16.175 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.076 * * * [progress]: [2/2] Setting up program. 0.079 * [progress]: [Phase 2 of 3] Improving. 0.079 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.082 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.083 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.085 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.087 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.093 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.115 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.116 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.118 * * * * [pick]: Picked # 0.118 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.141 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.153 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.156 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.180 * * * [progress]: generating series expansions 0.180 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.181 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.181 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.181 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.181 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.181 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.181 * [taylor]: Taking taylor expansion of 0.5 in k 0.181 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.181 * [taylor]: Taking taylor expansion of 1.0 in k 0.181 * [taylor]: Taking taylor expansion of k in k 0.181 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.181 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.181 * [taylor]: Taking taylor expansion of 2.0 in k 0.181 * [taylor]: Taking taylor expansion of (* n PI) in k 0.181 * [taylor]: Taking taylor expansion of n in k 0.181 * [taylor]: Taking taylor expansion of PI in k 0.182 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.182 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.182 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.182 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.182 * [taylor]: Taking taylor expansion of 0.5 in n 0.182 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.182 * [taylor]: Taking taylor expansion of 1.0 in n 0.182 * [taylor]: Taking taylor expansion of k in n 0.182 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.182 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.182 * [taylor]: Taking taylor expansion of 2.0 in n 0.182 * [taylor]: Taking taylor expansion of (* n PI) in n 0.182 * [taylor]: Taking taylor expansion of n in n 0.182 * [taylor]: Taking taylor expansion of PI in n 0.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.188 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.188 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.188 * [taylor]: Taking taylor expansion of 0.5 in n 0.188 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.188 * [taylor]: Taking taylor expansion of 1.0 in n 0.188 * [taylor]: Taking taylor expansion of k in n 0.188 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.188 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.188 * [taylor]: Taking taylor expansion of 2.0 in n 0.188 * [taylor]: Taking taylor expansion of (* n PI) in n 0.188 * [taylor]: Taking taylor expansion of n in n 0.188 * [taylor]: Taking taylor expansion of PI in n 0.194 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.194 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.194 * [taylor]: Taking taylor expansion of 0.5 in k 0.194 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.194 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.194 * [taylor]: Taking taylor expansion of 1.0 in k 0.194 * [taylor]: Taking taylor expansion of k in k 0.194 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.194 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.194 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.194 * [taylor]: Taking taylor expansion of 2.0 in k 0.194 * [taylor]: Taking taylor expansion of PI in k 0.195 * [taylor]: Taking taylor expansion of (log n) in k 0.195 * [taylor]: Taking taylor expansion of n in k 0.205 * [taylor]: Taking taylor expansion of 0 in k 0.221 * [taylor]: Taking taylor expansion of 0 in k 0.247 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.247 * [taylor]: Taking taylor expansion of 0.5 in k 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.247 * [taylor]: Taking taylor expansion of 1.0 in k 0.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.247 * [taylor]: Taking taylor expansion of k in k 0.247 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.247 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.247 * [taylor]: Taking taylor expansion of 2.0 in k 0.247 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.247 * [taylor]: Taking taylor expansion of PI in k 0.247 * [taylor]: Taking taylor expansion of n in k 0.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.248 * [taylor]: Taking taylor expansion of 0.5 in n 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.248 * [taylor]: Taking taylor expansion of 1.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.248 * [taylor]: Taking taylor expansion of k in n 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.248 * [taylor]: Taking taylor expansion of 2.0 in n 0.248 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.249 * [taylor]: Taking taylor expansion of PI in n 0.249 * [taylor]: Taking taylor expansion of n in n 0.252 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.252 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.252 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.252 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.252 * [taylor]: Taking taylor expansion of 0.5 in n 0.252 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.252 * [taylor]: Taking taylor expansion of 1.0 in n 0.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.253 * [taylor]: Taking taylor expansion of k in n 0.253 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.253 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.253 * [taylor]: Taking taylor expansion of 2.0 in n 0.253 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.253 * [taylor]: Taking taylor expansion of PI in n 0.253 * [taylor]: Taking taylor expansion of n in n 0.256 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.257 * [taylor]: Taking taylor expansion of 0.5 in k 0.257 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.257 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.257 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.257 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.257 * [taylor]: Taking taylor expansion of 2.0 in k 0.257 * [taylor]: Taking taylor expansion of PI in k 0.258 * [taylor]: Taking taylor expansion of (log n) in k 0.258 * [taylor]: Taking taylor expansion of n in k 0.258 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.258 * [taylor]: Taking taylor expansion of 1.0 in k 0.258 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.258 * [taylor]: Taking taylor expansion of k in k 0.268 * [taylor]: Taking taylor expansion of 0 in k 0.275 * [taylor]: Taking taylor expansion of 0 in k 0.285 * [taylor]: Taking taylor expansion of 0 in k 0.286 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.286 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.286 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.286 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.286 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.286 * [taylor]: Taking taylor expansion of 0.5 in k 0.286 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.286 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.286 * [taylor]: Taking taylor expansion of k in k 0.286 * [taylor]: Taking taylor expansion of 1.0 in k 0.287 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.287 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.287 * [taylor]: Taking taylor expansion of -2.0 in k 0.287 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.287 * [taylor]: Taking taylor expansion of PI in k 0.287 * [taylor]: Taking taylor expansion of n in k 0.287 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.288 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.288 * [taylor]: Taking taylor expansion of 0.5 in n 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.288 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.288 * [taylor]: Taking taylor expansion of k in n 0.288 * [taylor]: Taking taylor expansion of 1.0 in n 0.288 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.288 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.288 * [taylor]: Taking taylor expansion of -2.0 in n 0.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.288 * [taylor]: Taking taylor expansion of PI in n 0.288 * [taylor]: Taking taylor expansion of n in n 0.291 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.291 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.292 * [taylor]: Taking taylor expansion of k in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.292 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.292 * [taylor]: Taking taylor expansion of -2.0 in n 0.292 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.292 * [taylor]: Taking taylor expansion of n in n 0.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.296 * [taylor]: Taking taylor expansion of 0.5 in k 0.296 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.296 * [taylor]: Taking taylor expansion of k in k 0.296 * [taylor]: Taking taylor expansion of 1.0 in k 0.296 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.296 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.296 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.296 * [taylor]: Taking taylor expansion of -2.0 in k 0.296 * [taylor]: Taking taylor expansion of PI in k 0.297 * [taylor]: Taking taylor expansion of (log n) in k 0.297 * [taylor]: Taking taylor expansion of n in k 0.306 * [taylor]: Taking taylor expansion of 0 in k 0.314 * [taylor]: Taking taylor expansion of 0 in k 0.323 * [taylor]: Taking taylor expansion of 0 in k 0.330 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.330 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.330 * [taylor]: Taking taylor expansion of 2.0 in n 0.330 * [taylor]: Taking taylor expansion of (* n PI) in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.330 * [taylor]: Taking taylor expansion of PI in n 0.330 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.330 * [taylor]: Taking taylor expansion of 2.0 in n 0.330 * [taylor]: Taking taylor expansion of (* n PI) in n 0.330 * [taylor]: Taking taylor expansion of n in n 0.330 * [taylor]: Taking taylor expansion of PI in n 0.343 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.343 * [taylor]: Taking taylor expansion of 2.0 in n 0.343 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.343 * [taylor]: Taking taylor expansion of PI in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.344 * [taylor]: Taking taylor expansion of 2.0 in n 0.344 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.344 * [taylor]: Taking taylor expansion of PI in n 0.344 * [taylor]: Taking taylor expansion of n in n 0.353 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.353 * [taylor]: Taking taylor expansion of -2.0 in n 0.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.353 * [taylor]: Taking taylor expansion of PI in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.353 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.353 * [taylor]: Taking taylor expansion of -2.0 in n 0.353 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.353 * [taylor]: Taking taylor expansion of PI in n 0.353 * [taylor]: Taking taylor expansion of n in n 0.362 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.362 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.362 * [taylor]: Taking taylor expansion of 1.0 in k 0.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.363 * [taylor]: Taking taylor expansion of k in k 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.364 * [taylor]: Taking taylor expansion of 1.0 in k 0.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.364 * [taylor]: Taking taylor expansion of k in k 0.376 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.376 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.376 * [taylor]: Taking taylor expansion of 1.0 in k 0.376 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.376 * [taylor]: Taking taylor expansion of k in k 0.377 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.377 * [taylor]: Taking taylor expansion of 1.0 in k 0.377 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.377 * [taylor]: Taking taylor expansion of k in k 0.388 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.388 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.388 * [taylor]: Taking taylor expansion of 1.0 in k 0.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.388 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.388 * [taylor]: Taking taylor expansion of -1 in k 0.388 * [taylor]: Taking taylor expansion of k in k 0.390 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.390 * [taylor]: Taking taylor expansion of 1.0 in k 0.390 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.390 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.390 * [taylor]: Taking taylor expansion of -1 in k 0.390 * [taylor]: Taking taylor expansion of k in k 0.402 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.403 * [taylor]: Taking taylor expansion of 1.0 in n 0.403 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.403 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.403 * [taylor]: Taking taylor expansion of k in n 0.403 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.403 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.403 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.403 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.403 * [taylor]: Taking taylor expansion of 0.5 in n 0.403 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.403 * [taylor]: Taking taylor expansion of 1.0 in n 0.403 * [taylor]: Taking taylor expansion of k in n 0.403 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.403 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.403 * [taylor]: Taking taylor expansion of 2.0 in n 0.403 * [taylor]: Taking taylor expansion of (* n PI) in n 0.403 * [taylor]: Taking taylor expansion of n in n 0.403 * [taylor]: Taking taylor expansion of PI in n 0.409 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.409 * [taylor]: Taking taylor expansion of 1.0 in k 0.409 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.409 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.409 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.409 * [taylor]: Taking taylor expansion of k in k 0.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.410 * [taylor]: Taking taylor expansion of 0.5 in k 0.410 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.410 * [taylor]: Taking taylor expansion of 1.0 in k 0.410 * [taylor]: Taking taylor expansion of k in k 0.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.410 * [taylor]: Taking taylor expansion of 2.0 in k 0.411 * [taylor]: Taking taylor expansion of (* n PI) in k 0.411 * [taylor]: Taking taylor expansion of n in k 0.411 * [taylor]: Taking taylor expansion of PI in k 0.412 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.412 * [taylor]: Taking taylor expansion of 1.0 in k 0.412 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.412 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.412 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.412 * [taylor]: Taking taylor expansion of k in k 0.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.419 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.419 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.419 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.419 * [taylor]: Taking taylor expansion of 0.5 in k 0.419 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.419 * [taylor]: Taking taylor expansion of 1.0 in k 0.419 * [taylor]: Taking taylor expansion of k in k 0.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.419 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.419 * [taylor]: Taking taylor expansion of 2.0 in k 0.419 * [taylor]: Taking taylor expansion of (* n PI) in k 0.419 * [taylor]: Taking taylor expansion of n in k 0.419 * [taylor]: Taking taylor expansion of PI in k 0.420 * [taylor]: Taking taylor expansion of 0 in n 0.426 * [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 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of +nan.0 in n 0.426 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.426 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.426 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.426 * [taylor]: Taking taylor expansion of 0.5 in n 0.426 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.426 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.426 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.426 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.426 * [taylor]: Taking taylor expansion of 1.0 in n 0.426 * [taylor]: Taking taylor expansion of (log PI) in n 0.426 * [taylor]: Taking taylor expansion of PI in n 0.428 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.428 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.428 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.428 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.428 * [taylor]: Taking taylor expansion of 1.0 in n 0.428 * [taylor]: Taking taylor expansion of (log n) in n 0.428 * [taylor]: Taking taylor expansion of n in n 0.429 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.429 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.429 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.429 * [taylor]: Taking taylor expansion of 1.0 in n 0.429 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.429 * [taylor]: Taking taylor expansion of 2.0 in n 0.449 * [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 0.449 * [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 0.449 * [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 0.449 * [taylor]: Taking taylor expansion of +nan.0 in n 0.449 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.449 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.449 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.449 * [taylor]: Taking taylor expansion of 0.5 in n 0.449 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.449 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.449 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.449 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.449 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.449 * [taylor]: Taking taylor expansion of 1.0 in n 0.449 * [taylor]: Taking taylor expansion of (log PI) in n 0.449 * [taylor]: Taking taylor expansion of PI in n 0.451 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.451 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.451 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.451 * [taylor]: Taking taylor expansion of 1.0 in n 0.451 * [taylor]: Taking taylor expansion of (log n) in n 0.451 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.452 * [taylor]: Taking taylor expansion of 1.0 in n 0.452 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.457 * [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 0.457 * [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 0.457 * [taylor]: Taking taylor expansion of +nan.0 in n 0.457 * [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 0.458 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.458 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.458 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.458 * [taylor]: Taking taylor expansion of 0.5 in n 0.458 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.458 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.458 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.458 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.458 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.458 * [taylor]: Taking taylor expansion of 1.0 in n 0.458 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.458 * [taylor]: Taking taylor expansion of 2.0 in n 0.459 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.460 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.460 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.460 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.460 * [taylor]: Taking taylor expansion of 1.0 in n 0.460 * [taylor]: Taking taylor expansion of (log PI) in n 0.460 * [taylor]: Taking taylor expansion of PI in n 0.462 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.462 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.462 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.462 * [taylor]: Taking taylor expansion of 1.0 in n 0.462 * [taylor]: Taking taylor expansion of (log n) in n 0.462 * [taylor]: Taking taylor expansion of n in n 0.466 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.466 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.466 * [taylor]: Taking taylor expansion of 2.0 in n 0.466 * [taylor]: Taking taylor expansion of (* n PI) in n 0.466 * [taylor]: Taking taylor expansion of n in n 0.466 * [taylor]: Taking taylor expansion of PI in n 0.523 * [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 0.523 * [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 0.523 * [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 0.523 * [taylor]: Taking taylor expansion of +nan.0 in n 0.523 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.524 * [taylor]: Taking taylor expansion of 0.5 in n 0.524 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.524 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.524 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.524 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.524 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.524 * [taylor]: Taking taylor expansion of 1.0 in n 0.524 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.524 * [taylor]: Taking taylor expansion of 2.0 in n 0.525 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.525 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log n) in n 0.526 * [taylor]: Taking taylor expansion of n in n 0.526 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.526 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.526 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.526 * [taylor]: Taking taylor expansion of 1.0 in n 0.526 * [taylor]: Taking taylor expansion of (log PI) in n 0.526 * [taylor]: Taking taylor expansion of PI in n 0.532 * [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 0.532 * [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 0.532 * [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 0.532 * [taylor]: Taking taylor expansion of +nan.0 in n 0.532 * [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 0.532 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.532 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.532 * [taylor]: Taking taylor expansion of 0.5 in n 0.532 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.532 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.532 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.532 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.532 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.532 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.532 * [taylor]: Taking taylor expansion of 2.0 in n 0.534 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.534 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.534 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.534 * [taylor]: Taking taylor expansion of 1.0 in n 0.534 * [taylor]: Taking taylor expansion of (log PI) in n 0.534 * [taylor]: Taking taylor expansion of PI in n 0.536 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.536 * [taylor]: Taking taylor expansion of 1.0 in n 0.536 * [taylor]: Taking taylor expansion of (log n) in n 0.536 * [taylor]: Taking taylor expansion of n in n 0.540 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.540 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.540 * [taylor]: Taking taylor expansion of 2.0 in n 0.541 * [taylor]: Taking taylor expansion of (* n PI) in n 0.541 * [taylor]: Taking taylor expansion of n in n 0.541 * [taylor]: Taking taylor expansion of PI in n 0.544 * [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 0.544 * [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 0.544 * [taylor]: Taking taylor expansion of +nan.0 in n 0.544 * [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 0.544 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.544 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.544 * [taylor]: Taking taylor expansion of 0.5 in n 0.544 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.544 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.544 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.544 * [taylor]: Taking taylor expansion of 1.0 in n 0.544 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.544 * [taylor]: Taking taylor expansion of 2.0 in n 0.546 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.546 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.546 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.546 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.546 * [taylor]: Taking taylor expansion of 1.0 in n 0.546 * [taylor]: Taking taylor expansion of (log PI) in n 0.546 * [taylor]: Taking taylor expansion of PI in n 0.548 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.548 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.548 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.548 * [taylor]: Taking taylor expansion of 1.0 in n 0.548 * [taylor]: Taking taylor expansion of (log n) in n 0.548 * [taylor]: Taking taylor expansion of n in n 0.552 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.552 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.552 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.552 * [taylor]: Taking taylor expansion of 2.0 in n 0.552 * [taylor]: Taking taylor expansion of (* n PI) in n 0.552 * [taylor]: Taking taylor expansion of n in n 0.552 * [taylor]: Taking taylor expansion of PI in n 0.634 * [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 0.634 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.634 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.634 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.634 * [taylor]: Taking taylor expansion of 0.5 in n 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.634 * [taylor]: Taking taylor expansion of 2.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.638 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.638 * [taylor]: Taking taylor expansion of 1.0 in k 0.638 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.638 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.638 * [taylor]: Taking taylor expansion of k in k 0.640 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.640 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.640 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.640 * [taylor]: Taking taylor expansion of 0.5 in k 0.640 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.640 * [taylor]: Taking taylor expansion of 1.0 in k 0.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.640 * [taylor]: Taking taylor expansion of k in k 0.640 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.640 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.640 * [taylor]: Taking taylor expansion of 2.0 in k 0.640 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.640 * [taylor]: Taking taylor expansion of PI in k 0.640 * [taylor]: Taking taylor expansion of n in k 0.641 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.641 * [taylor]: Taking taylor expansion of 1.0 in k 0.641 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.641 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.641 * [taylor]: Taking taylor expansion of k in k 0.642 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.642 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.642 * [taylor]: Taking taylor expansion of 0.5 in k 0.642 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.642 * [taylor]: Taking taylor expansion of 1.0 in k 0.642 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.643 * [taylor]: Taking taylor expansion of k in k 0.643 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.643 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.643 * [taylor]: Taking taylor expansion of 2.0 in k 0.643 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.643 * [taylor]: Taking taylor expansion of PI in k 0.643 * [taylor]: Taking taylor expansion of n in k 0.644 * [taylor]: Taking taylor expansion of 0 in n 0.645 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.645 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.645 * [taylor]: Taking taylor expansion of +nan.0 in n 0.645 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.645 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.645 * [taylor]: Taking taylor expansion of 0.5 in n 0.645 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.645 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.645 * [taylor]: Taking taylor expansion of 2.0 in n 0.645 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.645 * [taylor]: Taking taylor expansion of PI in n 0.645 * [taylor]: Taking taylor expansion of n in n 0.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.647 * [taylor]: Taking taylor expansion of 1.0 in n 0.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.647 * [taylor]: Taking taylor expansion of k in n 0.656 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.656 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.656 * [taylor]: Taking taylor expansion of +nan.0 in n 0.656 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.656 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.656 * [taylor]: Taking taylor expansion of 0.5 in n 0.656 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.656 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.656 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.656 * [taylor]: Taking taylor expansion of 2.0 in n 0.656 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.656 * [taylor]: Taking taylor expansion of PI in n 0.656 * [taylor]: Taking taylor expansion of n in n 0.657 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.657 * [taylor]: Taking taylor expansion of 1.0 in n 0.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.657 * [taylor]: Taking taylor expansion of k in n 0.674 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.674 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.674 * [taylor]: Taking taylor expansion of +nan.0 in n 0.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.674 * [taylor]: Taking taylor expansion of 0.5 in n 0.674 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.674 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.674 * [taylor]: Taking taylor expansion of 2.0 in n 0.675 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.675 * [taylor]: Taking taylor expansion of PI in n 0.675 * [taylor]: Taking taylor expansion of n in n 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.676 * [taylor]: Taking taylor expansion of k in n 0.685 * [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 0.685 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.685 * [taylor]: Taking taylor expansion of 1.0 in n 0.685 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.685 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.685 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.685 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.685 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.685 * [taylor]: Taking taylor expansion of 0.5 in n 0.685 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.685 * [taylor]: Taking taylor expansion of k in n 0.685 * [taylor]: Taking taylor expansion of 1.0 in n 0.685 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.685 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.685 * [taylor]: Taking taylor expansion of -2.0 in n 0.685 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.685 * [taylor]: Taking taylor expansion of PI in n 0.685 * [taylor]: Taking taylor expansion of n in n 0.689 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.689 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.689 * [taylor]: Taking taylor expansion of -1 in n 0.689 * [taylor]: Taking taylor expansion of k in n 0.690 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.690 * [taylor]: Taking taylor expansion of 1.0 in k 0.690 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.690 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.690 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.690 * [taylor]: Taking taylor expansion of 0.5 in k 0.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.690 * [taylor]: Taking taylor expansion of k in k 0.691 * [taylor]: Taking taylor expansion of 1.0 in k 0.691 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.691 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.691 * [taylor]: Taking taylor expansion of -2.0 in k 0.691 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.691 * [taylor]: Taking taylor expansion of PI in k 0.691 * [taylor]: Taking taylor expansion of n in k 0.692 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.692 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.692 * [taylor]: Taking taylor expansion of -1 in k 0.692 * [taylor]: Taking taylor expansion of k in k 0.693 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.693 * [taylor]: Taking taylor expansion of 1.0 in k 0.693 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.693 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.693 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.693 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.693 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.693 * [taylor]: Taking taylor expansion of 0.5 in k 0.693 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.693 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.693 * [taylor]: Taking taylor expansion of k in k 0.694 * [taylor]: Taking taylor expansion of 1.0 in k 0.694 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.694 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.694 * [taylor]: Taking taylor expansion of -2.0 in k 0.694 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.694 * [taylor]: Taking taylor expansion of PI in k 0.694 * [taylor]: Taking taylor expansion of n in k 0.700 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.700 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.700 * [taylor]: Taking taylor expansion of -1 in k 0.700 * [taylor]: Taking taylor expansion of k in k 0.702 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.702 * [taylor]: Taking taylor expansion of +nan.0 in n 0.702 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.702 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.702 * [taylor]: Taking taylor expansion of 0.5 in n 0.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.702 * [taylor]: Taking taylor expansion of k in n 0.702 * [taylor]: Taking taylor expansion of 1.0 in n 0.702 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.702 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.702 * [taylor]: Taking taylor expansion of -2.0 in n 0.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.702 * [taylor]: Taking taylor expansion of PI in n 0.702 * [taylor]: Taking taylor expansion of n in n 0.711 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.712 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.712 * [taylor]: Taking taylor expansion of +nan.0 in n 0.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.712 * [taylor]: Taking taylor expansion of 0.5 in n 0.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.712 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.712 * [taylor]: Taking taylor expansion of k in n 0.712 * [taylor]: Taking taylor expansion of 1.0 in n 0.712 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.712 * [taylor]: Taking taylor expansion of -2.0 in n 0.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.712 * [taylor]: Taking taylor expansion of PI in n 0.712 * [taylor]: Taking taylor expansion of n in n 0.731 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.731 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.731 * [taylor]: Taking taylor expansion of +nan.0 in n 0.731 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.731 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.731 * [taylor]: Taking taylor expansion of 0.5 in n 0.731 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.731 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.731 * [taylor]: Taking taylor expansion of k in n 0.731 * [taylor]: Taking taylor expansion of 1.0 in n 0.731 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.731 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.731 * [taylor]: Taking taylor expansion of -2.0 in n 0.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.731 * [taylor]: Taking taylor expansion of PI in n 0.731 * [taylor]: Taking taylor expansion of n in n 0.741 * * * [progress]: simplifying candidates 0.743 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) 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1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 0.844 * * * [progress]: adding candidates to table 1.292 * * [progress]: iteration 2 / 4 1.292 * * * [progress]: picking best candidate 1.322 * * * * [pick]: Picked # 1.322 * * * [progress]: localizing error 1.336 * * * [progress]: generating rewritten candidates 1.336 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.350 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 1.364 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.370 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 1.389 * * * [progress]: generating series expansions 1.389 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.390 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.390 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.390 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.390 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.390 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.390 * [taylor]: Taking taylor expansion of 0.25 in k 1.390 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.390 * [taylor]: Taking taylor expansion of 1.0 in k 1.390 * [taylor]: Taking taylor expansion of k in k 1.390 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.390 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.390 * [taylor]: Taking taylor expansion of 2.0 in k 1.390 * [taylor]: Taking taylor expansion of (* n PI) in k 1.390 * [taylor]: Taking taylor expansion of n in k 1.390 * [taylor]: Taking taylor expansion of PI in k 1.396 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.396 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.396 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.396 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.396 * [taylor]: Taking taylor expansion of 0.25 in n 1.396 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.396 * [taylor]: Taking taylor expansion of 1.0 in n 1.396 * [taylor]: Taking taylor expansion of k in n 1.396 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.396 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.396 * [taylor]: Taking taylor expansion of 2.0 in n 1.396 * [taylor]: Taking taylor expansion of (* n PI) in n 1.396 * [taylor]: Taking taylor expansion of n in n 1.396 * [taylor]: Taking taylor expansion of PI in n 1.402 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.402 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.402 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.402 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.402 * [taylor]: Taking taylor expansion of 0.25 in n 1.402 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.402 * [taylor]: Taking taylor expansion of 1.0 in n 1.402 * [taylor]: Taking taylor expansion of k in n 1.402 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.402 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.402 * [taylor]: Taking taylor expansion of 2.0 in n 1.402 * [taylor]: Taking taylor expansion of (* n PI) in n 1.402 * [taylor]: Taking taylor expansion of n in n 1.402 * [taylor]: Taking taylor expansion of PI in n 1.408 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.408 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.408 * [taylor]: Taking taylor expansion of 0.25 in k 1.408 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.408 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.408 * [taylor]: Taking taylor expansion of 1.0 in k 1.408 * [taylor]: Taking taylor expansion of k in k 1.408 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.408 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.408 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.408 * [taylor]: Taking taylor expansion of 2.0 in k 1.408 * [taylor]: Taking taylor expansion of PI in k 1.409 * [taylor]: Taking taylor expansion of (log n) in k 1.409 * [taylor]: Taking taylor expansion of n in k 1.419 * [taylor]: Taking taylor expansion of 0 in k 1.436 * [taylor]: Taking taylor expansion of 0 in k 1.456 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.456 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.456 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.456 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.456 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.456 * [taylor]: Taking taylor expansion of 0.25 in k 1.456 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.456 * [taylor]: Taking taylor expansion of 1.0 in k 1.456 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.456 * [taylor]: Taking taylor expansion of k in k 1.456 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.456 * [taylor]: Taking taylor expansion of 2.0 in k 1.456 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.456 * [taylor]: Taking taylor expansion of PI in k 1.456 * [taylor]: Taking taylor expansion of n in k 1.457 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.457 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.457 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.457 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.457 * [taylor]: Taking taylor expansion of 0.25 in n 1.457 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.457 * [taylor]: Taking taylor expansion of 1.0 in n 1.457 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.457 * [taylor]: Taking taylor expansion of k in n 1.457 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.457 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.457 * [taylor]: Taking taylor expansion of 2.0 in n 1.457 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.457 * [taylor]: Taking taylor expansion of PI in n 1.457 * [taylor]: Taking taylor expansion of n in n 1.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.461 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.461 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.461 * [taylor]: Taking taylor expansion of 0.25 in n 1.461 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.461 * [taylor]: Taking taylor expansion of 1.0 in n 1.461 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.461 * [taylor]: Taking taylor expansion of k in n 1.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.462 * [taylor]: Taking taylor expansion of 2.0 in n 1.462 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.462 * [taylor]: Taking taylor expansion of PI in n 1.462 * [taylor]: Taking taylor expansion of n in n 1.465 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.465 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.466 * [taylor]: Taking taylor expansion of 0.25 in k 1.466 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.466 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.466 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.466 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.466 * [taylor]: Taking taylor expansion of 2.0 in k 1.466 * [taylor]: Taking taylor expansion of PI in k 1.467 * [taylor]: Taking taylor expansion of (log n) in k 1.467 * [taylor]: Taking taylor expansion of n in k 1.467 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.467 * [taylor]: Taking taylor expansion of 1.0 in k 1.467 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.467 * [taylor]: Taking taylor expansion of k in k 1.477 * [taylor]: Taking taylor expansion of 0 in k 1.490 * [taylor]: Taking taylor expansion of 0 in k 1.499 * [taylor]: Taking taylor expansion of 0 in k 1.501 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.501 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.501 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.501 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.501 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.501 * [taylor]: Taking taylor expansion of 0.25 in k 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.501 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.501 * [taylor]: Taking taylor expansion of k in k 1.501 * [taylor]: Taking taylor expansion of 1.0 in k 1.501 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.502 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.502 * [taylor]: Taking taylor expansion of -2.0 in k 1.502 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.502 * [taylor]: Taking taylor expansion of PI in k 1.502 * [taylor]: Taking taylor expansion of n in k 1.502 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.502 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.502 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.502 * [taylor]: Taking taylor expansion of 0.25 in n 1.503 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.503 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.503 * [taylor]: Taking taylor expansion of k in n 1.503 * [taylor]: Taking taylor expansion of 1.0 in n 1.503 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.503 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.503 * [taylor]: Taking taylor expansion of -2.0 in n 1.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.503 * [taylor]: Taking taylor expansion of PI in n 1.503 * [taylor]: Taking taylor expansion of n in n 1.506 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.507 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.507 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.507 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.507 * [taylor]: Taking taylor expansion of 0.25 in n 1.507 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.507 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.507 * [taylor]: Taking taylor expansion of k in n 1.507 * [taylor]: Taking taylor expansion of 1.0 in n 1.507 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.507 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.507 * [taylor]: Taking taylor expansion of -2.0 in n 1.507 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.507 * [taylor]: Taking taylor expansion of PI in n 1.507 * [taylor]: Taking taylor expansion of n in n 1.511 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.511 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.511 * [taylor]: Taking taylor expansion of 0.25 in k 1.511 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.511 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.511 * [taylor]: Taking taylor expansion of k in k 1.511 * [taylor]: Taking taylor expansion of 1.0 in k 1.511 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.511 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.511 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.511 * [taylor]: Taking taylor expansion of -2.0 in k 1.511 * [taylor]: Taking taylor expansion of PI in k 1.512 * [taylor]: Taking taylor expansion of (log n) in k 1.512 * [taylor]: Taking taylor expansion of n in k 1.522 * [taylor]: Taking taylor expansion of 0 in k 1.529 * [taylor]: Taking taylor expansion of 0 in k 1.538 * [taylor]: Taking taylor expansion of 0 in k 1.539 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 1.540 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 1.540 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 1.540 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.540 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.540 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 1.540 * [taylor]: Taking taylor expansion of 0.25 in k 1.540 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.540 * [taylor]: Taking taylor expansion of 1.0 in k 1.540 * [taylor]: Taking taylor expansion of k in k 1.540 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.540 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.540 * [taylor]: Taking taylor expansion of 2.0 in k 1.540 * [taylor]: Taking taylor expansion of (* n PI) in k 1.540 * [taylor]: Taking taylor expansion of n in k 1.540 * [taylor]: Taking taylor expansion of PI in k 1.541 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.541 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.541 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.541 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.541 * [taylor]: Taking taylor expansion of 0.25 in n 1.541 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.541 * [taylor]: Taking taylor expansion of 1.0 in n 1.541 * [taylor]: Taking taylor expansion of k in n 1.541 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.541 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.541 * [taylor]: Taking taylor expansion of 2.0 in n 1.541 * [taylor]: Taking taylor expansion of (* n PI) in n 1.541 * [taylor]: Taking taylor expansion of n in n 1.541 * [taylor]: Taking taylor expansion of PI in n 1.547 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 1.547 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.547 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.547 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 1.547 * [taylor]: Taking taylor expansion of 0.25 in n 1.547 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.547 * [taylor]: Taking taylor expansion of 1.0 in n 1.547 * [taylor]: Taking taylor expansion of k in n 1.547 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.547 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.547 * [taylor]: Taking taylor expansion of 2.0 in n 1.547 * [taylor]: Taking taylor expansion of (* n PI) in n 1.547 * [taylor]: Taking taylor expansion of n in n 1.547 * [taylor]: Taking taylor expansion of PI in n 1.553 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.553 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.553 * [taylor]: Taking taylor expansion of 0.25 in k 1.553 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.553 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.553 * [taylor]: Taking taylor expansion of 1.0 in k 1.553 * [taylor]: Taking taylor expansion of k in k 1.553 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.553 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.553 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.553 * [taylor]: Taking taylor expansion of 2.0 in k 1.553 * [taylor]: Taking taylor expansion of PI in k 1.554 * [taylor]: Taking taylor expansion of (log n) in k 1.554 * [taylor]: Taking taylor expansion of n in k 1.563 * [taylor]: Taking taylor expansion of 0 in k 1.586 * [taylor]: Taking taylor expansion of 0 in k 1.605 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 1.606 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 1.606 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.606 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.606 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 1.606 * [taylor]: Taking taylor expansion of 0.25 in k 1.606 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.606 * [taylor]: Taking taylor expansion of 1.0 in k 1.606 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.606 * [taylor]: Taking taylor expansion of k in k 1.606 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.606 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.606 * [taylor]: Taking taylor expansion of 2.0 in k 1.606 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.606 * [taylor]: Taking taylor expansion of PI in k 1.606 * [taylor]: Taking taylor expansion of n in k 1.607 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.607 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.607 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.607 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.607 * [taylor]: Taking taylor expansion of 0.25 in n 1.607 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.607 * [taylor]: Taking taylor expansion of 1.0 in n 1.607 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.607 * [taylor]: Taking taylor expansion of k in n 1.607 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.607 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.607 * [taylor]: Taking taylor expansion of 2.0 in n 1.607 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.607 * [taylor]: Taking taylor expansion of PI in n 1.607 * [taylor]: Taking taylor expansion of n in n 1.611 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 1.611 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.611 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.612 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 1.612 * [taylor]: Taking taylor expansion of 0.25 in n 1.612 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.612 * [taylor]: Taking taylor expansion of 1.0 in n 1.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.612 * [taylor]: Taking taylor expansion of k in n 1.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.612 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.612 * [taylor]: Taking taylor expansion of 2.0 in n 1.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.612 * [taylor]: Taking taylor expansion of PI in n 1.612 * [taylor]: Taking taylor expansion of n in n 1.616 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 1.616 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 1.616 * [taylor]: Taking taylor expansion of 0.25 in k 1.616 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 1.616 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.616 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.616 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.616 * [taylor]: Taking taylor expansion of 2.0 in k 1.616 * [taylor]: Taking taylor expansion of PI in k 1.617 * [taylor]: Taking taylor expansion of (log n) in k 1.617 * [taylor]: Taking taylor expansion of n in k 1.617 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.617 * [taylor]: Taking taylor expansion of 1.0 in k 1.617 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.617 * [taylor]: Taking taylor expansion of k in k 1.627 * [taylor]: Taking taylor expansion of 0 in k 1.634 * [taylor]: Taking taylor expansion of 0 in k 1.644 * [taylor]: Taking taylor expansion of 0 in k 1.645 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 1.645 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 1.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.645 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.645 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 1.645 * [taylor]: Taking taylor expansion of 0.25 in k 1.645 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.645 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.645 * [taylor]: Taking taylor expansion of k in k 1.646 * [taylor]: Taking taylor expansion of 1.0 in k 1.646 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.646 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.646 * [taylor]: Taking taylor expansion of -2.0 in k 1.646 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.646 * [taylor]: Taking taylor expansion of PI in k 1.646 * [taylor]: Taking taylor expansion of n in k 1.646 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.647 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.647 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.647 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.647 * [taylor]: Taking taylor expansion of 0.25 in n 1.647 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.647 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.647 * [taylor]: Taking taylor expansion of k in n 1.647 * [taylor]: Taking taylor expansion of 1.0 in n 1.647 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.647 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.647 * [taylor]: Taking taylor expansion of -2.0 in n 1.647 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.647 * [taylor]: Taking taylor expansion of PI in n 1.647 * [taylor]: Taking taylor expansion of n in n 1.651 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.651 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.651 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 1.651 * [taylor]: Taking taylor expansion of 0.25 in n 1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.651 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.651 * [taylor]: Taking taylor expansion of k in n 1.651 * [taylor]: Taking taylor expansion of 1.0 in n 1.651 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.651 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.651 * [taylor]: Taking taylor expansion of -2.0 in n 1.651 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.651 * [taylor]: Taking taylor expansion of PI in n 1.651 * [taylor]: Taking taylor expansion of n in n 1.655 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 1.655 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 1.655 * [taylor]: Taking taylor expansion of 0.25 in k 1.655 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 1.655 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.655 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.655 * [taylor]: Taking taylor expansion of k in k 1.655 * [taylor]: Taking taylor expansion of 1.0 in k 1.655 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.655 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.655 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.655 * [taylor]: Taking taylor expansion of -2.0 in k 1.655 * [taylor]: Taking taylor expansion of PI in k 1.656 * [taylor]: Taking taylor expansion of (log n) in k 1.656 * [taylor]: Taking taylor expansion of n in k 1.671 * [taylor]: Taking taylor expansion of 0 in k 1.678 * [taylor]: Taking taylor expansion of 0 in k 1.687 * [taylor]: Taking taylor expansion of 0 in k 1.688 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.689 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.689 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.689 * [taylor]: Taking taylor expansion of 2.0 in n 1.689 * [taylor]: Taking taylor expansion of (* n PI) in n 1.689 * [taylor]: Taking taylor expansion of n in n 1.689 * [taylor]: Taking taylor expansion of PI in n 1.689 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.689 * [taylor]: Taking taylor expansion of 2.0 in n 1.689 * [taylor]: Taking taylor expansion of (* n PI) in n 1.689 * [taylor]: Taking taylor expansion of n in n 1.689 * [taylor]: Taking taylor expansion of PI in n 1.702 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.702 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.702 * [taylor]: Taking taylor expansion of 2.0 in n 1.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.702 * [taylor]: Taking taylor expansion of PI in n 1.702 * [taylor]: Taking taylor expansion of 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 1.712 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.713 * [taylor]: Taking taylor expansion of -2.0 in n 1.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.713 * [taylor]: Taking taylor expansion of PI in n 1.713 * [taylor]: Taking taylor expansion of n in n 1.713 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.713 * [taylor]: Taking taylor expansion of -2.0 in n 1.713 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.713 * [taylor]: Taking taylor expansion of PI in n 1.713 * [taylor]: Taking taylor expansion of n in n 1.722 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 1.723 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.723 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.723 * [taylor]: Taking taylor expansion of 2.0 in n 1.723 * [taylor]: Taking taylor expansion of (* n PI) in n 1.723 * [taylor]: Taking taylor expansion of n in n 1.723 * [taylor]: Taking taylor expansion of PI in n 1.723 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.723 * [taylor]: Taking taylor expansion of 2.0 in n 1.723 * [taylor]: Taking taylor expansion of (* n PI) in n 1.723 * [taylor]: Taking taylor expansion of n in n 1.723 * [taylor]: Taking taylor expansion of PI in n 1.736 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.736 * [taylor]: Taking taylor expansion of 2.0 in n 1.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.736 * [taylor]: Taking taylor expansion of PI in n 1.736 * [taylor]: Taking taylor expansion of n in n 1.736 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.737 * [taylor]: Taking taylor expansion of 2.0 in n 1.737 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.737 * [taylor]: Taking taylor expansion of PI in n 1.737 * [taylor]: Taking taylor expansion of n in n 1.746 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.746 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.746 * [taylor]: Taking taylor expansion of -2.0 in n 1.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.746 * [taylor]: Taking taylor expansion of PI in n 1.746 * [taylor]: Taking taylor expansion of n in n 1.746 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.746 * [taylor]: Taking taylor expansion of -2.0 in n 1.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.746 * [taylor]: Taking taylor expansion of PI in n 1.746 * [taylor]: Taking taylor expansion of n in n 1.762 * * * [progress]: simplifying candidates 1.765 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* 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(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (/ (/ (- 1.0 k) 2.0) 2) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.835 * * * [progress]: adding candidates to table 2.638 * * [progress]: iteration 3 / 4 2.638 * * * [progress]: picking best candidate 2.663 * * * * [pick]: Picked # 2.663 * * * [progress]: localizing error 2.678 * * * [progress]: generating rewritten candidates 2.678 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.688 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 2.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 2.697 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 2.704 * * * [progress]: generating series expansions 2.705 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.705 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.705 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.705 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.705 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.705 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.705 * [taylor]: Taking taylor expansion of 0.5 in k 2.705 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.705 * [taylor]: Taking taylor expansion of 1.0 in k 2.705 * [taylor]: Taking taylor expansion of k in k 2.705 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.705 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.705 * [taylor]: Taking taylor expansion of 2.0 in k 2.705 * [taylor]: Taking taylor expansion of (* n PI) in k 2.705 * [taylor]: Taking taylor expansion of n in k 2.705 * [taylor]: Taking taylor expansion of PI in k 2.707 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.707 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.707 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.707 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.707 * [taylor]: Taking taylor expansion of 0.5 in n 2.707 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.707 * [taylor]: Taking taylor expansion of 1.0 in n 2.707 * [taylor]: Taking taylor expansion of k in n 2.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.707 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.707 * [taylor]: Taking taylor expansion of 2.0 in n 2.707 * [taylor]: Taking taylor expansion of (* n PI) in n 2.707 * [taylor]: Taking taylor expansion of n in n 2.707 * [taylor]: Taking taylor expansion of PI in n 2.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.712 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.712 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.712 * [taylor]: Taking taylor expansion of 0.5 in n 2.712 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.713 * [taylor]: Taking taylor expansion of 1.0 in n 2.713 * [taylor]: Taking taylor expansion of k in n 2.713 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.713 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.713 * [taylor]: Taking taylor expansion of 2.0 in n 2.713 * [taylor]: Taking taylor expansion of (* n PI) in n 2.713 * [taylor]: Taking taylor expansion of n in n 2.713 * [taylor]: Taking taylor expansion of PI in n 2.718 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.718 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.718 * [taylor]: Taking taylor expansion of 0.5 in k 2.718 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.718 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.718 * [taylor]: Taking taylor expansion of 1.0 in k 2.718 * [taylor]: Taking taylor expansion of k in k 2.718 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.718 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.718 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.718 * [taylor]: Taking taylor expansion of 2.0 in k 2.718 * [taylor]: Taking taylor expansion of PI in k 2.719 * [taylor]: Taking taylor expansion of (log n) in k 2.719 * [taylor]: Taking taylor expansion of n in k 2.733 * [taylor]: Taking taylor expansion of 0 in k 2.749 * [taylor]: Taking taylor expansion of 0 in k 2.768 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.768 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.768 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.768 * [taylor]: Taking taylor expansion of 0.5 in k 2.768 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.768 * [taylor]: Taking taylor expansion of 1.0 in k 2.768 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.768 * [taylor]: Taking taylor expansion of k in k 2.768 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.768 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.768 * [taylor]: Taking taylor expansion of 2.0 in k 2.768 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.768 * [taylor]: Taking taylor expansion of PI in k 2.769 * [taylor]: Taking taylor expansion of n in k 2.770 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.770 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.770 * [taylor]: Taking taylor expansion of 0.5 in n 2.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.770 * [taylor]: Taking taylor expansion of 1.0 in n 2.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.770 * [taylor]: Taking taylor expansion of k in n 2.770 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.770 * [taylor]: Taking taylor expansion of 2.0 in n 2.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.770 * [taylor]: Taking taylor expansion of PI in n 2.770 * [taylor]: Taking taylor expansion of n in n 2.774 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.774 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.774 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.774 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.774 * [taylor]: Taking taylor expansion of 0.5 in n 2.774 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.774 * [taylor]: Taking taylor expansion of 1.0 in n 2.774 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.774 * [taylor]: Taking taylor expansion of k in n 2.774 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.774 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.774 * [taylor]: Taking taylor expansion of 2.0 in n 2.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.774 * [taylor]: Taking taylor expansion of PI in n 2.774 * [taylor]: Taking taylor expansion of n in n 2.778 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.778 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.778 * [taylor]: Taking taylor expansion of 0.5 in k 2.778 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.778 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.778 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.778 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.779 * [taylor]: Taking taylor expansion of 2.0 in k 2.779 * [taylor]: Taking taylor expansion of PI in k 2.779 * [taylor]: Taking taylor expansion of (log n) in k 2.780 * [taylor]: Taking taylor expansion of n in k 2.780 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.780 * [taylor]: Taking taylor expansion of 1.0 in k 2.780 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.780 * [taylor]: Taking taylor expansion of k in k 2.790 * [taylor]: Taking taylor expansion of 0 in k 2.797 * [taylor]: Taking taylor expansion of 0 in k 2.806 * [taylor]: Taking taylor expansion of 0 in k 2.807 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.807 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.808 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.808 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.808 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.808 * [taylor]: Taking taylor expansion of 0.5 in k 2.808 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.808 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.808 * [taylor]: Taking taylor expansion of k in k 2.808 * [taylor]: Taking taylor expansion of 1.0 in k 2.808 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.808 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.808 * [taylor]: Taking taylor expansion of -2.0 in k 2.808 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.808 * [taylor]: Taking taylor expansion of PI in k 2.808 * [taylor]: Taking taylor expansion of n in k 2.809 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.809 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.809 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.809 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.809 * [taylor]: Taking taylor expansion of 0.5 in n 2.809 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.809 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.809 * [taylor]: Taking taylor expansion of k in n 2.809 * [taylor]: Taking taylor expansion of 1.0 in n 2.809 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.809 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.809 * [taylor]: Taking taylor expansion of -2.0 in n 2.809 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.809 * [taylor]: Taking taylor expansion of PI in n 2.809 * [taylor]: Taking taylor expansion of n in n 2.813 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.813 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.813 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.813 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.813 * [taylor]: Taking taylor expansion of 0.5 in n 2.813 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.813 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.813 * [taylor]: Taking taylor expansion of k in n 2.813 * [taylor]: Taking taylor expansion of 1.0 in n 2.813 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.813 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.813 * [taylor]: Taking taylor expansion of -2.0 in n 2.813 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.813 * [taylor]: Taking taylor expansion of PI in n 2.813 * [taylor]: Taking taylor expansion of n in n 2.820 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.820 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.820 * [taylor]: Taking taylor expansion of 0.5 in k 2.820 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.820 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.820 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.820 * [taylor]: Taking taylor expansion of k in k 2.821 * [taylor]: Taking taylor expansion of 1.0 in k 2.821 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.821 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.821 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.821 * [taylor]: Taking taylor expansion of -2.0 in k 2.821 * [taylor]: Taking taylor expansion of PI in k 2.822 * [taylor]: Taking taylor expansion of (log n) in k 2.822 * [taylor]: Taking taylor expansion of n in k 2.831 * [taylor]: Taking taylor expansion of 0 in k 2.838 * [taylor]: Taking taylor expansion of 0 in k 2.847 * [taylor]: Taking taylor expansion of 0 in k 2.848 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.849 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.849 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.849 * [taylor]: Taking taylor expansion of 2.0 in n 2.849 * [taylor]: Taking taylor expansion of (* n PI) in n 2.849 * [taylor]: Taking taylor expansion of n in n 2.849 * [taylor]: Taking taylor expansion of PI in n 2.849 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.849 * [taylor]: Taking taylor expansion of 2.0 in n 2.849 * [taylor]: Taking taylor expansion of (* n PI) in n 2.849 * [taylor]: Taking taylor expansion of n in n 2.849 * [taylor]: Taking taylor expansion of PI in n 2.861 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.861 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.861 * [taylor]: Taking taylor expansion of 2.0 in n 2.861 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.861 * [taylor]: Taking taylor expansion of PI in n 2.861 * [taylor]: Taking taylor expansion of n in n 2.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.862 * [taylor]: Taking taylor expansion of 2.0 in n 2.862 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.862 * [taylor]: Taking taylor expansion of PI in n 2.862 * [taylor]: Taking taylor expansion of n in n 2.871 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.871 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.871 * [taylor]: Taking taylor expansion of -2.0 in n 2.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.871 * [taylor]: Taking taylor expansion of PI in n 2.871 * [taylor]: Taking taylor expansion of n in n 2.871 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.871 * [taylor]: Taking taylor expansion of -2.0 in n 2.871 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.871 * [taylor]: Taking taylor expansion of PI in n 2.872 * [taylor]: Taking taylor expansion of n in n 2.881 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.881 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.881 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.881 * [taylor]: Taking taylor expansion of 1.0 in k 2.881 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.881 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.881 * [taylor]: Taking taylor expansion of k in k 2.882 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.882 * [taylor]: Taking taylor expansion of 1.0 in k 2.882 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.882 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.882 * [taylor]: Taking taylor expansion of k in k 2.894 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.894 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.894 * [taylor]: Taking taylor expansion of 1.0 in k 2.894 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.894 * [taylor]: Taking taylor expansion of k in k 2.895 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.895 * [taylor]: Taking taylor expansion of 1.0 in k 2.895 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.895 * [taylor]: Taking taylor expansion of k in k 2.909 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.909 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.909 * [taylor]: Taking taylor expansion of 1.0 in k 2.909 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.909 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.909 * [taylor]: Taking taylor expansion of -1 in k 2.909 * [taylor]: Taking taylor expansion of k in k 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 2.923 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 2.923 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.923 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.923 * [taylor]: Taking taylor expansion of 1.0 in k 2.923 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.923 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.923 * [taylor]: Taking taylor expansion of k in k 2.924 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.925 * [taylor]: Taking taylor expansion of 1.0 in k 2.925 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.925 * [taylor]: Taking taylor expansion of k in k 2.936 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.936 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.936 * [taylor]: Taking taylor expansion of 1.0 in k 2.936 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.936 * [taylor]: Taking taylor expansion of k in k 2.937 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.937 * [taylor]: Taking taylor expansion of 1.0 in k 2.937 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.937 * [taylor]: Taking taylor expansion of k in k 2.948 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.948 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.948 * [taylor]: Taking taylor expansion of 1.0 in k 2.948 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.948 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.948 * [taylor]: Taking taylor expansion of -1 in k 2.948 * [taylor]: Taking taylor expansion of k in k 2.950 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.950 * [taylor]: Taking taylor expansion of 1.0 in k 2.950 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.950 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.950 * [taylor]: Taking taylor expansion of -1 in k 2.950 * [taylor]: Taking taylor expansion of k in k 2.962 * * * [progress]: simplifying candidates 2.964 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (+ (* 0.125 (* (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))))) 2.971 * * [simplify]: iteration 0 : 579 enodes (cost 912 ) 2.981 * * [simplify]: iteration 1 : 2248 enodes (cost 843 ) 3.020 * * [simplify]: iteration 2 : 5001 enodes (cost 807 ) 3.024 * [simplify]: Simplified to: (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 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)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (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) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (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) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (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) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (/ +nan.0 k) (- (fma +nan.0 1 (/ +nan.0 (pow k 2))))) 3.025 * * * [progress]: adding candidates to table 3.459 * * [progress]: iteration 4 / 4 3.459 * * * [progress]: picking best candidate 3.486 * * * * [pick]: Picked # 3.486 * * * [progress]: localizing error 3.503 * * * [progress]: generating rewritten candidates 3.503 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 3.517 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1 1) 3.530 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 3.534 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 3.553 * * * [progress]: generating series expansions 3.553 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 3.554 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.554 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.554 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.554 * [taylor]: Taking taylor expansion of 0.25 in k 3.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.554 * [taylor]: Taking taylor expansion of 1.0 in k 3.554 * [taylor]: Taking taylor expansion of k in k 3.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.554 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.554 * [taylor]: Taking taylor expansion of 2.0 in k 3.554 * [taylor]: Taking taylor expansion of (* n PI) in k 3.554 * [taylor]: Taking taylor expansion of n in k 3.554 * [taylor]: Taking taylor expansion of PI in k 3.555 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.555 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.555 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.555 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.555 * [taylor]: Taking taylor expansion of 0.25 in n 3.555 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.555 * [taylor]: Taking taylor expansion of 1.0 in n 3.555 * [taylor]: Taking taylor expansion of k in n 3.555 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.555 * [taylor]: Taking taylor expansion of 2.0 in n 3.555 * [taylor]: Taking taylor expansion of (* n PI) in n 3.555 * [taylor]: Taking taylor expansion of n in n 3.555 * [taylor]: Taking taylor expansion of PI in n 3.561 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.561 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.561 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.561 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.561 * [taylor]: Taking taylor expansion of 0.25 in n 3.561 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.561 * [taylor]: Taking taylor expansion of 1.0 in n 3.561 * [taylor]: Taking taylor expansion of k in n 3.561 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.561 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.561 * [taylor]: Taking taylor expansion of 2.0 in n 3.561 * [taylor]: Taking taylor expansion of (* n PI) in n 3.561 * [taylor]: Taking taylor expansion of n in n 3.561 * [taylor]: Taking taylor expansion of PI in n 3.567 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.567 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.567 * [taylor]: Taking taylor expansion of 0.25 in k 3.567 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.567 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.567 * [taylor]: Taking taylor expansion of 1.0 in k 3.567 * [taylor]: Taking taylor expansion of k in k 3.567 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.567 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.567 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.567 * [taylor]: Taking taylor expansion of 2.0 in k 3.567 * [taylor]: Taking taylor expansion of PI in k 3.568 * [taylor]: Taking taylor expansion of (log n) in k 3.568 * [taylor]: Taking taylor expansion of n in k 3.578 * [taylor]: Taking taylor expansion of 0 in k 3.594 * [taylor]: Taking taylor expansion of 0 in k 3.614 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.614 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.614 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.614 * [taylor]: Taking taylor expansion of 0.25 in k 3.614 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.614 * [taylor]: Taking taylor expansion of 1.0 in k 3.614 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.614 * [taylor]: Taking taylor expansion of k in k 3.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.614 * [taylor]: Taking taylor expansion of 2.0 in k 3.614 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.614 * [taylor]: Taking taylor expansion of PI in k 3.614 * [taylor]: Taking taylor expansion of n in k 3.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.615 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.615 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.615 * [taylor]: Taking taylor expansion of 0.25 in n 3.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.615 * [taylor]: Taking taylor expansion of 1.0 in n 3.615 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.615 * [taylor]: Taking taylor expansion of k in n 3.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.616 * [taylor]: Taking taylor expansion of 2.0 in n 3.616 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.616 * [taylor]: Taking taylor expansion of PI in n 3.616 * [taylor]: Taking taylor expansion of n in n 3.619 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.619 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.619 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.619 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.619 * [taylor]: Taking taylor expansion of 0.25 in n 3.619 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.619 * [taylor]: Taking taylor expansion of 1.0 in n 3.619 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.619 * [taylor]: Taking taylor expansion of k in n 3.620 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.620 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.620 * [taylor]: Taking taylor expansion of 2.0 in n 3.620 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.620 * [taylor]: Taking taylor expansion of PI in n 3.620 * [taylor]: Taking taylor expansion of n in n 3.623 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.623 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.623 * [taylor]: Taking taylor expansion of 0.25 in k 3.623 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.624 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.624 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.624 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.624 * [taylor]: Taking taylor expansion of 2.0 in k 3.624 * [taylor]: Taking taylor expansion of PI in k 3.625 * [taylor]: Taking taylor expansion of (log n) in k 3.625 * [taylor]: Taking taylor expansion of n in k 3.625 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.625 * [taylor]: Taking taylor expansion of 1.0 in k 3.625 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.625 * [taylor]: Taking taylor expansion of k in k 3.635 * [taylor]: Taking taylor expansion of 0 in k 3.645 * [taylor]: Taking taylor expansion of 0 in k 3.655 * [taylor]: Taking taylor expansion of 0 in k 3.656 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.656 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.656 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.656 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.656 * [taylor]: Taking taylor expansion of 0.25 in k 3.656 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.656 * [taylor]: Taking taylor expansion of k in k 3.656 * [taylor]: Taking taylor expansion of 1.0 in k 3.656 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.656 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.656 * [taylor]: Taking taylor expansion of -2.0 in k 3.656 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.656 * [taylor]: Taking taylor expansion of PI in k 3.656 * [taylor]: Taking taylor expansion of n in k 3.657 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.657 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.657 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.657 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.657 * [taylor]: Taking taylor expansion of 0.25 in n 3.657 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.657 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.657 * [taylor]: Taking taylor expansion of k in n 3.657 * [taylor]: Taking taylor expansion of 1.0 in n 3.658 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.658 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.658 * [taylor]: Taking taylor expansion of -2.0 in n 3.658 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.658 * [taylor]: Taking taylor expansion of PI in n 3.658 * [taylor]: Taking taylor expansion of n in n 3.661 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.661 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.661 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.661 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.661 * [taylor]: Taking taylor expansion of 0.25 in n 3.661 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.661 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.661 * [taylor]: Taking taylor expansion of k in n 3.661 * [taylor]: Taking taylor expansion of 1.0 in n 3.661 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.662 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.662 * [taylor]: Taking taylor expansion of -2.0 in n 3.662 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.662 * [taylor]: Taking taylor expansion of PI in n 3.662 * [taylor]: Taking taylor expansion of n in n 3.665 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.665 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.665 * [taylor]: Taking taylor expansion of 0.25 in k 3.665 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.665 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.665 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.665 * [taylor]: Taking taylor expansion of k in k 3.666 * [taylor]: Taking taylor expansion of 1.0 in k 3.666 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.666 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.666 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.666 * [taylor]: Taking taylor expansion of -2.0 in k 3.666 * [taylor]: Taking taylor expansion of PI in k 3.667 * [taylor]: Taking taylor expansion of (log n) in k 3.667 * [taylor]: Taking taylor expansion of n in k 3.676 * [taylor]: Taking taylor expansion of 0 in k 3.683 * [taylor]: Taking taylor expansion of 0 in k 3.693 * [taylor]: Taking taylor expansion of 0 in k 3.694 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1 1) 3.694 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 3.694 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.694 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.694 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.694 * [taylor]: Taking taylor expansion of 0.25 in k 3.694 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.694 * [taylor]: Taking taylor expansion of 1.0 in k 3.694 * [taylor]: Taking taylor expansion of k in k 3.694 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.694 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.694 * [taylor]: Taking taylor expansion of 2.0 in k 3.694 * [taylor]: Taking taylor expansion of (* n PI) in k 3.694 * [taylor]: Taking taylor expansion of n in k 3.694 * [taylor]: Taking taylor expansion of PI in k 3.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.695 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.695 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.695 * [taylor]: Taking taylor expansion of 0.25 in n 3.695 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.695 * [taylor]: Taking taylor expansion of 1.0 in n 3.695 * [taylor]: Taking taylor expansion of k in n 3.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.695 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.695 * [taylor]: Taking taylor expansion of 2.0 in n 3.695 * [taylor]: Taking taylor expansion of (* n PI) in n 3.695 * [taylor]: Taking taylor expansion of n in n 3.695 * [taylor]: Taking taylor expansion of PI in n 3.701 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.701 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.701 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.701 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.701 * [taylor]: Taking taylor expansion of 0.25 in n 3.701 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.701 * [taylor]: Taking taylor expansion of 1.0 in n 3.701 * [taylor]: Taking taylor expansion of k in n 3.701 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.701 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.701 * [taylor]: Taking taylor expansion of 2.0 in n 3.701 * [taylor]: Taking taylor expansion of (* n PI) in n 3.701 * [taylor]: Taking taylor expansion of n in n 3.701 * [taylor]: Taking taylor expansion of PI in n 3.707 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.707 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.707 * [taylor]: Taking taylor expansion of 0.25 in k 3.707 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.707 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.707 * [taylor]: Taking taylor expansion of 1.0 in k 3.707 * [taylor]: Taking taylor expansion of k in k 3.707 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.707 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.707 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.707 * [taylor]: Taking taylor expansion of 2.0 in k 3.707 * [taylor]: Taking taylor expansion of PI in k 3.708 * [taylor]: Taking taylor expansion of (log n) in k 3.708 * [taylor]: Taking taylor expansion of n in k 3.717 * [taylor]: Taking taylor expansion of 0 in k 3.737 * [taylor]: Taking taylor expansion of 0 in k 3.756 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 3.756 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.756 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.756 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.756 * [taylor]: Taking taylor expansion of 0.25 in k 3.756 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.756 * [taylor]: Taking taylor expansion of 1.0 in k 3.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.756 * [taylor]: Taking taylor expansion of k in k 3.756 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.756 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.756 * [taylor]: Taking taylor expansion of 2.0 in k 3.756 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.756 * [taylor]: Taking taylor expansion of PI in k 3.757 * [taylor]: Taking taylor expansion of n in k 3.758 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.758 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.758 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.758 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.758 * [taylor]: Taking taylor expansion of 0.25 in n 3.758 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.758 * [taylor]: Taking taylor expansion of 1.0 in n 3.758 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.758 * [taylor]: Taking taylor expansion of k in n 3.758 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.758 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.758 * [taylor]: Taking taylor expansion of 2.0 in n 3.758 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.758 * [taylor]: Taking taylor expansion of PI in n 3.758 * [taylor]: Taking taylor expansion of n in n 3.762 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.762 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.762 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.762 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.762 * [taylor]: Taking taylor expansion of 0.25 in n 3.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.762 * [taylor]: Taking taylor expansion of 1.0 in n 3.762 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.762 * [taylor]: Taking taylor expansion of k in n 3.762 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.762 * [taylor]: Taking taylor expansion of 2.0 in n 3.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.762 * [taylor]: Taking taylor expansion of PI in n 3.762 * [taylor]: Taking taylor expansion of n in n 3.766 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.766 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.766 * [taylor]: Taking taylor expansion of 0.25 in k 3.766 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.766 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.766 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.766 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.766 * [taylor]: Taking taylor expansion of 2.0 in k 3.766 * [taylor]: Taking taylor expansion of PI in k 3.767 * [taylor]: Taking taylor expansion of (log n) in k 3.767 * [taylor]: Taking taylor expansion of n in k 3.767 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.767 * [taylor]: Taking taylor expansion of 1.0 in k 3.767 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.767 * [taylor]: Taking taylor expansion of k in k 3.777 * [taylor]: Taking taylor expansion of 0 in k 3.785 * [taylor]: Taking taylor expansion of 0 in k 3.794 * [taylor]: Taking taylor expansion of 0 in k 3.795 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 3.795 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.795 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.795 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.795 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.795 * [taylor]: Taking taylor expansion of 0.25 in k 3.795 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.795 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.795 * [taylor]: Taking taylor expansion of k in k 3.796 * [taylor]: Taking taylor expansion of 1.0 in k 3.796 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.796 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.796 * [taylor]: Taking taylor expansion of -2.0 in k 3.796 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.796 * [taylor]: Taking taylor expansion of PI in k 3.796 * [taylor]: Taking taylor expansion of n in k 3.797 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.797 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.797 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.797 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.797 * [taylor]: Taking taylor expansion of 0.25 in n 3.797 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.797 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.797 * [taylor]: Taking taylor expansion of k in n 3.797 * [taylor]: Taking taylor expansion of 1.0 in n 3.797 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.797 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.797 * [taylor]: Taking taylor expansion of -2.0 in n 3.797 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.797 * [taylor]: Taking taylor expansion of PI in n 3.797 * [taylor]: Taking taylor expansion of n in n 3.801 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.801 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.801 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.801 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.801 * [taylor]: Taking taylor expansion of 0.25 in n 3.801 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.801 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.801 * [taylor]: Taking taylor expansion of k in n 3.801 * [taylor]: Taking taylor expansion of 1.0 in n 3.801 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.801 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.801 * [taylor]: Taking taylor expansion of -2.0 in n 3.801 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.801 * [taylor]: Taking taylor expansion of PI in n 3.801 * [taylor]: Taking taylor expansion of n in n 3.805 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 3.805 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 3.805 * [taylor]: Taking taylor expansion of 0.25 in k 3.805 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 3.805 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.805 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.805 * [taylor]: Taking taylor expansion of k in k 3.805 * [taylor]: Taking taylor expansion of 1.0 in k 3.805 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.805 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.805 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.805 * [taylor]: Taking taylor expansion of -2.0 in k 3.805 * [taylor]: Taking taylor expansion of PI in k 3.806 * [taylor]: Taking taylor expansion of (log n) in k 3.806 * [taylor]: Taking taylor expansion of n in k 3.819 * [taylor]: Taking taylor expansion of 0 in k 3.826 * [taylor]: Taking taylor expansion of 0 in k 3.835 * [taylor]: Taking taylor expansion of 0 in k 3.836 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 3.837 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 3) in (n k) around 0 3.837 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 3) in k 3.837 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.837 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.837 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.837 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.837 * [taylor]: Taking taylor expansion of 0.25 in k 3.837 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.837 * [taylor]: Taking taylor expansion of 1.0 in k 3.837 * [taylor]: Taking taylor expansion of k in k 3.837 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.837 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.837 * [taylor]: Taking taylor expansion of 2.0 in k 3.837 * [taylor]: Taking taylor expansion of (* n PI) in k 3.837 * [taylor]: Taking taylor expansion of n in k 3.837 * [taylor]: Taking taylor expansion of PI in k 3.838 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 3) in n 3.838 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.838 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.838 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.838 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.838 * [taylor]: Taking taylor expansion of 0.25 in n 3.838 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.838 * [taylor]: Taking taylor expansion of 1.0 in n 3.838 * [taylor]: Taking taylor expansion of k in n 3.838 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.838 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.838 * [taylor]: Taking taylor expansion of 2.0 in n 3.838 * [taylor]: Taking taylor expansion of (* n PI) in n 3.838 * [taylor]: Taking taylor expansion of n in n 3.838 * [taylor]: Taking taylor expansion of PI in n 3.844 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) 3) in n 3.844 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.844 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.844 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.844 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.844 * [taylor]: Taking taylor expansion of 0.25 in n 3.844 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.844 * [taylor]: Taking taylor expansion of 1.0 in n 3.844 * [taylor]: Taking taylor expansion of k in n 3.844 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.844 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.844 * [taylor]: Taking taylor expansion of 2.0 in n 3.844 * [taylor]: Taking taylor expansion of (* n PI) in n 3.844 * [taylor]: Taking taylor expansion of n in n 3.844 * [taylor]: Taking taylor expansion of PI in n 3.853 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 3) in k 3.853 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 3.853 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 3.853 * [taylor]: Taking taylor expansion of 0.25 in k 3.853 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 3.853 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.853 * [taylor]: Taking taylor expansion of 1.0 in k 3.853 * [taylor]: Taking taylor expansion of k in k 3.853 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 3.853 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.853 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.853 * [taylor]: Taking taylor expansion of 2.0 in k 3.853 * [taylor]: Taking taylor expansion of PI in k 3.854 * [taylor]: Taking taylor expansion of (log n) in k 3.854 * [taylor]: Taking taylor expansion of n in k 3.870 * [taylor]: Taking taylor expansion of 0 in k 3.905 * [taylor]: Taking taylor expansion of 0 in k 3.954 * [approximate]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 3) in (n k) around 0 3.954 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 3) in k 3.954 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.954 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.954 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.954 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.954 * [taylor]: Taking taylor expansion of 0.25 in k 3.954 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.954 * [taylor]: Taking taylor expansion of 1.0 in k 3.954 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.954 * [taylor]: Taking taylor expansion of k in k 3.954 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.954 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.954 * [taylor]: Taking taylor expansion of 2.0 in k 3.954 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.954 * [taylor]: Taking taylor expansion of PI in k 3.954 * [taylor]: Taking taylor expansion of n in k 3.955 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 3) in n 3.955 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.955 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.955 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.955 * [taylor]: Taking taylor expansion of 0.25 in n 3.955 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.955 * [taylor]: Taking taylor expansion of 1.0 in n 3.955 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.955 * [taylor]: Taking taylor expansion of k in n 3.955 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.955 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.955 * [taylor]: Taking taylor expansion of 2.0 in n 3.955 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.955 * [taylor]: Taking taylor expansion of PI in n 3.955 * [taylor]: Taking taylor expansion of n in n 3.959 * [taylor]: Taking taylor expansion of (pow (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) 3) in n 3.959 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.959 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.959 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.959 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.959 * [taylor]: Taking taylor expansion of 0.25 in n 3.959 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.959 * [taylor]: Taking taylor expansion of 1.0 in n 3.959 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.959 * [taylor]: Taking taylor expansion of k in n 3.959 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.959 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.959 * [taylor]: Taking taylor expansion of 2.0 in n 3.959 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.959 * [taylor]: Taking taylor expansion of PI in n 3.959 * [taylor]: Taking taylor expansion of n in n 3.967 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) 3) in k 3.967 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 3.967 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 3.967 * [taylor]: Taking taylor expansion of 0.25 in k 3.967 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 3.967 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.967 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.967 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.967 * [taylor]: Taking taylor expansion of 2.0 in k 3.967 * [taylor]: Taking taylor expansion of PI in k 3.968 * [taylor]: Taking taylor expansion of (log n) in k 3.968 * [taylor]: Taking taylor expansion of n in k 3.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.968 * [taylor]: Taking taylor expansion of 1.0 in k 3.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.968 * [taylor]: Taking taylor expansion of k in k 3.985 * [taylor]: Taking taylor expansion of 0 in k 4.004 * [taylor]: Taking taylor expansion of 0 in k 4.021 * [taylor]: Taking taylor expansion of 0 in k 4.023 * [approximate]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 3) in (n k) around 0 4.023 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 3) in k 4.023 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 4.023 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.023 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.023 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 4.023 * [taylor]: Taking taylor expansion of 0.25 in k 4.023 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.023 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.023 * [taylor]: Taking taylor expansion of k in k 4.023 * [taylor]: Taking taylor expansion of 1.0 in k 4.023 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.023 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.023 * [taylor]: Taking taylor expansion of -2.0 in k 4.023 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.023 * [taylor]: Taking taylor expansion of PI in k 4.023 * [taylor]: Taking taylor expansion of n in k 4.024 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 3) in n 4.024 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 4.024 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.024 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.024 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 4.024 * [taylor]: Taking taylor expansion of 0.25 in n 4.024 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.024 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.024 * [taylor]: Taking taylor expansion of k in n 4.024 * [taylor]: Taking taylor expansion of 1.0 in n 4.024 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.024 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.024 * [taylor]: Taking taylor expansion of -2.0 in n 4.024 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.024 * [taylor]: Taking taylor expansion of PI in n 4.024 * [taylor]: Taking taylor expansion of n in n 4.028 * [taylor]: Taking taylor expansion of (pow (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) 3) in n 4.028 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 4.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.028 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.028 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 4.028 * [taylor]: Taking taylor expansion of 0.25 in n 4.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.028 * [taylor]: Taking taylor expansion of k in n 4.028 * [taylor]: Taking taylor expansion of 1.0 in n 4.028 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.028 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.028 * [taylor]: Taking taylor expansion of -2.0 in n 4.028 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.028 * [taylor]: Taking taylor expansion of PI in n 4.028 * [taylor]: Taking taylor expansion of n in n 4.035 * [taylor]: Taking taylor expansion of (pow (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) 3) in k 4.035 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.035 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.035 * [taylor]: Taking taylor expansion of 0.25 in k 4.035 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.035 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.036 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.036 * [taylor]: Taking taylor expansion of k in k 4.036 * [taylor]: Taking taylor expansion of 1.0 in k 4.036 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.036 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.036 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.036 * [taylor]: Taking taylor expansion of -2.0 in k 4.036 * [taylor]: Taking taylor expansion of PI in k 4.037 * [taylor]: Taking taylor expansion of (log n) in k 4.037 * [taylor]: Taking taylor expansion of n in k 4.053 * [taylor]: Taking taylor expansion of 0 in k 4.067 * [taylor]: Taking taylor expansion of 0 in k 4.090 * [taylor]: Taking taylor expansion of 0 in k 4.091 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.091 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in (n k) around 0 4.091 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 4.091 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.091 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.092 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 4.092 * [taylor]: Taking taylor expansion of 0.25 in k 4.092 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.092 * [taylor]: Taking taylor expansion of 1.0 in k 4.092 * [taylor]: Taking taylor expansion of k in k 4.092 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.092 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.092 * [taylor]: Taking taylor expansion of 2.0 in k 4.092 * [taylor]: Taking taylor expansion of (* n PI) in k 4.092 * [taylor]: Taking taylor expansion of n in k 4.092 * [taylor]: Taking taylor expansion of PI in k 4.093 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 4.093 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.093 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.093 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 4.093 * [taylor]: Taking taylor expansion of 0.25 in n 4.093 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.093 * [taylor]: Taking taylor expansion of 1.0 in n 4.093 * [taylor]: Taking taylor expansion of k in n 4.093 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.093 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.093 * [taylor]: Taking taylor expansion of 2.0 in n 4.093 * [taylor]: Taking taylor expansion of (* n PI) in n 4.093 * [taylor]: Taking taylor expansion of n in n 4.093 * [taylor]: Taking taylor expansion of PI in n 4.098 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 4.098 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.098 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.099 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 4.099 * [taylor]: Taking taylor expansion of 0.25 in n 4.099 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.099 * [taylor]: Taking taylor expansion of 1.0 in n 4.099 * [taylor]: Taking taylor expansion of k in n 4.099 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.099 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.099 * [taylor]: Taking taylor expansion of 2.0 in n 4.099 * [taylor]: Taking taylor expansion of (* n PI) in n 4.099 * [taylor]: Taking taylor expansion of n in n 4.099 * [taylor]: Taking taylor expansion of PI in n 4.104 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.104 * [taylor]: Taking taylor expansion of (* 0.25 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.104 * [taylor]: Taking taylor expansion of 0.25 in k 4.104 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.104 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.104 * [taylor]: Taking taylor expansion of 1.0 in k 4.104 * [taylor]: Taking taylor expansion of k in k 4.104 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.105 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.105 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.105 * [taylor]: Taking taylor expansion of 2.0 in k 4.105 * [taylor]: Taking taylor expansion of PI in k 4.106 * [taylor]: Taking taylor expansion of (log n) in k 4.106 * [taylor]: Taking taylor expansion of n in k 4.115 * [taylor]: Taking taylor expansion of 0 in k 4.131 * [taylor]: Taking taylor expansion of 0 in k 4.151 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in (n k) around 0 4.151 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 4.151 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.151 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.151 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 4.151 * [taylor]: Taking taylor expansion of 0.25 in k 4.151 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.151 * [taylor]: Taking taylor expansion of 1.0 in k 4.151 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.151 * [taylor]: Taking taylor expansion of k in k 4.152 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.152 * [taylor]: Taking taylor expansion of 2.0 in k 4.152 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.152 * [taylor]: Taking taylor expansion of PI in k 4.152 * [taylor]: Taking taylor expansion of n in k 4.153 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 4.153 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.153 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.153 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 4.153 * [taylor]: Taking taylor expansion of 0.25 in n 4.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.153 * [taylor]: Taking taylor expansion of 1.0 in n 4.153 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.153 * [taylor]: Taking taylor expansion of k in n 4.153 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.153 * [taylor]: Taking taylor expansion of 2.0 in n 4.153 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.153 * [taylor]: Taking taylor expansion of PI in n 4.153 * [taylor]: Taking taylor expansion of n in n 4.157 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 4.157 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.157 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.157 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 4.157 * [taylor]: Taking taylor expansion of 0.25 in n 4.157 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.157 * [taylor]: Taking taylor expansion of 1.0 in n 4.157 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.157 * [taylor]: Taking taylor expansion of k in n 4.157 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.157 * [taylor]: Taking taylor expansion of 2.0 in n 4.157 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.157 * [taylor]: Taking taylor expansion of PI in n 4.157 * [taylor]: Taking taylor expansion of n in n 4.161 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.161 * [taylor]: Taking taylor expansion of (* 0.25 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.161 * [taylor]: Taking taylor expansion of 0.25 in k 4.161 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.161 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.161 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.161 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.161 * [taylor]: Taking taylor expansion of 2.0 in k 4.161 * [taylor]: Taking taylor expansion of PI in k 4.162 * [taylor]: Taking taylor expansion of (log n) in k 4.162 * [taylor]: Taking taylor expansion of n in k 4.162 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.162 * [taylor]: Taking taylor expansion of 1.0 in k 4.162 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.162 * [taylor]: Taking taylor expansion of k in k 4.173 * [taylor]: Taking taylor expansion of 0 in k 4.185 * [taylor]: Taking taylor expansion of 0 in k 4.195 * [taylor]: Taking taylor expansion of 0 in k 4.196 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in (n k) around 0 4.196 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 4.196 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.196 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.196 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 4.196 * [taylor]: Taking taylor expansion of 0.25 in k 4.196 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.196 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.196 * [taylor]: Taking taylor expansion of k in k 4.197 * [taylor]: Taking taylor expansion of 1.0 in k 4.197 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.197 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.197 * [taylor]: Taking taylor expansion of -2.0 in k 4.197 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.197 * [taylor]: Taking taylor expansion of PI in k 4.197 * [taylor]: Taking taylor expansion of n in k 4.198 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 4.198 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.198 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.198 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 4.198 * [taylor]: Taking taylor expansion of 0.25 in n 4.198 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.198 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.198 * [taylor]: Taking taylor expansion of k in n 4.198 * [taylor]: Taking taylor expansion of 1.0 in n 4.198 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.198 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.198 * [taylor]: Taking taylor expansion of -2.0 in n 4.198 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.198 * [taylor]: Taking taylor expansion of PI in n 4.198 * [taylor]: Taking taylor expansion of n in n 4.202 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 4.202 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.202 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.202 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 4.202 * [taylor]: Taking taylor expansion of 0.25 in n 4.202 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.202 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.202 * [taylor]: Taking taylor expansion of k in n 4.202 * [taylor]: Taking taylor expansion of 1.0 in n 4.202 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.202 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.202 * [taylor]: Taking taylor expansion of -2.0 in n 4.202 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.202 * [taylor]: Taking taylor expansion of PI in n 4.202 * [taylor]: Taking taylor expansion of n in n 4.206 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.206 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.206 * [taylor]: Taking taylor expansion of 0.25 in k 4.206 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.206 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.206 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.206 * [taylor]: Taking taylor expansion of k in k 4.206 * [taylor]: Taking taylor expansion of 1.0 in k 4.206 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.206 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.206 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.206 * [taylor]: Taking taylor expansion of -2.0 in k 4.206 * [taylor]: Taking taylor expansion of PI in k 4.207 * [taylor]: Taking taylor expansion of (log n) in k 4.207 * [taylor]: Taking taylor expansion of n in k 4.217 * [taylor]: Taking taylor expansion of 0 in k 4.225 * [taylor]: Taking taylor expansion of 0 in k 4.234 * [taylor]: Taking taylor expansion of 0 in k 4.235 * * * [progress]: simplifying candidates 4.238 * [simplify]: Simplifying using # : (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 1) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (* 1 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (/ (- 1.0 k) 2.0) 2)) (cbrt (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (* 2.0 PI) n) (sqrt (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (sqrt (/ (- 1.0 k) 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (sqrt (- 1.0 k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* 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(sqrt k)) (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ (+ (sqrt 1.0) (sqrt k)) 1) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (* (cbrt 2.0) (cbrt 2.0))) 1)) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) (sqrt 2))) (pow (* (* 2.0 PI) n) (/ (/ 1 (sqrt 2.0)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (* (cbrt 2) (cbrt 2)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) (sqrt 2))) (pow (* (* 2.0 PI) n) (- 1.0 k)) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow n (/ (/ (- 1.0 k) 2.0) 2)) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) (expm1 (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (log1p (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (/ (/ (- 1.0 k) 2.0) 2/3) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (cbrt 3) (cbrt 3))) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt 3)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) 1 (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* (/ (/ (- 1.0 k) 2.0) 2/3) (log (* (* 2.0 PI) n))) (exp (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) 3) (pow (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (pow n (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) 1 (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) 3) (pow (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) 3) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (sqrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3/2) (expm1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log1p (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2)) (exp (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow 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))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 1 (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)) (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))) (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) (/ (/ (- 1.0 k) 2.0) 2)) (pow 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))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 1 (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)) (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)))) (cbrt (sqrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3))) (cbrt (sqrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3))) 1 (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 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 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 (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))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (fma (- 0.75) (fma (* k (log (* 2.0 PI))) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 3) (* k (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 3) (log n)))) (fma 0.28125 (* (* (pow k 2) (pow (log n) 2)) (pow (pow (* (* 2.0 PI) n) 0.25) 3)) (+ (fma 0.5625 (* (pow k 2) (* (log (* 2.0 PI)) (* (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 3) (log n)))) (* 0.28125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (pow (exp (* 0.25 (+ (log (* 2.0 PI)) (log n)))) 3))))) (pow (pow (* (* 2.0 PI) n) 0.25) 3)))) (pow (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) 3) (pow (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 3) (fma (- 0.25) (fma (* k (log (* 2.0 PI))) (pow (exp 0.25) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.03125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.25)) (pow (log (* 2.0 PI)) 2) (fma (* 0.0625 (pow k 2)) (* (* (log (* 2.0 PI)) (log n)) (pow (* (* 2.0 PI) n) 0.25)) (+ (* (* (* (pow k 2) (pow (exp 0.25) (log (* (* 2.0 PI) n)))) (pow (log n) 2)) 0.03125) (pow (* (* 2.0 PI) n) 0.25))))) (pow (* (* 2.0 PI) n) (* 0.25 (- 1.0 k))) (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 4.327 * * * [progress]: adding candidates to table 5.194 * [progress]: [Phase 3 of 3] Extracting. 5.194 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 5.197 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.197 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 5.239 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 5.277 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 5.317 * * * [regime]: Found split indices: #