17.510 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.076 * [progress]: [Phase 2 of 3] Improving. 0.076 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.077 * * [simplify]: iteration 0 : 13 enodes (cost 16 ) 0.078 * * [simplify]: iteration 1 : 29 enodes (cost 16 ) 0.082 * * [simplify]: iteration 2 : 57 enodes (cost 16 ) 0.094 * * [simplify]: iteration 3 : 113 enodes (cost 16 ) 0.114 * * [simplify]: iteration 4 : 291 enodes (cost 16 ) 0.236 * * [simplify]: iteration 5 : 803 enodes (cost 16 ) 1.087 * * [simplify]: iteration 6 : 3027 enodes (cost 16 ) 2.169 * * [simplify]: iteration done : 5000 enodes (cost 16 ) 2.169 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 2.170 * * [progress]: iteration 1 / 4 2.170 * * * [progress]: picking best candidate 2.172 * * * * [pick]: Picked # 2.172 * * * [progress]: localizing error 2.185 * * * [progress]: generating rewritten candidates 2.185 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.194 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.197 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.203 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.226 * * * [progress]: generating series expansions 2.226 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.227 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.227 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.227 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.227 * [taylor]: Taking taylor expansion of 0.5 in k 2.227 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.227 * [taylor]: Taking taylor expansion of 1.0 in k 2.227 * [taylor]: Taking taylor expansion of k in k 2.227 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.227 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.227 * [taylor]: Taking taylor expansion of 2.0 in k 2.227 * [taylor]: Taking taylor expansion of (* n PI) in k 2.227 * [taylor]: Taking taylor expansion of n in k 2.228 * [taylor]: Taking taylor expansion of PI in k 2.228 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.228 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.229 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.229 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.229 * [taylor]: Taking taylor expansion of 0.5 in n 2.229 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.229 * [taylor]: Taking taylor expansion of 1.0 in n 2.229 * [taylor]: Taking taylor expansion of k in n 2.229 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.229 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.229 * [taylor]: Taking taylor expansion of 2.0 in n 2.229 * [taylor]: Taking taylor expansion of (* n PI) in n 2.229 * [taylor]: Taking taylor expansion of n in n 2.229 * [taylor]: Taking taylor expansion of PI in n 2.234 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.234 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.238 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.238 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.238 * [taylor]: Taking taylor expansion of 0.5 in n 2.238 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.238 * [taylor]: Taking taylor expansion of 1.0 in n 2.238 * [taylor]: Taking taylor expansion of k in n 2.238 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.238 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.238 * [taylor]: Taking taylor expansion of 2.0 in n 2.238 * [taylor]: Taking taylor expansion of (* n PI) in n 2.238 * [taylor]: Taking taylor expansion of n in n 2.238 * [taylor]: Taking taylor expansion of PI in n 2.243 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.243 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.243 * [taylor]: Taking taylor expansion of 0.5 in k 2.243 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.243 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.243 * [taylor]: Taking taylor expansion of 1.0 in k 2.243 * [taylor]: Taking taylor expansion of k in k 2.243 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.243 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.243 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.243 * [taylor]: Taking taylor expansion of 2.0 in k 2.243 * [taylor]: Taking taylor expansion of PI in k 2.244 * [taylor]: Taking taylor expansion of (log n) in k 2.244 * [taylor]: Taking taylor expansion of n in k 2.253 * [taylor]: Taking taylor expansion of 0 in k 2.269 * [taylor]: Taking taylor expansion of 0 in k 2.287 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.287 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.287 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.287 * [taylor]: Taking taylor expansion of 0.5 in k 2.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.287 * [taylor]: Taking taylor expansion of 1.0 in k 2.287 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.287 * [taylor]: Taking taylor expansion of k in k 2.287 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.287 * [taylor]: Taking taylor expansion of 2.0 in k 2.287 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.287 * [taylor]: Taking taylor expansion of PI in k 2.287 * [taylor]: Taking taylor expansion of n in k 2.289 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.289 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.289 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.289 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.289 * [taylor]: Taking taylor expansion of 0.5 in n 2.289 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.289 * [taylor]: Taking taylor expansion of 1.0 in n 2.289 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.289 * [taylor]: Taking taylor expansion of k in n 2.289 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.289 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.289 * [taylor]: Taking taylor expansion of 2.0 in n 2.289 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.289 * [taylor]: Taking taylor expansion of PI in n 2.289 * [taylor]: Taking taylor expansion of n in n 2.292 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.292 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.292 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.292 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.292 * [taylor]: Taking taylor expansion of 0.5 in n 2.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.292 * [taylor]: Taking taylor expansion of 1.0 in n 2.292 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.292 * [taylor]: Taking taylor expansion of k in n 2.293 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.293 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.293 * [taylor]: Taking taylor expansion of 2.0 in n 2.293 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.293 * [taylor]: Taking taylor expansion of PI in n 2.293 * [taylor]: Taking taylor expansion of n in n 2.296 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.296 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.296 * [taylor]: Taking taylor expansion of 0.5 in k 2.296 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.296 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.296 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.296 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.296 * [taylor]: Taking taylor expansion of 2.0 in k 2.296 * [taylor]: Taking taylor expansion of PI in k 2.297 * [taylor]: Taking taylor expansion of (log n) in k 2.297 * [taylor]: Taking taylor expansion of n in k 2.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.297 * [taylor]: Taking taylor expansion of 1.0 in k 2.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.297 * [taylor]: Taking taylor expansion of k in k 2.307 * [taylor]: Taking taylor expansion of 0 in k 2.314 * [taylor]: Taking taylor expansion of 0 in k 2.326 * [taylor]: Taking taylor expansion of 0 in k 2.328 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.328 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.328 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.328 * [taylor]: Taking taylor expansion of 0.5 in k 2.328 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.328 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.328 * [taylor]: Taking taylor expansion of k in k 2.328 * [taylor]: Taking taylor expansion of 1.0 in k 2.328 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.328 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.328 * [taylor]: Taking taylor expansion of -2.0 in k 2.328 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.328 * [taylor]: Taking taylor expansion of PI in k 2.328 * [taylor]: Taking taylor expansion of n in k 2.329 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.329 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.329 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.329 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.329 * [taylor]: Taking taylor expansion of 0.5 in n 2.329 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.329 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.329 * [taylor]: Taking taylor expansion of k in n 2.329 * [taylor]: Taking taylor expansion of 1.0 in n 2.329 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.329 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.329 * [taylor]: Taking taylor expansion of -2.0 in n 2.329 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.329 * [taylor]: Taking taylor expansion of PI in n 2.329 * [taylor]: Taking taylor expansion of n in n 2.333 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.333 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.333 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.333 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.333 * [taylor]: Taking taylor expansion of 0.5 in n 2.333 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.333 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.333 * [taylor]: Taking taylor expansion of k in n 2.333 * [taylor]: Taking taylor expansion of 1.0 in n 2.333 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.333 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.333 * [taylor]: Taking taylor expansion of -2.0 in n 2.333 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.333 * [taylor]: Taking taylor expansion of PI in n 2.333 * [taylor]: Taking taylor expansion of n in n 2.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.337 * [taylor]: Taking taylor expansion of 0.5 in k 2.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.337 * [taylor]: Taking taylor expansion of k in k 2.337 * [taylor]: Taking taylor expansion of 1.0 in k 2.337 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.337 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.337 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.337 * [taylor]: Taking taylor expansion of -2.0 in k 2.337 * [taylor]: Taking taylor expansion of PI in k 2.338 * [taylor]: Taking taylor expansion of (log n) in k 2.338 * [taylor]: Taking taylor expansion of n in k 2.347 * [taylor]: Taking taylor expansion of 0 in k 2.353 * [taylor]: Taking taylor expansion of 0 in k 2.362 * [taylor]: Taking taylor expansion of 0 in k 2.363 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.363 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.363 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.363 * [taylor]: Taking taylor expansion of 1.0 in k 2.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.363 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.363 * [taylor]: Taking taylor expansion of k in k 2.365 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.365 * [taylor]: Taking taylor expansion of 1.0 in k 2.365 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.365 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.365 * [taylor]: Taking taylor expansion of k in k 2.376 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.376 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.376 * [taylor]: Taking taylor expansion of 1.0 in k 2.376 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.376 * [taylor]: Taking taylor expansion of k in k 2.377 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.377 * [taylor]: Taking taylor expansion of 1.0 in k 2.377 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.377 * [taylor]: Taking taylor expansion of k in k 2.387 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.387 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.387 * [taylor]: Taking taylor expansion of 1.0 in k 2.387 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.387 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.387 * [taylor]: Taking taylor expansion of -1 in k 2.387 * [taylor]: Taking taylor expansion of k in k 2.388 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.388 * [taylor]: Taking taylor expansion of 1.0 in k 2.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.388 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.388 * [taylor]: Taking taylor expansion of -1 in k 2.388 * [taylor]: Taking taylor expansion of k in k 2.405 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 2.406 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.406 * [taylor]: Taking taylor expansion of 2.0 in n 2.406 * [taylor]: Taking taylor expansion of (* n PI) in n 2.406 * [taylor]: Taking taylor expansion of n in n 2.406 * [taylor]: Taking taylor expansion of PI in n 2.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.406 * [taylor]: Taking taylor expansion of 2.0 in n 2.406 * [taylor]: Taking taylor expansion of (* n PI) in n 2.406 * [taylor]: Taking taylor expansion of n in n 2.406 * [taylor]: Taking taylor expansion of PI in n 2.418 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.418 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.418 * [taylor]: Taking taylor expansion of 2.0 in n 2.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.418 * [taylor]: Taking taylor expansion of PI in n 2.418 * [taylor]: Taking taylor expansion of n in n 2.418 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.418 * [taylor]: Taking taylor expansion of 2.0 in n 2.418 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.419 * [taylor]: Taking taylor expansion of PI in n 2.419 * [taylor]: Taking taylor expansion of n in n 2.427 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.427 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.427 * [taylor]: Taking taylor expansion of -2.0 in n 2.427 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.427 * [taylor]: Taking taylor expansion of PI in n 2.427 * [taylor]: Taking taylor expansion of n in n 2.428 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.428 * [taylor]: Taking taylor expansion of -2.0 in n 2.428 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.428 * [taylor]: Taking taylor expansion of PI in n 2.428 * [taylor]: Taking taylor expansion of n in n 2.436 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.436 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 2.436 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 2.436 * [taylor]: Taking taylor expansion of 1.0 in n 2.437 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 2.437 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.437 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.437 * [taylor]: Taking taylor expansion of k in n 2.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.437 * [taylor]: Taking taylor expansion of 0.5 in n 2.437 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.437 * [taylor]: Taking taylor expansion of 1.0 in n 2.437 * [taylor]: Taking taylor expansion of k in n 2.437 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.437 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.437 * [taylor]: Taking taylor expansion of 2.0 in n 2.437 * [taylor]: Taking taylor expansion of (* n PI) in n 2.437 * [taylor]: Taking taylor expansion of n in n 2.437 * [taylor]: Taking taylor expansion of PI in n 2.442 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.442 * [taylor]: Taking taylor expansion of 1.0 in k 2.442 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.442 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.442 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.442 * [taylor]: Taking taylor expansion of k in k 2.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.443 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.444 * [taylor]: Taking taylor expansion of 0.5 in k 2.444 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.444 * [taylor]: Taking taylor expansion of 1.0 in k 2.444 * [taylor]: Taking taylor expansion of k in k 2.444 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.444 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.444 * [taylor]: Taking taylor expansion of 2.0 in k 2.444 * [taylor]: Taking taylor expansion of (* n PI) in k 2.444 * [taylor]: Taking taylor expansion of n in k 2.444 * [taylor]: Taking taylor expansion of PI in k 2.445 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 2.445 * [taylor]: Taking taylor expansion of 1.0 in k 2.445 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 2.445 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.445 * [taylor]: Taking taylor expansion of k in k 2.446 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.446 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.446 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.446 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.446 * [taylor]: Taking taylor expansion of 0.5 in k 2.446 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.446 * [taylor]: Taking taylor expansion of 1.0 in k 2.446 * [taylor]: Taking taylor expansion of k in k 2.446 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.446 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.446 * [taylor]: Taking taylor expansion of 2.0 in k 2.446 * [taylor]: Taking taylor expansion of (* n PI) in k 2.446 * [taylor]: Taking taylor expansion of n in k 2.446 * [taylor]: Taking taylor expansion of PI in k 2.447 * [taylor]: Taking taylor expansion of 0 in n 2.453 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.453 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.453 * [taylor]: Taking taylor expansion of +nan.0 in n 2.453 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.453 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.453 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.453 * [taylor]: Taking taylor expansion of 0.5 in n 2.453 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.453 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.453 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.453 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.453 * [taylor]: Taking taylor expansion of 1.0 in n 2.453 * [taylor]: Taking taylor expansion of (log PI) in n 2.453 * [taylor]: Taking taylor expansion of PI in n 2.455 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.455 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.455 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.455 * [taylor]: Taking taylor expansion of 1.0 in n 2.455 * [taylor]: Taking taylor expansion of (log n) in n 2.455 * [taylor]: Taking taylor expansion of n in n 2.456 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.456 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.456 * [taylor]: Taking taylor expansion of 1.0 in n 2.456 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.456 * [taylor]: Taking taylor expansion of 2.0 in n 2.475 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 2.475 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 2.475 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.475 * [taylor]: Taking taylor expansion of +nan.0 in n 2.475 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.475 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.475 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.475 * [taylor]: Taking taylor expansion of 0.5 in n 2.475 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.475 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.475 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.475 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.475 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.475 * [taylor]: Taking taylor expansion of 1.0 in n 2.475 * [taylor]: Taking taylor expansion of (log PI) in n 2.475 * [taylor]: Taking taylor expansion of PI in n 2.477 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.477 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.477 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.477 * [taylor]: Taking taylor expansion of 1.0 in n 2.477 * [taylor]: Taking taylor expansion of (log n) in n 2.477 * [taylor]: Taking taylor expansion of n in n 2.477 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.478 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.478 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.478 * [taylor]: Taking taylor expansion of 1.0 in n 2.478 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.478 * [taylor]: Taking taylor expansion of 2.0 in n 2.483 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 2.483 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.483 * [taylor]: Taking taylor expansion of +nan.0 in n 2.483 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.483 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.483 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.483 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.483 * [taylor]: Taking taylor expansion of 0.5 in n 2.483 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.483 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.483 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.483 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.483 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.483 * [taylor]: Taking taylor expansion of 1.0 in n 2.483 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.483 * [taylor]: Taking taylor expansion of 2.0 in n 2.490 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.490 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.490 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.490 * [taylor]: Taking taylor expansion of 1.0 in n 2.490 * [taylor]: Taking taylor expansion of (log PI) in n 2.490 * [taylor]: Taking taylor expansion of PI in n 2.492 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.492 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.492 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.492 * [taylor]: Taking taylor expansion of 1.0 in n 2.492 * [taylor]: Taking taylor expansion of (log n) in n 2.492 * [taylor]: Taking taylor expansion of n in n 2.496 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.496 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.496 * [taylor]: Taking taylor expansion of 2.0 in n 2.496 * [taylor]: Taking taylor expansion of (* n PI) in n 2.496 * [taylor]: Taking taylor expansion of n in n 2.496 * [taylor]: Taking taylor expansion of PI in n 2.545 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.545 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.545 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.545 * [taylor]: Taking taylor expansion of +nan.0 in n 2.545 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.545 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.545 * [taylor]: Taking taylor expansion of 0.5 in n 2.545 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.545 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.545 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.545 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.545 * [taylor]: Taking taylor expansion of 1.0 in n 2.545 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.545 * [taylor]: Taking taylor expansion of 2.0 in n 2.547 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.547 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.547 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.547 * [taylor]: Taking taylor expansion of 1.0 in n 2.547 * [taylor]: Taking taylor expansion of (log n) in n 2.547 * [taylor]: Taking taylor expansion of n in n 2.547 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.547 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.547 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.547 * [taylor]: Taking taylor expansion of 1.0 in n 2.547 * [taylor]: Taking taylor expansion of (log PI) in n 2.547 * [taylor]: Taking taylor expansion of PI in n 2.553 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.553 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.553 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.553 * [taylor]: Taking taylor expansion of +nan.0 in n 2.553 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.553 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.553 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.553 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.553 * [taylor]: Taking taylor expansion of 0.5 in n 2.553 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.553 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.553 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.553 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.553 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.553 * [taylor]: Taking taylor expansion of 1.0 in n 2.553 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.553 * [taylor]: Taking taylor expansion of 2.0 in n 2.555 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.555 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.555 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.555 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.555 * [taylor]: Taking taylor expansion of 1.0 in n 2.555 * [taylor]: Taking taylor expansion of (log PI) in n 2.555 * [taylor]: Taking taylor expansion of PI in n 2.557 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.557 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.557 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.557 * [taylor]: Taking taylor expansion of 1.0 in n 2.557 * [taylor]: Taking taylor expansion of (log n) in n 2.557 * [taylor]: Taking taylor expansion of n in n 2.561 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.561 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.561 * [taylor]: Taking taylor expansion of 2.0 in n 2.561 * [taylor]: Taking taylor expansion of (* n PI) in n 2.561 * [taylor]: Taking taylor expansion of n in n 2.561 * [taylor]: Taking taylor expansion of PI in n 2.564 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.564 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.564 * [taylor]: Taking taylor expansion of +nan.0 in n 2.564 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.564 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 2.564 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 2.564 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 2.564 * [taylor]: Taking taylor expansion of 0.5 in n 2.564 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 2.564 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 2.564 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.564 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.564 * [taylor]: Taking taylor expansion of 1.0 in n 2.564 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.564 * [taylor]: Taking taylor expansion of 2.0 in n 2.566 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 2.566 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.566 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.566 * [taylor]: Taking taylor expansion of 1.0 in n 2.566 * [taylor]: Taking taylor expansion of (log PI) in n 2.566 * [taylor]: Taking taylor expansion of PI in n 2.568 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.568 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.568 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.568 * [taylor]: Taking taylor expansion of 1.0 in n 2.568 * [taylor]: Taking taylor expansion of (log n) in n 2.568 * [taylor]: Taking taylor expansion of n in n 2.572 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.572 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.572 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.572 * [taylor]: Taking taylor expansion of 2.0 in n 2.572 * [taylor]: Taking taylor expansion of (* n PI) in n 2.572 * [taylor]: Taking taylor expansion of n in n 2.572 * [taylor]: Taking taylor expansion of PI in n 2.648 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.649 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.649 * [taylor]: Taking taylor expansion of 1.0 in n 2.649 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.649 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.649 * [taylor]: Taking taylor expansion of k in n 2.649 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.649 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.649 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.649 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.649 * [taylor]: Taking taylor expansion of 0.5 in n 2.649 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.649 * [taylor]: Taking taylor expansion of 1.0 in n 2.649 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.649 * [taylor]: Taking taylor expansion of k in n 2.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.649 * [taylor]: Taking taylor expansion of 2.0 in n 2.649 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.649 * [taylor]: Taking taylor expansion of PI in n 2.649 * [taylor]: Taking taylor expansion of n in n 2.653 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.653 * [taylor]: Taking taylor expansion of 1.0 in k 2.653 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.653 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.653 * [taylor]: Taking taylor expansion of k in k 2.654 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.654 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.654 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.654 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.654 * [taylor]: Taking taylor expansion of 0.5 in k 2.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.654 * [taylor]: Taking taylor expansion of 1.0 in k 2.654 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.654 * [taylor]: Taking taylor expansion of k in k 2.654 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.654 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.654 * [taylor]: Taking taylor expansion of 2.0 in k 2.654 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.654 * [taylor]: Taking taylor expansion of PI in k 2.654 * [taylor]: Taking taylor expansion of n in k 2.655 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.655 * [taylor]: Taking taylor expansion of 1.0 in k 2.655 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.655 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.655 * [taylor]: Taking taylor expansion of k in k 2.656 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.656 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.656 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.656 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.656 * [taylor]: Taking taylor expansion of 0.5 in k 2.656 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.656 * [taylor]: Taking taylor expansion of 1.0 in k 2.656 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.656 * [taylor]: Taking taylor expansion of k in k 2.657 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.657 * [taylor]: Taking taylor expansion of 2.0 in k 2.657 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.657 * [taylor]: Taking taylor expansion of PI in k 2.657 * [taylor]: Taking taylor expansion of n in k 2.663 * [taylor]: Taking taylor expansion of 0 in n 2.664 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.664 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.664 * [taylor]: Taking taylor expansion of +nan.0 in n 2.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.664 * [taylor]: Taking taylor expansion of 0.5 in n 2.664 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.664 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.664 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.664 * [taylor]: Taking taylor expansion of 2.0 in n 2.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.664 * [taylor]: Taking taylor expansion of PI in n 2.664 * [taylor]: Taking taylor expansion of n in n 2.665 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.665 * [taylor]: Taking taylor expansion of 1.0 in n 2.665 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.665 * [taylor]: Taking taylor expansion of k in n 2.674 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.674 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.674 * [taylor]: Taking taylor expansion of +nan.0 in n 2.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.674 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.674 * [taylor]: Taking taylor expansion of 0.5 in n 2.674 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.674 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.674 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.674 * [taylor]: Taking taylor expansion of 2.0 in n 2.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.674 * [taylor]: Taking taylor expansion of PI in n 2.674 * [taylor]: Taking taylor expansion of n in n 2.675 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.675 * [taylor]: Taking taylor expansion of 1.0 in n 2.675 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.675 * [taylor]: Taking taylor expansion of k in n 2.692 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.692 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.692 * [taylor]: Taking taylor expansion of +nan.0 in n 2.692 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.692 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.692 * [taylor]: Taking taylor expansion of 0.5 in n 2.692 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.692 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.692 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.692 * [taylor]: Taking taylor expansion of 2.0 in n 2.692 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.692 * [taylor]: Taking taylor expansion of PI in n 2.692 * [taylor]: Taking taylor expansion of n in n 2.693 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.693 * [taylor]: Taking taylor expansion of 1.0 in n 2.693 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.693 * [taylor]: Taking taylor expansion of k in n 2.702 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.702 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.702 * [taylor]: Taking taylor expansion of 1.0 in n 2.702 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.702 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.702 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.702 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.702 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.702 * [taylor]: Taking taylor expansion of 0.5 in n 2.702 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.702 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.702 * [taylor]: Taking taylor expansion of k in n 2.702 * [taylor]: Taking taylor expansion of 1.0 in n 2.702 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.702 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.702 * [taylor]: Taking taylor expansion of -2.0 in n 2.702 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.702 * [taylor]: Taking taylor expansion of PI in n 2.702 * [taylor]: Taking taylor expansion of n in n 2.705 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.705 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.705 * [taylor]: Taking taylor expansion of -1 in n 2.705 * [taylor]: Taking taylor expansion of k in n 2.706 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.706 * [taylor]: Taking taylor expansion of 1.0 in k 2.706 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.706 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.706 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.707 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.707 * [taylor]: Taking taylor expansion of 0.5 in k 2.707 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.707 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.707 * [taylor]: Taking taylor expansion of k in k 2.707 * [taylor]: Taking taylor expansion of 1.0 in k 2.707 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.707 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.707 * [taylor]: Taking taylor expansion of -2.0 in k 2.707 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.707 * [taylor]: Taking taylor expansion of PI in k 2.707 * [taylor]: Taking taylor expansion of n in k 2.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.708 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.708 * [taylor]: Taking taylor expansion of -1 in k 2.708 * [taylor]: Taking taylor expansion of k in k 2.709 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.709 * [taylor]: Taking taylor expansion of 1.0 in k 2.709 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.709 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.709 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.709 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.709 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.709 * [taylor]: Taking taylor expansion of 0.5 in k 2.709 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.709 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.709 * [taylor]: Taking taylor expansion of k in k 2.710 * [taylor]: Taking taylor expansion of 1.0 in k 2.710 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.710 * [taylor]: Taking taylor expansion of -2.0 in k 2.710 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.710 * [taylor]: Taking taylor expansion of PI in k 2.710 * [taylor]: Taking taylor expansion of n in k 2.710 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.710 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.710 * [taylor]: Taking taylor expansion of -1 in k 2.710 * [taylor]: Taking taylor expansion of k in k 2.712 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.712 * [taylor]: Taking taylor expansion of +nan.0 in n 2.712 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.712 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.712 * [taylor]: Taking taylor expansion of 0.5 in n 2.712 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.712 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.712 * [taylor]: Taking taylor expansion of k in n 2.712 * [taylor]: Taking taylor expansion of 1.0 in n 2.712 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.712 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.712 * [taylor]: Taking taylor expansion of -2.0 in n 2.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.712 * [taylor]: Taking taylor expansion of PI in n 2.712 * [taylor]: Taking taylor expansion of n in n 2.721 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.721 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.721 * [taylor]: Taking taylor expansion of +nan.0 in n 2.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.721 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.721 * [taylor]: Taking taylor expansion of 0.5 in n 2.721 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.721 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.721 * [taylor]: Taking taylor expansion of k in n 2.721 * [taylor]: Taking taylor expansion of 1.0 in n 2.721 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.721 * [taylor]: Taking taylor expansion of -2.0 in n 2.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.721 * [taylor]: Taking taylor expansion of PI in n 2.721 * [taylor]: Taking taylor expansion of n in n 2.739 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 2.739 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 2.739 * [taylor]: Taking taylor expansion of +nan.0 in n 2.739 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.739 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.739 * [taylor]: Taking taylor expansion of 0.5 in n 2.739 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.739 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.739 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.739 * [taylor]: Taking taylor expansion of k in n 2.739 * [taylor]: Taking taylor expansion of 1.0 in n 2.739 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.739 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.739 * [taylor]: Taking taylor expansion of -2.0 in n 2.739 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.739 * [taylor]: Taking taylor expansion of PI in n 2.739 * [taylor]: Taking taylor expansion of n in n 2.753 * * * [progress]: simplifying candidates 2.756 * [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 (/ 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 (* (* 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)) (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))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (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)))) (* (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))))) (cbrt (* (/ 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))) (* (/ 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)))) (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) (* (/ 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))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (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)))))) (- (+ (* +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))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 2.776 * * [simplify]: iteration 0 : 369 enodes (cost 2880 ) 2.865 * * [simplify]: iteration 1 : 974 enodes (cost 2712 ) 3.280 * * [simplify]: iteration 2 : 3328 enodes (cost 2538 ) 3.916 * * [simplify]: iteration done : 5000 enodes (cost 2523 ) 3.917 * [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)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (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))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (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 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt 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n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 3) (* (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))))) (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 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (pow (* 2.0 (* n PI)) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2))))) (* (* 0.5 k) (+ (* (pow (* 2.0 (* n PI)) 0.5) (log (* 2.0 PI))) (* (pow (* 2.0 (* n PI)) 0.5) (log n))))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (- (- (* +nan.0 (pow k 2)) +nan.0) (* +nan.0 k)) (- (- (/ +nan.0 k) (/ +nan.0 (pow k 3))) (/ +nan.0 (pow k 2))) (- (- (/ +nan.0 k) +nan.0) (/ +nan.0 (pow k 2))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (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 (* (* (pow k 2) (log n)) (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 (log n) 2))) (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 n 1.0) (pow PI 1.0))) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k)))) (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))))) (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2)))) (/ (* (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) +nan.0) (pow k 3))) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 3.923 * * * [progress]: adding candidates to table 4.334 * * [progress]: iteration 2 / 4 4.334 * * * [progress]: picking best candidate 4.369 * * * * [pick]: Picked # 4.369 * * * [progress]: localizing error 4.382 * * * [progress]: generating rewritten candidates 4.382 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 4.391 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 2 1) 4.398 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.408 * * * [progress]: generating series expansions 4.408 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 4.408 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.408 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.408 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.408 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.408 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.408 * [taylor]: Taking taylor expansion of 0.5 in k 4.408 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.408 * [taylor]: Taking taylor expansion of 1.0 in k 4.408 * [taylor]: Taking taylor expansion of k in k 4.409 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.409 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.409 * [taylor]: Taking taylor expansion of 2.0 in k 4.409 * [taylor]: Taking taylor expansion of (* n PI) in k 4.409 * [taylor]: Taking taylor expansion of n in k 4.409 * [taylor]: Taking taylor expansion of PI in k 4.410 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.410 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.410 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.410 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.410 * [taylor]: Taking taylor expansion of 0.5 in n 4.410 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.410 * [taylor]: Taking taylor expansion of 1.0 in n 4.410 * [taylor]: Taking taylor expansion of k in n 4.410 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.410 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.410 * [taylor]: Taking taylor expansion of 2.0 in n 4.410 * [taylor]: Taking taylor expansion of (* n PI) in n 4.410 * [taylor]: Taking taylor expansion of n in n 4.410 * [taylor]: Taking taylor expansion of PI in n 4.415 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.415 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.415 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.415 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.415 * [taylor]: Taking taylor expansion of 0.5 in n 4.415 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.415 * [taylor]: Taking taylor expansion of 1.0 in n 4.415 * [taylor]: Taking taylor expansion of k in n 4.415 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.415 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.415 * [taylor]: Taking taylor expansion of 2.0 in n 4.415 * [taylor]: Taking taylor expansion of (* n PI) in n 4.415 * [taylor]: Taking taylor expansion of n in n 4.415 * [taylor]: Taking taylor expansion of PI in n 4.421 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.421 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.421 * [taylor]: Taking taylor expansion of 0.5 in k 4.421 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.421 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.421 * [taylor]: Taking taylor expansion of 1.0 in k 4.421 * [taylor]: Taking taylor expansion of k in k 4.421 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.421 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.421 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.421 * [taylor]: Taking taylor expansion of 2.0 in k 4.421 * [taylor]: Taking taylor expansion of PI in k 4.422 * [taylor]: Taking taylor expansion of (log n) in k 4.422 * [taylor]: Taking taylor expansion of n in k 4.431 * [taylor]: Taking taylor expansion of 0 in k 4.452 * [taylor]: Taking taylor expansion of 0 in k 4.470 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.470 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.470 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.470 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.470 * [taylor]: Taking taylor expansion of 0.5 in k 4.470 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.470 * [taylor]: Taking taylor expansion of 1.0 in k 4.470 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.470 * [taylor]: Taking taylor expansion of k in k 4.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.470 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.470 * [taylor]: Taking taylor expansion of 2.0 in k 4.470 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.470 * [taylor]: Taking taylor expansion of PI in k 4.470 * [taylor]: Taking taylor expansion of n in k 4.471 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.471 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.471 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.472 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.472 * [taylor]: Taking taylor expansion of 0.5 in n 4.472 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.472 * [taylor]: Taking taylor expansion of 1.0 in n 4.472 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.472 * [taylor]: Taking taylor expansion of k in n 4.472 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.472 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.472 * [taylor]: Taking taylor expansion of 2.0 in n 4.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.472 * [taylor]: Taking taylor expansion of PI in n 4.472 * [taylor]: Taking taylor expansion of n in n 4.475 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.475 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.475 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.475 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.475 * [taylor]: Taking taylor expansion of 0.5 in n 4.475 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.475 * [taylor]: Taking taylor expansion of 1.0 in n 4.475 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.475 * [taylor]: Taking taylor expansion of k in n 4.475 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.475 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.476 * [taylor]: Taking taylor expansion of 2.0 in n 4.476 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.476 * [taylor]: Taking taylor expansion of PI in n 4.476 * [taylor]: Taking taylor expansion of n in n 4.479 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.479 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.479 * [taylor]: Taking taylor expansion of 0.5 in k 4.479 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.479 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.479 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.479 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.479 * [taylor]: Taking taylor expansion of 2.0 in k 4.479 * [taylor]: Taking taylor expansion of PI in k 4.480 * [taylor]: Taking taylor expansion of (log n) in k 4.480 * [taylor]: Taking taylor expansion of n in k 4.480 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.480 * [taylor]: Taking taylor expansion of 1.0 in k 4.480 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.480 * [taylor]: Taking taylor expansion of k in k 4.490 * [taylor]: Taking taylor expansion of 0 in k 4.497 * [taylor]: Taking taylor expansion of 0 in k 4.507 * [taylor]: Taking taylor expansion of 0 in k 4.508 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.508 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.508 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.508 * [taylor]: Taking taylor expansion of 0.5 in k 4.508 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.508 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.508 * [taylor]: Taking taylor expansion of k in k 4.508 * [taylor]: Taking taylor expansion of 1.0 in k 4.508 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.508 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.508 * [taylor]: Taking taylor expansion of -2.0 in k 4.508 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.508 * [taylor]: Taking taylor expansion of PI in k 4.508 * [taylor]: Taking taylor expansion of n in k 4.509 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.509 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.509 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.509 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.509 * [taylor]: Taking taylor expansion of 0.5 in n 4.509 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.509 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.509 * [taylor]: Taking taylor expansion of k in n 4.509 * [taylor]: Taking taylor expansion of 1.0 in n 4.509 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.509 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.509 * [taylor]: Taking taylor expansion of -2.0 in n 4.509 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.509 * [taylor]: Taking taylor expansion of PI in n 4.509 * [taylor]: Taking taylor expansion of n in n 4.513 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.513 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.513 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.513 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.513 * [taylor]: Taking taylor expansion of 0.5 in n 4.513 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.513 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.513 * [taylor]: Taking taylor expansion of k in n 4.513 * [taylor]: Taking taylor expansion of 1.0 in n 4.513 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.513 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.513 * [taylor]: Taking taylor expansion of -2.0 in n 4.513 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.513 * [taylor]: Taking taylor expansion of PI in n 4.513 * [taylor]: Taking taylor expansion of n in n 4.523 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.523 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.523 * [taylor]: Taking taylor expansion of 0.5 in k 4.523 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.523 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.523 * [taylor]: Taking taylor expansion of k in k 4.523 * [taylor]: Taking taylor expansion of 1.0 in k 4.523 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.523 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.523 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.523 * [taylor]: Taking taylor expansion of -2.0 in k 4.523 * [taylor]: Taking taylor expansion of PI in k 4.524 * [taylor]: Taking taylor expansion of (log n) in k 4.524 * [taylor]: Taking taylor expansion of n in k 4.533 * [taylor]: Taking taylor expansion of 0 in k 4.541 * [taylor]: Taking taylor expansion of 0 in k 4.550 * [taylor]: Taking taylor expansion of 0 in k 4.551 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 2 1) 4.551 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.551 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.551 * [taylor]: Taking taylor expansion of 2.0 in n 4.551 * [taylor]: Taking taylor expansion of (* n PI) in n 4.551 * [taylor]: Taking taylor expansion of n in n 4.551 * [taylor]: Taking taylor expansion of PI in n 4.551 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.551 * [taylor]: Taking taylor expansion of 2.0 in n 4.551 * [taylor]: Taking taylor expansion of (* n PI) in n 4.551 * [taylor]: Taking taylor expansion of n in n 4.551 * [taylor]: Taking taylor expansion of PI in n 4.564 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.564 * [taylor]: Taking taylor expansion of 2.0 in n 4.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.564 * [taylor]: Taking taylor expansion of PI in n 4.564 * [taylor]: Taking taylor expansion of n in n 4.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.564 * [taylor]: Taking taylor expansion of 2.0 in n 4.564 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.564 * [taylor]: Taking taylor expansion of PI in n 4.564 * [taylor]: Taking taylor expansion of n in n 4.573 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.573 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.573 * [taylor]: Taking taylor expansion of -2.0 in n 4.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.573 * [taylor]: Taking taylor expansion of PI in n 4.573 * [taylor]: Taking taylor expansion of n in n 4.573 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.573 * [taylor]: Taking taylor expansion of -2.0 in n 4.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.573 * [taylor]: Taking taylor expansion of PI in n 4.573 * [taylor]: Taking taylor expansion of n in n 4.582 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.582 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (n k) around 0 4.582 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 4.582 * [taylor]: Taking taylor expansion of 1.0 in k 4.582 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 4.582 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.582 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.582 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.582 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.582 * [taylor]: Taking taylor expansion of 0.5 in k 4.583 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.583 * [taylor]: Taking taylor expansion of 1.0 in k 4.583 * [taylor]: Taking taylor expansion of k in k 4.583 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.583 * [taylor]: Taking taylor expansion of 2.0 in k 4.583 * [taylor]: Taking taylor expansion of (* n PI) in k 4.583 * [taylor]: Taking taylor expansion of n in k 4.583 * [taylor]: Taking taylor expansion of PI in k 4.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.584 * [taylor]: Taking taylor expansion of k in k 4.585 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 4.585 * [taylor]: Taking taylor expansion of 1.0 in n 4.585 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.585 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.585 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.585 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.585 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.585 * [taylor]: Taking taylor expansion of 0.5 in n 4.585 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.585 * [taylor]: Taking taylor expansion of 1.0 in n 4.585 * [taylor]: Taking taylor expansion of k in n 4.585 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.585 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.585 * [taylor]: Taking taylor expansion of 2.0 in n 4.585 * [taylor]: Taking taylor expansion of (* n PI) in n 4.585 * [taylor]: Taking taylor expansion of n in n 4.585 * [taylor]: Taking taylor expansion of PI in n 4.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.590 * [taylor]: Taking taylor expansion of k in n 4.591 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 4.591 * [taylor]: Taking taylor expansion of 1.0 in n 4.591 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 4.591 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.591 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.591 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.591 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.591 * [taylor]: Taking taylor expansion of 0.5 in n 4.591 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.591 * [taylor]: Taking taylor expansion of 1.0 in n 4.591 * [taylor]: Taking taylor expansion of k in n 4.591 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.591 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.591 * [taylor]: Taking taylor expansion of 2.0 in n 4.591 * [taylor]: Taking taylor expansion of (* n PI) in n 4.591 * [taylor]: Taking taylor expansion of n in n 4.591 * [taylor]: Taking taylor expansion of PI in n 4.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.596 * [taylor]: Taking taylor expansion of k in n 4.598 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))))) in k 4.598 * [taylor]: Taking taylor expansion of 1.0 in k 4.598 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))))) in k 4.598 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.598 * [taylor]: Taking taylor expansion of k in k 4.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.599 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.599 * [taylor]: Taking taylor expansion of 0.5 in k 4.599 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.599 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.600 * [taylor]: Taking taylor expansion of 1.0 in k 4.600 * [taylor]: Taking taylor expansion of k in k 4.600 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.600 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.600 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.600 * [taylor]: Taking taylor expansion of 2.0 in k 4.600 * [taylor]: Taking taylor expansion of PI in k 4.601 * [taylor]: Taking taylor expansion of (log n) in k 4.601 * [taylor]: Taking taylor expansion of n in k 4.618 * [taylor]: Taking taylor expansion of 0 in k 4.638 * [taylor]: Taking taylor expansion of 0 in k 4.674 * [taylor]: Taking taylor expansion of 0 in k 4.739 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (n k) around 0 4.739 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.739 * [taylor]: Taking taylor expansion of 1.0 in k 4.739 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.739 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.739 * [taylor]: Taking taylor expansion of k in k 4.740 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.740 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.740 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.740 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.740 * [taylor]: Taking taylor expansion of 0.5 in k 4.740 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.740 * [taylor]: Taking taylor expansion of 1.0 in k 4.740 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.740 * [taylor]: Taking taylor expansion of k in k 4.740 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.740 * [taylor]: Taking taylor expansion of 2.0 in k 4.740 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.740 * [taylor]: Taking taylor expansion of PI in k 4.740 * [taylor]: Taking taylor expansion of n in k 4.741 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.741 * [taylor]: Taking taylor expansion of 1.0 in n 4.741 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.741 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.741 * [taylor]: Taking taylor expansion of k in n 4.741 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.741 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.741 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.741 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.741 * [taylor]: Taking taylor expansion of 0.5 in n 4.742 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.742 * [taylor]: Taking taylor expansion of 1.0 in n 4.742 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.742 * [taylor]: Taking taylor expansion of k in n 4.742 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.742 * [taylor]: Taking taylor expansion of 2.0 in n 4.742 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.742 * [taylor]: Taking taylor expansion of PI in n 4.742 * [taylor]: Taking taylor expansion of n in n 4.745 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.745 * [taylor]: Taking taylor expansion of 1.0 in n 4.745 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.746 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.746 * [taylor]: Taking taylor expansion of k in n 4.746 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.746 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.746 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.746 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.746 * [taylor]: Taking taylor expansion of 0.5 in n 4.746 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.746 * [taylor]: Taking taylor expansion of 1.0 in n 4.746 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.746 * [taylor]: Taking taylor expansion of k in n 4.746 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.746 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.746 * [taylor]: Taking taylor expansion of 2.0 in n 4.746 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.746 * [taylor]: Taking taylor expansion of PI in n 4.746 * [taylor]: Taking taylor expansion of n in n 4.751 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))))) in k 4.751 * [taylor]: Taking taylor expansion of 1.0 in k 4.751 * [taylor]: Taking taylor expansion of (* (sqrt k) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))))) in k 4.751 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.751 * [taylor]: Taking taylor expansion of k in k 4.752 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.752 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.752 * [taylor]: Taking taylor expansion of 0.5 in k 4.752 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.752 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.752 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.752 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.752 * [taylor]: Taking taylor expansion of 2.0 in k 4.752 * [taylor]: Taking taylor expansion of PI in k 4.753 * [taylor]: Taking taylor expansion of (log n) in k 4.753 * [taylor]: Taking taylor expansion of n in k 4.753 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.753 * [taylor]: Taking taylor expansion of 1.0 in k 4.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.753 * [taylor]: Taking taylor expansion of k in k 4.765 * [taylor]: Taking taylor expansion of 0 in k 4.783 * [taylor]: Taking taylor expansion of 0 in k 4.801 * [taylor]: Taking taylor expansion of 0 in k 4.811 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (n k) around 0 4.811 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 4.811 * [taylor]: Taking taylor expansion of 1.0 in k 4.811 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 4.811 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.811 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.811 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.811 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.811 * [taylor]: Taking taylor expansion of 0.5 in k 4.811 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.811 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.811 * [taylor]: Taking taylor expansion of k in k 4.811 * [taylor]: Taking taylor expansion of 1.0 in k 4.812 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.812 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.812 * [taylor]: Taking taylor expansion of -2.0 in k 4.812 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.812 * [taylor]: Taking taylor expansion of PI in k 4.812 * [taylor]: Taking taylor expansion of n in k 4.812 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.812 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.812 * [taylor]: Taking taylor expansion of -1 in k 4.812 * [taylor]: Taking taylor expansion of k in k 4.814 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.814 * [taylor]: Taking taylor expansion of 1.0 in n 4.814 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.814 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.814 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.814 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.814 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.814 * [taylor]: Taking taylor expansion of 0.5 in n 4.814 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.814 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.814 * [taylor]: Taking taylor expansion of k in n 4.814 * [taylor]: Taking taylor expansion of 1.0 in n 4.814 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.814 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.814 * [taylor]: Taking taylor expansion of -2.0 in n 4.814 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.814 * [taylor]: Taking taylor expansion of PI in n 4.814 * [taylor]: Taking taylor expansion of n in n 4.818 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.818 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.818 * [taylor]: Taking taylor expansion of -1 in n 4.818 * [taylor]: Taking taylor expansion of k in n 4.819 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 4.819 * [taylor]: Taking taylor expansion of 1.0 in n 4.819 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 4.819 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.819 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.819 * [taylor]: Taking taylor expansion of 0.5 in n 4.819 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.819 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.819 * [taylor]: Taking taylor expansion of k in n 4.819 * [taylor]: Taking taylor expansion of 1.0 in n 4.819 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.819 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.819 * [taylor]: Taking taylor expansion of -2.0 in n 4.819 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.819 * [taylor]: Taking taylor expansion of PI in n 4.819 * [taylor]: Taking taylor expansion of n in n 4.823 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.823 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.823 * [taylor]: Taking taylor expansion of -1 in n 4.823 * [taylor]: Taking taylor expansion of k in n 4.825 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k)))) in k 4.825 * [taylor]: Taking taylor expansion of 1.0 in k 4.825 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) (sqrt (/ -1 k))) in k 4.825 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.825 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.825 * [taylor]: Taking taylor expansion of 0.5 in k 4.825 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.825 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.825 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.825 * [taylor]: Taking taylor expansion of k in k 4.825 * [taylor]: Taking taylor expansion of 1.0 in k 4.825 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.825 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.825 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.825 * [taylor]: Taking taylor expansion of -2.0 in k 4.825 * [taylor]: Taking taylor expansion of PI in k 4.826 * [taylor]: Taking taylor expansion of (log n) in k 4.826 * [taylor]: Taking taylor expansion of n in k 4.829 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.829 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.829 * [taylor]: Taking taylor expansion of -1 in k 4.829 * [taylor]: Taking taylor expansion of k in k 4.840 * [taylor]: Taking taylor expansion of 0 in k 4.855 * [taylor]: Taking taylor expansion of 0 in k 4.872 * * * [progress]: simplifying candidates 4.874 * [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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (log (sqrt k))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (* (* (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) (/ 1.0 1) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (* (cbrt k) (cbrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt 1)) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 1) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))) (- (+ (* +nan.0 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* k (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (- (+ (* +nan.0 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (- (+ (* +nan.0 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (- (* +nan.0 (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) 4.887 * * [simplify]: iteration 0 : 270 enodes (cost 1898 ) 4.952 * * [simplify]: iteration 1 : 733 enodes (cost 1762 ) 5.173 * * [simplify]: iteration 2 : 2540 enodes (cost 1596 ) 5.800 * * [simplify]: iteration done : 5000 enodes (cost 1586 ) 5.800 * [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)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (sqrt (- 1.0 k))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (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))) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (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 (* n PI)) (* 2.0 (* n PI)) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (log (* 2.0 (* n PI))) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* n PI) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k)) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt k))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (- (sqrt k)) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (cbrt k))) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (sqrt (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt (sqrt k))) 1.0 (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (fabs (cbrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- (+ (fma (* 0.25 (pow k 2)) (* (log (* 2.0 PI)) (* (pow (* 2.0 (* n PI)) 0.5) (log n))) (pow (* 2.0 (* n PI)) 0.5)) (* (* 0.125 (pow k 2)) (+ (* (pow (* 2.0 (* n PI)) 0.5) (pow (log (* 2.0 PI)) 2)) (* (pow (* 2.0 (* n PI)) 0.5) (pow (log n) 2))))) (* (* 0.5 k) (+ (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5))))) (pow (pow (* 2.0 (* n PI)) 0.5) (- 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)) (- (fma (* (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (pow k 2)) +nan.0 (- (fma +nan.0 (* (* k (pow (* 2.0 (* n PI)) 0.5)) (log n)) (- (fma (* +nan.0 k) (pow (* 2.0 (* n PI)) 0.5) (- (fma +nan.0 (* (pow (* 2.0 (* n PI)) 0.5) (* k (log (* 2.0 PI)))) (- (* +nan.0 (- (* (* (pow k 2) (pow (log n) 2)) (pow (* 2.0 (* n PI)) 0.5)) (pow (* 2.0 (* n PI)) 0.5))))) (* (* (log (* 2.0 PI)) (* (pow (* 2.0 (* n PI)) 0.5) (log n))) (* +nan.0 (pow k 2))))) (* (* (* +nan.0 (pow k 2)) (pow (log (* 2.0 PI)) 2)) (pow (* 2.0 (* n PI)) 0.5)))) (* (pow k 2) (* (* (log (* 2.0 PI)) (pow (* 2.0 (* n PI)) 0.5)) +nan.0)))) (* (* +nan.0 (pow (* 2.0 (* n PI)) 0.5)) (pow k 2))) (- (* +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2)))) (* (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 3)) +nan.0)) (- (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) 5.801 * * * [progress]: adding candidates to table 6.042 * * [progress]: iteration 3 / 4 6.042 * * * [progress]: picking best candidate 6.063 * * * * [pick]: Picked # 6.063 * * * [progress]: localizing error 6.081 * * * [progress]: generating rewritten candidates 6.081 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2) 6.090 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 6.097 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 6.103 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.124 * * * [progress]: generating series expansions 6.124 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2) 6.125 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 6.125 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.125 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.125 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.125 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.125 * [taylor]: Taking taylor expansion of 0.5 in k 6.125 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.125 * [taylor]: Taking taylor expansion of 1.0 in k 6.125 * [taylor]: Taking taylor expansion of k in k 6.125 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.125 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.125 * [taylor]: Taking taylor expansion of 2.0 in k 6.125 * [taylor]: Taking taylor expansion of (* n PI) in k 6.125 * [taylor]: Taking taylor expansion of n in k 6.125 * [taylor]: Taking taylor expansion of PI in k 6.126 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.126 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.127 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.127 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.127 * [taylor]: Taking taylor expansion of 0.5 in n 6.127 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.127 * [taylor]: Taking taylor expansion of 1.0 in n 6.127 * [taylor]: Taking taylor expansion of k in n 6.127 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.127 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.127 * [taylor]: Taking taylor expansion of 2.0 in n 6.127 * [taylor]: Taking taylor expansion of (* n PI) in n 6.127 * [taylor]: Taking taylor expansion of n in n 6.127 * [taylor]: Taking taylor expansion of PI in n 6.132 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.132 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.132 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.132 * [taylor]: Taking taylor expansion of 0.5 in n 6.132 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.132 * [taylor]: Taking taylor expansion of 1.0 in n 6.132 * [taylor]: Taking taylor expansion of k in n 6.132 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.132 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.132 * [taylor]: Taking taylor expansion of 2.0 in n 6.132 * [taylor]: Taking taylor expansion of (* n PI) in n 6.132 * [taylor]: Taking taylor expansion of n in n 6.132 * [taylor]: Taking taylor expansion of PI in n 6.137 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 6.138 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 6.138 * [taylor]: Taking taylor expansion of 0.5 in k 6.138 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 6.138 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.138 * [taylor]: Taking taylor expansion of 1.0 in k 6.138 * [taylor]: Taking taylor expansion of k in k 6.138 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.138 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.138 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.138 * [taylor]: Taking taylor expansion of 2.0 in k 6.138 * [taylor]: Taking taylor expansion of PI in k 6.139 * [taylor]: Taking taylor expansion of (log n) in k 6.139 * [taylor]: Taking taylor expansion of n in k 6.148 * [taylor]: Taking taylor expansion of 0 in k 6.170 * [taylor]: Taking taylor expansion of 0 in k 6.188 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 6.188 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.188 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.189 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.189 * [taylor]: Taking taylor expansion of 0.5 in k 6.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.189 * [taylor]: Taking taylor expansion of 1.0 in k 6.189 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.189 * [taylor]: Taking taylor expansion of k in k 6.189 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.189 * [taylor]: Taking taylor expansion of 2.0 in k 6.189 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.189 * [taylor]: Taking taylor expansion of PI in k 6.189 * [taylor]: Taking taylor expansion of n in k 6.190 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.190 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.190 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.190 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.190 * [taylor]: Taking taylor expansion of 0.5 in n 6.190 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.190 * [taylor]: Taking taylor expansion of 1.0 in n 6.190 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.190 * [taylor]: Taking taylor expansion of k in n 6.190 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.190 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.190 * [taylor]: Taking taylor expansion of 2.0 in n 6.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.190 * [taylor]: Taking taylor expansion of PI in n 6.190 * [taylor]: Taking taylor expansion of n in n 6.194 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.194 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.194 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.194 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.194 * [taylor]: Taking taylor expansion of 0.5 in n 6.194 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.194 * [taylor]: Taking taylor expansion of 1.0 in n 6.194 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.194 * [taylor]: Taking taylor expansion of k in n 6.194 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.194 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.194 * [taylor]: Taking taylor expansion of 2.0 in n 6.194 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.194 * [taylor]: Taking taylor expansion of PI in n 6.194 * [taylor]: Taking taylor expansion of n in n 6.198 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 6.198 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 6.198 * [taylor]: Taking taylor expansion of 0.5 in k 6.198 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 6.198 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.198 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.198 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.198 * [taylor]: Taking taylor expansion of 2.0 in k 6.198 * [taylor]: Taking taylor expansion of PI in k 6.199 * [taylor]: Taking taylor expansion of (log n) in k 6.199 * [taylor]: Taking taylor expansion of n in k 6.199 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.199 * [taylor]: Taking taylor expansion of 1.0 in k 6.199 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.199 * [taylor]: Taking taylor expansion of k in k 6.208 * [taylor]: Taking taylor expansion of 0 in k 6.215 * [taylor]: Taking taylor expansion of 0 in k 6.224 * [taylor]: Taking taylor expansion of 0 in k 6.226 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 6.226 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.226 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.226 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.226 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.226 * [taylor]: Taking taylor expansion of 0.5 in k 6.226 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.226 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.226 * [taylor]: Taking taylor expansion of k in k 6.226 * [taylor]: Taking taylor expansion of 1.0 in k 6.226 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.226 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.226 * [taylor]: Taking taylor expansion of -2.0 in k 6.226 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.226 * [taylor]: Taking taylor expansion of PI in k 6.226 * [taylor]: Taking taylor expansion of n in k 6.227 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.227 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.227 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.227 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.227 * [taylor]: Taking taylor expansion of 0.5 in n 6.227 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.227 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.227 * [taylor]: Taking taylor expansion of k in n 6.227 * [taylor]: Taking taylor expansion of 1.0 in n 6.227 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.227 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.227 * [taylor]: Taking taylor expansion of -2.0 in n 6.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.227 * [taylor]: Taking taylor expansion of PI in n 6.227 * [taylor]: Taking taylor expansion of n in n 6.231 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.231 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.231 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.231 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.231 * [taylor]: Taking taylor expansion of 0.5 in n 6.231 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.231 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.231 * [taylor]: Taking taylor expansion of k in n 6.231 * [taylor]: Taking taylor expansion of 1.0 in n 6.231 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.231 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.231 * [taylor]: Taking taylor expansion of -2.0 in n 6.231 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.231 * [taylor]: Taking taylor expansion of PI in n 6.231 * [taylor]: Taking taylor expansion of n in n 6.235 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 6.235 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 6.235 * [taylor]: Taking taylor expansion of 0.5 in k 6.235 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 6.235 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.235 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.235 * [taylor]: Taking taylor expansion of k in k 6.235 * [taylor]: Taking taylor expansion of 1.0 in k 6.235 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 6.235 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 6.235 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 6.235 * [taylor]: Taking taylor expansion of -2.0 in k 6.235 * [taylor]: Taking taylor expansion of PI in k 6.236 * [taylor]: Taking taylor expansion of (log n) in k 6.236 * [taylor]: Taking taylor expansion of n in k 6.251 * [taylor]: Taking taylor expansion of 0 in k 6.258 * [taylor]: Taking taylor expansion of 0 in k 6.267 * [taylor]: Taking taylor expansion of 0 in k 6.268 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 6.268 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 6.268 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.268 * [taylor]: Taking taylor expansion of 2.0 in n 6.268 * [taylor]: Taking taylor expansion of (* n PI) in n 6.268 * [taylor]: Taking taylor expansion of n in n 6.268 * [taylor]: Taking taylor expansion of PI in n 6.268 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.268 * [taylor]: Taking taylor expansion of 2.0 in n 6.268 * [taylor]: Taking taylor expansion of (* n PI) in n 6.268 * [taylor]: Taking taylor expansion of n in n 6.268 * [taylor]: Taking taylor expansion of PI in n 6.281 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 6.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.281 * [taylor]: Taking taylor expansion of 2.0 in n 6.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.281 * [taylor]: Taking taylor expansion of PI in n 6.281 * [taylor]: Taking taylor expansion of n in n 6.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.281 * [taylor]: Taking taylor expansion of 2.0 in n 6.281 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.281 * [taylor]: Taking taylor expansion of PI in n 6.281 * [taylor]: Taking taylor expansion of n in n 6.290 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 6.290 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.290 * [taylor]: Taking taylor expansion of -2.0 in n 6.290 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.290 * [taylor]: Taking taylor expansion of PI in n 6.290 * [taylor]: Taking taylor expansion of n in n 6.291 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.291 * [taylor]: Taking taylor expansion of -2.0 in n 6.291 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.291 * [taylor]: Taking taylor expansion of PI in n 6.291 * [taylor]: Taking taylor expansion of n in n 6.299 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 6.300 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in (k n) around 0 6.300 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in n 6.300 * [taylor]: Taking taylor expansion of 1.0 in n 6.300 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 6.300 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.300 * [taylor]: Taking taylor expansion of k in n 6.300 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 6.300 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.300 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.300 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.300 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.300 * [taylor]: Taking taylor expansion of 0.5 in n 6.300 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.300 * [taylor]: Taking taylor expansion of 1.0 in n 6.300 * [taylor]: Taking taylor expansion of k in n 6.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.300 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.300 * [taylor]: Taking taylor expansion of 2.0 in n 6.300 * [taylor]: Taking taylor expansion of (* n PI) in n 6.300 * [taylor]: Taking taylor expansion of n in n 6.300 * [taylor]: Taking taylor expansion of PI in n 6.306 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in k 6.306 * [taylor]: Taking taylor expansion of 1.0 in k 6.306 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 6.306 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.306 * [taylor]: Taking taylor expansion of k in k 6.307 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.307 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.307 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.307 * [taylor]: Taking taylor expansion of 0.5 in k 6.307 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.307 * [taylor]: Taking taylor expansion of 1.0 in k 6.307 * [taylor]: Taking taylor expansion of k in k 6.307 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.307 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.307 * [taylor]: Taking taylor expansion of 2.0 in k 6.307 * [taylor]: Taking taylor expansion of (* n PI) in k 6.307 * [taylor]: Taking taylor expansion of n in k 6.307 * [taylor]: Taking taylor expansion of PI in k 6.309 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))))) in k 6.309 * [taylor]: Taking taylor expansion of 1.0 in k 6.309 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 6.309 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.309 * [taylor]: Taking taylor expansion of k in k 6.310 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.310 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.310 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.310 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.310 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.310 * [taylor]: Taking taylor expansion of 0.5 in k 6.310 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.310 * [taylor]: Taking taylor expansion of 1.0 in k 6.310 * [taylor]: Taking taylor expansion of k in k 6.310 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.310 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.310 * [taylor]: Taking taylor expansion of 2.0 in k 6.310 * [taylor]: Taking taylor expansion of (* n PI) in k 6.310 * [taylor]: Taking taylor expansion of n in k 6.310 * [taylor]: Taking taylor expansion of PI in k 6.312 * [taylor]: Taking taylor expansion of 0 in n 6.320 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 6.320 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 6.320 * [taylor]: Taking taylor expansion of +nan.0 in n 6.320 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 6.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 6.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.320 * [taylor]: Taking taylor expansion of 0.5 in n 6.320 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.320 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.320 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.320 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.320 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.320 * [taylor]: Taking taylor expansion of 1.0 in n 6.320 * [taylor]: Taking taylor expansion of (log PI) in n 6.321 * [taylor]: Taking taylor expansion of PI in n 6.322 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.322 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.322 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.322 * [taylor]: Taking taylor expansion of 1.0 in n 6.322 * [taylor]: Taking taylor expansion of (log n) in n 6.322 * [taylor]: Taking taylor expansion of n in n 6.323 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.323 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.323 * [taylor]: Taking taylor expansion of 1.0 in n 6.323 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.323 * [taylor]: Taking taylor expansion of 2.0 in n 6.355 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))) in n 6.355 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))) in n 6.355 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 6.355 * [taylor]: Taking taylor expansion of +nan.0 in n 6.355 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 6.355 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 6.355 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.355 * [taylor]: Taking taylor expansion of 0.5 in n 6.355 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.355 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.355 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.355 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.355 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.355 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.355 * [taylor]: Taking taylor expansion of 1.0 in n 6.355 * [taylor]: Taking taylor expansion of (log PI) in n 6.355 * [taylor]: Taking taylor expansion of PI in n 6.357 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.357 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.357 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.357 * [taylor]: Taking taylor expansion of 1.0 in n 6.357 * [taylor]: Taking taylor expansion of (log n) in n 6.357 * [taylor]: Taking taylor expansion of n in n 6.358 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.358 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.358 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.358 * [taylor]: Taking taylor expansion of 1.0 in n 6.358 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.358 * [taylor]: Taking taylor expansion of 2.0 in n 6.365 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) in n 6.365 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) in n 6.365 * [taylor]: Taking taylor expansion of +nan.0 in n 6.365 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))) in n 6.365 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 6.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 6.365 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.365 * [taylor]: Taking taylor expansion of 0.5 in n 6.365 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.365 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.365 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.365 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.365 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.365 * [taylor]: Taking taylor expansion of 1.0 in n 6.365 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.365 * [taylor]: Taking taylor expansion of 2.0 in n 6.367 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.367 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.367 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.367 * [taylor]: Taking taylor expansion of 1.0 in n 6.367 * [taylor]: Taking taylor expansion of (log PI) in n 6.367 * [taylor]: Taking taylor expansion of PI in n 6.369 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.369 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.369 * [taylor]: Taking taylor expansion of 1.0 in n 6.369 * [taylor]: Taking taylor expansion of (log n) in n 6.369 * [taylor]: Taking taylor expansion of n in n 6.374 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.374 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.374 * [taylor]: Taking taylor expansion of 2.0 in n 6.374 * [taylor]: Taking taylor expansion of (* n PI) in n 6.374 * [taylor]: Taking taylor expansion of n in n 6.374 * [taylor]: Taking taylor expansion of PI in n 6.442 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))))))) in n 6.442 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))))))) in n 6.442 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 6.442 * [taylor]: Taking taylor expansion of +nan.0 in n 6.442 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 6.442 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 6.442 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 6.442 * [taylor]: Taking taylor expansion of 0.5 in n 6.442 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 6.442 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 6.442 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 6.442 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.442 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.442 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.442 * [taylor]: Taking taylor expansion of 1.0 in n 6.442 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.442 * [taylor]: Taking taylor expansion of 2.0 in n 6.444 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 6.444 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.444 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.444 * [taylor]: Taking taylor expansion of 1.0 in n 6.444 * [taylor]: Taking taylor expansion of (log n) in n 6.444 * [taylor]: Taking taylor expansion of n in n 6.444 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.444 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.444 * [taylor]: Taking taylor expansion of 1.0 in n 6.445 * [taylor]: Taking taylor expansion of (log PI) in n 6.445 * [taylor]: Taking taylor expansion of PI in n 6.451 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))))) in n 6.451 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))))) in n 6.451 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 6.451 * [taylor]: Taking taylor expansion of +nan.0 in n 6.451 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 6.451 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 6.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 6.451 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.451 * [taylor]: Taking taylor expansion of 0.5 in n 6.451 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.451 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.451 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.451 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.451 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.451 * [taylor]: Taking taylor expansion of 1.0 in n 6.451 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.451 * [taylor]: Taking taylor expansion of 2.0 in n 6.453 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.453 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.453 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.453 * [taylor]: Taking taylor expansion of 1.0 in n 6.453 * [taylor]: Taking taylor expansion of (log PI) in n 6.453 * [taylor]: Taking taylor expansion of PI in n 6.455 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.455 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.455 * [taylor]: Taking taylor expansion of 1.0 in n 6.455 * [taylor]: Taking taylor expansion of (log n) in n 6.455 * [taylor]: Taking taylor expansion of n in n 6.460 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.460 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.460 * [taylor]: Taking taylor expansion of 2.0 in n 6.460 * [taylor]: Taking taylor expansion of (* n PI) in n 6.460 * [taylor]: Taking taylor expansion of n in n 6.460 * [taylor]: Taking taylor expansion of PI in n 6.464 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))) in n 6.464 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))) in n 6.464 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 6.464 * [taylor]: Taking taylor expansion of +nan.0 in n 6.464 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 6.464 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.464 * [taylor]: Taking taylor expansion of 2.0 in n 6.464 * [taylor]: Taking taylor expansion of (* n PI) in n 6.464 * [taylor]: Taking taylor expansion of n in n 6.464 * [taylor]: Taking taylor expansion of PI in n 6.468 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 6.468 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 6.468 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.468 * [taylor]: Taking taylor expansion of 0.5 in n 6.468 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.468 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.468 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.468 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.468 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.468 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.468 * [taylor]: Taking taylor expansion of 1.0 in n 6.468 * [taylor]: Taking taylor expansion of (log PI) in n 6.468 * [taylor]: Taking taylor expansion of PI in n 6.470 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.470 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.470 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.470 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.470 * [taylor]: Taking taylor expansion of 1.0 in n 6.470 * [taylor]: Taking taylor expansion of (log n) in n 6.470 * [taylor]: Taking taylor expansion of n in n 6.471 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.471 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.471 * [taylor]: Taking taylor expansion of 1.0 in n 6.471 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.471 * [taylor]: Taking taylor expansion of 2.0 in n 6.477 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) in n 6.477 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) in n 6.477 * [taylor]: Taking taylor expansion of +nan.0 in n 6.477 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))) in n 6.477 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 6.477 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 6.477 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.477 * [taylor]: Taking taylor expansion of 0.5 in n 6.477 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.477 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.477 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.477 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.477 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.477 * [taylor]: Taking taylor expansion of 1.0 in n 6.477 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.477 * [taylor]: Taking taylor expansion of 2.0 in n 6.479 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.479 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.479 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.479 * [taylor]: Taking taylor expansion of 1.0 in n 6.479 * [taylor]: Taking taylor expansion of (log PI) in n 6.479 * [taylor]: Taking taylor expansion of PI in n 6.481 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.481 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.481 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.481 * [taylor]: Taking taylor expansion of 1.0 in n 6.481 * [taylor]: Taking taylor expansion of (log n) in n 6.481 * [taylor]: Taking taylor expansion of n in n 6.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.486 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.486 * [taylor]: Taking taylor expansion of 2.0 in n 6.486 * [taylor]: Taking taylor expansion of (* n PI) in n 6.486 * [taylor]: Taking taylor expansion of n in n 6.486 * [taylor]: Taking taylor expansion of PI in n 6.608 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 6.608 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in n 6.608 * [taylor]: Taking taylor expansion of 1.0 in n 6.608 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 6.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.608 * [taylor]: Taking taylor expansion of k in n 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.608 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.608 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.608 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.608 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.608 * [taylor]: Taking taylor expansion of 0.5 in n 6.608 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.608 * [taylor]: Taking taylor expansion of 1.0 in n 6.608 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.608 * [taylor]: Taking taylor expansion of k in n 6.608 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.608 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.608 * [taylor]: Taking taylor expansion of 2.0 in n 6.608 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.608 * [taylor]: Taking taylor expansion of PI in n 6.608 * [taylor]: Taking taylor expansion of n in n 6.613 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 6.613 * [taylor]: Taking taylor expansion of 1.0 in k 6.613 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.613 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.613 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.613 * [taylor]: Taking taylor expansion of k in k 6.614 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.615 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.615 * [taylor]: Taking taylor expansion of 0.5 in k 6.615 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.615 * [taylor]: Taking taylor expansion of 1.0 in k 6.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.615 * [taylor]: Taking taylor expansion of k in k 6.615 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.615 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.615 * [taylor]: Taking taylor expansion of 2.0 in k 6.615 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.615 * [taylor]: Taking taylor expansion of PI in k 6.615 * [taylor]: Taking taylor expansion of n in k 6.616 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))))) in k 6.616 * [taylor]: Taking taylor expansion of 1.0 in k 6.616 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.616 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.616 * [taylor]: Taking taylor expansion of k in k 6.617 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.618 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.618 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.618 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.618 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.618 * [taylor]: Taking taylor expansion of 0.5 in k 6.618 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.618 * [taylor]: Taking taylor expansion of 1.0 in k 6.618 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.618 * [taylor]: Taking taylor expansion of k in k 6.618 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.618 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.618 * [taylor]: Taking taylor expansion of 2.0 in k 6.618 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.618 * [taylor]: Taking taylor expansion of PI in k 6.618 * [taylor]: Taking taylor expansion of n in k 6.620 * [taylor]: Taking taylor expansion of 0 in n 6.621 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 6.621 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.621 * [taylor]: Taking taylor expansion of +nan.0 in n 6.621 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.621 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.621 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.621 * [taylor]: Taking taylor expansion of 0.5 in n 6.621 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.621 * [taylor]: Taking taylor expansion of 2.0 in n 6.621 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.621 * [taylor]: Taking taylor expansion of PI in n 6.621 * [taylor]: Taking taylor expansion of n in n 6.622 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.622 * [taylor]: Taking taylor expansion of 1.0 in n 6.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.622 * [taylor]: Taking taylor expansion of k in n 6.632 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 6.632 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.632 * [taylor]: Taking taylor expansion of +nan.0 in n 6.632 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.632 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.632 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.632 * [taylor]: Taking taylor expansion of 0.5 in n 6.632 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.632 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.632 * [taylor]: Taking taylor expansion of 2.0 in n 6.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.632 * [taylor]: Taking taylor expansion of PI in n 6.632 * [taylor]: Taking taylor expansion of n in n 6.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.633 * [taylor]: Taking taylor expansion of 1.0 in n 6.633 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.633 * [taylor]: Taking taylor expansion of k in n 6.653 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))))) in n 6.653 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.653 * [taylor]: Taking taylor expansion of +nan.0 in n 6.653 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.653 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.653 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.653 * [taylor]: Taking taylor expansion of 0.5 in n 6.653 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.653 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.653 * [taylor]: Taking taylor expansion of 2.0 in n 6.653 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.653 * [taylor]: Taking taylor expansion of PI in n 6.653 * [taylor]: Taking taylor expansion of n in n 6.654 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.654 * [taylor]: Taking taylor expansion of 1.0 in n 6.654 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.654 * [taylor]: Taking taylor expansion of k in n 6.664 * [approximate]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 6.664 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in n 6.664 * [taylor]: Taking taylor expansion of 1.0 in n 6.664 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 6.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.664 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.664 * [taylor]: Taking taylor expansion of -1 in n 6.664 * [taylor]: Taking taylor expansion of k in n 6.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.664 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.664 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.664 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.664 * [taylor]: Taking taylor expansion of 0.5 in n 6.664 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.664 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.664 * [taylor]: Taking taylor expansion of k in n 6.664 * [taylor]: Taking taylor expansion of 1.0 in n 6.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.664 * [taylor]: Taking taylor expansion of -2.0 in n 6.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.664 * [taylor]: Taking taylor expansion of PI in n 6.664 * [taylor]: Taking taylor expansion of n in n 6.669 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 6.669 * [taylor]: Taking taylor expansion of 1.0 in k 6.669 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.669 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.669 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.669 * [taylor]: Taking taylor expansion of -1 in k 6.669 * [taylor]: Taking taylor expansion of k in k 6.670 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.670 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.670 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.670 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.670 * [taylor]: Taking taylor expansion of 0.5 in k 6.670 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.670 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.670 * [taylor]: Taking taylor expansion of k in k 6.670 * [taylor]: Taking taylor expansion of 1.0 in k 6.670 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.670 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.670 * [taylor]: Taking taylor expansion of -2.0 in k 6.671 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.671 * [taylor]: Taking taylor expansion of PI in k 6.671 * [taylor]: Taking taylor expansion of n in k 6.671 * [taylor]: Taking taylor expansion of (* 1.0 (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 6.671 * [taylor]: Taking taylor expansion of 1.0 in k 6.671 * [taylor]: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.672 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.672 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.672 * [taylor]: Taking taylor expansion of -1 in k 6.672 * [taylor]: Taking taylor expansion of k in k 6.673 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.673 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.673 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.673 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.673 * [taylor]: Taking taylor expansion of 0.5 in k 6.673 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.673 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.673 * [taylor]: Taking taylor expansion of k in k 6.673 * [taylor]: Taking taylor expansion of 1.0 in k 6.673 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.673 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.673 * [taylor]: Taking taylor expansion of -2.0 in k 6.673 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.673 * [taylor]: Taking taylor expansion of PI in k 6.673 * [taylor]: Taking taylor expansion of n in k 6.674 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.674 * [taylor]: Taking taylor expansion of +nan.0 in n 6.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.675 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.675 * [taylor]: Taking taylor expansion of 0.5 in n 6.675 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.675 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.675 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.675 * [taylor]: Taking taylor expansion of k in n 6.675 * [taylor]: Taking taylor expansion of 1.0 in n 6.675 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.675 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.675 * [taylor]: Taking taylor expansion of -2.0 in n 6.675 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.675 * [taylor]: Taking taylor expansion of PI in n 6.675 * [taylor]: Taking taylor expansion of n in n 6.689 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 6.689 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.689 * [taylor]: Taking taylor expansion of +nan.0 in n 6.689 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.689 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.689 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.689 * [taylor]: Taking taylor expansion of 0.5 in n 6.689 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.689 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.689 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.689 * [taylor]: Taking taylor expansion of k in n 6.689 * [taylor]: Taking taylor expansion of 1.0 in n 6.689 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.689 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.689 * [taylor]: Taking taylor expansion of -2.0 in n 6.689 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.689 * [taylor]: Taking taylor expansion of PI in n 6.689 * [taylor]: Taking taylor expansion of n in n 6.708 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 6.708 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 6.708 * [taylor]: Taking taylor expansion of +nan.0 in n 6.708 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 6.708 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 6.708 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 6.708 * [taylor]: Taking taylor expansion of 0.5 in n 6.709 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 6.709 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.709 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.709 * [taylor]: Taking taylor expansion of k in n 6.709 * [taylor]: Taking taylor expansion of 1.0 in n 6.709 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.709 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.709 * [taylor]: Taking taylor expansion of -2.0 in n 6.709 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.709 * [taylor]: Taking taylor expansion of PI in n 6.709 * [taylor]: Taking taylor expansion of n in n 6.719 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.719 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 6.719 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 6.719 * [taylor]: Taking taylor expansion of 1.0 in n 6.719 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 6.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.719 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.719 * [taylor]: Taking taylor expansion of k in n 6.720 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 6.720 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 6.720 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 6.720 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 6.720 * [taylor]: Taking taylor expansion of 0.5 in n 6.720 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 6.720 * [taylor]: Taking taylor expansion of 1.0 in n 6.720 * [taylor]: Taking taylor expansion of k in n 6.720 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.720 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.720 * [taylor]: Taking taylor expansion of 2.0 in n 6.720 * [taylor]: Taking taylor expansion of (* n PI) in n 6.720 * [taylor]: Taking taylor expansion of n in n 6.720 * [taylor]: Taking taylor expansion of PI in n 6.725 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 6.725 * [taylor]: Taking taylor expansion of 1.0 in k 6.725 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.725 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.725 * [taylor]: Taking taylor expansion of k in k 6.726 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.726 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.726 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.726 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.726 * [taylor]: Taking taylor expansion of 0.5 in k 6.726 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.727 * [taylor]: Taking taylor expansion of 1.0 in k 6.727 * [taylor]: Taking taylor expansion of k in k 6.727 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.727 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.727 * [taylor]: Taking taylor expansion of 2.0 in k 6.727 * [taylor]: Taking taylor expansion of (* n PI) in k 6.727 * [taylor]: Taking taylor expansion of n in k 6.727 * [taylor]: Taking taylor expansion of PI in k 6.728 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 6.728 * [taylor]: Taking taylor expansion of 1.0 in k 6.728 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 6.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.728 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.728 * [taylor]: Taking taylor expansion of k in k 6.729 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 6.729 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 6.729 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 6.729 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 6.729 * [taylor]: Taking taylor expansion of 0.5 in k 6.729 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 6.729 * [taylor]: Taking taylor expansion of 1.0 in k 6.729 * [taylor]: Taking taylor expansion of k in k 6.729 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.729 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.729 * [taylor]: Taking taylor expansion of 2.0 in k 6.729 * [taylor]: Taking taylor expansion of (* n PI) in k 6.729 * [taylor]: Taking taylor expansion of n in k 6.729 * [taylor]: Taking taylor expansion of PI in k 6.730 * [taylor]: Taking taylor expansion of 0 in n 6.736 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.736 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.736 * [taylor]: Taking taylor expansion of +nan.0 in n 6.736 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.736 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.736 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.736 * [taylor]: Taking taylor expansion of 0.5 in n 6.736 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.736 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.736 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.736 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.736 * [taylor]: Taking taylor expansion of 1.0 in n 6.736 * [taylor]: Taking taylor expansion of (log PI) in n 6.736 * [taylor]: Taking taylor expansion of PI in n 6.738 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.738 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.738 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.738 * [taylor]: Taking taylor expansion of 1.0 in n 6.738 * [taylor]: Taking taylor expansion of (log n) in n 6.738 * [taylor]: Taking taylor expansion of n in n 6.738 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.738 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.738 * [taylor]: Taking taylor expansion of 1.0 in n 6.738 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.738 * [taylor]: Taking taylor expansion of 2.0 in n 6.757 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 6.757 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 6.757 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.757 * [taylor]: Taking taylor expansion of +nan.0 in n 6.758 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.758 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.758 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.758 * [taylor]: Taking taylor expansion of 0.5 in n 6.758 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.758 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.758 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.758 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.758 * [taylor]: Taking taylor expansion of 1.0 in n 6.758 * [taylor]: Taking taylor expansion of (log PI) in n 6.758 * [taylor]: Taking taylor expansion of PI in n 6.760 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.760 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.760 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.760 * [taylor]: Taking taylor expansion of 1.0 in n 6.760 * [taylor]: Taking taylor expansion of (log n) in n 6.760 * [taylor]: Taking taylor expansion of n in n 6.760 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.760 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.760 * [taylor]: Taking taylor expansion of 1.0 in n 6.760 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.760 * [taylor]: Taking taylor expansion of 2.0 in n 6.766 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 6.766 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 6.766 * [taylor]: Taking taylor expansion of +nan.0 in n 6.766 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 6.766 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.766 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.766 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.766 * [taylor]: Taking taylor expansion of 0.5 in n 6.766 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.766 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.766 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.766 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.766 * [taylor]: Taking taylor expansion of 1.0 in n 6.766 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.766 * [taylor]: Taking taylor expansion of 2.0 in n 6.774 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.774 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.774 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.774 * [taylor]: Taking taylor expansion of 1.0 in n 6.774 * [taylor]: Taking taylor expansion of (log PI) in n 6.774 * [taylor]: Taking taylor expansion of PI in n 6.776 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.776 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.776 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.776 * [taylor]: Taking taylor expansion of 1.0 in n 6.776 * [taylor]: Taking taylor expansion of (log n) in n 6.776 * [taylor]: Taking taylor expansion of n in n 6.780 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.780 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.780 * [taylor]: Taking taylor expansion of 2.0 in n 6.780 * [taylor]: Taking taylor expansion of (* n PI) in n 6.780 * [taylor]: Taking taylor expansion of n in n 6.780 * [taylor]: Taking taylor expansion of PI in n 6.829 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 6.829 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 6.829 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 6.829 * [taylor]: Taking taylor expansion of +nan.0 in n 6.829 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 6.829 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 6.829 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 6.829 * [taylor]: Taking taylor expansion of 0.5 in n 6.829 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 6.829 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 6.829 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.829 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.829 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.829 * [taylor]: Taking taylor expansion of 1.0 in n 6.829 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.829 * [taylor]: Taking taylor expansion of 2.0 in n 6.831 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 6.831 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.831 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.831 * [taylor]: Taking taylor expansion of 1.0 in n 6.831 * [taylor]: Taking taylor expansion of (log n) in n 6.831 * [taylor]: Taking taylor expansion of n in n 6.832 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.832 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.832 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.832 * [taylor]: Taking taylor expansion of 1.0 in n 6.832 * [taylor]: Taking taylor expansion of (log PI) in n 6.832 * [taylor]: Taking taylor expansion of PI in n 6.837 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 6.837 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 6.837 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 6.837 * [taylor]: Taking taylor expansion of +nan.0 in n 6.837 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 6.837 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.837 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.837 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.838 * [taylor]: Taking taylor expansion of 0.5 in n 6.838 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.838 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.838 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.838 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.838 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.838 * [taylor]: Taking taylor expansion of 1.0 in n 6.838 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.838 * [taylor]: Taking taylor expansion of 2.0 in n 6.839 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.839 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.839 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.839 * [taylor]: Taking taylor expansion of 1.0 in n 6.839 * [taylor]: Taking taylor expansion of (log PI) in n 6.839 * [taylor]: Taking taylor expansion of PI in n 6.841 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.841 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.841 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.841 * [taylor]: Taking taylor expansion of 1.0 in n 6.841 * [taylor]: Taking taylor expansion of (log n) in n 6.841 * [taylor]: Taking taylor expansion of n in n 6.845 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.846 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.846 * [taylor]: Taking taylor expansion of 2.0 in n 6.846 * [taylor]: Taking taylor expansion of (* n PI) in n 6.846 * [taylor]: Taking taylor expansion of n in n 6.846 * [taylor]: Taking taylor expansion of PI in n 6.849 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 6.849 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 6.849 * [taylor]: Taking taylor expansion of +nan.0 in n 6.849 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 6.849 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.849 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.849 * [taylor]: Taking taylor expansion of 0.5 in n 6.849 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.849 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.849 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.849 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.849 * [taylor]: Taking taylor expansion of 1.0 in n 6.849 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.849 * [taylor]: Taking taylor expansion of 2.0 in n 6.851 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.851 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.851 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.851 * [taylor]: Taking taylor expansion of 1.0 in n 6.851 * [taylor]: Taking taylor expansion of (log PI) in n 6.851 * [taylor]: Taking taylor expansion of PI in n 6.853 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.853 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.853 * [taylor]: Taking taylor expansion of 1.0 in n 6.853 * [taylor]: Taking taylor expansion of (log n) in n 6.853 * [taylor]: Taking taylor expansion of n in n 6.857 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 6.857 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.857 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.857 * [taylor]: Taking taylor expansion of 2.0 in n 6.857 * [taylor]: Taking taylor expansion of (* n PI) in n 6.857 * [taylor]: Taking taylor expansion of n in n 6.857 * [taylor]: Taking taylor expansion of PI in n 6.935 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 6.935 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 6.935 * [taylor]: Taking taylor expansion of 1.0 in n 6.935 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.935 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.935 * [taylor]: Taking taylor expansion of k in n 6.935 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.935 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 6.935 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 6.935 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.935 * [taylor]: Taking taylor expansion of 0.5 in n 6.935 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.935 * [taylor]: Taking taylor expansion of 1.0 in n 6.935 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.935 * [taylor]: Taking taylor expansion of k in n 6.935 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.935 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.935 * [taylor]: Taking taylor expansion of 2.0 in n 6.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.935 * [taylor]: Taking taylor expansion of PI in n 6.935 * [taylor]: Taking taylor expansion of n in n 6.939 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.939 * [taylor]: Taking taylor expansion of 1.0 in k 6.939 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.939 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.939 * [taylor]: Taking taylor expansion of k in k 6.940 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.940 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.940 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.940 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.940 * [taylor]: Taking taylor expansion of 0.5 in k 6.940 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.940 * [taylor]: Taking taylor expansion of 1.0 in k 6.940 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.940 * [taylor]: Taking taylor expansion of k in k 6.941 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.941 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.941 * [taylor]: Taking taylor expansion of 2.0 in k 6.941 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.941 * [taylor]: Taking taylor expansion of PI in k 6.941 * [taylor]: Taking taylor expansion of n in k 6.942 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.942 * [taylor]: Taking taylor expansion of 1.0 in k 6.942 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.942 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.942 * [taylor]: Taking taylor expansion of k in k 6.943 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 6.943 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 6.943 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.943 * [taylor]: Taking taylor expansion of 0.5 in k 6.943 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.943 * [taylor]: Taking taylor expansion of 1.0 in k 6.943 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.943 * [taylor]: Taking taylor expansion of k in k 6.943 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.943 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.943 * [taylor]: Taking taylor expansion of 2.0 in k 6.943 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.943 * [taylor]: Taking taylor expansion of PI in k 6.943 * [taylor]: Taking taylor expansion of n in k 6.950 * [taylor]: Taking taylor expansion of 0 in n 6.951 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.951 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.951 * [taylor]: Taking taylor expansion of +nan.0 in n 6.951 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.951 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.951 * [taylor]: Taking taylor expansion of 0.5 in n 6.951 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.951 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.951 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.951 * [taylor]: Taking taylor expansion of 2.0 in n 6.951 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.951 * [taylor]: Taking taylor expansion of PI in n 6.951 * [taylor]: Taking taylor expansion of n in n 6.952 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.952 * [taylor]: Taking taylor expansion of 1.0 in n 6.952 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.952 * [taylor]: Taking taylor expansion of k in n 6.961 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.961 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.961 * [taylor]: Taking taylor expansion of +nan.0 in n 6.961 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.961 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.961 * [taylor]: Taking taylor expansion of 0.5 in n 6.961 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.961 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.961 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.961 * [taylor]: Taking taylor expansion of 2.0 in n 6.961 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.961 * [taylor]: Taking taylor expansion of PI in n 6.961 * [taylor]: Taking taylor expansion of n in n 6.962 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.962 * [taylor]: Taking taylor expansion of 1.0 in n 6.962 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.962 * [taylor]: Taking taylor expansion of k in n 6.979 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 6.979 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 6.979 * [taylor]: Taking taylor expansion of +nan.0 in n 6.979 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 6.979 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 6.979 * [taylor]: Taking taylor expansion of 0.5 in n 6.979 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 6.979 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.979 * [taylor]: Taking taylor expansion of 2.0 in n 6.979 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.979 * [taylor]: Taking taylor expansion of PI in n 6.979 * [taylor]: Taking taylor expansion of n in n 6.981 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.981 * [taylor]: Taking taylor expansion of 1.0 in n 6.981 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.981 * [taylor]: Taking taylor expansion of k in n 6.989 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 6.989 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 6.989 * [taylor]: Taking taylor expansion of 1.0 in n 6.989 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 6.989 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.989 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 6.989 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 6.989 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.989 * [taylor]: Taking taylor expansion of 0.5 in n 6.989 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.989 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.989 * [taylor]: Taking taylor expansion of k in n 6.990 * [taylor]: Taking taylor expansion of 1.0 in n 6.990 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.990 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.990 * [taylor]: Taking taylor expansion of -2.0 in n 6.990 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.990 * [taylor]: Taking taylor expansion of PI in n 6.990 * [taylor]: Taking taylor expansion of n in n 6.993 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.993 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.993 * [taylor]: Taking taylor expansion of -1 in n 6.993 * [taylor]: Taking taylor expansion of k in n 6.994 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.994 * [taylor]: Taking taylor expansion of 1.0 in k 6.994 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.994 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.994 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.994 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.994 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.994 * [taylor]: Taking taylor expansion of 0.5 in k 6.994 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.994 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.994 * [taylor]: Taking taylor expansion of k in k 6.995 * [taylor]: Taking taylor expansion of 1.0 in k 6.995 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.995 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.995 * [taylor]: Taking taylor expansion of -2.0 in k 6.995 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.995 * [taylor]: Taking taylor expansion of PI in k 6.995 * [taylor]: Taking taylor expansion of n in k 6.996 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.996 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.996 * [taylor]: Taking taylor expansion of -1 in k 6.996 * [taylor]: Taking taylor expansion of k in k 6.997 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 6.997 * [taylor]: Taking taylor expansion of 1.0 in k 6.997 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 6.997 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.997 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 6.997 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 6.997 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.997 * [taylor]: Taking taylor expansion of 0.5 in k 6.997 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.997 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.997 * [taylor]: Taking taylor expansion of k in k 6.998 * [taylor]: Taking taylor expansion of 1.0 in k 6.998 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.998 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.998 * [taylor]: Taking taylor expansion of -2.0 in k 6.998 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.998 * [taylor]: Taking taylor expansion of PI in k 6.998 * [taylor]: Taking taylor expansion of n in k 6.999 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.999 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.999 * [taylor]: Taking taylor expansion of -1 in k 6.999 * [taylor]: Taking taylor expansion of k in k 7.000 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 7.000 * [taylor]: Taking taylor expansion of +nan.0 in n 7.000 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 7.000 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 7.000 * [taylor]: Taking taylor expansion of 0.5 in n 7.000 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 7.000 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.000 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.000 * [taylor]: Taking taylor expansion of k in n 7.001 * [taylor]: Taking taylor expansion of 1.0 in n 7.001 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.001 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.001 * [taylor]: Taking taylor expansion of -2.0 in n 7.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.001 * [taylor]: Taking taylor expansion of PI in n 7.001 * [taylor]: Taking taylor expansion of n in n 7.009 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 7.009 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 7.009 * [taylor]: Taking taylor expansion of +nan.0 in n 7.009 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 7.009 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 7.009 * [taylor]: Taking taylor expansion of 0.5 in n 7.009 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 7.009 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.010 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.010 * [taylor]: Taking taylor expansion of k in n 7.010 * [taylor]: Taking taylor expansion of 1.0 in n 7.010 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.010 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.010 * [taylor]: Taking taylor expansion of -2.0 in n 7.010 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.010 * [taylor]: Taking taylor expansion of PI in n 7.010 * [taylor]: Taking taylor expansion of n in n 7.027 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 7.027 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 7.027 * [taylor]: Taking taylor expansion of +nan.0 in n 7.027 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 7.027 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 7.027 * [taylor]: Taking taylor expansion of 0.5 in n 7.027 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 7.027 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.027 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.027 * [taylor]: Taking taylor expansion of k in n 7.027 * [taylor]: Taking taylor expansion of 1.0 in n 7.027 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.027 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.027 * [taylor]: Taking taylor expansion of -2.0 in n 7.027 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.027 * [taylor]: Taking taylor expansion of PI in n 7.027 * [taylor]: Taking taylor expansion of n in n 7.042 * * * [progress]: simplifying candidates 7.045 * [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 (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log1p (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (log (sqrt k)) (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (sqrt k)) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (log (sqrt k)) (log (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (exp (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (sqrt k) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 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4443 ) 7.226 * * [simplify]: iteration 1 : 1290 enodes (cost 4049 ) 7.785 * * [simplify]: iteration 2 : 4275 enodes (cost 3673 ) 8.745 * * [simplify]: iteration done : 5000 enodes (cost 3673 ) 8.747 * [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 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* (* 2.0 PI) 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(* 2.0 (* n PI)) (- (+ (- (* +nan.0 (* k (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (+ (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5)))) (+ (- (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (- (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (* +nan.0 (- (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5)))))))))) (- (- (/ (/ +nan.0 k) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k))) (- (/ +nan.0 (* (pow k 2) (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))) (/ +nan.0 (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)))))) (- (- (/ +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (/ (/ +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k) (/ +nan.0 (* (pow k 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))))) (- (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (+ (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (+ (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (fma (* +nan.0 (* k (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (+ (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (pow k 2)) (* +nan.0 k))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))) (+ (* (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 3)) (- +nan.0)) (* +nan.0 (- (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) k) (/ (pow (pow (* 2.0 (* n PI)) 0.5) (- 1.0 k)) (pow k 2))))) (+ (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) 8.749 * * * [progress]: adding candidates to table 9.111 * * [progress]: iteration 4 / 4 9.111 * * * [progress]: picking best candidate 9.134 * * * * [pick]: Picked # 9.134 * * * [progress]: localizing error 9.150 * * * [progress]: generating rewritten candidates 9.150 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 9.159 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 9.166 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 9.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.417 * * * [progress]: generating series expansions 9.417 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 9.418 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 9.418 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.418 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.418 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.418 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.418 * [taylor]: Taking taylor expansion of 0.5 in k 9.418 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.418 * [taylor]: Taking taylor expansion of 1.0 in k 9.418 * [taylor]: Taking taylor expansion of k in k 9.418 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.418 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.418 * [taylor]: Taking taylor expansion of 2.0 in k 9.418 * [taylor]: Taking taylor expansion of (* n PI) in k 9.418 * [taylor]: Taking taylor expansion of n in k 9.418 * [taylor]: Taking taylor expansion of PI in k 9.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.419 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.419 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.420 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.420 * [taylor]: Taking taylor expansion of 0.5 in n 9.420 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.420 * [taylor]: Taking taylor expansion of 1.0 in n 9.420 * [taylor]: Taking taylor expansion of k in n 9.420 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.420 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.420 * [taylor]: Taking taylor expansion of 2.0 in n 9.420 * [taylor]: Taking taylor expansion of (* n PI) in n 9.420 * [taylor]: Taking taylor expansion of n in n 9.420 * [taylor]: Taking taylor expansion of PI in n 9.425 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.425 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.425 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.425 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.425 * [taylor]: Taking taylor expansion of 0.5 in n 9.425 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.425 * [taylor]: Taking taylor expansion of 1.0 in n 9.425 * [taylor]: Taking taylor expansion of k in n 9.425 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.425 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.425 * [taylor]: Taking taylor expansion of 2.0 in n 9.425 * [taylor]: Taking taylor expansion of (* n PI) in n 9.425 * [taylor]: Taking taylor expansion of n in n 9.425 * [taylor]: Taking taylor expansion of PI in n 9.430 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 9.431 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 9.431 * [taylor]: Taking taylor expansion of 0.5 in k 9.431 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 9.431 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.431 * [taylor]: Taking taylor expansion of 1.0 in k 9.431 * [taylor]: Taking taylor expansion of k in k 9.431 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 9.431 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.431 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.431 * [taylor]: Taking taylor expansion of 2.0 in k 9.431 * [taylor]: Taking taylor expansion of PI in k 9.432 * [taylor]: Taking taylor expansion of (log n) in k 9.432 * [taylor]: Taking taylor expansion of n in k 9.447 * [taylor]: Taking taylor expansion of 0 in k 9.462 * [taylor]: Taking taylor expansion of 0 in k 9.480 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 9.481 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.481 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.481 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.481 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.481 * [taylor]: Taking taylor expansion of 0.5 in k 9.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.481 * [taylor]: Taking taylor expansion of 1.0 in k 9.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.481 * [taylor]: Taking taylor expansion of k in k 9.481 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.481 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.481 * [taylor]: Taking taylor expansion of 2.0 in k 9.481 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.481 * [taylor]: Taking taylor expansion of PI in k 9.481 * [taylor]: Taking taylor expansion of n in k 9.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.482 * [taylor]: Taking taylor expansion of 0.5 in n 9.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.482 * [taylor]: Taking taylor expansion of 1.0 in n 9.482 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.482 * [taylor]: Taking taylor expansion of k in n 9.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.482 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.482 * [taylor]: Taking taylor expansion of 2.0 in n 9.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.482 * [taylor]: Taking taylor expansion of PI in n 9.482 * [taylor]: Taking taylor expansion of n in n 9.486 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.486 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.486 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.486 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.486 * [taylor]: Taking taylor expansion of 0.5 in n 9.486 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.486 * [taylor]: Taking taylor expansion of 1.0 in n 9.486 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.486 * [taylor]: Taking taylor expansion of k in n 9.486 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.486 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.486 * [taylor]: Taking taylor expansion of 2.0 in n 9.486 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.486 * [taylor]: Taking taylor expansion of PI in n 9.486 * [taylor]: Taking taylor expansion of n in n 9.490 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 9.490 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 9.490 * [taylor]: Taking taylor expansion of 0.5 in k 9.490 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 9.490 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 9.490 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 9.490 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 9.490 * [taylor]: Taking taylor expansion of 2.0 in k 9.490 * [taylor]: Taking taylor expansion of PI in k 9.491 * [taylor]: Taking taylor expansion of (log n) in k 9.491 * [taylor]: Taking taylor expansion of n in k 9.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.491 * [taylor]: Taking taylor expansion of 1.0 in k 9.491 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.491 * [taylor]: Taking taylor expansion of k in k 9.500 * [taylor]: Taking taylor expansion of 0 in k 9.507 * [taylor]: Taking taylor expansion of 0 in k 9.516 * [taylor]: Taking taylor expansion of 0 in k 9.517 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 9.517 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 9.517 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 9.517 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 9.517 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 9.517 * [taylor]: Taking taylor expansion of 0.5 in k 9.517 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.517 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.517 * [taylor]: Taking taylor expansion of k in k 9.517 * [taylor]: Taking taylor expansion of 1.0 in k 9.517 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 9.517 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 9.517 * [taylor]: Taking taylor expansion of -2.0 in k 9.517 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.517 * [taylor]: Taking taylor expansion of PI in k 9.517 * [taylor]: Taking taylor expansion of n in k 9.518 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.518 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.518 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.518 * [taylor]: Taking taylor expansion of 0.5 in n 9.518 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.518 * [taylor]: Taking taylor expansion of k in n 9.518 * [taylor]: Taking taylor expansion of 1.0 in n 9.518 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.518 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.518 * [taylor]: Taking taylor expansion of -2.0 in n 9.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.518 * [taylor]: Taking taylor expansion of PI in n 9.518 * [taylor]: Taking taylor expansion of n in n 9.525 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 9.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 9.525 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 9.525 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 9.525 * [taylor]: Taking taylor expansion of 0.5 in n 9.525 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 9.525 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.525 * [taylor]: Taking taylor expansion of k in n 9.525 * [taylor]: Taking taylor expansion of 1.0 in n 9.525 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 9.525 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.525 * [taylor]: Taking taylor expansion of -2.0 in n 9.525 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.525 * [taylor]: Taking taylor expansion of PI in n 9.525 * [taylor]: Taking taylor expansion of n in n 9.529 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 9.529 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 9.529 * [taylor]: Taking taylor expansion of 0.5 in k 9.529 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 9.529 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 9.529 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.529 * [taylor]: Taking taylor expansion of k in k 9.529 * [taylor]: Taking taylor expansion of 1.0 in k 9.529 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 9.529 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 9.529 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 9.529 * [taylor]: Taking taylor expansion of -2.0 in k 9.529 * [taylor]: Taking taylor expansion of PI in k 9.530 * [taylor]: Taking taylor expansion of (log n) in k 9.530 * [taylor]: Taking taylor expansion of n in k 9.539 * [taylor]: Taking taylor expansion of 0 in k 9.546 * [taylor]: Taking taylor expansion of 0 in k 9.554 * [taylor]: Taking taylor expansion of 0 in k 9.555 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 9.555 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 9.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.555 * [taylor]: Taking taylor expansion of 2.0 in n 9.555 * [taylor]: Taking taylor expansion of (* n PI) in n 9.555 * [taylor]: Taking taylor expansion of n in n 9.555 * [taylor]: Taking taylor expansion of PI in n 9.555 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.555 * [taylor]: Taking taylor expansion of 2.0 in n 9.555 * [taylor]: Taking taylor expansion of (* n PI) in n 9.555 * [taylor]: Taking taylor expansion of n in n 9.555 * [taylor]: Taking taylor expansion of PI in n 9.567 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 9.567 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.567 * [taylor]: Taking taylor expansion of 2.0 in n 9.567 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.567 * [taylor]: Taking taylor expansion of PI in n 9.567 * [taylor]: Taking taylor expansion of n in n 9.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.568 * [taylor]: Taking taylor expansion of 2.0 in n 9.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.568 * [taylor]: Taking taylor expansion of PI in n 9.568 * [taylor]: Taking taylor expansion of n in n 9.576 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 9.576 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.576 * [taylor]: Taking taylor expansion of -2.0 in n 9.576 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.577 * [taylor]: Taking taylor expansion of PI in n 9.577 * [taylor]: Taking taylor expansion of n in n 9.577 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 9.577 * [taylor]: Taking taylor expansion of -2.0 in n 9.577 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.577 * [taylor]: Taking taylor expansion of PI in n 9.577 * [taylor]: Taking taylor expansion of n in n 9.585 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.586 * [approximate]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in (k) around 0 9.586 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 9.586 * [taylor]: Taking taylor expansion of 1.0 in k 9.586 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 9.586 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 9.586 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 9.586 * [taylor]: Taking taylor expansion of 1/4 in k 9.586 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.586 * [taylor]: Taking taylor expansion of k in k 9.587 * [taylor]: Taking taylor expansion of (* 1.0 (pow (/ 1 k) 1/4)) in k 9.587 * [taylor]: Taking taylor expansion of 1.0 in k 9.587 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 9.587 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 9.587 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 9.587 * [taylor]: Taking taylor expansion of 1/4 in k 9.587 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 9.587 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.587 * [taylor]: Taking taylor expansion of k in k 9.644 * [approximate]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in (k) around 0 9.644 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 9.644 * [taylor]: Taking taylor expansion of 1.0 in k 9.644 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 9.644 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 9.644 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 9.644 * [taylor]: Taking taylor expansion of 1/4 in k 9.644 * [taylor]: Taking taylor expansion of (log k) in k 9.644 * [taylor]: Taking taylor expansion of k in k 9.645 * [taylor]: Taking taylor expansion of (* 1.0 (pow k 1/4)) in k 9.645 * [taylor]: Taking taylor expansion of 1.0 in k 9.645 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 9.645 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 9.645 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 9.645 * [taylor]: Taking taylor expansion of 1/4 in k 9.645 * [taylor]: Taking taylor expansion of (log k) in k 9.645 * [taylor]: Taking taylor expansion of k in k 9.699 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in (k) around 0 9.699 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 9.699 * [taylor]: Taking taylor expansion of 1.0 in k 9.699 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 9.699 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.699 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.699 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.699 * [taylor]: Taking taylor expansion of -1 in k 9.699 * [taylor]: Taking taylor expansion of k in k 9.706 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 (sqrt (/ -1 k))))) in k 9.706 * [taylor]: Taking taylor expansion of 1.0 in k 9.706 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 9.706 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 9.706 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 9.706 * [taylor]: Taking taylor expansion of (/ -1 k) in k 9.706 * [taylor]: Taking taylor expansion of -1 in k 9.706 * [taylor]: Taking taylor expansion of k in k 9.742 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.742 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 9.742 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 9.742 * [taylor]: Taking taylor expansion of 1.0 in n 9.742 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 9.742 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 9.742 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.742 * [taylor]: Taking taylor expansion of k in n 9.748 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 9.748 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 9.748 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 9.748 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 9.748 * [taylor]: Taking taylor expansion of 0.5 in n 9.748 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 9.748 * [taylor]: Taking taylor expansion of 1.0 in n 9.748 * [taylor]: Taking taylor expansion of k in n 9.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.748 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.748 * [taylor]: Taking taylor expansion of 2.0 in n 9.748 * [taylor]: Taking taylor expansion of (* n PI) in n 9.748 * [taylor]: Taking taylor expansion of n in n 9.748 * [taylor]: Taking taylor expansion of PI in n 9.753 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 9.753 * [taylor]: Taking taylor expansion of 1.0 in k 9.753 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 9.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.753 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.753 * [taylor]: Taking taylor expansion of k in k 9.755 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.755 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.755 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.755 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.755 * [taylor]: Taking taylor expansion of 0.5 in k 9.755 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.755 * [taylor]: Taking taylor expansion of 1.0 in k 9.755 * [taylor]: Taking taylor expansion of k in k 9.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.755 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.755 * [taylor]: Taking taylor expansion of 2.0 in k 9.755 * [taylor]: Taking taylor expansion of (* n PI) in k 9.755 * [taylor]: Taking taylor expansion of n in k 9.755 * [taylor]: Taking taylor expansion of PI in k 9.756 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 9.756 * [taylor]: Taking taylor expansion of 1.0 in k 9.756 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 9.756 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 9.756 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.756 * [taylor]: Taking taylor expansion of k in k 9.757 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 9.757 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 9.757 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 9.757 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 9.757 * [taylor]: Taking taylor expansion of 0.5 in k 9.757 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 9.757 * [taylor]: Taking taylor expansion of 1.0 in k 9.757 * [taylor]: Taking taylor expansion of k in k 9.757 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 9.757 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 9.757 * [taylor]: Taking taylor expansion of 2.0 in k 9.757 * [taylor]: Taking taylor expansion of (* n PI) in k 9.757 * [taylor]: Taking taylor expansion of n in k 9.757 * [taylor]: Taking taylor expansion of PI in k 9.759 * [taylor]: Taking taylor expansion of 0 in n 9.764 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 9.764 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.764 * [taylor]: Taking taylor expansion of +nan.0 in n 9.764 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.764 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.764 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.764 * [taylor]: Taking taylor expansion of 0.5 in n 9.764 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.764 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.764 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.764 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.764 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.764 * [taylor]: Taking taylor expansion of 1.0 in n 9.764 * [taylor]: Taking taylor expansion of (log PI) in n 9.764 * [taylor]: Taking taylor expansion of PI in n 9.766 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.766 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.766 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.766 * [taylor]: Taking taylor expansion of 1.0 in n 9.766 * [taylor]: Taking taylor expansion of (log n) in n 9.766 * [taylor]: Taking taylor expansion of n in n 9.766 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.766 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.766 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.766 * [taylor]: Taking taylor expansion of 1.0 in n 9.766 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.766 * [taylor]: Taking taylor expansion of 2.0 in n 9.785 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 9.785 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 9.785 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 9.785 * [taylor]: Taking taylor expansion of +nan.0 in n 9.785 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 9.785 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 9.785 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 9.785 * [taylor]: Taking taylor expansion of 0.5 in n 9.785 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 9.785 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 9.785 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.785 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.785 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.785 * [taylor]: Taking taylor expansion of 1.0 in n 9.785 * [taylor]: Taking taylor expansion of (log PI) in n 9.785 * [taylor]: Taking taylor expansion of PI in n 9.787 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 9.787 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.787 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.787 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.787 * [taylor]: Taking taylor expansion of 1.0 in n 9.787 * [taylor]: Taking taylor expansion of (log n) in n 9.787 * [taylor]: Taking taylor expansion of n in n 9.788 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.788 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.788 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.788 * [taylor]: Taking taylor expansion of 1.0 in n 9.788 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.788 * [taylor]: Taking taylor expansion of 2.0 in n 9.793 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 9.793 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 9.793 * [taylor]: Taking taylor expansion of +nan.0 in n 9.793 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 9.793 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.793 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.793 * [taylor]: Taking taylor expansion of 0.5 in n 9.793 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.793 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.793 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.793 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.793 * [taylor]: Taking taylor expansion of 1.0 in n 9.793 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.793 * [taylor]: Taking taylor expansion of 2.0 in n 9.795 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.795 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.795 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.795 * [taylor]: Taking taylor expansion of 1.0 in n 9.795 * [taylor]: Taking taylor expansion of (log PI) in n 9.795 * [taylor]: Taking taylor expansion of PI in n 9.797 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.797 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.797 * [taylor]: Taking taylor expansion of 1.0 in n 9.797 * [taylor]: Taking taylor expansion of (log n) in n 9.797 * [taylor]: Taking taylor expansion of n in n 9.801 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.801 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.801 * [taylor]: Taking taylor expansion of 2.0 in n 9.801 * [taylor]: Taking taylor expansion of (* n PI) in n 9.801 * [taylor]: Taking taylor expansion of n in n 9.801 * [taylor]: Taking taylor expansion of PI in n 9.855 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 9.856 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 9.856 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 9.856 * [taylor]: Taking taylor expansion of +nan.0 in n 9.856 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 9.856 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 9.856 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 9.856 * [taylor]: Taking taylor expansion of 0.5 in n 9.856 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 9.856 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 9.856 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.856 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.856 * [taylor]: Taking taylor expansion of 1.0 in n 9.856 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.856 * [taylor]: Taking taylor expansion of 2.0 in n 9.858 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 9.858 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.858 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.858 * [taylor]: Taking taylor expansion of 1.0 in n 9.858 * [taylor]: Taking taylor expansion of (log n) in n 9.858 * [taylor]: Taking taylor expansion of n in n 9.858 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.858 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.858 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.858 * [taylor]: Taking taylor expansion of 1.0 in n 9.858 * [taylor]: Taking taylor expansion of (log PI) in n 9.858 * [taylor]: Taking taylor expansion of PI in n 9.864 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 9.864 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 9.864 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 9.864 * [taylor]: Taking taylor expansion of +nan.0 in n 9.864 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 9.864 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.864 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.864 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.864 * [taylor]: Taking taylor expansion of 0.5 in n 9.864 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.864 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.864 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.864 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.864 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.864 * [taylor]: Taking taylor expansion of 1.0 in n 9.864 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.864 * [taylor]: Taking taylor expansion of 2.0 in n 9.866 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.866 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.866 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.866 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.866 * [taylor]: Taking taylor expansion of 1.0 in n 9.866 * [taylor]: Taking taylor expansion of (log PI) in n 9.866 * [taylor]: Taking taylor expansion of PI in n 9.868 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.868 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.868 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.868 * [taylor]: Taking taylor expansion of 1.0 in n 9.868 * [taylor]: Taking taylor expansion of (log n) in n 9.868 * [taylor]: Taking taylor expansion of n in n 9.872 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.872 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.872 * [taylor]: Taking taylor expansion of 2.0 in n 9.872 * [taylor]: Taking taylor expansion of (* n PI) in n 9.872 * [taylor]: Taking taylor expansion of n in n 9.872 * [taylor]: Taking taylor expansion of PI in n 9.875 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 9.875 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 9.875 * [taylor]: Taking taylor expansion of +nan.0 in n 9.875 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 9.875 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 9.875 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 9.875 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 9.875 * [taylor]: Taking taylor expansion of 0.5 in n 9.875 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 9.875 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 9.875 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 9.875 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 9.875 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 9.875 * [taylor]: Taking taylor expansion of 1.0 in n 9.875 * [taylor]: Taking taylor expansion of (log 2.0) in n 9.875 * [taylor]: Taking taylor expansion of 2.0 in n 9.877 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 9.877 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 9.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 9.877 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 9.877 * [taylor]: Taking taylor expansion of 1.0 in n 9.877 * [taylor]: Taking taylor expansion of (log PI) in n 9.877 * [taylor]: Taking taylor expansion of PI in n 9.879 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 9.879 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 9.879 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 9.879 * [taylor]: Taking taylor expansion of 1.0 in n 9.879 * [taylor]: Taking taylor expansion of (log n) in n 9.879 * [taylor]: Taking taylor expansion of n in n 9.883 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 9.883 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 9.883 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 9.883 * [taylor]: Taking taylor expansion of 2.0 in n 9.883 * [taylor]: Taking taylor expansion of (* n PI) in n 9.883 * [taylor]: Taking taylor expansion of n in n 9.883 * [taylor]: Taking taylor expansion of PI in n 9.962 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 9.962 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 9.962 * [taylor]: Taking taylor expansion of 1.0 in n 9.962 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 9.962 * [taylor]: Taking taylor expansion of (sqrt k) in n 9.962 * [taylor]: Taking taylor expansion of k in n 9.962 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 9.962 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 9.962 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 9.962 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 9.962 * [taylor]: Taking taylor expansion of 0.5 in n 9.963 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.963 * [taylor]: Taking taylor expansion of 1.0 in n 9.963 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.963 * [taylor]: Taking taylor expansion of k in n 9.963 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.963 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.963 * [taylor]: Taking taylor expansion of 2.0 in n 9.963 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.963 * [taylor]: Taking taylor expansion of PI in n 9.963 * [taylor]: Taking taylor expansion of n in n 9.966 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.966 * [taylor]: Taking taylor expansion of 1.0 in k 9.966 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.966 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.966 * [taylor]: Taking taylor expansion of k in k 9.967 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.968 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.968 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.968 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.968 * [taylor]: Taking taylor expansion of 0.5 in k 9.968 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.968 * [taylor]: Taking taylor expansion of 1.0 in k 9.968 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.968 * [taylor]: Taking taylor expansion of k in k 9.968 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.968 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.968 * [taylor]: Taking taylor expansion of 2.0 in k 9.968 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.968 * [taylor]: Taking taylor expansion of PI in k 9.968 * [taylor]: Taking taylor expansion of n in k 9.969 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 9.969 * [taylor]: Taking taylor expansion of 1.0 in k 9.969 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 9.969 * [taylor]: Taking taylor expansion of (sqrt k) in k 9.969 * [taylor]: Taking taylor expansion of k in k 9.970 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 9.970 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 9.970 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 9.970 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 9.970 * [taylor]: Taking taylor expansion of 0.5 in k 9.970 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 9.970 * [taylor]: Taking taylor expansion of 1.0 in k 9.970 * [taylor]: Taking taylor expansion of (/ 1 k) in k 9.970 * [taylor]: Taking taylor expansion of k in k 9.971 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 9.971 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 9.971 * [taylor]: Taking taylor expansion of 2.0 in k 9.971 * [taylor]: Taking taylor expansion of (/ PI n) in k 9.971 * [taylor]: Taking taylor expansion of PI in k 9.971 * [taylor]: Taking taylor expansion of n in k 9.972 * [taylor]: Taking taylor expansion of 0 in n 9.973 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.973 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.973 * [taylor]: Taking taylor expansion of +nan.0 in n 9.973 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.973 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.973 * [taylor]: Taking taylor expansion of 0.5 in n 9.973 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.973 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.973 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.973 * [taylor]: Taking taylor expansion of 2.0 in n 9.973 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.973 * [taylor]: Taking taylor expansion of PI in n 9.973 * [taylor]: Taking taylor expansion of n in n 9.974 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.974 * [taylor]: Taking taylor expansion of 1.0 in n 9.974 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.974 * [taylor]: Taking taylor expansion of k in n 9.983 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 9.983 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 9.983 * [taylor]: Taking taylor expansion of +nan.0 in n 9.983 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 9.983 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 9.983 * [taylor]: Taking taylor expansion of 0.5 in n 9.983 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 9.983 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 9.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 9.983 * [taylor]: Taking taylor expansion of 2.0 in n 9.983 * [taylor]: Taking taylor expansion of (/ PI n) in n 9.983 * [taylor]: Taking taylor expansion of PI in n 9.983 * [taylor]: Taking taylor expansion of n in n 9.984 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 9.985 * [taylor]: Taking taylor expansion of 1.0 in n 9.985 * [taylor]: Taking taylor expansion of (/ 1 k) in n 9.985 * [taylor]: Taking taylor expansion of k in n 10.001 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 10.001 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 10.001 * [taylor]: Taking taylor expansion of +nan.0 in n 10.001 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 10.001 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 10.001 * [taylor]: Taking taylor expansion of 0.5 in n 10.001 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 10.001 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 10.001 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 10.001 * [taylor]: Taking taylor expansion of 2.0 in n 10.001 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.002 * [taylor]: Taking taylor expansion of PI in n 10.002 * [taylor]: Taking taylor expansion of n in n 10.003 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 10.003 * [taylor]: Taking taylor expansion of 1.0 in n 10.003 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.003 * [taylor]: Taking taylor expansion of k in n 10.017 * [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 10.017 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 10.017 * [taylor]: Taking taylor expansion of 1.0 in n 10.017 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 10.017 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 10.017 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 10.017 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 10.017 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 10.017 * [taylor]: Taking taylor expansion of 0.5 in n 10.017 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.017 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.017 * [taylor]: Taking taylor expansion of k in n 10.017 * [taylor]: Taking taylor expansion of 1.0 in n 10.017 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.017 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.017 * [taylor]: Taking taylor expansion of -2.0 in n 10.017 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.017 * [taylor]: Taking taylor expansion of PI in n 10.017 * [taylor]: Taking taylor expansion of n in n 10.021 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 10.021 * [taylor]: Taking taylor expansion of (/ -1 k) in n 10.021 * [taylor]: Taking taylor expansion of -1 in n 10.021 * [taylor]: Taking taylor expansion of k in n 10.022 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.022 * [taylor]: Taking taylor expansion of 1.0 in k 10.022 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.022 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.022 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 10.022 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 10.022 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.022 * [taylor]: Taking taylor expansion of 0.5 in k 10.022 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.022 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.022 * [taylor]: Taking taylor expansion of k in k 10.022 * [taylor]: Taking taylor expansion of 1.0 in k 10.022 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.022 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.022 * [taylor]: Taking taylor expansion of -2.0 in k 10.022 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.022 * [taylor]: Taking taylor expansion of PI in k 10.022 * [taylor]: Taking taylor expansion of n in k 10.023 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.023 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.023 * [taylor]: Taking taylor expansion of -1 in k 10.023 * [taylor]: Taking taylor expansion of k in k 10.025 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 10.025 * [taylor]: Taking taylor expansion of 1.0 in k 10.025 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 10.025 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 10.025 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 10.025 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 10.025 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 10.025 * [taylor]: Taking taylor expansion of 0.5 in k 10.025 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 10.025 * [taylor]: Taking taylor expansion of (/ 1 k) in k 10.025 * [taylor]: Taking taylor expansion of k in k 10.025 * [taylor]: Taking taylor expansion of 1.0 in k 10.025 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 10.025 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 10.025 * [taylor]: Taking taylor expansion of -2.0 in k 10.025 * [taylor]: Taking taylor expansion of (/ PI n) in k 10.025 * [taylor]: Taking taylor expansion of PI in k 10.025 * [taylor]: Taking taylor expansion of n in k 10.026 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 10.026 * [taylor]: Taking taylor expansion of (/ -1 k) in k 10.026 * [taylor]: Taking taylor expansion of -1 in k 10.026 * [taylor]: Taking taylor expansion of k in k 10.027 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 10.028 * [taylor]: Taking taylor expansion of +nan.0 in n 10.028 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 10.028 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 10.028 * [taylor]: Taking taylor expansion of 0.5 in n 10.028 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 10.028 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.028 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.028 * [taylor]: Taking taylor expansion of k in n 10.028 * [taylor]: Taking taylor expansion of 1.0 in n 10.028 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.028 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.028 * [taylor]: Taking taylor expansion of -2.0 in n 10.028 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.028 * [taylor]: Taking taylor expansion of PI in n 10.028 * [taylor]: Taking taylor expansion of n in n 10.037 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 10.037 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 10.037 * [taylor]: Taking taylor expansion of +nan.0 in n 10.037 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 10.037 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 10.037 * [taylor]: Taking taylor expansion of 0.5 in n 10.037 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 10.037 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.037 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.037 * [taylor]: Taking taylor expansion of k in n 10.037 * [taylor]: Taking taylor expansion of 1.0 in n 10.037 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.037 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.037 * [taylor]: Taking taylor expansion of -2.0 in n 10.037 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.037 * [taylor]: Taking taylor expansion of PI in n 10.037 * [taylor]: Taking taylor expansion of n in n 10.055 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 10.055 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 10.055 * [taylor]: Taking taylor expansion of +nan.0 in n 10.055 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 10.055 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 10.055 * [taylor]: Taking taylor expansion of 0.5 in n 10.055 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 10.055 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 10.055 * [taylor]: Taking taylor expansion of (/ 1 k) in n 10.055 * [taylor]: Taking taylor expansion of k in n 10.055 * [taylor]: Taking taylor expansion of 1.0 in n 10.055 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 10.055 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 10.055 * [taylor]: Taking taylor expansion of -2.0 in n 10.055 * [taylor]: Taking taylor expansion of (/ PI n) in n 10.055 * [taylor]: Taking taylor expansion of PI in n 10.055 * [taylor]: Taking taylor expansion of n in n 10.064 * * * [progress]: simplifying candidates 10.120 * [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 (sqrt k)))) (log1p (/ 1.0 (sqrt (sqrt k)))) (- (log 1.0) (log (sqrt (sqrt k)))) (log (/ 1.0 (sqrt (sqrt k)))) (exp (/ 1.0 (sqrt (sqrt k)))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (cbrt (/ 1.0 (sqrt (sqrt k)))) (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ 1.0 (sqrt (sqrt k)))) (- 1.0) (- (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt 1))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt (sqrt k)))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (/ (sqrt 1.0) (sqrt (sqrt 1))) (/ (sqrt 1.0) (sqrt 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k))))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt 1))) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt (sqrt k)))) (/ 1.0 1) (/ (sqrt (sqrt k)) (cbrt 1.0)) (/ (sqrt (sqrt k)) (sqrt 1.0)) (/ (sqrt (sqrt k)) 1.0) (expm1 (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log1p (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (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))))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (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))))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (- (/ 1.0 (sqrt (sqrt k)))) (- (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (sqrt (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (cbrt 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(* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) 1)) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (pow n (/ (- 1.0 k) 2.0)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (sqrt (sqrt (sqrt k))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 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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 (sqrt k))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (* (cbrt k) (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (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 (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt 1)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt 1)) (* (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 (sqrt k))) (/ (sqrt (sqrt 1)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt 1)) 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt 1)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (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 (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt 1) (* (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 (sqrt k))) (/ (sqrt 1) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt 1) 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt 1) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (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 (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ 1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (/ (/ 1.0 (sqrt (sqrt k))) (/ 1 (* (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 (sqrt k))) (/ 1 (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (/ (/ 1.0 (sqrt (sqrt k))) (/ 1 1)) (/ (/ 1.0 (sqrt (sqrt k))) (/ 1 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (/ 1.0 (sqrt (sqrt k))) 1) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt (cbrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (cbrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt (cbrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt (sqrt k))))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ 1 (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (* (/ (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (sqrt k))) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 1.0 (pow (/ 1 k) 1/4)) (* 1.0 (pow (/ 1 k) 1/4)) (- (* 1.0 (sqrt +nan.0)) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2))))))) (- (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (- (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))) (- (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))) 10.854 * * * [progress]: adding candidates to table 16.898 * [progress]: [Phase 3 of 3] Extracting. 16.899 * * [regime]: Finding splitpoints for: (# # # # # # # #) 16.901 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 16.901 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 16.939 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 16.975 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 17.008 * * * [regime]: Found split indices: #