560 * [taylor]: Taking taylor expansion of PI in n 1.565 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 2) in n 1.565 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.566 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.566 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.566 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.566 * [taylor]: Taking taylor expansion of 0.25 in n 1.566 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.566 * [taylor]: Taking taylor expansion of 1.0 in n 1.566 * [taylor]: Taking taylor expansion of k in n 1.566 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.566 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.566 * [taylor]: Taking taylor expansion of 2.0 in n 1.566 * [taylor]: Taking taylor expansion of (* n PI) in n 1.566 * [taylor]: Taking taylor expansion of n in n 1.566 * [taylor]: Taking taylor expansion of PI in n 1.572 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2) in k 1.572 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.572 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.573 * [taylor]: Taking taylor expansion of 0.25 in k 1.573 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.573 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.573 * [taylor]: Taking taylor expansion of 1.0 in k 1.573 * [taylor]: Taking taylor expansion of k in k 1.573 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.573 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.573 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.573 * [taylor]: Taking taylor expansion of 2.0 in k 1.573 * [taylor]: Taking taylor expansion of PI in k 1.574 * [taylor]: Taking taylor expansion of (log n) in k 1.574 * [taylor]: Taking taylor expansion of n in k 1.585 * [taylor]: Taking taylor expansion of 0 in k 1.609 * [taylor]: Taking taylor expansion of 0 in k 1.649 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in (n k) around 0 1.649 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in k 1.649 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.649 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.649 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.649 * [taylor]: Taking taylor expansion of 0.25 in k 1.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.649 * [taylor]: Taking taylor expansion of 1.0 in k 1.649 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.649 * [taylor]: Taking taylor expansion of k in k 1.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.649 * [taylor]: Taking taylor expansion of 2.0 in k 1.649 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.649 * [taylor]: Taking taylor expansion of PI in k 1.649 * [taylor]: Taking taylor expansion of n in k 1.650 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 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 1.654 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 2) in n 1.654 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.654 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.654 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.654 * [taylor]: Taking taylor expansion of 0.25 in n 1.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.654 * [taylor]: Taking taylor expansion of 1.0 in n 1.654 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.654 * [taylor]: Taking taylor expansion of k in n 1.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.654 * [taylor]: Taking taylor expansion of 2.0 in n 1.654 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.654 * [taylor]: Taking taylor expansion of PI in n 1.654 * [taylor]: Taking taylor expansion of n in n 1.659 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 2) in k 1.659 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.659 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.659 * [taylor]: Taking taylor expansion of 0.25 in k 1.660 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.660 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.660 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.660 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.660 * [taylor]: Taking taylor expansion of 2.0 in k 1.660 * [taylor]: Taking taylor expansion of PI in k 1.661 * [taylor]: Taking taylor expansion of (log n) in k 1.661 * [taylor]: Taking taylor expansion of n in k 1.661 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.661 * [taylor]: Taking taylor expansion of 1.0 in k 1.661 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.661 * [taylor]: Taking taylor expansion of k in k 1.673 * [taylor]: Taking taylor expansion of 0 in k 1.683 * [taylor]: Taking taylor expansion of 0 in k 1.696 * [taylor]: Taking taylor expansion of 0 in k 1.698 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in (n k) around 0 1.698 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in k 1.698 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.698 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.698 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.698 * [taylor]: Taking taylor expansion of 0.25 in k 1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.698 * [taylor]: Taking taylor expansion of k in k 1.698 * [taylor]: Taking taylor expansion of 1.0 in k 1.698 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.698 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.698 * [taylor]: Taking taylor expansion of -2.0 in k 1.698 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.698 * [taylor]: Taking taylor expansion of PI in k 1.698 * [taylor]: Taking taylor expansion of n in k 1.699 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.699 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.699 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.699 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.699 * [taylor]: Taking taylor expansion of 0.25 in n 1.699 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.699 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.699 * [taylor]: Taking taylor expansion of k in n 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.699 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.699 * [taylor]: Taking taylor expansion of -2.0 in n 1.699 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.699 * [taylor]: Taking taylor expansion of PI in n 1.699 * [taylor]: Taking taylor expansion of n in n 1.703 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 2) in n 1.703 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.703 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.703 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.703 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.703 * [taylor]: Taking taylor expansion of 0.25 in n 1.703 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.703 * [taylor]: Taking taylor expansion of k in n 1.703 * [taylor]: Taking taylor expansion of 1.0 in n 1.703 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.703 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.703 * [taylor]: Taking taylor expansion of -2.0 in n 1.703 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.703 * [taylor]: Taking taylor expansion of PI in n 1.703 * [taylor]: Taking taylor expansion of n in n 1.714 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 2) in k 1.714 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.714 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.714 * [taylor]: Taking taylor expansion of 0.25 in k 1.714 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.714 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.714 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.714 * [taylor]: Taking taylor expansion of k in k 1.715 * [taylor]: Taking taylor expansion of 1.0 in k 1.715 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.715 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.715 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.715 * [taylor]: Taking taylor expansion of -2.0 in k 1.715 * [taylor]: Taking taylor expansion of PI in k 1.716 * [taylor]: Taking taylor expansion of (log n) in k 1.716 * [taylor]: Taking taylor expansion of n in k 1.728 * [taylor]: Taking taylor expansion of 0 in k 1.738 * [taylor]: Taking taylor expansion of 0 in k 1.750 * [taylor]: Taking taylor expansion of 0 in k 1.751 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 1.751 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.751 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.751 * [taylor]: Taking taylor expansion of 2.0 in n 1.751 * [taylor]: Taking taylor expansion of (* n PI) in n 1.751 * [taylor]: Taking taylor expansion of n in n 1.751 * [taylor]: Taking taylor expansion of PI in n 1.751 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.751 * [taylor]: Taking taylor expansion of 2.0 in n 1.751 * [taylor]: Taking taylor expansion of (* n PI) in n 1.751 * [taylor]: Taking taylor expansion of n in n 1.752 * [taylor]: Taking taylor expansion of PI in n 1.764 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.764 * [taylor]: Taking taylor expansion of 2.0 in n 1.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.764 * [taylor]: Taking taylor expansion of PI in n 1.764 * [taylor]: Taking taylor expansion of n in n 1.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.764 * [taylor]: Taking taylor expansion of 2.0 in n 1.764 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.764 * [taylor]: Taking taylor expansion of PI in n 1.764 * [taylor]: Taking taylor expansion of n in n 1.773 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.773 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.773 * [taylor]: Taking taylor expansion of -2.0 in n 1.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.773 * [taylor]: Taking taylor expansion of PI in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.773 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.773 * [taylor]: Taking taylor expansion of -2.0 in n 1.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.773 * [taylor]: Taking taylor expansion of PI in n 1.773 * [taylor]: Taking taylor expansion of n in n 1.782 * * * [progress]: simplifying candidates 1.785 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 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)) (* (+ (+ (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))) 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(* (* 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)) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) 2) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (* (/ (- 1.0 k) 2.0) (log (* (* 2.0 PI) n))) (pow (exp 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (* (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (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))))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (fabs (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (* 2 (/ (/ k 2.0) 2))) (pow (* 2.0 PI) (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow n (* 2 (/ (/ (- 1.0 k) 2.0) 2))) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 4) (* (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)) 1 (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)) (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))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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))) (* (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 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)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (/ (- 1.0 k) 2.0) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (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 (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow n (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 4) (pow (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (+ (pow (* (* 2.0 PI) n) 0.25) (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125)) (* (* (* (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.0625)) (- (* (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) 0.03125) (* (* 0.25 k) (+ (* (pow (exp 0.25) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.25) (log (* (* 2.0 PI) n)))))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n))))) (- (* (* 0.125 (pow k 2)) (+ (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (pow (log n) 2)))) (* (* 0.5 k) (+ (* (log (* 2.0 PI)) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 2) (log n)))))) (pow (pow (* (* 2.0 PI) n) 0.25) 2)) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 2) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.887 * * * [progress]: adding candidates to table 2.608 * * [progress]: iteration 3 / 4 2.608 * * * [progress]: picking best candidate 2.626 * * * * [pick]: Picked # 2.626 * * * [progress]: localizing error 2.641 * * * [progress]: generating rewritten candidates 2.641 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.651 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.656 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.660 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.668 * * * [progress]: generating series expansions 2.668 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.669 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.669 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.669 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.669 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.669 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.669 * [taylor]: Taking taylor expansion of 0.5 in k 2.669 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.669 * [taylor]: Taking taylor expansion of 1.0 in k 2.669 * [taylor]: Taking taylor expansion of k in k 2.669 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.669 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.669 * [taylor]: Taking taylor expansion of 2.0 in k 2.669 * [taylor]: Taking taylor expansion of (* n PI) in k 2.669 * [taylor]: Taking taylor expansion of n in k 2.669 * [taylor]: Taking taylor expansion of PI in k 2.670 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.670 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.670 * [taylor]: Taking taylor expansion of 0.5 in n 2.670 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.670 * [taylor]: Taking taylor expansion of 1.0 in n 2.671 * [taylor]: Taking taylor expansion of k in n 2.671 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.671 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.671 * [taylor]: Taking taylor expansion of 2.0 in n 2.671 * [taylor]: Taking taylor expansion of (* n PI) in n 2.671 * [taylor]: Taking taylor expansion of n in n 2.671 * [taylor]: Taking taylor expansion of PI in n 2.681 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.681 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.681 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.681 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.681 * [taylor]: Taking taylor expansion of 0.5 in n 2.681 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.681 * [taylor]: Taking taylor expansion of 1.0 in n 2.681 * [taylor]: Taking taylor expansion of k in n 2.681 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.681 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.681 * [taylor]: Taking taylor expansion of 2.0 in n 2.681 * [taylor]: Taking taylor expansion of (* n PI) in n 2.681 * [taylor]: Taking taylor expansion of n in n 2.681 * [taylor]: Taking taylor expansion of PI in n 2.686 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.686 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.687 * [taylor]: Taking taylor expansion of 0.5 in k 2.687 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.687 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.687 * [taylor]: Taking taylor expansion of 1.0 in k 2.687 * [taylor]: Taking taylor expansion of k in k 2.687 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.687 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.687 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.687 * [taylor]: Taking taylor expansion of 2.0 in k 2.687 * [taylor]: Taking taylor expansion of PI in k 2.688 * [taylor]: Taking taylor expansion of (log n) in k 2.688 * [taylor]: Taking taylor expansion of n in k 2.697 * [taylor]: Taking taylor expansion of 0 in k 2.713 * [taylor]: Taking taylor expansion of 0 in k 2.732 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.732 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.732 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.732 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.732 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.732 * [taylor]: Taking taylor expansion of 0.5 in k 2.732 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.732 * [taylor]: Taking taylor expansion of 1.0 in k 2.732 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.732 * [taylor]: Taking taylor expansion of k in k 2.732 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.732 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.732 * [taylor]: Taking taylor expansion of 2.0 in k 2.733 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.733 * [taylor]: Taking taylor expansion of PI in k 2.733 * [taylor]: Taking taylor expansion of n in k 2.734 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.734 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.734 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.734 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.734 * [taylor]: Taking taylor expansion of 0.5 in n 2.734 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.734 * [taylor]: Taking taylor expansion of 1.0 in n 2.734 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.734 * [taylor]: Taking taylor expansion of k in n 2.734 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.734 * [taylor]: Taking taylor expansion of 2.0 in n 2.734 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.734 * [taylor]: Taking taylor expansion of PI in n 2.734 * [taylor]: Taking taylor expansion of n in n 2.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.737 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.737 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.738 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.738 * [taylor]: Taking taylor expansion of 0.5 in n 2.738 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.738 * [taylor]: Taking taylor expansion of 1.0 in n 2.738 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.738 * [taylor]: Taking taylor expansion of k in n 2.738 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.738 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.738 * [taylor]: Taking taylor expansion of 2.0 in n 2.738 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.738 * [taylor]: Taking taylor expansion of PI in n 2.738 * [taylor]: Taking taylor expansion of n in n 2.742 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.742 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.742 * [taylor]: Taking taylor expansion of 0.5 in k 2.742 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.742 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.742 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.742 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.742 * [taylor]: Taking taylor expansion of 2.0 in k 2.742 * [taylor]: Taking taylor expansion of PI in k 2.743 * [taylor]: Taking taylor expansion of (log n) in k 2.743 * [taylor]: Taking taylor expansion of n in k 2.743 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.743 * [taylor]: Taking taylor expansion of 1.0 in k 2.743 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.743 * [taylor]: Taking taylor expansion of k in k 2.752 * [taylor]: Taking taylor expansion of 0 in k 2.759 * [taylor]: Taking taylor expansion of 0 in k 2.774 * [taylor]: Taking taylor expansion of 0 in k 2.776 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.776 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.776 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.776 * [taylor]: Taking taylor expansion of 0.5 in k 2.776 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.776 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.776 * [taylor]: Taking taylor expansion of k in k 2.776 * [taylor]: Taking taylor expansion of 1.0 in k 2.776 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.776 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.776 * [taylor]: Taking taylor expansion of -2.0 in k 2.776 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.776 * [taylor]: Taking taylor expansion of PI in k 2.776 * [taylor]: Taking taylor expansion of n in k 2.777 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.777 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.777 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.777 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.777 * [taylor]: Taking taylor expansion of 0.5 in n 2.777 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.777 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.777 * [taylor]: Taking taylor expansion of k in n 2.777 * [taylor]: Taking taylor expansion of 1.0 in n 2.777 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.777 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.777 * [taylor]: Taking taylor expansion of -2.0 in n 2.777 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.777 * [taylor]: Taking taylor expansion of PI in n 2.777 * [taylor]: Taking taylor expansion of n in n 2.781 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.781 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.781 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.781 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.781 * [taylor]: Taking taylor expansion of 0.5 in n 2.781 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.781 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.781 * [taylor]: Taking taylor expansion of k in n 2.781 * [taylor]: Taking taylor expansion of 1.0 in n 2.781 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.781 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.781 * [taylor]: Taking taylor expansion of -2.0 in n 2.781 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.781 * [taylor]: Taking taylor expansion of PI in n 2.781 * [taylor]: Taking taylor expansion of n in n 2.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.785 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.785 * [taylor]: Taking taylor expansion of 0.5 in k 2.785 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.785 * [taylor]: Taking taylor expansion of k in k 2.785 * [taylor]: Taking taylor expansion of 1.0 in k 2.785 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.785 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.785 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.785 * [taylor]: Taking taylor expansion of -2.0 in k 2.785 * [taylor]: Taking taylor expansion of PI in k 2.786 * [taylor]: Taking taylor expansion of (log n) in k 2.786 * [taylor]: Taking taylor expansion of n in k 2.795 * [taylor]: Taking taylor expansion of 0 in k 2.802 * [taylor]: Taking taylor expansion of 0 in k 2.811 * [taylor]: Taking taylor expansion of 0 in k 2.812 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.812 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.812 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.812 * [taylor]: Taking taylor expansion of 2.0 in n 2.812 * [taylor]: Taking taylor expansion of (* n PI) in n 2.812 * [taylor]: Taking taylor expansion of n in n 2.812 * [taylor]: Taking taylor expansion of PI in n 2.812 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.812 * [taylor]: Taking taylor expansion of 2.0 in n 2.812 * [taylor]: Taking taylor expansion of (* n PI) in n 2.812 * [taylor]: Taking taylor expansion of n in n 2.812 * [taylor]: Taking taylor expansion of PI in n 2.825 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.825 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.825 * [taylor]: Taking taylor expansion of 2.0 in n 2.825 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.825 * [taylor]: Taking taylor expansion of PI in n 2.825 * [taylor]: Taking taylor expansion of n in n 2.825 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.825 * [taylor]: Taking taylor expansion of 2.0 in n 2.825 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.825 * [taylor]: Taking taylor expansion of PI in n 2.826 * [taylor]: Taking taylor expansion of n in n 2.834 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.834 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.834 * [taylor]: Taking taylor expansion of -2.0 in n 2.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.834 * [taylor]: Taking taylor expansion of PI in n 2.834 * [taylor]: Taking taylor expansion of n in n 2.835 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.835 * [taylor]: Taking taylor expansion of -2.0 in n 2.835 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.835 * [taylor]: Taking taylor expansion of PI in n 2.835 * [taylor]: Taking taylor expansion of n in n 2.843 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.843 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.844 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.844 * [taylor]: Taking taylor expansion of 1.0 in k 2.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.844 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.844 * [taylor]: Taking taylor expansion of k in k 2.845 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.845 * [taylor]: Taking taylor expansion of 1.0 in k 2.845 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.845 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.845 * [taylor]: Taking taylor expansion of k in k 2.862 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.862 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.862 * [taylor]: Taking taylor expansion of 1.0 in k 2.862 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.862 * [taylor]: Taking taylor expansion of k in k 2.863 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.863 * [taylor]: Taking taylor expansion of 1.0 in k 2.863 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.863 * [taylor]: Taking taylor expansion of k in k 2.873 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.873 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.873 * [taylor]: Taking taylor expansion of 1.0 in k 2.874 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.874 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.874 * [taylor]: Taking taylor expansion of -1 in k 2.874 * [taylor]: Taking taylor expansion of k in k 2.875 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.875 * [taylor]: Taking taylor expansion of 1.0 in k 2.875 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.875 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.875 * [taylor]: Taking taylor expansion of -1 in k 2.875 * [taylor]: Taking taylor expansion of k in k 2.887 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.887 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.887 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.887 * [taylor]: Taking taylor expansion of 1.0 in k 2.887 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.887 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.887 * [taylor]: Taking taylor expansion of k in k 2.888 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.888 * [taylor]: Taking taylor expansion of 1.0 in k 2.888 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.888 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.888 * [taylor]: Taking taylor expansion of k in k 2.900 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.900 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.900 * [taylor]: Taking taylor expansion of 1.0 in k 2.900 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.900 * [taylor]: Taking taylor expansion of k in k 2.901 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.901 * [taylor]: Taking taylor expansion of 1.0 in k 2.901 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.901 * [taylor]: Taking taylor expansion of k in k 2.911 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.911 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.911 * [taylor]: Taking taylor expansion of 1.0 in k 2.911 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.911 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.911 * [taylor]: Taking taylor expansion of -1 in k 2.911 * [taylor]: Taking taylor expansion of k in k 2.913 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.913 * [taylor]: Taking taylor expansion of 1.0 in k 2.913 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.913 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.913 * [taylor]: Taking taylor expansion of -1 in k 2.913 * [taylor]: Taking taylor expansion of k in k 2.924 * * * [progress]: simplifying candidates 2.926 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 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) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 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))))) (- (+ (* +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))))) 2.940 * * [simplify]: iteration 0 : 563 enodes (cost 883 ) 2.950 * * [simplify]: iteration 1 : 2197 enodes (cost 815 ) 2.989 * * [simplify]: iteration 2 : 5001 enodes (cost 791 ) 2.993 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 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))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (pow k 1/2)) (/ (* (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))) (/ (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))) (/ 1.0 (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) (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) (- (pow k 1/2)) (/ (* (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))) (/ (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))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) 2.994 * * * [progress]: adding candidates to table 3.404 * * [progress]: iteration 4 / 4 3.405 * * * [progress]: picking best candidate 3.422 * * * * [pick]: Picked # 3.422 * * * [progress]: localizing error 3.446 * * * [progress]: generating rewritten candidates 3.446 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.455 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 1) 3.457 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 1) 3.458 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 3.486 * * * [progress]: generating series expansions 3.486 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.487 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 3.487 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 3.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.487 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 3.487 * [taylor]: Taking taylor expansion of 0.5 in k 3.487 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.487 * [taylor]: Taking taylor expansion of 1.0 in k 3.487 * [taylor]: Taking taylor expansion of k in k 3.487 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.487 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.487 * [taylor]: Taking taylor expansion of 2.0 in k 3.487 * [taylor]: Taking taylor expansion of (* n PI) in k 3.487 * [taylor]: Taking taylor expansion of n in k 3.487 * [taylor]: Taking taylor expansion of PI in k 3.488 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.488 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.488 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.488 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.488 * [taylor]: Taking taylor expansion of 0.5 in n 3.488 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.488 * [taylor]: Taking taylor expansion of 1.0 in n 3.488 * [taylor]: Taking taylor expansion of k in n 3.488 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.488 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.488 * [taylor]: Taking taylor expansion of 2.0 in n 3.488 * [taylor]: Taking taylor expansion of (* n PI) in n 3.488 * [taylor]: Taking taylor expansion of n in n 3.488 * [taylor]: Taking taylor expansion of PI in n 3.494 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 3.494 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.494 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.494 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 3.494 * [taylor]: Taking taylor expansion of 0.5 in n 3.494 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.494 * [taylor]: Taking taylor expansion of 1.0 in n 3.494 * [taylor]: Taking taylor expansion of k in n 3.494 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.494 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.494 * [taylor]: Taking taylor expansion of 2.0 in n 3.494 * [taylor]: Taking taylor expansion of (* n PI) in n 3.494 * [taylor]: Taking taylor expansion of n in n 3.494 * [taylor]: Taking taylor expansion of PI in n 3.500 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.500 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.500 * [taylor]: Taking taylor expansion of 0.5 in k 3.500 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.500 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.500 * [taylor]: Taking taylor expansion of 1.0 in k 3.500 * [taylor]: Taking taylor expansion of k in k 3.500 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.500 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.500 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.500 * [taylor]: Taking taylor expansion of 2.0 in k 3.500 * [taylor]: Taking taylor expansion of PI in k 3.501 * [taylor]: Taking taylor expansion of (log n) in k 3.501 * [taylor]: Taking taylor expansion of n in k 3.510 * [taylor]: Taking taylor expansion of 0 in k 3.526 * [taylor]: Taking taylor expansion of 0 in k 3.552 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 3.552 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 3.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.552 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 3.552 * [taylor]: Taking taylor expansion of 0.5 in k 3.552 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.552 * [taylor]: Taking taylor expansion of 1.0 in k 3.552 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.552 * [taylor]: Taking taylor expansion of k in k 3.553 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.553 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.553 * [taylor]: Taking taylor expansion of 2.0 in k 3.553 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.553 * [taylor]: Taking taylor expansion of PI in k 3.553 * [taylor]: Taking taylor expansion of n in k 3.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.554 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.554 * [taylor]: Taking taylor expansion of 0.5 in n 3.554 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.554 * [taylor]: Taking taylor expansion of 1.0 in n 3.554 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.554 * [taylor]: Taking taylor expansion of k in n 3.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.554 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.554 * [taylor]: Taking taylor expansion of 2.0 in n 3.554 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.554 * [taylor]: Taking taylor expansion of PI in n 3.554 * [taylor]: Taking taylor expansion of n in n 3.558 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 3.558 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.558 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.558 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 3.558 * [taylor]: Taking taylor expansion of 0.5 in n 3.558 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.558 * [taylor]: Taking taylor expansion of 1.0 in n 3.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.558 * [taylor]: Taking taylor expansion of k in n 3.558 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.558 * [taylor]: Taking taylor expansion of 2.0 in n 3.558 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.558 * [taylor]: Taking taylor expansion of PI in n 3.558 * [taylor]: Taking taylor expansion of n in n 3.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.562 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.562 * [taylor]: Taking taylor expansion of 0.5 in k 3.562 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.562 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.562 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.562 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.562 * [taylor]: Taking taylor expansion of 2.0 in k 3.562 * [taylor]: Taking taylor expansion of PI in k 3.563 * [taylor]: Taking taylor expansion of (log n) in k 3.563 * [taylor]: Taking taylor expansion of n in k 3.563 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.563 * [taylor]: Taking taylor expansion of 1.0 in k 3.563 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.563 * [taylor]: Taking taylor expansion of k in k 3.572 * [taylor]: Taking taylor expansion of 0 in k 3.580 * [taylor]: Taking taylor expansion of 0 in k 3.589 * [taylor]: Taking taylor expansion of 0 in k 3.590 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 3.590 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 3.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.590 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.590 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 3.590 * [taylor]: Taking taylor expansion of 0.5 in k 3.590 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.590 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.590 * [taylor]: Taking taylor expansion of k in k 3.590 * [taylor]: Taking taylor expansion of 1.0 in k 3.590 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.590 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.590 * [taylor]: Taking taylor expansion of -2.0 in k 3.590 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.590 * [taylor]: Taking taylor expansion of PI in k 3.591 * [taylor]: Taking taylor expansion of n in k 3.591 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.591 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.591 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.592 * [taylor]: Taking taylor expansion of 0.5 in n 3.592 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.592 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.592 * [taylor]: Taking taylor expansion of k in n 3.592 * [taylor]: Taking taylor expansion of 1.0 in n 3.592 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.592 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.592 * [taylor]: Taking taylor expansion of -2.0 in n 3.592 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.592 * [taylor]: Taking taylor expansion of PI in n 3.592 * [taylor]: Taking taylor expansion of n in n 3.595 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 3.595 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.595 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.595 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 3.595 * [taylor]: Taking taylor expansion of 0.5 in n 3.595 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.595 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.595 * [taylor]: Taking taylor expansion of k in n 3.595 * [taylor]: Taking taylor expansion of 1.0 in n 3.596 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.596 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.596 * [taylor]: Taking taylor expansion of -2.0 in n 3.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.596 * [taylor]: Taking taylor expansion of PI in n 3.596 * [taylor]: Taking taylor expansion of n in n 3.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.600 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.600 * [taylor]: Taking taylor expansion of 0.5 in k 3.600 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.600 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.600 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.600 * [taylor]: Taking taylor expansion of k in k 3.600 * [taylor]: Taking taylor expansion of 1.0 in k 3.600 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.600 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.600 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.600 * [taylor]: Taking taylor expansion of -2.0 in k 3.600 * [taylor]: Taking taylor expansion of PI in k 3.601 * [taylor]: Taking taylor expansion of (log n) in k 3.601 * [taylor]: Taking taylor expansion of n in k 3.610 * [taylor]: Taking taylor expansion of 0 in k 3.617 * [taylor]: Taking taylor expansion of 0 in k 3.626 * [taylor]: Taking taylor expansion of 0 in k 3.627 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 1) 3.627 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 3.627 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.627 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.627 * [taylor]: Taking taylor expansion of 1/3 in k 3.627 * [taylor]: Taking taylor expansion of (log k) in k 3.627 * [taylor]: Taking taylor expansion of k in k 3.628 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.628 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.628 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.628 * [taylor]: Taking taylor expansion of 1/3 in k 3.628 * [taylor]: Taking taylor expansion of (log k) in k 3.628 * [taylor]: Taking taylor expansion of k in k 3.683 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 3.683 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.683 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.683 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.683 * [taylor]: Taking taylor expansion of 1/3 in k 3.683 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.683 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.683 * [taylor]: Taking taylor expansion of k in k 3.684 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.684 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.684 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.684 * [taylor]: Taking taylor expansion of 1/3 in k 3.684 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.684 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.684 * [taylor]: Taking taylor expansion of k in k 3.742 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 3.742 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.742 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.742 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.742 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.742 * [taylor]: Taking taylor expansion of 1/3 in k 3.742 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.742 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.742 * [taylor]: Taking taylor expansion of k in k 3.743 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.743 * [taylor]: Taking taylor expansion of -1 in k 3.744 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.744 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.744 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.744 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.744 * [taylor]: Taking taylor expansion of 1/3 in k 3.744 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.744 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.744 * [taylor]: Taking taylor expansion of k in k 3.745 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.745 * [taylor]: Taking taylor expansion of -1 in k 3.813 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 1) 3.813 * [approximate]: Taking taylor expansion of (pow k 1/3) in (k) around 0 3.813 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.813 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.813 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.813 * [taylor]: Taking taylor expansion of 1/3 in k 3.813 * [taylor]: Taking taylor expansion of (log k) in k 3.813 * [taylor]: Taking taylor expansion of k in k 3.814 * [taylor]: Taking taylor expansion of (pow k 1/3) in k 3.814 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log k))) in k 3.814 * [taylor]: Taking taylor expansion of (* 1/3 (log k)) in k 3.814 * [taylor]: Taking taylor expansion of 1/3 in k 3.814 * [taylor]: Taking taylor expansion of (log k) in k 3.814 * [taylor]: Taking taylor expansion of k in k 3.861 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/3) in (k) around 0 3.862 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.862 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.862 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.862 * [taylor]: Taking taylor expansion of 1/3 in k 3.862 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.862 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.862 * [taylor]: Taking taylor expansion of k in k 3.863 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.863 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.863 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.863 * [taylor]: Taking taylor expansion of 1/3 in k 3.863 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.863 * [taylor]: Taking taylor expansion of k in k 3.921 * [approximate]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in (k) around 0 3.921 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.921 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.921 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.921 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.921 * [taylor]: Taking taylor expansion of 1/3 in k 3.921 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.921 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.921 * [taylor]: Taking taylor expansion of k in k 3.922 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.922 * [taylor]: Taking taylor expansion of -1 in k 3.923 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/3) (cbrt -1)) in k 3.923 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/3) in k 3.923 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 k)))) in k 3.923 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 k))) in k 3.923 * [taylor]: Taking taylor expansion of 1/3 in k 3.923 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.923 * [taylor]: Taking taylor expansion of k in k 3.924 * [taylor]: Taking taylor expansion of (cbrt -1) in k 3.924 * [taylor]: Taking taylor expansion of -1 in k 3.991 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 3.991 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in (k) around 0 3.991 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 3.991 * [taylor]: Taking taylor expansion of 1.0 in k 3.991 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 3.991 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 3.991 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 3.992 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 3.992 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 3.992 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 3.992 * [taylor]: Taking taylor expansion of 1/6 in k 3.992 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.992 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.992 * [taylor]: Taking taylor expansion of k in k 3.993 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) in k 3.993 * [taylor]: Taking taylor expansion of 1.0 in k 3.993 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6)) in k 3.993 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow k 1/3))) in k 3.993 * [taylor]: Taking taylor expansion of (fabs (pow k 1/3)) in k 3.993 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/6) in k 3.993 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 k)))) in k 3.993 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 k))) in k 3.993 * [taylor]: Taking taylor expansion of 1/6 in k 3.993 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 3.993 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.993 * [taylor]: Taking taylor expansion of k in k 4.064 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in (k) around 0 4.064 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 4.064 * [taylor]: Taking taylor expansion of 1.0 in k 4.064 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 4.064 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.064 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.064 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.064 * [taylor]: Taking taylor expansion of 1/6 in k 4.064 * [taylor]: Taking taylor expansion of (log k) in k 4.064 * [taylor]: Taking taylor expansion of k in k 4.064 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 4.064 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 4.065 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3))))) in k 4.065 * [taylor]: Taking taylor expansion of 1.0 in k 4.065 * [taylor]: Taking taylor expansion of (* (pow k 1/6) (/ 1 (fabs (pow (/ 1 k) 1/3)))) in k 4.065 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.065 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.065 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.065 * [taylor]: Taking taylor expansion of 1/6 in k 4.065 * [taylor]: Taking taylor expansion of (log k) in k 4.065 * [taylor]: Taking taylor expansion of k in k 4.065 * [taylor]: Taking taylor expansion of (/ 1 (fabs (pow (/ 1 k) 1/3))) in k 4.065 * [taylor]: Taking taylor expansion of (fabs (pow (/ 1 k) 1/3)) in k 4.133 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in (k) around 0 4.133 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 4.133 * [taylor]: Taking taylor expansion of 1.0 in k 4.133 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 4.133 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 4.133 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 4.134 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 4.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 4.134 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 4.134 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.134 * [taylor]: Taking taylor expansion of -1 in k 4.138 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.138 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.138 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.138 * [taylor]: Taking taylor expansion of 1/6 in k 4.138 * [taylor]: Taking taylor expansion of (log k) in k 4.138 * [taylor]: Taking taylor expansion of k in k 4.139 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)))) in k 4.139 * [taylor]: Taking taylor expansion of 1.0 in k 4.139 * [taylor]: Taking taylor expansion of (* (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6))) in k 4.139 * [taylor]: Taking taylor expansion of (/ 1 (fabs (* (pow (/ 1 k) 1/3) (cbrt -1)))) in k 4.139 * [taylor]: Taking taylor expansion of (fabs (* (pow (/ 1 k) 1/3) (cbrt -1))) in k 4.139 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (cbrt -1))) (pow k 1/6)) in k 4.139 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (cbrt -1))) in k 4.140 * [taylor]: Taking taylor expansion of (/ 1 (cbrt -1)) in k 4.140 * [taylor]: Taking taylor expansion of (cbrt -1) in k 4.140 * [taylor]: Taking taylor expansion of -1 in k 4.143 * [taylor]: Taking taylor expansion of (pow k 1/6) in k 4.143 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log k))) in k 4.143 * [taylor]: Taking taylor expansion of (* 1/6 (log k)) in k 4.143 * [taylor]: Taking taylor expansion of 1/6 in k 4.143 * [taylor]: Taking taylor expansion of (log k) in k 4.143 * [taylor]: Taking taylor expansion of k in k 4.261 * * * [progress]: simplifying candidates 4.263 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) (cbrt 1) (cbrt k) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) (* (* (cbrt k) (cbrt k)) (cbrt k)) (sqrt (cbrt k)) (sqrt (cbrt k)) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k)))) (+ (- (+ (log (fabs (cbrt k))) 0)) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (- (+ (log (fabs (cbrt k))) 0)) (log (/ 1.0 (sqrt (cbrt k))))) (+ (- (+ (log (fabs (cbrt k))) (log 1))) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (- (+ (log (fabs (cbrt k))) (log 1))) (log (/ 1.0 (sqrt (cbrt k))))) (+ (- (log (* (fabs (cbrt k)) 1))) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (- (log (* (fabs (cbrt k)) 1))) (log (/ 1.0 (sqrt (cbrt k))))) (+ (- 0 (+ (log (fabs (cbrt k))) 0)) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (- 0 (+ (log (fabs (cbrt k))) 0)) (log (/ 1.0 (sqrt (cbrt k))))) (+ (- 0 (+ (log (fabs (cbrt k))) (log 1))) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (- 0 (+ (log (fabs (cbrt k))) (log 1))) (log (/ 1.0 (sqrt (cbrt k))))) (+ (- 0 (log (* (fabs (cbrt k)) 1))) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (- 0 (log (* (fabs (cbrt k)) 1))) (log (/ 1.0 (sqrt (cbrt k))))) (+ (- (log 1) (+ (log (fabs (cbrt k))) 0)) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (- (log 1) (+ (log (fabs (cbrt k))) 0)) (log (/ 1.0 (sqrt (cbrt k))))) (+ (- (log 1) (+ (log (fabs (cbrt k))) (log 1))) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (- (log 1) (+ (log (fabs (cbrt k))) (log 1))) (log (/ 1.0 (sqrt (cbrt k))))) (+ (- (log 1) (log (* (fabs (cbrt k)) 1))) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (- (log 1) (log (* (fabs (cbrt k)) 1))) (log (/ 1.0 (sqrt (cbrt k))))) (+ (log (/ 1 (* (fabs (cbrt k)) 1))) (- (log 1.0) (log (sqrt (cbrt k))))) (+ (log (/ 1 (* (fabs (cbrt k)) 1))) (log (/ 1.0 (sqrt (cbrt k))))) (log (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (exp (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (* (/ (* (* 1 1) 1) (* (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k))) (* (* 1 1) 1))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k))))) (* (/ (* (* 1 1) 1) (* (* (* (fabs (cbrt k)) (fabs (cbrt k))) (fabs (cbrt k))) (* (* 1 1) 1))) (* (* (/ 1.0 (sqrt (cbrt k))) (/ 1.0 (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt k))))) (* (/ (* (* 1 1) 1) (* (* (* (fabs (cbrt k)) 1) (* (fabs (cbrt k)) 1)) (* (fabs (cbrt k)) 1))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k))))) (* (/ (* (* 1 1) 1) (* (* (* (fabs (cbrt k)) 1) (* (fabs (cbrt k)) 1)) (* (fabs (cbrt k)) 1))) (* (* (/ 1.0 (sqrt (cbrt k))) (/ 1.0 (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt k))))) (* (* (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (* (fabs (cbrt k)) 1))) (/ 1 (* (fabs (cbrt k)) 1))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (cbrt k)) (sqrt (cbrt k))) (sqrt (cbrt k))))) (* (* (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (* (fabs (cbrt k)) 1))) (/ 1 (* (fabs (cbrt k)) 1))) (* (* (/ 1.0 (sqrt (cbrt k))) (/ 1.0 (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt k))))) (* (cbrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (cbrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k)))))) (cbrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (* (* (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k)))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (sqrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (sqrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (* 1 1.0) (* (* (fabs (cbrt k)) 1) (sqrt (cbrt k))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (* (cbrt (/ 1.0 (sqrt (cbrt k)))) (cbrt (/ 1.0 (sqrt (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt (sqrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt 1)))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (cbrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (cbrt 1)))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt 1))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ (sqrt 1.0) 1)) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (sqrt (cbrt (* (cbrt k) (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (sqrt (cbrt (sqrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (sqrt (cbrt 1)))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (sqrt (* (cbrt (cbrt k)) (cbrt (cbrt k)))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (sqrt (sqrt (cbrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (sqrt 1))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 (sqrt (sqrt (cbrt k))))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1 1)) (* (/ 1 (* (fabs (cbrt k)) 1)) 1) (* (/ 1 (* (fabs (cbrt k)) 1)) 1.0) (* (cbrt (/ 1 (* (fabs (cbrt k)) 1))) (/ 1.0 (sqrt (cbrt k)))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ 1.0 (sqrt (cbrt k)))) (* (/ (cbrt 1) 1) (/ 1.0 (sqrt (cbrt k)))) (* (/ (sqrt 1) 1) (/ 1.0 (sqrt (cbrt k)))) (* (/ 1 1) (/ 1.0 (sqrt (cbrt k)))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k)))) (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k)))) (* (/ 1 (* (fabs (cbrt k)) 1)) 1.0) (* 1 (/ 1.0 (sqrt (cbrt k)))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* 1.0 (* (/ 1 (fabs (pow k 1/3))) (pow (/ 1 k) 1/6))) (* 1.0 (* (pow (/ 1 k) 1/6) (/ 1 (fabs (pow k 1/3))))) (* 1.0 (* (pow (/ -1 k) 1/6) (* (sqrt (/ 1 (cbrt -1))) (/ 1 (fabs (* (pow (* -1 k) 1/3) (cbrt -1))))))) 4.279 * * [simplify]: iteration 0 : 888 enodes (cost 1243 ) 4.295 * * [simplify]: iteration 1 : 3654 enodes (cost 1065 ) 4.343 * * [simplify]: iteration 2 : 5001 enodes (cost 1044 ) 4.348 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 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))) (* (* 2.0 PI) n) (pow (* 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k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (log (cbrt k)) (exp (cbrt k)) (cbrt (* (cbrt k) (cbrt k))) (cbrt (cbrt k)) (cbrt (sqrt k)) (cbrt (sqrt k)) 1 (pow k 1/3) (* (cbrt (cbrt k)) (cbrt (cbrt k))) (cbrt (cbrt k)) k (sqrt (cbrt k)) (sqrt (cbrt k)) (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (- (log (/ 1.0 (fabs (cbrt k)))) (log (sqrt (cbrt k)))) (pow (exp (/ 1 (fabs (cbrt k)))) (/ 1.0 (sqrt (cbrt k)))) (pow (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) 3) (pow (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) 3) (pow (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) 3) (pow (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) 3) (pow (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) 3) (pow (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) 3) (* (cbrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (cbrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k)))))) (cbrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (pow (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) 3) (sqrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) (sqrt (* (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))))) 1.0 (* (sqrt (cbrt k)) (fabs (cbrt k))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (sqrt (/ 1.0 (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (* (cbrt (/ 1.0 (sqrt (cbrt k)))) (cbrt (/ 1.0 (sqrt (cbrt k))))) (fabs (cbrt k))) (/ (sqrt (/ 1.0 (sqrt (cbrt k)))) (fabs (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (fabs (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt (* (cbrt k) (cbrt k))))) (fabs (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (cbrt (sqrt k)))) (fabs (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (/ (cbrt 1.0) (/ (fabs (cbrt (cbrt k))) (cbrt 1.0))) (fabs (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (fabs (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (cbrt k)))) (fabs (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (/ (sqrt 1.0) (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (fabs (cbrt k))) (/ (sqrt 1.0) (* (sqrt (cbrt (* (cbrt k) (cbrt k)))) (fabs (cbrt k)))) (/ (sqrt 1.0) (* (sqrt (cbrt (sqrt k))) (fabs (cbrt k)))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (* (fabs (cbrt (cbrt k))) (fabs (cbrt k)))) (/ (sqrt 1.0) (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (/ 1 (* (cbrt (sqrt (cbrt k))) (cbrt (sqrt (cbrt k))))) (fabs (cbrt k))) (/ 1 (* (sqrt (cbrt (* (cbrt k) (cbrt k)))) (fabs (cbrt k)))) (/ 1 (* (sqrt (cbrt (sqrt k))) (fabs (cbrt k)))) (/ 1 (fabs (cbrt k))) (/ 1 (* (fabs (cbrt (cbrt k))) (fabs (cbrt k)))) (/ 1 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) (/ 1 (fabs (cbrt k))) (/ 1 (* (sqrt (sqrt (cbrt k))) (fabs (cbrt k)))) (/ 1 (fabs (cbrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k))) (* (cbrt (/ 1 (* (fabs (cbrt k)) 1))) (/ 1.0 (sqrt (cbrt k)))) (* (sqrt (/ 1 (* (fabs (cbrt k)) 1))) (/ 1.0 (sqrt (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (/ (/ 1.0 (sqrt (cbrt k))) (fabs (cbrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (pow k 1/3) (pow (/ 1 k) -1/3) (* (pow (* -1 k) 1/3) (cbrt -1)) (* (/ 1.0 (fabs (cbrt k))) (pow (/ 1 k) 1/6)) (* (/ 1.0 (fabs (cbrt k))) (pow (/ 1 k) 1/6)) (/ (* (* 1.0 (pow (/ -1 k) 1/6)) (sqrt (/ 1 (cbrt -1)))) (fabs (* (pow (* -1 k) 1/3) (cbrt -1)))) 4.349 * * * [progress]: adding candidates to table 5.046 * [progress]: [Phase 3 of 3] Extracting. 5.046 * * [regime]: Finding splitpoints for: (# # # # # # # #) 5.049 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.049 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 5.087 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 5.121 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 5.158 * * * [regime]: Found split indices: #