11.437 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.167 * * * [progress]: [2/2] Setting up program. 0.170 * [progress]: [Phase 2 of 3] Improving. 0.170 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.173 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.174 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.176 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.178 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.185 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.207 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.207 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.207 * * [progress]: iteration 1 / 4 0.207 * * * [progress]: picking best candidate 0.210 * * * * [pick]: Picked # 0.210 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.225 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.229 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.241 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.254 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.266 * * * [progress]: generating series expansions 0.266 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.266 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.266 * [taylor]: Taking taylor expansion of 1.0 in k 0.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.266 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.266 * [taylor]: Taking taylor expansion of k in k 0.268 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.268 * [taylor]: Taking taylor expansion of 1.0 in k 0.268 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.268 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.268 * [taylor]: Taking taylor expansion of k in k 0.281 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.281 * [taylor]: Taking taylor expansion of 1.0 in k 0.281 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.281 * [taylor]: Taking taylor expansion of k in k 0.282 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.282 * [taylor]: Taking taylor expansion of 1.0 in k 0.282 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.282 * [taylor]: Taking taylor expansion of k in k 0.293 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.293 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.293 * [taylor]: Taking taylor expansion of 1.0 in k 0.293 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.293 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.293 * [taylor]: Taking taylor expansion of -1 in k 0.293 * [taylor]: Taking taylor expansion of k in k 0.295 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.295 * [taylor]: Taking taylor expansion of 1.0 in k 0.295 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.295 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.295 * [taylor]: Taking taylor expansion of -1 in k 0.295 * [taylor]: Taking taylor expansion of k in k 0.307 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.308 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 0.308 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.308 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.308 * [taylor]: Taking taylor expansion of k in n 0.308 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.308 * [taylor]: Taking taylor expansion of 0.5 in n 0.308 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [taylor]: Taking taylor expansion of k in n 0.308 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.308 * [taylor]: Taking taylor expansion of 2.0 in n 0.308 * [taylor]: Taking taylor expansion of (* n PI) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of PI in n 0.314 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.314 * [taylor]: Taking taylor expansion of 1.0 in k 0.314 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.314 * [taylor]: Taking taylor expansion of k in k 0.316 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.316 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.316 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.316 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.316 * [taylor]: Taking taylor expansion of 0.5 in k 0.316 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.316 * [taylor]: Taking taylor expansion of 1.0 in k 0.316 * [taylor]: Taking taylor expansion of k in k 0.316 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.316 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.316 * [taylor]: Taking taylor expansion of 2.0 in k 0.316 * [taylor]: Taking taylor expansion of (* n PI) in k 0.316 * [taylor]: Taking taylor expansion of n in k 0.316 * [taylor]: Taking taylor expansion of PI in k 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.317 * [taylor]: Taking taylor expansion of 1.0 in k 0.317 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.317 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.317 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.317 * [taylor]: Taking taylor expansion of k in k 0.318 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.318 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.318 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.318 * [taylor]: Taking taylor expansion of 0.5 in k 0.318 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.318 * [taylor]: Taking taylor expansion of 1.0 in k 0.318 * [taylor]: Taking taylor expansion of k in k 0.318 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.318 * [taylor]: Taking taylor expansion of 2.0 in k 0.318 * [taylor]: Taking taylor expansion of (* n PI) in k 0.318 * [taylor]: Taking taylor expansion of n in k 0.318 * [taylor]: Taking taylor expansion of PI in k 0.320 * [taylor]: Taking taylor expansion of 0 in n 0.325 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.326 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.326 * [taylor]: Taking taylor expansion of +nan.0 in n 0.326 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.326 * [taylor]: Taking taylor expansion of 0.5 in n 0.326 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.326 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.326 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.326 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.326 * [taylor]: Taking taylor expansion of 1.0 in n 0.326 * [taylor]: Taking taylor expansion of (log PI) in n 0.326 * [taylor]: Taking taylor expansion of PI in n 0.328 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.328 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.328 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.328 * [taylor]: Taking taylor expansion of 1.0 in n 0.328 * [taylor]: Taking taylor expansion of (log n) in n 0.328 * [taylor]: Taking taylor expansion of n in n 0.328 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.328 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.328 * [taylor]: Taking taylor expansion of 1.0 in n 0.328 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.329 * [taylor]: Taking taylor expansion of 2.0 in n 0.353 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))))) in n 0.353 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))))) in n 0.353 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.353 * [taylor]: Taking taylor expansion of +nan.0 in n 0.353 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.353 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.353 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.353 * [taylor]: Taking taylor expansion of 0.5 in n 0.353 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.353 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.353 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.353 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.353 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.353 * [taylor]: Taking taylor expansion of 1.0 in n 0.353 * [taylor]: Taking taylor expansion of (log PI) in n 0.353 * [taylor]: Taking taylor expansion of PI in n 0.355 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.355 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.356 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.356 * [taylor]: Taking taylor expansion of 1.0 in n 0.356 * [taylor]: Taking taylor expansion of (log n) in n 0.356 * [taylor]: Taking taylor expansion of n in n 0.356 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.356 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.356 * [taylor]: Taking taylor expansion of 1.0 in n 0.356 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.356 * [taylor]: Taking taylor expansion of 2.0 in n 0.362 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))))) in n 0.362 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.362 * [taylor]: Taking taylor expansion of +nan.0 in n 0.362 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.362 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.362 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.362 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.362 * [taylor]: Taking taylor expansion of 0.5 in n 0.362 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.362 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.362 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.362 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.362 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.362 * [taylor]: Taking taylor expansion of 1.0 in n 0.363 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.363 * [taylor]: Taking taylor expansion of 2.0 in n 0.364 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.364 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.364 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.364 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.364 * [taylor]: Taking taylor expansion of 1.0 in n 0.364 * [taylor]: Taking taylor expansion of (log PI) in n 0.364 * [taylor]: Taking taylor expansion of PI in n 0.366 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.366 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.366 * [taylor]: Taking taylor expansion of 1.0 in n 0.366 * [taylor]: Taking taylor expansion of (log n) in n 0.366 * [taylor]: Taking taylor expansion of n in n 0.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.371 * [taylor]: Taking taylor expansion of 2.0 in n 0.371 * [taylor]: Taking taylor expansion of (* n PI) in n 0.371 * [taylor]: Taking taylor expansion of n in n 0.371 * [taylor]: Taking taylor expansion of PI in n 0.424 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 0.424 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 0.424 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.424 * [taylor]: Taking taylor expansion of +nan.0 in n 0.424 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.424 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.424 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.424 * [taylor]: Taking taylor expansion of 0.5 in n 0.424 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.424 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.424 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.424 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.424 * [taylor]: Taking taylor expansion of 1.0 in n 0.424 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.424 * [taylor]: Taking taylor expansion of 2.0 in n 0.426 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.426 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.426 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.426 * [taylor]: Taking taylor expansion of 1.0 in n 0.426 * [taylor]: Taking taylor expansion of (log n) in n 0.426 * [taylor]: Taking taylor expansion of n in n 0.426 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.427 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.427 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.427 * [taylor]: Taking taylor expansion of 1.0 in n 0.427 * [taylor]: Taking taylor expansion of (log PI) in n 0.427 * [taylor]: Taking taylor expansion of PI in n 0.432 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 0.432 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 0.432 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 0.432 * [taylor]: Taking taylor expansion of +nan.0 in n 0.432 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 0.432 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.432 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.432 * [taylor]: Taking taylor expansion of 0.5 in n 0.432 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.432 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.433 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.433 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.433 * [taylor]: Taking taylor expansion of 1.0 in n 0.433 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.433 * [taylor]: Taking taylor expansion of 2.0 in n 0.435 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.435 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.435 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.435 * [taylor]: Taking taylor expansion of 1.0 in n 0.435 * [taylor]: Taking taylor expansion of (log PI) in n 0.435 * [taylor]: Taking taylor expansion of PI in n 0.437 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.437 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.437 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.437 * [taylor]: Taking taylor expansion of 1.0 in n 0.437 * [taylor]: Taking taylor expansion of (log n) in n 0.437 * [taylor]: Taking taylor expansion of n in n 0.444 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.445 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.445 * [taylor]: Taking taylor expansion of 2.0 in n 0.445 * [taylor]: Taking taylor expansion of (* n PI) in n 0.445 * [taylor]: Taking taylor expansion of n in n 0.445 * [taylor]: Taking taylor expansion of PI in n 0.448 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 0.448 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 0.448 * [taylor]: Taking taylor expansion of +nan.0 in n 0.448 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 0.448 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.448 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.448 * [taylor]: Taking taylor expansion of 0.5 in n 0.448 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.448 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.448 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.448 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.448 * [taylor]: Taking taylor expansion of 2.0 in n 0.450 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.450 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.450 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.450 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.450 * [taylor]: Taking taylor expansion of 1.0 in n 0.450 * [taylor]: Taking taylor expansion of (log PI) in n 0.450 * [taylor]: Taking taylor expansion of PI in n 0.452 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.452 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.452 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.453 * [taylor]: Taking taylor expansion of 1.0 in n 0.453 * [taylor]: Taking taylor expansion of (log n) in n 0.453 * [taylor]: Taking taylor expansion of n in n 0.457 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.457 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.457 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.457 * [taylor]: Taking taylor expansion of 2.0 in n 0.457 * [taylor]: Taking taylor expansion of (* n PI) in n 0.457 * [taylor]: Taking taylor expansion of n in n 0.457 * [taylor]: Taking taylor expansion of PI in n 0.537 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 0.537 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.537 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.537 * [taylor]: Taking taylor expansion of k in n 0.537 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.537 * [taylor]: Taking taylor expansion of 0.5 in n 0.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.537 * [taylor]: Taking taylor expansion of 1.0 in n 0.537 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.537 * [taylor]: Taking taylor expansion of k in n 0.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.537 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.537 * [taylor]: Taking taylor expansion of 2.0 in n 0.537 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.537 * [taylor]: Taking taylor expansion of PI in n 0.537 * [taylor]: Taking taylor expansion of n in n 0.542 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.542 * [taylor]: Taking taylor expansion of 1.0 in k 0.542 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.542 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.542 * [taylor]: Taking taylor expansion of k in k 0.543 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.543 * [taylor]: Taking taylor expansion of 0.5 in k 0.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.543 * [taylor]: Taking taylor expansion of 1.0 in k 0.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.543 * [taylor]: Taking taylor expansion of k in k 0.544 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.544 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.544 * [taylor]: Taking taylor expansion of 2.0 in k 0.544 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.544 * [taylor]: Taking taylor expansion of PI in k 0.544 * [taylor]: Taking taylor expansion of n in k 0.545 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.545 * [taylor]: Taking taylor expansion of 1.0 in k 0.545 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.545 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.545 * [taylor]: Taking taylor expansion of k in k 0.546 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.546 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.546 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.546 * [taylor]: Taking taylor expansion of 0.5 in k 0.546 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.546 * [taylor]: Taking taylor expansion of 1.0 in k 0.546 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.546 * [taylor]: Taking taylor expansion of k in k 0.546 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.546 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.546 * [taylor]: Taking taylor expansion of 2.0 in k 0.546 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.546 * [taylor]: Taking taylor expansion of PI in k 0.546 * [taylor]: Taking taylor expansion of n in k 0.548 * [taylor]: Taking taylor expansion of 0 in n 0.549 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.549 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.549 * [taylor]: Taking taylor expansion of +nan.0 in n 0.549 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.549 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.549 * [taylor]: Taking taylor expansion of 0.5 in n 0.549 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.549 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.549 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.549 * [taylor]: Taking taylor expansion of 2.0 in n 0.549 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.549 * [taylor]: Taking taylor expansion of PI in n 0.549 * [taylor]: Taking taylor expansion of n in n 0.551 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.551 * [taylor]: Taking taylor expansion of 1.0 in n 0.551 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.551 * [taylor]: Taking taylor expansion of k in n 0.560 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.560 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.560 * [taylor]: Taking taylor expansion of +nan.0 in n 0.560 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.560 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.560 * [taylor]: Taking taylor expansion of 0.5 in n 0.560 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.560 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.560 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.560 * [taylor]: Taking taylor expansion of 2.0 in n 0.560 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.560 * [taylor]: Taking taylor expansion of PI in n 0.560 * [taylor]: Taking taylor expansion of n in n 0.561 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.561 * [taylor]: Taking taylor expansion of 1.0 in n 0.561 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.561 * [taylor]: Taking taylor expansion of k in n 0.579 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.579 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.579 * [taylor]: Taking taylor expansion of +nan.0 in n 0.579 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.579 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.579 * [taylor]: Taking taylor expansion of 0.5 in n 0.579 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.579 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.579 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.579 * [taylor]: Taking taylor expansion of 2.0 in n 0.579 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.579 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.580 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.580 * [taylor]: Taking taylor expansion of 1.0 in n 0.580 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.580 * [taylor]: Taking taylor expansion of k in n 0.589 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 0.590 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.590 * [taylor]: Taking taylor expansion of 1.0 in n 0.590 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.590 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.590 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.590 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.590 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.590 * [taylor]: Taking taylor expansion of 0.5 in n 0.590 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.590 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.590 * [taylor]: Taking taylor expansion of k in n 0.590 * [taylor]: Taking taylor expansion of 1.0 in n 0.590 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.590 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.590 * [taylor]: Taking taylor expansion of -2.0 in n 0.590 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.590 * [taylor]: Taking taylor expansion of PI in n 0.590 * [taylor]: Taking taylor expansion of n in n 0.594 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.594 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.594 * [taylor]: Taking taylor expansion of -1 in n 0.594 * [taylor]: Taking taylor expansion of k in n 0.595 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.595 * [taylor]: Taking taylor expansion of 1.0 in k 0.595 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.595 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.595 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.595 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.595 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.595 * [taylor]: Taking taylor expansion of 0.5 in k 0.595 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.595 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.595 * [taylor]: Taking taylor expansion of k in k 0.595 * [taylor]: Taking taylor expansion of 1.0 in k 0.595 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.595 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.595 * [taylor]: Taking taylor expansion of -2.0 in k 0.595 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.595 * [taylor]: Taking taylor expansion of PI in k 0.595 * [taylor]: Taking taylor expansion of n in k 0.596 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.596 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.596 * [taylor]: Taking taylor expansion of -1 in k 0.596 * [taylor]: Taking taylor expansion of k in k 0.598 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.598 * [taylor]: Taking taylor expansion of 1.0 in k 0.598 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.598 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.598 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.598 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.598 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.598 * [taylor]: Taking taylor expansion of 0.5 in k 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.598 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.598 * [taylor]: Taking taylor expansion of k in k 0.598 * [taylor]: Taking taylor expansion of 1.0 in k 0.598 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.598 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.598 * [taylor]: Taking taylor expansion of -2.0 in k 0.598 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.598 * [taylor]: Taking taylor expansion of PI in k 0.598 * [taylor]: Taking taylor expansion of n in k 0.599 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.599 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.599 * [taylor]: Taking taylor expansion of -1 in k 0.599 * [taylor]: Taking taylor expansion of k in k 0.601 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.601 * [taylor]: Taking taylor expansion of +nan.0 in n 0.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.601 * [taylor]: Taking taylor expansion of 0.5 in n 0.601 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.601 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.601 * [taylor]: Taking taylor expansion of k in n 0.601 * [taylor]: Taking taylor expansion of 1.0 in n 0.601 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.601 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.601 * [taylor]: Taking taylor expansion of -2.0 in n 0.601 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.601 * [taylor]: Taking taylor expansion of PI in n 0.601 * [taylor]: Taking taylor expansion of n in n 0.611 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.611 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.611 * [taylor]: Taking taylor expansion of +nan.0 in n 0.611 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.611 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.611 * [taylor]: Taking taylor expansion of 0.5 in n 0.611 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.611 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.611 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.611 * [taylor]: Taking taylor expansion of k in n 0.611 * [taylor]: Taking taylor expansion of 1.0 in n 0.611 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.611 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.611 * [taylor]: Taking taylor expansion of -2.0 in n 0.611 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.611 * [taylor]: Taking taylor expansion of PI in n 0.611 * [taylor]: Taking taylor expansion of n in n 0.634 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.634 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.634 * [taylor]: Taking taylor expansion of +nan.0 in n 0.634 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.634 * [taylor]: Taking taylor expansion of 0.5 in n 0.634 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.634 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.635 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.635 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.635 * [taylor]: Taking taylor expansion of -2.0 in n 0.635 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.635 * [taylor]: Taking taylor expansion of PI in n 0.635 * [taylor]: Taking taylor expansion of n in n 0.644 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.645 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.645 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.645 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.645 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.645 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.645 * [taylor]: Taking taylor expansion of 0.5 in k 0.645 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.645 * [taylor]: Taking taylor expansion of 1.0 in k 0.645 * [taylor]: Taking taylor expansion of k in k 0.645 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.645 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.645 * [taylor]: Taking taylor expansion of 2.0 in k 0.645 * [taylor]: Taking taylor expansion of (* n PI) in k 0.645 * [taylor]: Taking taylor expansion of n in k 0.645 * [taylor]: Taking taylor expansion of PI in k 0.646 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.646 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.646 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.646 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.646 * [taylor]: Taking taylor expansion of 0.5 in n 0.646 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.646 * [taylor]: Taking taylor expansion of 1.0 in n 0.646 * [taylor]: Taking taylor expansion of k in n 0.646 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.646 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.646 * [taylor]: Taking taylor expansion of 2.0 in n 0.646 * [taylor]: Taking taylor expansion of (* n PI) in n 0.646 * [taylor]: Taking taylor expansion of n in n 0.646 * [taylor]: Taking taylor expansion of PI in n 0.652 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.652 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.652 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.652 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.652 * [taylor]: Taking taylor expansion of 0.5 in n 0.652 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.652 * [taylor]: Taking taylor expansion of 1.0 in n 0.652 * [taylor]: Taking taylor expansion of k in n 0.652 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.652 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.652 * [taylor]: Taking taylor expansion of 2.0 in n 0.652 * [taylor]: Taking taylor expansion of (* n PI) in n 0.652 * [taylor]: Taking taylor expansion of n in n 0.652 * [taylor]: Taking taylor expansion of PI in n 0.658 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.658 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.658 * [taylor]: Taking taylor expansion of 0.5 in k 0.658 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.658 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.658 * [taylor]: Taking taylor expansion of 1.0 in k 0.658 * [taylor]: Taking taylor expansion of k in k 0.658 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.658 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.658 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.658 * [taylor]: Taking taylor expansion of 2.0 in k 0.658 * [taylor]: Taking taylor expansion of PI in k 0.659 * [taylor]: Taking taylor expansion of (log n) in k 0.659 * [taylor]: Taking taylor expansion of n in k 0.669 * [taylor]: Taking taylor expansion of 0 in k 0.685 * [taylor]: Taking taylor expansion of 0 in k 0.706 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.706 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.706 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.706 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.706 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.706 * [taylor]: Taking taylor expansion of 0.5 in k 0.706 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.706 * [taylor]: Taking taylor expansion of 1.0 in k 0.706 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.706 * [taylor]: Taking taylor expansion of k in k 0.707 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.707 * [taylor]: Taking taylor expansion of 2.0 in k 0.707 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.707 * [taylor]: Taking taylor expansion of PI in k 0.707 * [taylor]: Taking taylor expansion of n in k 0.708 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.708 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.708 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.708 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.708 * [taylor]: Taking taylor expansion of 0.5 in n 0.708 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.708 * [taylor]: Taking taylor expansion of 1.0 in n 0.708 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.708 * [taylor]: Taking taylor expansion of k in n 0.708 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.708 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.708 * [taylor]: Taking taylor expansion of 2.0 in n 0.708 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.708 * [taylor]: Taking taylor expansion of PI in n 0.708 * [taylor]: Taking taylor expansion of n in n 0.712 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.712 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.712 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.712 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.712 * [taylor]: Taking taylor expansion of 0.5 in n 0.712 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.712 * [taylor]: Taking taylor expansion of 1.0 in n 0.712 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.712 * [taylor]: Taking taylor expansion of k in n 0.712 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.712 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.712 * [taylor]: Taking taylor expansion of 2.0 in n 0.712 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.712 * [taylor]: Taking taylor expansion of PI in n 0.712 * [taylor]: Taking taylor expansion of n in n 0.720 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.720 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.720 * [taylor]: Taking taylor expansion of 0.5 in k 0.720 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.720 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.720 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.720 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.720 * [taylor]: Taking taylor expansion of 2.0 in k 0.720 * [taylor]: Taking taylor expansion of PI in k 0.721 * [taylor]: Taking taylor expansion of (log n) in k 0.721 * [taylor]: Taking taylor expansion of n in k 0.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.721 * [taylor]: Taking taylor expansion of 1.0 in k 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.731 * [taylor]: Taking taylor expansion of 0 in k 0.739 * [taylor]: Taking taylor expansion of 0 in k 0.749 * [taylor]: Taking taylor expansion of 0 in k 0.750 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.750 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.750 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.750 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.750 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.750 * [taylor]: Taking taylor expansion of 0.5 in k 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.750 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.750 * [taylor]: Taking taylor expansion of k in k 0.751 * [taylor]: Taking taylor expansion of 1.0 in k 0.751 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.751 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.751 * [taylor]: Taking taylor expansion of -2.0 in k 0.751 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.751 * [taylor]: Taking taylor expansion of PI in k 0.751 * [taylor]: Taking taylor expansion of n in k 0.751 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.752 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.752 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.752 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.752 * [taylor]: Taking taylor expansion of 0.5 in n 0.752 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.752 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.752 * [taylor]: Taking taylor expansion of k in n 0.752 * [taylor]: Taking taylor expansion of 1.0 in n 0.752 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.752 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.752 * [taylor]: Taking taylor expansion of -2.0 in n 0.752 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.752 * [taylor]: Taking taylor expansion of PI in n 0.752 * [taylor]: Taking taylor expansion of n in n 0.756 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.756 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.756 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.756 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.756 * [taylor]: Taking taylor expansion of 0.5 in n 0.756 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.756 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.756 * [taylor]: Taking taylor expansion of k in n 0.756 * [taylor]: Taking taylor expansion of 1.0 in n 0.756 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.756 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.756 * [taylor]: Taking taylor expansion of -2.0 in n 0.756 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.756 * [taylor]: Taking taylor expansion of PI in n 0.756 * [taylor]: Taking taylor expansion of n in n 0.760 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.760 * [taylor]: Taking taylor expansion of 0.5 in k 0.760 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.760 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.760 * [taylor]: Taking taylor expansion of k in k 0.760 * [taylor]: Taking taylor expansion of 1.0 in k 0.760 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.760 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.760 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.760 * [taylor]: Taking taylor expansion of -2.0 in k 0.760 * [taylor]: Taking taylor expansion of PI in k 0.761 * [taylor]: Taking taylor expansion of (log n) in k 0.761 * [taylor]: Taking taylor expansion of n in k 0.771 * [taylor]: Taking taylor expansion of 0 in k 0.778 * [taylor]: Taking taylor expansion of 0 in k 0.787 * [taylor]: Taking taylor expansion of 0 in k 0.788 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.788 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.788 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.788 * [taylor]: Taking taylor expansion of 2.0 in n 0.788 * [taylor]: Taking taylor expansion of (* n PI) in n 0.788 * [taylor]: Taking taylor expansion of n in n 0.789 * [taylor]: Taking taylor expansion of PI in n 0.789 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.789 * [taylor]: Taking taylor expansion of 2.0 in n 0.789 * [taylor]: Taking taylor expansion of (* n PI) in n 0.789 * [taylor]: Taking taylor expansion of n in n 0.789 * [taylor]: Taking taylor expansion of PI in n 0.802 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.802 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.802 * [taylor]: Taking taylor expansion of 2.0 in n 0.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.802 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.802 * [taylor]: Taking taylor expansion of 2.0 in n 0.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.802 * [taylor]: Taking taylor expansion of PI in n 0.802 * [taylor]: Taking taylor expansion of n in n 0.815 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.815 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.815 * [taylor]: Taking taylor expansion of -2.0 in n 0.815 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.815 * [taylor]: Taking taylor expansion of PI in n 0.815 * [taylor]: Taking taylor expansion of n in n 0.816 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.816 * [taylor]: Taking taylor expansion of -2.0 in n 0.816 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.816 * [taylor]: Taking taylor expansion of PI in n 0.816 * [taylor]: Taking taylor expansion of n in n 0.825 * * * [progress]: simplifying candidates 0.827 * [simplify]: Simplifying using # : (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (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))) 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(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))) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 0.931 * * * [progress]: adding candidates to table 1.364 * * [progress]: iteration 2 / 4 1.364 * * * [progress]: picking best candidate 1.401 * * * * [pick]: Picked # 1.401 * * * [progress]: localizing error 1.418 * * * [progress]: generating rewritten candidates 1.418 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.436 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.502 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.512 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.584 * * * [progress]: generating series expansions 1.584 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.584 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 1.584 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.584 * [taylor]: Taking taylor expansion of 1.0 in k 1.584 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.584 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.584 * [taylor]: Taking taylor expansion of k in k 1.586 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 1.586 * [taylor]: Taking taylor expansion of 1.0 in k 1.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.586 * [taylor]: Taking taylor expansion of k in k 1.607 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 1.607 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.607 * [taylor]: Taking taylor expansion of 1.0 in k 1.607 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.607 * [taylor]: Taking taylor expansion of k in k 1.608 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 1.608 * [taylor]: Taking taylor expansion of 1.0 in k 1.608 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.608 * [taylor]: Taking taylor expansion of k in k 1.619 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 1.619 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.619 * [taylor]: Taking taylor expansion of 1.0 in k 1.619 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.619 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.619 * [taylor]: Taking taylor expansion of -1 in k 1.619 * [taylor]: Taking taylor expansion of k in k 1.621 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 1.621 * [taylor]: Taking taylor expansion of 1.0 in k 1.621 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.621 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.621 * [taylor]: Taking taylor expansion of -1 in k 1.621 * [taylor]: Taking taylor expansion of k in k 1.633 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.634 * [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 1.634 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 1.634 * [taylor]: Taking taylor expansion of 1.0 in n 1.634 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 1.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.634 * [taylor]: Taking taylor expansion of k in n 1.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.634 * [taylor]: Taking taylor expansion of 0.5 in n 1.634 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.634 * [taylor]: Taking taylor expansion of 1.0 in n 1.634 * [taylor]: Taking taylor expansion of k in n 1.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.634 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.634 * [taylor]: Taking taylor expansion of 2.0 in n 1.634 * [taylor]: Taking taylor expansion of (* n PI) in n 1.634 * [taylor]: Taking taylor expansion of n in n 1.634 * [taylor]: Taking taylor expansion of PI in n 1.640 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.640 * [taylor]: Taking taylor expansion of 1.0 in k 1.640 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.640 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.640 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.640 * [taylor]: Taking taylor expansion of k in k 1.641 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.641 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.641 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.641 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.641 * [taylor]: Taking taylor expansion of 0.5 in k 1.641 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.642 * [taylor]: Taking taylor expansion of 1.0 in k 1.642 * [taylor]: Taking taylor expansion of k in k 1.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.642 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.642 * [taylor]: Taking taylor expansion of 2.0 in k 1.642 * [taylor]: Taking taylor expansion of (* n PI) in k 1.642 * [taylor]: Taking taylor expansion of n in k 1.642 * [taylor]: Taking taylor expansion of PI in k 1.643 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 1.643 * [taylor]: Taking taylor expansion of 1.0 in k 1.643 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 1.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.643 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.643 * [taylor]: Taking taylor expansion of k in k 1.644 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.644 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.644 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.644 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.644 * [taylor]: Taking taylor expansion of 0.5 in k 1.644 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.644 * [taylor]: Taking taylor expansion of 1.0 in k 1.644 * [taylor]: Taking taylor expansion of k in k 1.644 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.644 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.644 * [taylor]: Taking taylor expansion of 2.0 in k 1.644 * [taylor]: Taking taylor expansion of (* n PI) in k 1.644 * [taylor]: Taking taylor expansion of n in k 1.644 * [taylor]: Taking taylor expansion of PI in k 1.646 * [taylor]: Taking taylor expansion of 0 in n 1.651 * [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 1.651 * [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 1.651 * [taylor]: Taking taylor expansion of +nan.0 in n 1.651 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.651 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.651 * [taylor]: Taking taylor expansion of 0.5 in n 1.651 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.651 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.651 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.651 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.651 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.651 * [taylor]: Taking taylor expansion of 1.0 in n 1.651 * [taylor]: Taking taylor expansion of (log PI) in n 1.652 * [taylor]: Taking taylor expansion of PI in n 1.653 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.653 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.654 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.654 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.654 * [taylor]: Taking taylor expansion of 1.0 in n 1.654 * [taylor]: Taking taylor expansion of (log n) in n 1.654 * [taylor]: Taking taylor expansion of n in n 1.654 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.654 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.654 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.654 * [taylor]: Taking taylor expansion of 1.0 in n 1.654 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.654 * [taylor]: Taking taylor expansion of 2.0 in n 1.675 * [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 1.675 * [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 1.675 * [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 1.675 * [taylor]: Taking taylor expansion of +nan.0 in n 1.675 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 1.675 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 1.675 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 1.675 * [taylor]: Taking taylor expansion of 0.5 in n 1.675 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 1.675 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 1.675 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.675 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.675 * [taylor]: Taking taylor expansion of 1.0 in n 1.675 * [taylor]: Taking taylor expansion of (log PI) in n 1.675 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 1.677 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.677 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.677 * [taylor]: Taking taylor expansion of 1.0 in n 1.677 * [taylor]: Taking taylor expansion of (log n) in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.678 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.678 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.678 * [taylor]: Taking taylor expansion of 1.0 in n 1.678 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.678 * [taylor]: Taking taylor expansion of 2.0 in n 1.688 * [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 1.688 * [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 1.688 * [taylor]: Taking taylor expansion of +nan.0 in n 1.688 * [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 1.688 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.688 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.688 * [taylor]: Taking taylor expansion of 0.5 in n 1.688 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.688 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.688 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.688 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.688 * [taylor]: Taking taylor expansion of 1.0 in n 1.688 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.688 * [taylor]: Taking taylor expansion of 2.0 in n 1.690 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.690 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.690 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.690 * [taylor]: Taking taylor expansion of 1.0 in n 1.690 * [taylor]: Taking taylor expansion of (log PI) in n 1.690 * [taylor]: Taking taylor expansion of PI in n 1.692 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.692 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.692 * [taylor]: Taking taylor expansion of 1.0 in n 1.692 * [taylor]: Taking taylor expansion of (log n) in n 1.692 * [taylor]: Taking taylor expansion of n in n 1.697 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.697 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.697 * [taylor]: Taking taylor expansion of 2.0 in n 1.697 * [taylor]: Taking taylor expansion of (* n PI) in n 1.697 * [taylor]: Taking taylor expansion of n in n 1.697 * [taylor]: Taking taylor expansion of PI in n 1.749 * [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 1.749 * [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 1.749 * [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 1.749 * [taylor]: Taking taylor expansion of +nan.0 in n 1.749 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.749 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.749 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.749 * [taylor]: Taking taylor expansion of 0.5 in n 1.749 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.749 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.749 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.750 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.750 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.750 * [taylor]: Taking taylor expansion of 1.0 in n 1.750 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.750 * [taylor]: Taking taylor expansion of 2.0 in n 1.751 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.751 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.751 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.751 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.751 * [taylor]: Taking taylor expansion of 1.0 in n 1.752 * [taylor]: Taking taylor expansion of (log n) in n 1.752 * [taylor]: Taking taylor expansion of n in n 1.752 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.752 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.752 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.752 * [taylor]: Taking taylor expansion of 1.0 in n 1.752 * [taylor]: Taking taylor expansion of (log PI) in n 1.752 * [taylor]: Taking taylor expansion of PI in n 1.758 * [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 1.758 * [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 1.758 * [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 1.758 * [taylor]: Taking taylor expansion of +nan.0 in n 1.758 * [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 1.758 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.758 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.758 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.758 * [taylor]: Taking taylor expansion of 0.5 in n 1.758 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.758 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.758 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.758 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.758 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.758 * [taylor]: Taking taylor expansion of 1.0 in n 1.758 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.758 * [taylor]: Taking taylor expansion of 2.0 in n 1.760 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.760 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.760 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.760 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.760 * [taylor]: Taking taylor expansion of 1.0 in n 1.760 * [taylor]: Taking taylor expansion of (log PI) in n 1.760 * [taylor]: Taking taylor expansion of PI in n 1.762 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.762 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.762 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.762 * [taylor]: Taking taylor expansion of 1.0 in n 1.762 * [taylor]: Taking taylor expansion of (log n) in n 1.762 * [taylor]: Taking taylor expansion of n in n 1.767 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.767 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.767 * [taylor]: Taking taylor expansion of 2.0 in n 1.767 * [taylor]: Taking taylor expansion of (* n PI) in n 1.767 * [taylor]: Taking taylor expansion of n in n 1.767 * [taylor]: Taking taylor expansion of PI in n 1.770 * [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 1.770 * [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 1.770 * [taylor]: Taking taylor expansion of +nan.0 in n 1.770 * [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 1.770 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 1.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 1.770 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 1.770 * [taylor]: Taking taylor expansion of 0.5 in n 1.770 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 1.770 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 1.770 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.770 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.770 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.770 * [taylor]: Taking taylor expansion of 1.0 in n 1.770 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.770 * [taylor]: Taking taylor expansion of 2.0 in n 1.772 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 1.772 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.772 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.772 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.772 * [taylor]: Taking taylor expansion of 1.0 in n 1.772 * [taylor]: Taking taylor expansion of (log PI) in n 1.772 * [taylor]: Taking taylor expansion of PI in n 1.774 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.774 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.774 * [taylor]: Taking taylor expansion of 1.0 in n 1.774 * [taylor]: Taking taylor expansion of (log n) in n 1.774 * [taylor]: Taking taylor expansion of n in n 1.783 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 1.784 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.784 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.784 * [taylor]: Taking taylor expansion of 2.0 in n 1.784 * [taylor]: Taking taylor expansion of (* n PI) in n 1.784 * [taylor]: Taking taylor expansion of n in n 1.784 * [taylor]: Taking taylor expansion of PI in n 1.860 * [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 1.860 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 1.860 * [taylor]: Taking taylor expansion of 1.0 in n 1.860 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 1.860 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.860 * [taylor]: Taking taylor expansion of k in n 1.860 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 1.860 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 1.860 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 1.860 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 1.860 * [taylor]: Taking taylor expansion of 0.5 in n 1.860 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.860 * [taylor]: Taking taylor expansion of 1.0 in n 1.860 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.860 * [taylor]: Taking taylor expansion of k in n 1.860 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.860 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.860 * [taylor]: Taking taylor expansion of 2.0 in n 1.860 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.860 * [taylor]: Taking taylor expansion of PI in n 1.860 * [taylor]: Taking taylor expansion of n in n 1.864 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.864 * [taylor]: Taking taylor expansion of 1.0 in k 1.864 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.864 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.864 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.866 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.866 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.866 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.866 * [taylor]: Taking taylor expansion of 0.5 in k 1.866 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.866 * [taylor]: Taking taylor expansion of 1.0 in k 1.866 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.866 * [taylor]: Taking taylor expansion of k in k 1.866 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.866 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.866 * [taylor]: Taking taylor expansion of 2.0 in k 1.866 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.866 * [taylor]: Taking taylor expansion of PI in k 1.866 * [taylor]: Taking taylor expansion of n in k 1.867 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 1.867 * [taylor]: Taking taylor expansion of 1.0 in k 1.867 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 1.867 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.867 * [taylor]: Taking taylor expansion of k in k 1.868 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 1.868 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 1.868 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 1.868 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 1.868 * [taylor]: Taking taylor expansion of 0.5 in k 1.868 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 1.868 * [taylor]: Taking taylor expansion of 1.0 in k 1.868 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.869 * [taylor]: Taking taylor expansion of k in k 1.869 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.869 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.869 * [taylor]: Taking taylor expansion of 2.0 in k 1.869 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.869 * [taylor]: Taking taylor expansion of PI in k 1.869 * [taylor]: Taking taylor expansion of n in k 1.875 * [taylor]: Taking taylor expansion of 0 in n 1.876 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.876 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.876 * [taylor]: Taking taylor expansion of +nan.0 in n 1.876 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.876 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.876 * [taylor]: Taking taylor expansion of 0.5 in n 1.876 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.876 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.876 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.876 * [taylor]: Taking taylor expansion of 2.0 in n 1.876 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.876 * [taylor]: Taking taylor expansion of PI in n 1.876 * [taylor]: Taking taylor expansion of n in n 1.878 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.878 * [taylor]: Taking taylor expansion of 1.0 in n 1.878 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.878 * [taylor]: Taking taylor expansion of k in n 1.887 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.887 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.887 * [taylor]: Taking taylor expansion of +nan.0 in n 1.887 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.887 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.887 * [taylor]: Taking taylor expansion of 0.5 in n 1.887 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.887 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.887 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.887 * [taylor]: Taking taylor expansion of 2.0 in n 1.887 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.887 * [taylor]: Taking taylor expansion of PI in n 1.887 * [taylor]: Taking taylor expansion of n in n 1.888 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.888 * [taylor]: Taking taylor expansion of 1.0 in n 1.888 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.888 * [taylor]: Taking taylor expansion of k in n 1.906 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 1.906 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 1.906 * [taylor]: Taking taylor expansion of +nan.0 in n 1.906 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 1.906 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 1.906 * [taylor]: Taking taylor expansion of 0.5 in n 1.906 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 1.906 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.906 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.906 * [taylor]: Taking taylor expansion of 2.0 in n 1.906 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.906 * [taylor]: Taking taylor expansion of PI in n 1.906 * [taylor]: Taking taylor expansion of n in n 1.907 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 1.908 * [taylor]: Taking taylor expansion of 1.0 in n 1.908 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.908 * [taylor]: Taking taylor expansion of k in n 1.917 * [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 1.917 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 1.917 * [taylor]: Taking taylor expansion of 1.0 in n 1.917 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 1.917 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 1.917 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 1.917 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 1.917 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 1.917 * [taylor]: Taking taylor expansion of 0.5 in n 1.917 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.917 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.917 * [taylor]: Taking taylor expansion of k in n 1.917 * [taylor]: Taking taylor expansion of 1.0 in n 1.917 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.917 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.917 * [taylor]: Taking taylor expansion of -2.0 in n 1.917 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.917 * [taylor]: Taking taylor expansion of PI in n 1.917 * [taylor]: Taking taylor expansion of n in n 1.921 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.921 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.921 * [taylor]: Taking taylor expansion of -1 in n 1.921 * [taylor]: Taking taylor expansion of k in n 1.922 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.922 * [taylor]: Taking taylor expansion of 1.0 in k 1.922 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.922 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.922 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.922 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.922 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.922 * [taylor]: Taking taylor expansion of 0.5 in k 1.922 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.922 * [taylor]: Taking taylor expansion of k in k 1.922 * [taylor]: Taking taylor expansion of 1.0 in k 1.922 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.922 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.922 * [taylor]: Taking taylor expansion of -2.0 in k 1.922 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.923 * [taylor]: Taking taylor expansion of PI in k 1.923 * [taylor]: Taking taylor expansion of n in k 1.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.923 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.923 * [taylor]: Taking taylor expansion of -1 in k 1.923 * [taylor]: Taking taylor expansion of k in k 1.925 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 1.925 * [taylor]: Taking taylor expansion of 1.0 in k 1.925 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 1.925 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 1.925 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 1.925 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 1.925 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 1.925 * [taylor]: Taking taylor expansion of 0.5 in k 1.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 1.925 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.925 * [taylor]: Taking taylor expansion of k in k 1.925 * [taylor]: Taking taylor expansion of 1.0 in k 1.925 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.925 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.925 * [taylor]: Taking taylor expansion of -2.0 in k 1.925 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.926 * [taylor]: Taking taylor expansion of PI in k 1.926 * [taylor]: Taking taylor expansion of n in k 1.926 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.926 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.926 * [taylor]: Taking taylor expansion of -1 in k 1.926 * [taylor]: Taking taylor expansion of k in k 1.928 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.928 * [taylor]: Taking taylor expansion of +nan.0 in n 1.928 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.928 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.928 * [taylor]: Taking taylor expansion of 0.5 in n 1.928 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.928 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.928 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.928 * [taylor]: Taking taylor expansion of k in n 1.928 * [taylor]: Taking taylor expansion of 1.0 in n 1.928 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.928 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.928 * [taylor]: Taking taylor expansion of -2.0 in n 1.928 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.928 * [taylor]: Taking taylor expansion of PI in n 1.928 * [taylor]: Taking taylor expansion of n in n 1.938 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.938 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.938 * [taylor]: Taking taylor expansion of +nan.0 in n 1.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.938 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.938 * [taylor]: Taking taylor expansion of 0.5 in n 1.938 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.939 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.939 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.939 * [taylor]: Taking taylor expansion of k in n 1.939 * [taylor]: Taking taylor expansion of 1.0 in n 1.939 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.939 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.939 * [taylor]: Taking taylor expansion of -2.0 in n 1.939 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.939 * [taylor]: Taking taylor expansion of PI in n 1.939 * [taylor]: Taking taylor expansion of n in n 1.958 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 1.958 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 1.958 * [taylor]: Taking taylor expansion of +nan.0 in n 1.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 1.958 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 1.958 * [taylor]: Taking taylor expansion of 0.5 in n 1.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 1.958 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.958 * [taylor]: Taking taylor expansion of k in n 1.958 * [taylor]: Taking taylor expansion of 1.0 in n 1.958 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.958 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.958 * [taylor]: Taking taylor expansion of -2.0 in n 1.958 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.958 * [taylor]: Taking taylor expansion of PI in n 1.958 * [taylor]: Taking taylor expansion of n in n 1.973 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.974 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 1.974 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 1.974 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 1.974 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 1.974 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 1.974 * [taylor]: Taking taylor expansion of 0.5 in k 1.974 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.974 * [taylor]: Taking taylor expansion of 1.0 in k 1.974 * [taylor]: Taking taylor expansion of k in k 1.974 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.974 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.974 * [taylor]: Taking taylor expansion of 2.0 in k 1.974 * [taylor]: Taking taylor expansion of (* n PI) in k 1.974 * [taylor]: Taking taylor expansion of n in k 1.974 * [taylor]: Taking taylor expansion of PI in k 1.975 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.975 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.975 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.975 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.975 * [taylor]: Taking taylor expansion of 0.5 in n 1.975 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.975 * [taylor]: Taking taylor expansion of 1.0 in n 1.975 * [taylor]: Taking taylor expansion of k in n 1.975 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.975 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.975 * [taylor]: Taking taylor expansion of 2.0 in n 1.975 * [taylor]: Taking taylor expansion of (* n PI) in n 1.975 * [taylor]: Taking taylor expansion of n in n 1.975 * [taylor]: Taking taylor expansion of PI in n 1.981 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 1.981 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 1.981 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 1.981 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 1.981 * [taylor]: Taking taylor expansion of 0.5 in n 1.981 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 1.981 * [taylor]: Taking taylor expansion of 1.0 in n 1.981 * [taylor]: Taking taylor expansion of k in n 1.981 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.981 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.981 * [taylor]: Taking taylor expansion of 2.0 in n 1.981 * [taylor]: Taking taylor expansion of (* n PI) in n 1.981 * [taylor]: Taking taylor expansion of n in n 1.981 * [taylor]: Taking taylor expansion of PI in n 1.987 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 1.987 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 1.987 * [taylor]: Taking taylor expansion of 0.5 in k 1.987 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 1.987 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 1.987 * [taylor]: Taking taylor expansion of 1.0 in k 1.987 * [taylor]: Taking taylor expansion of k in k 1.987 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.987 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.987 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.987 * [taylor]: Taking taylor expansion of 2.0 in k 1.987 * [taylor]: Taking taylor expansion of PI in k 1.988 * [taylor]: Taking taylor expansion of (log n) in k 1.988 * [taylor]: Taking taylor expansion of n in k 1.998 * [taylor]: Taking taylor expansion of 0 in k 2.015 * [taylor]: Taking taylor expansion of 0 in k 2.035 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.035 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.035 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.035 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.035 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.035 * [taylor]: Taking taylor expansion of 0.5 in k 2.035 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.035 * [taylor]: Taking taylor expansion of 1.0 in k 2.035 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.035 * [taylor]: Taking taylor expansion of k in k 2.036 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.036 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.036 * [taylor]: Taking taylor expansion of 2.0 in k 2.036 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.036 * [taylor]: Taking taylor expansion of PI in k 2.036 * [taylor]: Taking taylor expansion of n in k 2.037 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.037 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.037 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.037 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.037 * [taylor]: Taking taylor expansion of 0.5 in n 2.037 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.037 * [taylor]: Taking taylor expansion of 1.0 in n 2.037 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.037 * [taylor]: Taking taylor expansion of k in n 2.037 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.037 * [taylor]: Taking taylor expansion of 2.0 in n 2.037 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.037 * [taylor]: Taking taylor expansion of PI in n 2.037 * [taylor]: Taking taylor expansion of n in n 2.041 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.041 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.041 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.041 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.041 * [taylor]: Taking taylor expansion of 0.5 in n 2.041 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.041 * [taylor]: Taking taylor expansion of 1.0 in n 2.041 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.041 * [taylor]: Taking taylor expansion of k in n 2.041 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.041 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.041 * [taylor]: Taking taylor expansion of 2.0 in n 2.041 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.041 * [taylor]: Taking taylor expansion of PI in n 2.041 * [taylor]: Taking taylor expansion of n in n 2.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 2.045 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 2.045 * [taylor]: Taking taylor expansion of 0.5 in k 2.045 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 2.045 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.045 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.045 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.045 * [taylor]: Taking taylor expansion of 2.0 in k 2.045 * [taylor]: Taking taylor expansion of PI in k 2.046 * [taylor]: Taking taylor expansion of (log n) in k 2.046 * [taylor]: Taking taylor expansion of n in k 2.046 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.046 * [taylor]: Taking taylor expansion of 1.0 in k 2.046 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.046 * [taylor]: Taking taylor expansion of k in k 2.062 * [taylor]: Taking taylor expansion of 0 in k 2.070 * [taylor]: Taking taylor expansion of 0 in k 2.080 * [taylor]: Taking taylor expansion of 0 in k 2.081 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.081 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.081 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.081 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.081 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.081 * [taylor]: Taking taylor expansion of 0.5 in k 2.081 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.081 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.081 * [taylor]: Taking taylor expansion of k in k 2.082 * [taylor]: Taking taylor expansion of 1.0 in k 2.082 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.082 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.082 * [taylor]: Taking taylor expansion of -2.0 in k 2.082 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.082 * [taylor]: Taking taylor expansion of PI in k 2.082 * [taylor]: Taking taylor expansion of n in k 2.083 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.083 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.083 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.083 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.083 * [taylor]: Taking taylor expansion of 0.5 in n 2.083 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.083 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.083 * [taylor]: Taking taylor expansion of k in n 2.083 * [taylor]: Taking taylor expansion of 1.0 in n 2.083 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.083 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.083 * [taylor]: Taking taylor expansion of -2.0 in n 2.083 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.083 * [taylor]: Taking taylor expansion of PI in n 2.083 * [taylor]: Taking taylor expansion of n in n 2.087 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.087 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.087 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.087 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.087 * [taylor]: Taking taylor expansion of 0.5 in n 2.087 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.087 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.087 * [taylor]: Taking taylor expansion of k in n 2.087 * [taylor]: Taking taylor expansion of 1.0 in n 2.087 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.087 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.087 * [taylor]: Taking taylor expansion of -2.0 in n 2.087 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.087 * [taylor]: Taking taylor expansion of PI in n 2.087 * [taylor]: Taking taylor expansion of n in n 2.091 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 2.091 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 2.091 * [taylor]: Taking taylor expansion of 0.5 in k 2.091 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 2.091 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.091 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.091 * [taylor]: Taking taylor expansion of k in k 2.091 * [taylor]: Taking taylor expansion of 1.0 in k 2.091 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.091 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.091 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.091 * [taylor]: Taking taylor expansion of -2.0 in k 2.091 * [taylor]: Taking taylor expansion of PI in k 2.092 * [taylor]: Taking taylor expansion of (log n) in k 2.092 * [taylor]: Taking taylor expansion of n in k 2.102 * [taylor]: Taking taylor expansion of 0 in k 2.109 * [taylor]: Taking taylor expansion of 0 in k 2.119 * [taylor]: Taking taylor expansion of 0 in k 2.120 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.120 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.120 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.120 * [taylor]: Taking taylor expansion of 2.0 in n 2.120 * [taylor]: Taking taylor expansion of (* n PI) in n 2.120 * [taylor]: Taking taylor expansion of n in n 2.120 * [taylor]: Taking taylor expansion of PI in n 2.120 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.120 * [taylor]: Taking taylor expansion of 2.0 in n 2.120 * [taylor]: Taking taylor expansion of (* n PI) in n 2.120 * [taylor]: Taking taylor expansion of n in n 2.120 * [taylor]: Taking taylor expansion of PI in n 2.134 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.134 * [taylor]: Taking taylor expansion of 2.0 in n 2.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.134 * [taylor]: Taking taylor expansion of PI in n 2.134 * [taylor]: Taking taylor expansion of n in n 2.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.134 * [taylor]: Taking taylor expansion of 2.0 in n 2.134 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.134 * [taylor]: Taking taylor expansion of PI in n 2.134 * [taylor]: Taking taylor expansion of n in n 2.144 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.144 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.144 * [taylor]: Taking taylor expansion of -2.0 in n 2.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.144 * [taylor]: Taking taylor expansion of PI in n 2.144 * [taylor]: Taking taylor expansion of n in n 2.144 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.144 * [taylor]: Taking taylor expansion of -2.0 in n 2.144 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.144 * [taylor]: Taking taylor expansion of PI in n 2.144 * [taylor]: Taking taylor expansion of n in n 2.160 * * * [progress]: simplifying candidates 2.173 * [simplify]: Simplifying using # : (expm1 (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (log1p (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (- (log 1.0) (log (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (- (log (/ 1.0 (sqrt (sqrt k)))) (log (sqrt (sqrt k)))) (log (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (exp (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (* (* (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k)))) (/ 1.0 (sqrt (sqrt k)))) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))))) (cbrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (sqrt (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))) (- (/ 1.0 (sqrt (sqrt k)))) (- (sqrt (sqrt k))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt (/ 1.0 (sqrt (sqrt k)))) (cbrt (/ 1.0 (sqrt (sqrt k))))) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 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(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))) (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))) (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))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt (sqrt k)))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (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 (sqrt (sqrt k)))) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt k))) (sqrt (sqrt (sqrt k)))) (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 (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (sqrt k))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (/ 1 (sqrt k))) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (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))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- (* +nan.0 (/ 1 (pow k 3)))))) (+ (- (* +nan.0 (/ 1 (pow k 2)))) (fma +nan.0 (/ 1 k) (- +nan.0))) (+ (- (* +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)) (fma +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)))) (fma +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))) (fma +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)))))))))) (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (- (fma (* 0.25 (pow k 2)) (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (* (* 0.5 k) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (log (* 2.0 PI))) (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) 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 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 2.293 * * * [progress]: adding candidates to table 3.956 * * [progress]: iteration 3 / 4 3.956 * * * [progress]: picking best candidate 3.990 * * * * [pick]: Picked # 3.990 * * * [progress]: localizing error 4.009 * * * [progress]: generating rewritten candidates 4.009 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 4.020 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 4.025 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 4.044 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.058 * * * [progress]: generating series expansions 4.058 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 4.059 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 4.059 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.059 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.059 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.059 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.059 * [taylor]: Taking taylor expansion of 0.5 in k 4.059 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.059 * [taylor]: Taking taylor expansion of 1.0 in k 4.059 * [taylor]: Taking taylor expansion of k in k 4.059 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.059 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.059 * [taylor]: Taking taylor expansion of 2.0 in k 4.059 * [taylor]: Taking taylor expansion of (* n PI) in k 4.059 * [taylor]: Taking taylor expansion of n in k 4.059 * [taylor]: Taking taylor expansion of PI in k 4.060 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.060 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.060 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.060 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.060 * [taylor]: Taking taylor expansion of 0.5 in n 4.060 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.060 * [taylor]: Taking taylor expansion of 1.0 in n 4.060 * [taylor]: Taking taylor expansion of k in n 4.060 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.060 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.060 * [taylor]: Taking taylor expansion of 2.0 in n 4.060 * [taylor]: Taking taylor expansion of (* n PI) in n 4.060 * [taylor]: Taking taylor expansion of n in n 4.060 * [taylor]: Taking taylor expansion of PI in n 4.066 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.066 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.066 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.066 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.066 * [taylor]: Taking taylor expansion of 0.5 in n 4.066 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.066 * [taylor]: Taking taylor expansion of 1.0 in n 4.066 * [taylor]: Taking taylor expansion of k in n 4.066 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.066 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.067 * [taylor]: Taking taylor expansion of 2.0 in n 4.067 * [taylor]: Taking taylor expansion of (* n PI) in n 4.067 * [taylor]: Taking taylor expansion of n in n 4.067 * [taylor]: Taking taylor expansion of PI in n 4.072 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 4.072 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 4.072 * [taylor]: Taking taylor expansion of 0.5 in k 4.072 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 4.072 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.072 * [taylor]: Taking taylor expansion of 1.0 in k 4.072 * [taylor]: Taking taylor expansion of k in k 4.072 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 4.072 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.072 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.073 * [taylor]: Taking taylor expansion of 2.0 in k 4.073 * [taylor]: Taking taylor expansion of PI in k 4.074 * [taylor]: Taking taylor expansion of (log n) in k 4.074 * [taylor]: Taking taylor expansion of n in k 4.083 * [taylor]: Taking taylor expansion of 0 in k 4.100 * [taylor]: Taking taylor expansion of 0 in k 4.120 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 4.120 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.120 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.120 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.120 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.120 * [taylor]: Taking taylor expansion of 0.5 in k 4.121 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.121 * [taylor]: Taking taylor expansion of 1.0 in k 4.121 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.121 * [taylor]: Taking taylor expansion of k in k 4.121 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.121 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.121 * [taylor]: Taking taylor expansion of 2.0 in k 4.121 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.121 * [taylor]: Taking taylor expansion of PI in k 4.121 * [taylor]: Taking taylor expansion of n in k 4.122 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.122 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.122 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.122 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.122 * [taylor]: Taking taylor expansion of 0.5 in n 4.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.122 * [taylor]: Taking taylor expansion of 1.0 in n 4.122 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.122 * [taylor]: Taking taylor expansion of k in n 4.122 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.122 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.122 * [taylor]: Taking taylor expansion of 2.0 in n 4.122 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.122 * [taylor]: Taking taylor expansion of PI in n 4.122 * [taylor]: Taking taylor expansion of n in n 4.133 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.133 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.133 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.133 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.133 * [taylor]: Taking taylor expansion of 0.5 in n 4.133 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.133 * [taylor]: Taking taylor expansion of 1.0 in n 4.133 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.133 * [taylor]: Taking taylor expansion of k in n 4.133 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.133 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.133 * [taylor]: Taking taylor expansion of 2.0 in n 4.133 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.133 * [taylor]: Taking taylor expansion of PI in n 4.133 * [taylor]: Taking taylor expansion of n in n 4.137 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 4.137 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 4.137 * [taylor]: Taking taylor expansion of 0.5 in k 4.137 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 4.137 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 4.137 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 4.137 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 4.137 * [taylor]: Taking taylor expansion of 2.0 in k 4.137 * [taylor]: Taking taylor expansion of PI in k 4.138 * [taylor]: Taking taylor expansion of (log n) in k 4.138 * [taylor]: Taking taylor expansion of n in k 4.138 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.138 * [taylor]: Taking taylor expansion of 1.0 in k 4.138 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.138 * [taylor]: Taking taylor expansion of k in k 4.148 * [taylor]: Taking taylor expansion of 0 in k 4.156 * [taylor]: Taking taylor expansion of 0 in k 4.166 * [taylor]: Taking taylor expansion of 0 in k 4.167 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 4.167 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.167 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.167 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.167 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.167 * [taylor]: Taking taylor expansion of 0.5 in k 4.167 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.167 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.167 * [taylor]: Taking taylor expansion of k in k 4.168 * [taylor]: Taking taylor expansion of 1.0 in k 4.168 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.168 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.168 * [taylor]: Taking taylor expansion of -2.0 in k 4.168 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.168 * [taylor]: Taking taylor expansion of PI in k 4.168 * [taylor]: Taking taylor expansion of n in k 4.169 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.169 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.169 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.169 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.169 * [taylor]: Taking taylor expansion of 0.5 in n 4.169 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.169 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.169 * [taylor]: Taking taylor expansion of k in n 4.169 * [taylor]: Taking taylor expansion of 1.0 in n 4.169 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.169 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.169 * [taylor]: Taking taylor expansion of -2.0 in n 4.169 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.169 * [taylor]: Taking taylor expansion of PI in n 4.169 * [taylor]: Taking taylor expansion of n in n 4.173 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.173 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.173 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.173 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.173 * [taylor]: Taking taylor expansion of 0.5 in n 4.173 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.173 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.173 * [taylor]: Taking taylor expansion of k in n 4.173 * [taylor]: Taking taylor expansion of 1.0 in n 4.173 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.173 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.173 * [taylor]: Taking taylor expansion of -2.0 in n 4.173 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.173 * [taylor]: Taking taylor expansion of PI in n 4.173 * [taylor]: Taking taylor expansion of n in n 4.177 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 4.177 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 4.177 * [taylor]: Taking taylor expansion of 0.5 in k 4.177 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 4.177 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.177 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.177 * [taylor]: Taking taylor expansion of k in k 4.178 * [taylor]: Taking taylor expansion of 1.0 in k 4.178 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 4.178 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 4.178 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 4.178 * [taylor]: Taking taylor expansion of -2.0 in k 4.178 * [taylor]: Taking taylor expansion of PI in k 4.179 * [taylor]: Taking taylor expansion of (log n) in k 4.179 * [taylor]: Taking taylor expansion of n in k 4.188 * [taylor]: Taking taylor expansion of 0 in k 4.196 * [taylor]: Taking taylor expansion of 0 in k 4.206 * [taylor]: Taking taylor expansion of 0 in k 4.206 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 4.207 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.207 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.207 * [taylor]: Taking taylor expansion of 2.0 in n 4.207 * [taylor]: Taking taylor expansion of (* n PI) in n 4.207 * [taylor]: Taking taylor expansion of n in n 4.207 * [taylor]: Taking taylor expansion of PI in n 4.207 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.207 * [taylor]: Taking taylor expansion of 2.0 in n 4.207 * [taylor]: Taking taylor expansion of (* n PI) in n 4.207 * [taylor]: Taking taylor expansion of n in n 4.207 * [taylor]: Taking taylor expansion of PI in n 4.227 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.227 * [taylor]: Taking taylor expansion of 2.0 in n 4.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.227 * [taylor]: Taking taylor expansion of PI in n 4.227 * [taylor]: Taking taylor expansion of n in n 4.227 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.227 * [taylor]: Taking taylor expansion of 2.0 in n 4.227 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.228 * [taylor]: Taking taylor expansion of PI in n 4.228 * [taylor]: Taking taylor expansion of n in n 4.237 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.237 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.237 * [taylor]: Taking taylor expansion of -2.0 in n 4.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.237 * [taylor]: Taking taylor expansion of PI in n 4.237 * [taylor]: Taking taylor expansion of n in n 4.238 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.238 * [taylor]: Taking taylor expansion of -2.0 in n 4.238 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.238 * [taylor]: Taking taylor expansion of PI in n 4.238 * [taylor]: Taking taylor expansion of n in n 4.247 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 4.248 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in (k n) around 0 4.248 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 4.248 * [taylor]: Taking taylor expansion of 1.0 in n 4.248 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 4.248 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 4.248 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 4.248 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 4.248 * [taylor]: Taking taylor expansion of 1/4 in n 4.248 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 4.248 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.248 * [taylor]: Taking taylor expansion of k in n 4.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 4.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 4.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 4.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 4.248 * [taylor]: Taking taylor expansion of 0.5 in n 4.248 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 4.248 * [taylor]: Taking taylor expansion of 1.0 in n 4.248 * [taylor]: Taking taylor expansion of k in n 4.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.248 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.248 * [taylor]: Taking taylor expansion of 2.0 in n 4.248 * [taylor]: Taking taylor expansion of (* n PI) in n 4.249 * [taylor]: Taking taylor expansion of n in n 4.249 * [taylor]: Taking taylor expansion of PI in n 4.254 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.254 * [taylor]: Taking taylor expansion of 1.0 in k 4.254 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.254 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.254 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.254 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.254 * [taylor]: Taking taylor expansion of 1/4 in k 4.254 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.254 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.254 * [taylor]: Taking taylor expansion of k in k 4.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.255 * [taylor]: Taking taylor expansion of 0.5 in k 4.255 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.255 * [taylor]: Taking taylor expansion of 1.0 in k 4.255 * [taylor]: Taking taylor expansion of k in k 4.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.256 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.256 * [taylor]: Taking taylor expansion of 2.0 in k 4.256 * [taylor]: Taking taylor expansion of (* n PI) in k 4.256 * [taylor]: Taking taylor expansion of n in k 4.256 * [taylor]: Taking taylor expansion of PI in k 4.257 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 4.257 * [taylor]: Taking taylor expansion of 1.0 in k 4.257 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 4.257 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.257 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.257 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.257 * [taylor]: Taking taylor expansion of 1/4 in k 4.257 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.257 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.257 * [taylor]: Taking taylor expansion of k in k 4.258 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 4.258 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 4.258 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 4.258 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 4.258 * [taylor]: Taking taylor expansion of 0.5 in k 4.258 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 4.258 * [taylor]: Taking taylor expansion of 1.0 in k 4.258 * [taylor]: Taking taylor expansion of k in k 4.258 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.258 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.258 * [taylor]: Taking taylor expansion of 2.0 in k 4.258 * [taylor]: Taking taylor expansion of (* n PI) in k 4.258 * [taylor]: Taking taylor expansion of n in k 4.258 * [taylor]: Taking taylor expansion of PI in k 4.260 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ 1 k) 1/4) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 4.260 * [taylor]: Taking taylor expansion of 1.0 in n 4.260 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 4.260 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 4.260 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 4.260 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 4.260 * [taylor]: Taking taylor expansion of 1/4 in n 4.260 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 4.260 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.260 * [taylor]: Taking taylor expansion of k in n 4.260 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.260 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.260 * [taylor]: Taking taylor expansion of 0.5 in n 4.260 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.260 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.261 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.261 * [taylor]: Taking taylor expansion of 1.0 in n 4.261 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.261 * [taylor]: Taking taylor expansion of 2.0 in n 4.262 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.263 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.263 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.263 * [taylor]: Taking taylor expansion of 1.0 in n 4.263 * [taylor]: Taking taylor expansion of (log n) in n 4.263 * [taylor]: Taking taylor expansion of n in n 4.263 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.263 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.263 * [taylor]: Taking taylor expansion of 1.0 in n 4.263 * [taylor]: Taking taylor expansion of (log PI) in n 4.263 * [taylor]: Taking taylor expansion of PI in n 4.281 * [taylor]: Taking taylor expansion of (- (* 0.5 (* (pow (/ 1 k) 1/4) (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 4.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (/ 1 k) 1/4) (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 4.282 * [taylor]: Taking taylor expansion of 0.5 in n 4.282 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 4.282 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 4.282 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 4.282 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 4.282 * [taylor]: Taking taylor expansion of 1/4 in n 4.282 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 4.282 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.282 * [taylor]: Taking taylor expansion of k in n 4.282 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 4.282 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.282 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.282 * [taylor]: Taking taylor expansion of 2.0 in n 4.282 * [taylor]: Taking taylor expansion of (* n PI) in n 4.282 * [taylor]: Taking taylor expansion of n in n 4.282 * [taylor]: Taking taylor expansion of PI in n 4.285 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.285 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.285 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.285 * [taylor]: Taking taylor expansion of 0.5 in n 4.285 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.285 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.285 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.285 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.285 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.285 * [taylor]: Taking taylor expansion of 1.0 in n 4.286 * [taylor]: Taking taylor expansion of (log PI) in n 4.286 * [taylor]: Taking taylor expansion of PI in n 4.288 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.288 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.288 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.288 * [taylor]: Taking taylor expansion of 1.0 in n 4.288 * [taylor]: Taking taylor expansion of (log n) in n 4.288 * [taylor]: Taking taylor expansion of n in n 4.288 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.289 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.289 * [taylor]: Taking taylor expansion of 1.0 in n 4.289 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.289 * [taylor]: Taking taylor expansion of 2.0 in n 4.340 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (/ 1 k) 1/4) (* (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 4.340 * [taylor]: Taking taylor expansion of 0.125 in n 4.340 * [taylor]: Taking taylor expansion of (* (pow (/ 1 k) 1/4) (* (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 4.340 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 4.340 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 4.340 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 4.340 * [taylor]: Taking taylor expansion of 1/4 in n 4.340 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in n 4.340 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.340 * [taylor]: Taking taylor expansion of k in n 4.340 * [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 4.340 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.340 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.340 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.340 * [taylor]: Taking taylor expansion of 0.5 in n 4.340 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.340 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.340 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.340 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.340 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.340 * [taylor]: Taking taylor expansion of 1.0 in n 4.340 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.340 * [taylor]: Taking taylor expansion of 2.0 in n 4.342 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.342 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.342 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.342 * [taylor]: Taking taylor expansion of 1.0 in n 4.342 * [taylor]: Taking taylor expansion of (log PI) in n 4.342 * [taylor]: Taking taylor expansion of PI in n 4.344 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.344 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.344 * [taylor]: Taking taylor expansion of 1.0 in n 4.344 * [taylor]: Taking taylor expansion of (log n) in n 4.344 * [taylor]: Taking taylor expansion of n in n 4.349 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.349 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.349 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.349 * [taylor]: Taking taylor expansion of 2.0 in n 4.349 * [taylor]: Taking taylor expansion of (* n PI) in n 4.349 * [taylor]: Taking taylor expansion of n in n 4.349 * [taylor]: Taking taylor expansion of PI in n 4.371 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 4.371 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 4.371 * [taylor]: Taking taylor expansion of 1.0 in n 4.371 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 4.371 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 4.371 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 4.371 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 4.371 * [taylor]: Taking taylor expansion of 1/4 in n 4.371 * [taylor]: Taking taylor expansion of (log k) in n 4.371 * [taylor]: Taking taylor expansion of k in n 4.371 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 4.371 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 4.371 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 4.371 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 4.371 * [taylor]: Taking taylor expansion of 0.5 in n 4.371 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.371 * [taylor]: Taking taylor expansion of 1.0 in n 4.371 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.371 * [taylor]: Taking taylor expansion of k in n 4.371 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.371 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.371 * [taylor]: Taking taylor expansion of 2.0 in n 4.371 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.371 * [taylor]: Taking taylor expansion of PI in n 4.371 * [taylor]: Taking taylor expansion of n in n 4.375 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.375 * [taylor]: Taking taylor expansion of 1.0 in k 4.375 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.375 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.375 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.375 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.375 * [taylor]: Taking taylor expansion of 1/4 in k 4.375 * [taylor]: Taking taylor expansion of (log k) in k 4.375 * [taylor]: Taking taylor expansion of k in k 4.376 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.376 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.376 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.376 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.376 * [taylor]: Taking taylor expansion of 0.5 in k 4.376 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.376 * [taylor]: Taking taylor expansion of 1.0 in k 4.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.376 * [taylor]: Taking taylor expansion of k in k 4.376 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.376 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.376 * [taylor]: Taking taylor expansion of 2.0 in k 4.376 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.376 * [taylor]: Taking taylor expansion of PI in k 4.376 * [taylor]: Taking taylor expansion of n in k 4.377 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 4.378 * [taylor]: Taking taylor expansion of 1.0 in k 4.378 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 4.378 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.378 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.378 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.378 * [taylor]: Taking taylor expansion of 1/4 in k 4.378 * [taylor]: Taking taylor expansion of (log k) in k 4.378 * [taylor]: Taking taylor expansion of k in k 4.378 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 4.378 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 4.379 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 4.379 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 4.379 * [taylor]: Taking taylor expansion of 0.5 in k 4.379 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 4.379 * [taylor]: Taking taylor expansion of 1.0 in k 4.379 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.379 * [taylor]: Taking taylor expansion of k in k 4.379 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.379 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.379 * [taylor]: Taking taylor expansion of 2.0 in k 4.379 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.379 * [taylor]: Taking taylor expansion of PI in k 4.379 * [taylor]: Taking taylor expansion of n in k 4.381 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow k 1/4) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 4.381 * [taylor]: Taking taylor expansion of 1.0 in n 4.381 * [taylor]: Taking taylor expansion of (* (pow k 1/4) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 4.381 * [taylor]: Taking taylor expansion of (pow k 1/4) in n 4.381 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in n 4.381 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in n 4.381 * [taylor]: Taking taylor expansion of 1/4 in n 4.381 * [taylor]: Taking taylor expansion of (log k) in n 4.381 * [taylor]: Taking taylor expansion of k in n 4.381 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 4.381 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 4.381 * [taylor]: Taking taylor expansion of 0.5 in n 4.381 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 4.381 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.381 * [taylor]: Taking taylor expansion of 2.0 in n 4.381 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.381 * [taylor]: Taking taylor expansion of PI in n 4.381 * [taylor]: Taking taylor expansion of n in n 4.382 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 4.382 * [taylor]: Taking taylor expansion of 1.0 in n 4.382 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.382 * [taylor]: Taking taylor expansion of k in n 4.391 * [taylor]: Taking taylor expansion of 0 in n 4.405 * [taylor]: Taking taylor expansion of 0 in n 4.432 * [taylor]: Taking taylor expansion of 0 in n 4.433 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in (k n) around 0 4.433 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in n 4.433 * [taylor]: Taking taylor expansion of 1.0 in n 4.433 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 4.433 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in n 4.433 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in n 4.433 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.433 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.433 * [taylor]: Taking taylor expansion of -1 in n 4.433 * [taylor]: Taking taylor expansion of k in n 4.434 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 4.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 4.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 4.434 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 4.434 * [taylor]: Taking taylor expansion of 0.5 in n 4.434 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.434 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.434 * [taylor]: Taking taylor expansion of k in n 4.434 * [taylor]: Taking taylor expansion of 1.0 in n 4.434 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.434 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.434 * [taylor]: Taking taylor expansion of -2.0 in n 4.434 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.434 * [taylor]: Taking taylor expansion of PI in n 4.434 * [taylor]: Taking taylor expansion of n in n 4.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.438 * [taylor]: Taking taylor expansion of 1.0 in k 4.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.438 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.438 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.438 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.438 * [taylor]: Taking taylor expansion of -1 in k 4.438 * [taylor]: Taking taylor expansion of k in k 4.445 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.445 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.445 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.445 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.445 * [taylor]: Taking taylor expansion of 0.5 in k 4.445 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.445 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.445 * [taylor]: Taking taylor expansion of k in k 4.445 * [taylor]: Taking taylor expansion of 1.0 in k 4.445 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.445 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.445 * [taylor]: Taking taylor expansion of -2.0 in k 4.445 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.445 * [taylor]: Taking taylor expansion of PI in k 4.446 * [taylor]: Taking taylor expansion of n in k 4.446 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))))) in k 4.446 * [taylor]: Taking taylor expansion of 1.0 in k 4.446 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt (/ -1 k)))) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 4.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.446 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.446 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.446 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.447 * [taylor]: Taking taylor expansion of -1 in k 4.447 * [taylor]: Taking taylor expansion of k in k 4.453 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 4.453 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 4.453 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 4.453 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 4.453 * [taylor]: Taking taylor expansion of 0.5 in k 4.453 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 4.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.453 * [taylor]: Taking taylor expansion of k in k 4.454 * [taylor]: Taking taylor expansion of 1.0 in k 4.454 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.454 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.454 * [taylor]: Taking taylor expansion of -2.0 in k 4.454 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.454 * [taylor]: Taking taylor expansion of PI in k 4.454 * [taylor]: Taking taylor expansion of n in k 4.455 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt +nan.0) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 4.456 * [taylor]: Taking taylor expansion of 1.0 in n 4.456 * [taylor]: Taking taylor expansion of (* (sqrt +nan.0) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 4.456 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in n 4.456 * [taylor]: Taking taylor expansion of +nan.0 in n 4.456 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.456 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.456 * [taylor]: Taking taylor expansion of 0.5 in n 4.456 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.456 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.456 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.456 * [taylor]: Taking taylor expansion of k in n 4.456 * [taylor]: Taking taylor expansion of 1.0 in n 4.456 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.456 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.457 * [taylor]: Taking taylor expansion of -2.0 in n 4.457 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.457 * [taylor]: Taking taylor expansion of PI in n 4.457 * [taylor]: Taking taylor expansion of n in n 4.466 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)))) in n 4.466 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0))) in n 4.466 * [taylor]: Taking taylor expansion of +nan.0 in n 4.466 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)) in n 4.466 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.466 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.466 * [taylor]: Taking taylor expansion of 0.5 in n 4.466 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.466 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.466 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.466 * [taylor]: Taking taylor expansion of k in n 4.467 * [taylor]: Taking taylor expansion of 1.0 in n 4.467 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.467 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.467 * [taylor]: Taking taylor expansion of -2.0 in n 4.467 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.467 * [taylor]: Taking taylor expansion of PI in n 4.467 * [taylor]: Taking taylor expansion of n in n 4.471 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in n 4.471 * [taylor]: Taking taylor expansion of +nan.0 in n 4.502 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)))))) in n 4.502 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt +nan.0) 3))) (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0))))) in n 4.502 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt +nan.0) 3))) in n 4.502 * [taylor]: Taking taylor expansion of +nan.0 in n 4.502 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt +nan.0) 3)) in n 4.502 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.502 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.502 * [taylor]: Taking taylor expansion of 0.5 in n 4.502 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.502 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.502 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.502 * [taylor]: Taking taylor expansion of k in n 4.502 * [taylor]: Taking taylor expansion of 1.0 in n 4.502 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.502 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.502 * [taylor]: Taking taylor expansion of -2.0 in n 4.502 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.502 * [taylor]: Taking taylor expansion of PI in n 4.502 * [taylor]: Taking taylor expansion of n in n 4.514 * [taylor]: Taking taylor expansion of (pow (sqrt +nan.0) 3) in n 4.514 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in n 4.514 * [taylor]: Taking taylor expansion of +nan.0 in n 4.518 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)))) in n 4.518 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0))) in n 4.518 * [taylor]: Taking taylor expansion of +nan.0 in n 4.518 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (sqrt +nan.0)) in n 4.518 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 4.518 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 4.518 * [taylor]: Taking taylor expansion of 0.5 in n 4.518 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 4.518 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 4.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.518 * [taylor]: Taking taylor expansion of k in n 4.518 * [taylor]: Taking taylor expansion of 1.0 in n 4.518 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.518 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.518 * [taylor]: Taking taylor expansion of -2.0 in n 4.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.519 * [taylor]: Taking taylor expansion of PI in n 4.519 * [taylor]: Taking taylor expansion of n in n 4.523 * [taylor]: Taking taylor expansion of (sqrt +nan.0) in n 4.523 * [taylor]: Taking taylor expansion of +nan.0 in n 4.542 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.543 * [approximate]: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 4.543 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.543 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.543 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.543 * [taylor]: Taking taylor expansion of 1/4 in k 4.543 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.543 * [taylor]: Taking taylor expansion of k in k 4.544 * [taylor]: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 4.544 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 4.544 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 4.544 * [taylor]: Taking taylor expansion of 1/4 in k 4.544 * [taylor]: Taking taylor expansion of (log (/ 1 k)) in k 4.544 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.544 * [taylor]: Taking taylor expansion of k in k 4.603 * [approximate]: Taking taylor expansion of (pow k 1/4) in (k) around 0 4.603 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.604 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.604 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.604 * [taylor]: Taking taylor expansion of 1/4 in k 4.604 * [taylor]: Taking taylor expansion of (log k) in k 4.604 * [taylor]: Taking taylor expansion of k in k 4.604 * [taylor]: Taking taylor expansion of (pow k 1/4) in k 4.604 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log k))) in k 4.604 * [taylor]: Taking taylor expansion of (* 1/4 (log k)) in k 4.604 * [taylor]: Taking taylor expansion of 1/4 in k 4.604 * [taylor]: Taking taylor expansion of (log k) in k 4.604 * [taylor]: Taking taylor expansion of k in k 4.655 * [approximate]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in (k) around 0 4.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.655 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.655 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.655 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.655 * [taylor]: Taking taylor expansion of -1 in k 4.655 * [taylor]: Taking taylor expansion of k in k 4.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt (/ -1 k)))) in k 4.662 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 k))) in k 4.662 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.662 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.662 * [taylor]: Taking taylor expansion of -1 in k 4.662 * [taylor]: Taking taylor expansion of k in k 4.695 * * * [progress]: simplifying candidates 4.698 * [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))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (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)))) (* (* (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)))) (* (* (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 (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 (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 (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)))) (sqrt (* (/ 1.0 (sqrt (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)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (sqrt k)) (pow (* (* 2.0 PI) n) (/ 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)))) (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 (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (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 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt (sqrt k))) 1) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt (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))) (* (/ (cbrt 1.0) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt (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 (sqrt (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 (sqrt (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))) (* (/ (sqrt 1.0) (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt (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 (sqrt (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 (sqrt (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))) (* (/ 1.0 (cbrt (sqrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt (sqrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (cbrt k)))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt (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 (sqrt (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 (sqrt (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 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (expm1 (/ 1 (sqrt (sqrt k)))) (log1p (/ 1 (sqrt (sqrt k)))) (- 1/2) (- 1) (- (/ 1/2 2)) (- (/ 1 2)) (- (/ (/ 1 2) 2)) (- (log (sqrt (sqrt k)))) (- 0 (log (sqrt (sqrt k)))) (- (log 1) (log (sqrt (sqrt k)))) (log (/ 1 (sqrt (sqrt k)))) (exp (/ 1 (sqrt (sqrt k)))) (/ (* (* 1 1) 1) (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k)))) (* (cbrt (/ 1 (sqrt (sqrt k)))) (cbrt (/ 1 (sqrt (sqrt k))))) (cbrt (/ 1 (sqrt (sqrt k)))) (* (* (/ 1 (sqrt (sqrt k))) (/ 1 (sqrt (sqrt k)))) (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (sqrt (/ 1 (sqrt (sqrt k)))) (- 1) (- (sqrt (sqrt k))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ (cbrt 1) (cbrt (sqrt (sqrt k)))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ 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(sqrt (sqrt k))) (sqrt (sqrt k)) (/ 1 (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k))))) (/ 1 (/ (fabs (cbrt (sqrt k))) 1)) (/ 1 (sqrt (sqrt (* (cbrt k) (cbrt k))))) (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ 1 (sqrt (sqrt (sqrt k)))) 1 (/ (sqrt (sqrt k)) (cbrt 1)) (sqrt (sqrt k)) (sqrt (sqrt k)) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* (* 2.0 PI) n) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* (* 2.0 PI) n) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* (* 2.0 PI) n) 0.5) (log n)) (pow (* (* 2.0 PI) n) 0.5))))) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (fma (- 0.5) (* (pow (pow k 3) 1/4) (+ (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) (fma 1.0 (* (pow (/ 1 k) 1/4) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (* (* 0.25 (pow (pow k 7) 1/4)) (log (* 2.0 PI))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) (* (* 0.125 (pow (pow k 7) 1/4)) (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) (* (pow (log (* 2.0 PI)) 2) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1.0 (* (pow (/ 1 k) 1/4) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))))) (+ (- (* 1.0 (* (sqrt +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)))))) (* (sqrt +nan.0) (pow k 2))))) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (sqrt +nan.0) k)) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* (pow (sqrt +nan.0) 3) (pow k 2)))))) (pow k -1/4) (pow (/ 1 k) 1/4) (+ (- (sqrt +nan.0) (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))) (* +nan.0 (- (/ 1 (* (sqrt +nan.0) k)) (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))))) 4.799 * * * [progress]: adding candidates to table 5.275 * * [progress]: iteration 4 / 4 5.275 * * * [progress]: picking best candidate 5.311 * * * * [pick]: Picked # 5.311 * * * [progress]: localizing error 5.328 * * * [progress]: generating rewritten candidates 5.328 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 5.336 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.348 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.352 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.376 * * * [progress]: generating series expansions 5.376 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 5.377 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in (k) around 0 5.377 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.377 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.377 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.377 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.377 * [taylor]: Taking taylor expansion of 0.5 in k 5.377 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.377 * [taylor]: Taking taylor expansion of 1.0 in k 5.377 * [taylor]: Taking taylor expansion of k in k 5.377 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.377 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.377 * [taylor]: Taking taylor expansion of 2.0 in k 5.377 * [taylor]: Taking taylor expansion of PI in k 5.382 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.382 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.382 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.382 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.382 * [taylor]: Taking taylor expansion of 0.5 in k 5.382 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.382 * [taylor]: Taking taylor expansion of 1.0 in k 5.382 * [taylor]: Taking taylor expansion of k in k 5.382 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.382 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.382 * [taylor]: Taking taylor expansion of 2.0 in k 5.382 * [taylor]: Taking taylor expansion of PI in k 5.433 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in (k) around 0 5.433 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.433 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.433 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.433 * [taylor]: Taking taylor expansion of 0.5 in k 5.433 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.433 * [taylor]: Taking taylor expansion of 1.0 in k 5.433 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.433 * [taylor]: Taking taylor expansion of k in k 5.434 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.434 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.434 * [taylor]: Taking taylor expansion of 2.0 in k 5.434 * [taylor]: Taking taylor expansion of PI in k 5.437 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.437 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.437 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.437 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.437 * [taylor]: Taking taylor expansion of 0.5 in k 5.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.437 * [taylor]: Taking taylor expansion of 1.0 in k 5.437 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.437 * [taylor]: Taking taylor expansion of k in k 5.438 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.438 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.438 * [taylor]: Taking taylor expansion of 2.0 in k 5.438 * [taylor]: Taking taylor expansion of PI in k 5.443 * [approximate]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in (k) around 0 5.443 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.443 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.443 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.444 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.444 * [taylor]: Taking taylor expansion of 0.5 in k 5.444 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.444 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.444 * [taylor]: Taking taylor expansion of k in k 5.444 * [taylor]: Taking taylor expansion of 1.0 in k 5.444 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.444 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.444 * [taylor]: Taking taylor expansion of 2.0 in k 5.444 * [taylor]: Taking taylor expansion of PI in k 5.447 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.447 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.447 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.447 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.447 * [taylor]: Taking taylor expansion of 0.5 in k 5.447 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.447 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.447 * [taylor]: Taking taylor expansion of k in k 5.448 * [taylor]: Taking taylor expansion of 1.0 in k 5.448 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.448 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.448 * [taylor]: Taking taylor expansion of 2.0 in k 5.448 * [taylor]: Taking taylor expansion of PI in k 5.459 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.460 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in (k) around 0 5.460 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 5.460 * [taylor]: Taking taylor expansion of 1.0 in k 5.460 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 5.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.460 * [taylor]: Taking taylor expansion of k in k 5.461 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.461 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.461 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.461 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.461 * [taylor]: Taking taylor expansion of 0.5 in k 5.461 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.461 * [taylor]: Taking taylor expansion of 1.0 in k 5.461 * [taylor]: Taking taylor expansion of k in k 5.461 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.461 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.461 * [taylor]: Taking taylor expansion of 2.0 in k 5.461 * [taylor]: Taking taylor expansion of PI in k 5.466 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k))))) in k 5.466 * [taylor]: Taking taylor expansion of 1.0 in k 5.466 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 PI) (* 0.5 (- 1.0 k)))) in k 5.466 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.466 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.466 * [taylor]: Taking taylor expansion of k in k 5.467 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.467 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.467 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.467 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.467 * [taylor]: Taking taylor expansion of 0.5 in k 5.468 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.468 * [taylor]: Taking taylor expansion of 1.0 in k 5.468 * [taylor]: Taking taylor expansion of k in k 5.468 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.468 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.468 * [taylor]: Taking taylor expansion of 2.0 in k 5.468 * [taylor]: Taking taylor expansion of PI in k 5.693 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in (k) around 0 5.693 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.693 * [taylor]: Taking taylor expansion of 1.0 in k 5.693 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.693 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.693 * [taylor]: Taking taylor expansion of k in k 5.694 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.694 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.694 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.694 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.694 * [taylor]: Taking taylor expansion of 0.5 in k 5.694 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.694 * [taylor]: Taking taylor expansion of 1.0 in k 5.694 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.694 * [taylor]: Taking taylor expansion of k in k 5.694 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.694 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.694 * [taylor]: Taking taylor expansion of 2.0 in k 5.695 * [taylor]: Taking taylor expansion of PI in k 5.698 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 5.698 * [taylor]: Taking taylor expansion of 1.0 in k 5.698 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 5.698 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.698 * [taylor]: Taking taylor expansion of k in k 5.699 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 5.699 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 5.699 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 5.699 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 5.699 * [taylor]: Taking taylor expansion of 0.5 in k 5.699 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 5.699 * [taylor]: Taking taylor expansion of 1.0 in k 5.699 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.700 * [taylor]: Taking taylor expansion of k in k 5.700 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.700 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.700 * [taylor]: Taking taylor expansion of 2.0 in k 5.700 * [taylor]: Taking taylor expansion of PI in k 5.731 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k) around 0 5.731 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.731 * [taylor]: Taking taylor expansion of 1.0 in k 5.731 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.731 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.731 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.731 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.731 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.731 * [taylor]: Taking taylor expansion of 0.5 in k 5.731 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.731 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.731 * [taylor]: Taking taylor expansion of k in k 5.732 * [taylor]: Taking taylor expansion of 1.0 in k 5.732 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.732 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.732 * [taylor]: Taking taylor expansion of 2.0 in k 5.732 * [taylor]: Taking taylor expansion of PI in k 5.735 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.735 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.735 * [taylor]: Taking taylor expansion of -1 in k 5.735 * [taylor]: Taking taylor expansion of k in k 5.737 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 5.737 * [taylor]: Taking taylor expansion of 1.0 in k 5.737 * [taylor]: Taking taylor expansion of (/ (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 5.737 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 5.738 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 5.738 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 5.738 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 5.738 * [taylor]: Taking taylor expansion of 0.5 in k 5.738 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 5.738 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.738 * [taylor]: Taking taylor expansion of k in k 5.738 * [taylor]: Taking taylor expansion of 1.0 in k 5.738 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.738 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.738 * [taylor]: Taking taylor expansion of 2.0 in k 5.738 * [taylor]: Taking taylor expansion of PI in k 5.741 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.741 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.741 * [taylor]: Taking taylor expansion of -1 in k 5.741 * [taylor]: Taking taylor expansion of k in k 5.763 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.763 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.763 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.763 * [taylor]: Taking taylor expansion of 1.0 in k 5.763 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.763 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.763 * [taylor]: Taking taylor expansion of k in k 5.764 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.764 * [taylor]: Taking taylor expansion of 1.0 in k 5.764 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.764 * [taylor]: Taking taylor expansion of k in k 5.776 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.776 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.776 * [taylor]: Taking taylor expansion of 1.0 in k 5.776 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.776 * [taylor]: Taking taylor expansion of k in k 5.778 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.778 * [taylor]: Taking taylor expansion of 1.0 in k 5.778 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.778 * [taylor]: Taking taylor expansion of k in k 5.789 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.789 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.789 * [taylor]: Taking taylor expansion of 1.0 in k 5.789 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.789 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.789 * [taylor]: Taking taylor expansion of -1 in k 5.789 * [taylor]: Taking taylor expansion of k in k 5.791 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.791 * [taylor]: Taking taylor expansion of 1.0 in k 5.791 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.791 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.791 * [taylor]: Taking taylor expansion of -1 in k 5.791 * [taylor]: Taking taylor expansion of k in k 5.803 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.804 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in (k n) around 0 5.804 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in n 5.804 * [taylor]: Taking taylor expansion of 1.0 in n 5.804 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in n 5.804 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.804 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.804 * [taylor]: Taking taylor expansion of k in n 5.804 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in n 5.804 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in n 5.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in n 5.804 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in n 5.805 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.805 * [taylor]: Taking taylor expansion of 0.5 in n 5.805 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.805 * [taylor]: Taking taylor expansion of 1.0 in n 5.805 * [taylor]: Taking taylor expansion of k in n 5.805 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.805 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.805 * [taylor]: Taking taylor expansion of 2.0 in n 5.805 * [taylor]: Taking taylor expansion of PI in n 5.807 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in n 5.807 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in n 5.807 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in n 5.807 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 5.807 * [taylor]: Taking taylor expansion of 0.5 in n 5.807 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 5.807 * [taylor]: Taking taylor expansion of 1.0 in n 5.807 * [taylor]: Taking taylor expansion of k in n 5.807 * [taylor]: Taking taylor expansion of (log n) in n 5.807 * [taylor]: Taking taylor expansion of n in n 5.808 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 5.808 * [taylor]: Taking taylor expansion of 1.0 in k 5.808 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 5.808 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.808 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.808 * [taylor]: Taking taylor expansion of k in k 5.816 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.816 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.816 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.816 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.816 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.816 * [taylor]: Taking taylor expansion of 0.5 in k 5.816 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.816 * [taylor]: Taking taylor expansion of 1.0 in k 5.816 * [taylor]: Taking taylor expansion of k in k 5.816 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.816 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.816 * [taylor]: Taking taylor expansion of 2.0 in k 5.816 * [taylor]: Taking taylor expansion of PI in k 5.821 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.821 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.821 * [taylor]: Taking taylor expansion of 0.5 in k 5.821 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.821 * [taylor]: Taking taylor expansion of 1.0 in k 5.821 * [taylor]: Taking taylor expansion of k in k 5.821 * [taylor]: Taking taylor expansion of (log n) in k 5.821 * [taylor]: Taking taylor expansion of n in k 5.822 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))))) in k 5.822 * [taylor]: Taking taylor expansion of 1.0 in k 5.822 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k))))) in k 5.822 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.822 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.822 * [taylor]: Taking taylor expansion of k in k 5.824 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) (pow n (* 0.5 (- 1.0 k)))) in k 5.824 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 k))) in k 5.824 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI)))) in k 5.824 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 PI))) in k 5.824 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.824 * [taylor]: Taking taylor expansion of 0.5 in k 5.824 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.824 * [taylor]: Taking taylor expansion of 1.0 in k 5.824 * [taylor]: Taking taylor expansion of k in k 5.824 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 5.824 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 5.824 * [taylor]: Taking taylor expansion of 2.0 in k 5.824 * [taylor]: Taking taylor expansion of PI in k 5.828 * [taylor]: Taking taylor expansion of (pow n (* 0.5 (- 1.0 k))) in k 5.828 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log n))) in k 5.828 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log n)) in k 5.828 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 5.828 * [taylor]: Taking taylor expansion of 0.5 in k 5.828 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 5.828 * [taylor]: Taking taylor expansion of 1.0 in k 5.828 * [taylor]: Taking taylor expansion of k in k 5.828 * [taylor]: Taking taylor expansion of (log n) in k 5.828 * [taylor]: Taking taylor expansion of n in k 5.831 * [taylor]: Taking taylor expansion of 0 in n 5.857 * [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 5.857 * [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 5.857 * [taylor]: Taking taylor expansion of +nan.0 in n 5.857 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.857 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.857 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.857 * [taylor]: Taking taylor expansion of 0.5 in n 5.857 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.857 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.857 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.857 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.857 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.857 * [taylor]: Taking taylor expansion of 1.0 in n 5.858 * [taylor]: Taking taylor expansion of (log PI) in n 5.858 * [taylor]: Taking taylor expansion of PI in n 5.859 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.860 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.860 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.860 * [taylor]: Taking taylor expansion of 1.0 in n 5.860 * [taylor]: Taking taylor expansion of (log n) in n 5.860 * [taylor]: Taking taylor expansion of n in n 5.860 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.860 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.860 * [taylor]: Taking taylor expansion of 1.0 in n 5.860 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.860 * [taylor]: Taking taylor expansion of 2.0 in n 5.919 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +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 n)))))))) in n 5.919 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +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 n))))))) in n 5.919 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 5.919 * [taylor]: Taking taylor expansion of +nan.0 in n 5.919 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 5.919 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 5.919 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 5.919 * [taylor]: Taking taylor expansion of 2.0 in n 5.919 * [taylor]: Taking taylor expansion of PI in n 5.920 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.920 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.921 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.921 * [taylor]: Taking taylor expansion of 0.5 in n 5.921 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.921 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.921 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.921 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.921 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.921 * [taylor]: Taking taylor expansion of 1.0 in n 5.921 * [taylor]: Taking taylor expansion of (log PI) in n 5.921 * [taylor]: Taking taylor expansion of PI in n 5.923 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.923 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.923 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.923 * [taylor]: Taking taylor expansion of 1.0 in n 5.923 * [taylor]: Taking taylor expansion of (log n) in n 5.923 * [taylor]: Taking taylor expansion of n in n 5.923 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.923 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.923 * [taylor]: Taking taylor expansion of 1.0 in n 5.923 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.923 * [taylor]: Taking taylor expansion of 2.0 in n 5.929 * [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 n)))))) in n 5.929 * [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 n))))) in n 5.929 * [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 5.929 * [taylor]: Taking taylor expansion of +nan.0 in n 5.929 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.929 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.929 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.929 * [taylor]: Taking taylor expansion of 0.5 in n 5.929 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.929 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.929 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.929 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.929 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.929 * [taylor]: Taking taylor expansion of 1.0 in n 5.929 * [taylor]: Taking taylor expansion of (log PI) in n 5.929 * [taylor]: Taking taylor expansion of PI in n 5.931 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.931 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.932 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.932 * [taylor]: Taking taylor expansion of 1.0 in n 5.932 * [taylor]: Taking taylor expansion of (log n) in n 5.932 * [taylor]: Taking taylor expansion of n in n 5.932 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.932 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.932 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.932 * [taylor]: Taking taylor expansion of 1.0 in n 5.932 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.932 * [taylor]: Taking taylor expansion of 2.0 in n 5.938 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)))) in n 5.938 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 5.938 * [taylor]: Taking taylor expansion of +nan.0 in n 5.938 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 5.938 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.938 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.938 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.938 * [taylor]: Taking taylor expansion of 0.5 in n 5.938 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.938 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.938 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.938 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.938 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.938 * [taylor]: Taking taylor expansion of 1.0 in n 5.938 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.938 * [taylor]: Taking taylor expansion of 2.0 in n 5.940 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.940 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.940 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.940 * [taylor]: Taking taylor expansion of 1.0 in n 5.940 * [taylor]: Taking taylor expansion of (log PI) in n 5.940 * [taylor]: Taking taylor expansion of PI in n 5.942 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.942 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.942 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.942 * [taylor]: Taking taylor expansion of 1.0 in n 5.942 * [taylor]: Taking taylor expansion of (log n) in n 5.942 * [taylor]: Taking taylor expansion of n in n 5.947 * [taylor]: Taking taylor expansion of (log n) in n 5.947 * [taylor]: Taking taylor expansion of n in n 6.061 * [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 (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))))) in n 6.061 * [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 (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))))) in n 6.062 * [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 6.062 * [taylor]: Taking taylor expansion of +nan.0 in n 6.062 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 6.062 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 6.062 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 6.062 * [taylor]: Taking taylor expansion of 0.5 in n 6.062 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 6.062 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 6.062 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.062 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.062 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.062 * [taylor]: Taking taylor expansion of 1.0 in n 6.062 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.062 * [taylor]: Taking taylor expansion of 2.0 in n 6.064 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 6.064 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.064 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.064 * [taylor]: Taking taylor expansion of 1.0 in n 6.064 * [taylor]: Taking taylor expansion of (log n) in n 6.064 * [taylor]: Taking taylor expansion of n in n 6.064 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.064 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.064 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.064 * [taylor]: Taking taylor expansion of 1.0 in n 6.064 * [taylor]: Taking taylor expansion of (log PI) in n 6.064 * [taylor]: Taking taylor expansion of PI in n 6.070 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))))) in n 6.070 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (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 n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))))) in n 6.071 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.071 * [taylor]: Taking taylor expansion of +nan.0 in n 6.071 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 PI)) 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.071 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 PI)) 2) in n 6.071 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.071 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.071 * [taylor]: Taking taylor expansion of 2.0 in n 6.071 * [taylor]: Taking taylor expansion of PI in n 6.072 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.072 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.072 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.072 * [taylor]: Taking taylor expansion of 0.5 in n 6.072 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.072 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.072 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.072 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.072 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.072 * [taylor]: Taking taylor expansion of 1.0 in n 6.072 * [taylor]: Taking taylor expansion of (log PI) in n 6.072 * [taylor]: Taking taylor expansion of PI in n 6.074 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.074 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.075 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.075 * [taylor]: Taking taylor expansion of 1.0 in n 6.075 * [taylor]: Taking taylor expansion of (log n) in n 6.075 * [taylor]: Taking taylor expansion of n in n 6.075 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.075 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.075 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.075 * [taylor]: Taking taylor expansion of 1.0 in n 6.075 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.075 * [taylor]: Taking taylor expansion of 2.0 in n 6.081 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))))) in n 6.081 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))))) in n 6.081 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n))) in n 6.081 * [taylor]: Taking taylor expansion of +nan.0 in n 6.081 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (log n)) in n 6.081 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.081 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.081 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.081 * [taylor]: Taking taylor expansion of 0.5 in n 6.081 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.081 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.081 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.081 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.081 * [taylor]: Taking taylor expansion of 1.0 in n 6.081 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.081 * [taylor]: Taking taylor expansion of 2.0 in n 6.083 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.083 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.083 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.083 * [taylor]: Taking taylor expansion of 1.0 in n 6.083 * [taylor]: Taking taylor expansion of (log PI) in n 6.083 * [taylor]: Taking taylor expansion of PI in n 6.085 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.085 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.085 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.085 * [taylor]: Taking taylor expansion of 1.0 in n 6.085 * [taylor]: Taking taylor expansion of (log n) in n 6.086 * [taylor]: Taking taylor expansion of n in n 6.090 * [taylor]: Taking taylor expansion of (log n) in n 6.090 * [taylor]: Taking taylor expansion of n in n 6.090 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))))) in n 6.090 * [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 n) 2))) (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))))) in n 6.090 * [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 n) 2))) in n 6.090 * [taylor]: Taking taylor expansion of +nan.0 in n 6.090 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (pow (log n) 2)) in n 6.090 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 6.090 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 6.090 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 6.090 * [taylor]: Taking taylor expansion of 0.5 in n 6.090 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 6.090 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 6.090 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.090 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.090 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.090 * [taylor]: Taking taylor expansion of 1.0 in n 6.091 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.091 * [taylor]: Taking taylor expansion of 2.0 in n 6.092 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 6.092 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.092 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.092 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.092 * [taylor]: Taking taylor expansion of 1.0 in n 6.092 * [taylor]: Taking taylor expansion of (log PI) in n 6.092 * [taylor]: Taking taylor expansion of PI in n 6.094 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.094 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.094 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.094 * [taylor]: Taking taylor expansion of 1.0 in n 6.095 * [taylor]: Taking taylor expansion of (log n) in n 6.095 * [taylor]: Taking taylor expansion of n in n 6.105 * [taylor]: Taking taylor expansion of (pow (log n) 2) in n 6.105 * [taylor]: Taking taylor expansion of (log n) in n 6.105 * [taylor]: Taking taylor expansion of n in n 6.106 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))))) in n 6.106 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) in n 6.106 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.106 * [taylor]: Taking taylor expansion of +nan.0 in n 6.106 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.106 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.106 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.106 * [taylor]: Taking taylor expansion of 2.0 in n 6.106 * [taylor]: Taking taylor expansion of PI in n 6.107 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.107 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.107 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.107 * [taylor]: Taking taylor expansion of 0.5 in n 6.107 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.107 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.107 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.107 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.108 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.108 * [taylor]: Taking taylor expansion of 1.0 in n 6.108 * [taylor]: Taking taylor expansion of (log PI) in n 6.108 * [taylor]: Taking taylor expansion of PI in n 6.110 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.110 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.110 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.110 * [taylor]: Taking taylor expansion of 1.0 in n 6.110 * [taylor]: Taking taylor expansion of (log n) in n 6.110 * [taylor]: Taking taylor expansion of n in n 6.110 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.110 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.110 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.110 * [taylor]: Taking taylor expansion of 1.0 in n 6.110 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.110 * [taylor]: Taking taylor expansion of 2.0 in n 6.116 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)))) in n 6.116 * [taylor]: Taking taylor expansion of (* +nan.0 (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) in n 6.116 * [taylor]: Taking taylor expansion of +nan.0 in n 6.116 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 PI)) (log n)) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) in n 6.116 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (log n)) in n 6.116 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.116 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.116 * [taylor]: Taking taylor expansion of 2.0 in n 6.116 * [taylor]: Taking taylor expansion of PI in n 6.117 * [taylor]: Taking taylor expansion of (log n) in n 6.118 * [taylor]: Taking taylor expansion of n in n 6.118 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) in n 6.118 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))))) in n 6.118 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))))) in n 6.118 * [taylor]: Taking taylor expansion of 0.5 in n 6.118 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) in n 6.118 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) in n 6.118 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.118 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.118 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.118 * [taylor]: Taking taylor expansion of 1.0 in n 6.118 * [taylor]: Taking taylor expansion of (log PI) in n 6.118 * [taylor]: Taking taylor expansion of PI in n 6.120 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow n 1.0)) in n 6.120 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.120 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.120 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.120 * [taylor]: Taking taylor expansion of 1.0 in n 6.120 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.120 * [taylor]: Taking taylor expansion of 2.0 in n 6.122 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.122 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.122 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.122 * [taylor]: Taking taylor expansion of 1.0 in n 6.122 * [taylor]: Taking taylor expansion of (log n) in n 6.122 * [taylor]: Taking taylor expansion of n in n 6.241 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in (k n) around 0 6.241 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in n 6.241 * [taylor]: Taking taylor expansion of 1.0 in n 6.241 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in n 6.241 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.241 * [taylor]: Taking taylor expansion of k in n 6.242 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in n 6.242 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in n 6.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in n 6.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.242 * [taylor]: Taking taylor expansion of 0.5 in n 6.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.242 * [taylor]: Taking taylor expansion of 1.0 in n 6.242 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.242 * [taylor]: Taking taylor expansion of k in n 6.242 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.242 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.242 * [taylor]: Taking taylor expansion of n in n 6.243 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in n 6.243 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in n 6.243 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in n 6.243 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 6.243 * [taylor]: Taking taylor expansion of 0.5 in n 6.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.243 * [taylor]: Taking taylor expansion of 1.0 in n 6.243 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.243 * [taylor]: Taking taylor expansion of k in n 6.243 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.243 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.243 * [taylor]: Taking taylor expansion of 2.0 in n 6.243 * [taylor]: Taking taylor expansion of PI in n 6.246 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 6.246 * [taylor]: Taking taylor expansion of 1.0 in k 6.246 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.246 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.246 * [taylor]: Taking taylor expansion of k in k 6.247 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.247 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.247 * [taylor]: Taking taylor expansion of 0.5 in k 6.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.247 * [taylor]: Taking taylor expansion of 1.0 in k 6.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.247 * [taylor]: Taking taylor expansion of k in k 6.247 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.247 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.248 * [taylor]: Taking taylor expansion of n in k 6.248 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.249 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.249 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.249 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.249 * [taylor]: Taking taylor expansion of 0.5 in k 6.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.249 * [taylor]: Taking taylor expansion of 1.0 in k 6.249 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.249 * [taylor]: Taking taylor expansion of k in k 6.249 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.249 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.249 * [taylor]: Taking taylor expansion of 2.0 in k 6.249 * [taylor]: Taking taylor expansion of PI in k 6.253 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))))) in k 6.253 * [taylor]: Taking taylor expansion of 1.0 in k 6.253 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))))) in k 6.253 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.253 * [taylor]: Taking taylor expansion of k in k 6.254 * [taylor]: Taking taylor expansion of (* (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k))))) in k 6.254 * [taylor]: Taking taylor expansion of (pow (/ 1 n) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n)))) in k 6.254 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ 1 n))) in k 6.254 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.254 * [taylor]: Taking taylor expansion of 0.5 in k 6.254 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.254 * [taylor]: Taking taylor expansion of 1.0 in k 6.254 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.254 * [taylor]: Taking taylor expansion of k in k 6.254 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in k 6.254 * [taylor]: Taking taylor expansion of (/ 1 n) in k 6.254 * [taylor]: Taking taylor expansion of n in k 6.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (- 1.0 (/ 1 k)))) in k 6.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI)))) in k 6.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 PI))) in k 6.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 6.255 * [taylor]: Taking taylor expansion of 0.5 in k 6.255 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 6.255 * [taylor]: Taking taylor expansion of 1.0 in k 6.255 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.255 * [taylor]: Taking taylor expansion of k in k 6.256 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.256 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.256 * [taylor]: Taking taylor expansion of 2.0 in k 6.256 * [taylor]: Taking taylor expansion of PI in k 6.262 * [taylor]: Taking taylor expansion of 0 in n 6.265 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 6.265 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 6.265 * [taylor]: Taking taylor expansion of +nan.0 in n 6.265 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 6.265 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 6.265 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 6.265 * [taylor]: Taking taylor expansion of 0.5 in n 6.265 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 6.265 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.265 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.265 * [taylor]: Taking taylor expansion of n in n 6.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.266 * [taylor]: Taking taylor expansion of 1.0 in n 6.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.266 * [taylor]: Taking taylor expansion of k in n 6.267 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 6.267 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 6.267 * [taylor]: Taking taylor expansion of 0.5 in n 6.267 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 6.267 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.267 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.267 * [taylor]: Taking taylor expansion of 2.0 in n 6.267 * [taylor]: Taking taylor expansion of PI in n 6.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.268 * [taylor]: Taking taylor expansion of 1.0 in n 6.268 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.268 * [taylor]: Taking taylor expansion of k in n 6.280 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 6.280 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 6.280 * [taylor]: Taking taylor expansion of +nan.0 in n 6.280 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 6.280 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 6.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 6.280 * [taylor]: Taking taylor expansion of 0.5 in n 6.280 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 6.280 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.280 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.280 * [taylor]: Taking taylor expansion of n in n 6.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.281 * [taylor]: Taking taylor expansion of 1.0 in n 6.281 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.281 * [taylor]: Taking taylor expansion of k in n 6.282 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 6.282 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 6.282 * [taylor]: Taking taylor expansion of 0.5 in n 6.282 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 6.282 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.282 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.282 * [taylor]: Taking taylor expansion of 2.0 in n 6.282 * [taylor]: Taking taylor expansion of PI in n 6.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.283 * [taylor]: Taking taylor expansion of 1.0 in n 6.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.283 * [taylor]: Taking taylor expansion of k in n 6.314 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))))) in n 6.314 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))))) in n 6.314 * [taylor]: Taking taylor expansion of +nan.0 in n 6.314 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))))) in n 6.314 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k))))) in n 6.314 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (/ 1 n)) (- 1.0 (/ 1 k)))) in n 6.314 * [taylor]: Taking taylor expansion of 0.5 in n 6.314 * [taylor]: Taking taylor expansion of (* (log (/ 1 n)) (- 1.0 (/ 1 k))) in n 6.314 * [taylor]: Taking taylor expansion of (log (/ 1 n)) in n 6.314 * [taylor]: Taking taylor expansion of (/ 1 n) in n 6.314 * [taylor]: Taking taylor expansion of n in n 6.314 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.314 * [taylor]: Taking taylor expansion of 1.0 in n 6.314 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.314 * [taylor]: Taking taylor expansion of k in n 6.315 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))))) in n 6.315 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (- 1.0 (/ 1 k)))) in n 6.315 * [taylor]: Taking taylor expansion of 0.5 in n 6.315 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (- 1.0 (/ 1 k))) in n 6.315 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.315 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.315 * [taylor]: Taking taylor expansion of 2.0 in n 6.315 * [taylor]: Taking taylor expansion of PI in n 6.316 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 6.316 * [taylor]: Taking taylor expansion of 1.0 in n 6.316 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.317 * [taylor]: Taking taylor expansion of k in n 6.326 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in (k n) around 0 6.326 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in n 6.326 * [taylor]: Taking taylor expansion of 1.0 in n 6.326 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 6.326 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in n 6.326 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in n 6.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in n 6.326 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.326 * [taylor]: Taking taylor expansion of 0.5 in n 6.326 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.326 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.326 * [taylor]: Taking taylor expansion of k in n 6.326 * [taylor]: Taking taylor expansion of 1.0 in n 6.327 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.327 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.327 * [taylor]: Taking taylor expansion of -1 in n 6.327 * [taylor]: Taking taylor expansion of n in n 6.328 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in n 6.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in n 6.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in n 6.329 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 6.329 * [taylor]: Taking taylor expansion of 0.5 in n 6.329 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.329 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.329 * [taylor]: Taking taylor expansion of k in n 6.329 * [taylor]: Taking taylor expansion of 1.0 in n 6.329 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.329 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.329 * [taylor]: Taking taylor expansion of 2.0 in n 6.329 * [taylor]: Taking taylor expansion of PI in n 6.331 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.331 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.331 * [taylor]: Taking taylor expansion of -1 in n 6.331 * [taylor]: Taking taylor expansion of k in n 6.334 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 6.334 * [taylor]: Taking taylor expansion of 1.0 in k 6.334 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 6.334 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.334 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.334 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.334 * [taylor]: Taking taylor expansion of 0.5 in k 6.334 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.334 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.334 * [taylor]: Taking taylor expansion of k in k 6.334 * [taylor]: Taking taylor expansion of 1.0 in k 6.334 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.334 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.334 * [taylor]: Taking taylor expansion of -1 in k 6.334 * [taylor]: Taking taylor expansion of n in k 6.335 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.335 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.335 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.335 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.335 * [taylor]: Taking taylor expansion of 0.5 in k 6.335 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.335 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.335 * [taylor]: Taking taylor expansion of k in k 6.335 * [taylor]: Taking taylor expansion of 1.0 in k 6.336 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.336 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.336 * [taylor]: Taking taylor expansion of 2.0 in k 6.336 * [taylor]: Taking taylor expansion of PI in k 6.339 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.339 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.339 * [taylor]: Taking taylor expansion of -1 in k 6.339 * [taylor]: Taking taylor expansion of k in k 6.342 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k)))) in k 6.342 * [taylor]: Taking taylor expansion of 1.0 in k 6.342 * [taylor]: Taking taylor expansion of (/ (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 6.342 * [taylor]: Taking taylor expansion of (* (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0)))) in k 6.342 * [taylor]: Taking taylor expansion of (pow (/ -1 n) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.342 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n)))) in k 6.342 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (/ -1 n))) in k 6.342 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.342 * [taylor]: Taking taylor expansion of 0.5 in k 6.342 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.342 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.342 * [taylor]: Taking taylor expansion of k in k 6.343 * [taylor]: Taking taylor expansion of 1.0 in k 6.343 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in k 6.343 * [taylor]: Taking taylor expansion of (/ -1 n) in k 6.343 * [taylor]: Taking taylor expansion of -1 in k 6.343 * [taylor]: Taking taylor expansion of n in k 6.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 PI) (* 0.5 (+ (/ 1 k) 1.0))) in k 6.344 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI)))) in k 6.344 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* 2.0 PI))) in k 6.344 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 6.344 * [taylor]: Taking taylor expansion of 0.5 in k 6.344 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 6.344 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.344 * [taylor]: Taking taylor expansion of k in k 6.344 * [taylor]: Taking taylor expansion of 1.0 in k 6.344 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.344 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.344 * [taylor]: Taking taylor expansion of 2.0 in k 6.344 * [taylor]: Taking taylor expansion of PI in k 6.347 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.347 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.347 * [taylor]: Taking taylor expansion of -1 in k 6.347 * [taylor]: Taking taylor expansion of k in k 6.351 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 6.351 * [taylor]: Taking taylor expansion of +nan.0 in n 6.351 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 6.352 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 6.352 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 6.352 * [taylor]: Taking taylor expansion of 0.5 in n 6.352 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 6.352 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.352 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.352 * [taylor]: Taking taylor expansion of k in n 6.352 * [taylor]: Taking taylor expansion of 1.0 in n 6.352 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.352 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.352 * [taylor]: Taking taylor expansion of -1 in n 6.352 * [taylor]: Taking taylor expansion of n in n 6.354 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 6.354 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 6.354 * [taylor]: Taking taylor expansion of 0.5 in n 6.354 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 6.354 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.354 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.354 * [taylor]: Taking taylor expansion of 2.0 in n 6.354 * [taylor]: Taking taylor expansion of PI in n 6.355 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.355 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.355 * [taylor]: Taking taylor expansion of k in n 6.355 * [taylor]: Taking taylor expansion of 1.0 in n 6.368 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 6.368 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 6.368 * [taylor]: Taking taylor expansion of +nan.0 in n 6.368 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 6.368 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 6.368 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 6.368 * [taylor]: Taking taylor expansion of 0.5 in n 6.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 6.368 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.368 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.368 * [taylor]: Taking taylor expansion of k in n 6.368 * [taylor]: Taking taylor expansion of 1.0 in n 6.368 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.368 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.368 * [taylor]: Taking taylor expansion of -1 in n 6.368 * [taylor]: Taking taylor expansion of n in n 6.370 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 6.370 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 6.370 * [taylor]: Taking taylor expansion of 0.5 in n 6.370 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 6.370 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.370 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.370 * [taylor]: Taking taylor expansion of 2.0 in n 6.371 * [taylor]: Taking taylor expansion of PI in n 6.371 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.372 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.372 * [taylor]: Taking taylor expansion of k in n 6.372 * [taylor]: Taking taylor expansion of 1.0 in n 6.405 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))))) in n 6.405 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))))) in n 6.405 * [taylor]: Taking taylor expansion of +nan.0 in n 6.405 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))))) in n 6.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n))))) in n 6.405 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (/ -1 n)))) in n 6.405 * [taylor]: Taking taylor expansion of 0.5 in n 6.406 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (/ -1 n))) in n 6.406 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.406 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.406 * [taylor]: Taking taylor expansion of k in n 6.406 * [taylor]: Taking taylor expansion of 1.0 in n 6.406 * [taylor]: Taking taylor expansion of (log (/ -1 n)) in n 6.406 * [taylor]: Taking taylor expansion of (/ -1 n) in n 6.406 * [taylor]: Taking taylor expansion of -1 in n 6.406 * [taylor]: Taking taylor expansion of n in n 6.408 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)))) in n 6.408 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0))) in n 6.408 * [taylor]: Taking taylor expansion of 0.5 in n 6.408 * [taylor]: Taking taylor expansion of (* (log (* 2.0 PI)) (+ (/ 1 k) 1.0)) in n 6.408 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in n 6.408 * [taylor]: Taking taylor expansion of (* 2.0 PI) in n 6.408 * [taylor]: Taking taylor expansion of 2.0 in n 6.408 * [taylor]: Taking taylor expansion of PI in n 6.409 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 6.409 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.409 * [taylor]: Taking taylor expansion of k in n 6.409 * [taylor]: Taking taylor expansion of 1.0 in n 6.420 * * * [progress]: simplifying candidates 6.423 * [simplify]: Simplifying using # : (expm1 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (log1p (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0)) (pow (* 2.0 PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2)) (expm1 (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (expm1 (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (log1p (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 PI)) (/ (- 1.0 k) 2.0))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (log n) (/ (- 1.0 k) 2.0))) (+ (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (log (pow n (/ (- 1.0 k) 2.0)))) (log (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (exp (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))) (* (* (pow n (/ (- 1.0 k) 2.0)) (pow 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1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (pow (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) 3) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (sqrt (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ k 2.0)) (pow n (/ k 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (sqrt k) (pow n (/ k 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (* (cbrt n) (cbrt n)) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow (sqrt n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow n (/ (- 1.0 k) 2.0))) (cbrt (pow n (/ (- 1.0 k) 2.0))))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (sqrt (pow n (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ 1.0 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (- 1.0 k) 2.0))) (* (* 1.0 (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0))) (fma (* 0.125 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5) (- (pow (* 2.0 PI) 0.5) (* 0.5 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (+ (- (* +nan.0 (* (pow k 2) (pow (* (pow 2.0 1.0) (pow PI 1.0)) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* k (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5))) (fma +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)) (- (* +nan.0 (pow (* (pow PI 1.0) (pow 2.0 1.0)) 0.5)))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 3)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) k) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))) (pow k 2))))) (+ (- (* +nan.0 k)) (fma +nan.0 (pow k 2) (- +nan.0))) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (+ (- (* +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)) (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 k 2) (log (* 2.0 PI))) (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)) (fma +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 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) k) (/ (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n))))))) (pow k 2))) (/ (- (* +nan.0 (exp (+ (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))) (* -0.5 (* (- 1.0 k) (log (/ 1 n)))))))) (pow k 3))) (+ (* +nan.0 (- (/ (* (exp (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n)))))) (exp (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))) k) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI)))))))) (/ (* (- +nan.0) (exp (+ (* 0.5 (* (- 1.0 k) (- (log -1) (log (/ -1 n))))) (* 0.5 (* (- 1.0 k) (log (* 2.0 PI))))))) (pow k 2))) 6.553 * * * [progress]: adding candidates to table 7.042 * [progress]: [Phase 3 of 3] Extracting. 7.042 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 7.047 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 7.048 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 7.098 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 7.155 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 7.206 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 7.256 * * * [regime]: Found split indices: #