16.944 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.148 * * * [progress]: [2/2] Setting up program. 0.150 * [progress]: [Phase 2 of 3] Improving. 0.151 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.153 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.155 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.156 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.159 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.165 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.188 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.189 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.189 * * [progress]: iteration 1 / 4 0.189 * * * [progress]: picking best candidate 0.191 * * * * [pick]: Picked # 0.191 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.209 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 0.214 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.226 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.245 * * * [progress]: generating series expansions 0.245 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.245 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.245 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.245 * [taylor]: Taking taylor expansion of 1.0 in k 0.245 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.245 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.245 * [taylor]: Taking taylor expansion of k in k 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.247 * [taylor]: Taking taylor expansion of 1.0 in k 0.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.247 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.247 * [taylor]: Taking taylor expansion of k in k 0.260 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.260 * [taylor]: Taking taylor expansion of 1.0 in k 0.260 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.260 * [taylor]: Taking taylor expansion of k in k 0.261 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.261 * [taylor]: Taking taylor expansion of 1.0 in k 0.261 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.261 * [taylor]: Taking taylor expansion of k in k 0.272 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.272 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.272 * [taylor]: Taking taylor expansion of 1.0 in k 0.272 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.272 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.272 * [taylor]: Taking taylor expansion of -1 in k 0.272 * [taylor]: Taking taylor expansion of k in k 0.273 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.273 * [taylor]: Taking taylor expansion of 1.0 in k 0.273 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.273 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.273 * [taylor]: Taking taylor expansion of -1 in k 0.273 * [taylor]: Taking taylor expansion of k in k 0.285 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 0.286 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.286 * [taylor]: Taking taylor expansion of 2.0 in n 0.286 * [taylor]: Taking taylor expansion of (* n PI) in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of PI in n 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.286 * [taylor]: Taking taylor expansion of 2.0 in n 0.286 * [taylor]: Taking taylor expansion of (* n PI) in n 0.286 * [taylor]: Taking taylor expansion of n in n 0.286 * [taylor]: Taking taylor expansion of PI in n 0.298 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.299 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.299 * [taylor]: Taking taylor expansion of 2.0 in n 0.299 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.299 * [taylor]: Taking taylor expansion of PI in n 0.299 * [taylor]: Taking taylor expansion of n in n 0.308 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.308 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.308 * [taylor]: Taking taylor expansion of -2.0 in n 0.308 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.308 * [taylor]: Taking taylor expansion of PI in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.308 * [taylor]: Taking taylor expansion of -2.0 in n 0.308 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.308 * [taylor]: Taking taylor expansion of PI in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.317 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.318 * [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 0.318 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.318 * [taylor]: Taking taylor expansion of 1.0 in n 0.318 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.318 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.318 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.318 * [taylor]: Taking taylor expansion of k in n 0.318 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.318 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.318 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.318 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.318 * [taylor]: Taking taylor expansion of 0.5 in n 0.318 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.318 * [taylor]: Taking taylor expansion of 1.0 in n 0.318 * [taylor]: Taking taylor expansion of k in n 0.318 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.318 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.318 * [taylor]: Taking taylor expansion of 2.0 in n 0.318 * [taylor]: Taking taylor expansion of (* n PI) in n 0.318 * [taylor]: Taking taylor expansion of n in n 0.318 * [taylor]: Taking taylor expansion of PI in n 0.324 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.324 * [taylor]: Taking taylor expansion of 1.0 in k 0.324 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.324 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.324 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.324 * [taylor]: Taking taylor expansion of k in k 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.325 * [taylor]: Taking taylor expansion of 0.5 in k 0.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.325 * [taylor]: Taking taylor expansion of 1.0 in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.325 * [taylor]: Taking taylor expansion of 2.0 in k 0.325 * [taylor]: Taking taylor expansion of (* n PI) in k 0.325 * [taylor]: Taking taylor expansion of n in k 0.325 * [taylor]: Taking taylor expansion of PI in k 0.332 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.332 * [taylor]: Taking taylor expansion of 1.0 in k 0.332 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.332 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.332 * [taylor]: Taking taylor expansion of k in k 0.334 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.334 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.334 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.334 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.334 * [taylor]: Taking taylor expansion of 0.5 in k 0.334 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.334 * [taylor]: Taking taylor expansion of 1.0 in k 0.334 * [taylor]: Taking taylor expansion of k in k 0.334 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.334 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.334 * [taylor]: Taking taylor expansion of 2.0 in k 0.334 * [taylor]: Taking taylor expansion of (* n PI) in k 0.334 * [taylor]: Taking taylor expansion of n in k 0.334 * [taylor]: Taking taylor expansion of PI in k 0.336 * [taylor]: Taking taylor expansion of 0 in n 0.341 * [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 0.341 * [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 0.341 * [taylor]: Taking taylor expansion of +nan.0 in n 0.341 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.341 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.341 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.341 * [taylor]: Taking taylor expansion of 0.5 in n 0.341 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.341 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.341 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.341 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.341 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.341 * [taylor]: Taking taylor expansion of 1.0 in n 0.341 * [taylor]: Taking taylor expansion of (log PI) in n 0.342 * [taylor]: Taking taylor expansion of PI in n 0.343 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.343 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.343 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.343 * [taylor]: Taking taylor expansion of 1.0 in n 0.343 * [taylor]: Taking taylor expansion of (log n) in n 0.343 * [taylor]: Taking taylor expansion of n in n 0.344 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.344 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.344 * [taylor]: Taking taylor expansion of 1.0 in n 0.344 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.344 * [taylor]: Taking taylor expansion of 2.0 in n 0.363 * [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 0.363 * [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 0.363 * [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 0.363 * [taylor]: Taking taylor expansion of +nan.0 in n 0.363 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.363 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.363 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.363 * [taylor]: Taking taylor expansion of 0.5 in n 0.363 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.363 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.363 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.363 * [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 0.365 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.365 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.365 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.365 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.365 * [taylor]: Taking taylor expansion of 1.0 in n 0.365 * [taylor]: Taking taylor expansion of (log n) in n 0.366 * [taylor]: Taking taylor expansion of n in n 0.366 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.366 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.366 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.366 * [taylor]: Taking taylor expansion of 1.0 in n 0.366 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.366 * [taylor]: Taking taylor expansion of 2.0 in n 0.371 * [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 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of +nan.0 in n 0.372 * [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 0.372 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.372 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.372 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.372 * [taylor]: Taking taylor expansion of 0.5 in n 0.372 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.372 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.372 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.372 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.372 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.372 * [taylor]: Taking taylor expansion of 1.0 in n 0.372 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.372 * [taylor]: Taking taylor expansion of 2.0 in n 0.373 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.373 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.373 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.374 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.374 * [taylor]: Taking taylor expansion of 1.0 in n 0.374 * [taylor]: Taking taylor expansion of (log PI) in n 0.374 * [taylor]: Taking taylor expansion of PI in n 0.375 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.375 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.375 * [taylor]: Taking taylor expansion of 1.0 in n 0.375 * [taylor]: Taking taylor expansion of (log n) in n 0.376 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.380 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.380 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (* n PI) in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.380 * [taylor]: Taking taylor expansion of PI in n 0.435 * [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 0.435 * [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 0.435 * [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 0.435 * [taylor]: Taking taylor expansion of +nan.0 in n 0.435 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.435 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.435 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.435 * [taylor]: Taking taylor expansion of 0.5 in n 0.435 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.436 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.436 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.436 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.436 * [taylor]: Taking taylor expansion of 1.0 in n 0.436 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.436 * [taylor]: Taking taylor expansion of 2.0 in n 0.437 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) 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 0.438 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.438 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.438 * [taylor]: Taking taylor expansion of 1.0 in n 0.438 * [taylor]: Taking taylor expansion of (log PI) in n 0.438 * [taylor]: Taking taylor expansion of PI in n 0.444 * [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 0.444 * [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 0.444 * [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 0.444 * [taylor]: Taking taylor expansion of +nan.0 in n 0.444 * [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 0.444 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.444 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.444 * [taylor]: Taking taylor expansion of 0.5 in n 0.444 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.444 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.444 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.444 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.444 * [taylor]: Taking taylor expansion of 1.0 in n 0.444 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.444 * [taylor]: Taking taylor expansion of 2.0 in n 0.446 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.446 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.446 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.446 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.446 * [taylor]: Taking taylor expansion of 1.0 in n 0.446 * [taylor]: Taking taylor expansion of (log PI) in n 0.446 * [taylor]: Taking taylor expansion of PI in n 0.448 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.448 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.448 * [taylor]: Taking taylor expansion of 1.0 in n 0.448 * [taylor]: Taking taylor expansion of (log n) in n 0.448 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.452 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.452 * [taylor]: Taking taylor expansion of 2.0 in n 0.452 * [taylor]: Taking taylor expansion of (* n PI) in n 0.452 * [taylor]: Taking taylor expansion of n in n 0.452 * [taylor]: Taking taylor expansion of PI in n 0.455 * [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 0.455 * [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 0.455 * [taylor]: Taking taylor expansion of +nan.0 in n 0.455 * [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 0.455 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.455 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.455 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.455 * [taylor]: Taking taylor expansion of 0.5 in n 0.455 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.455 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.455 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.455 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.455 * [taylor]: Taking taylor expansion of 1.0 in n 0.455 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.455 * [taylor]: Taking taylor expansion of 2.0 in n 0.457 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.457 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.457 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.457 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.457 * [taylor]: Taking taylor expansion of 1.0 in n 0.457 * [taylor]: Taking taylor expansion of (log PI) in n 0.458 * [taylor]: Taking taylor expansion of PI in n 0.459 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.459 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.459 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.459 * [taylor]: Taking taylor expansion of 1.0 in n 0.459 * [taylor]: Taking taylor expansion of (log n) in n 0.459 * [taylor]: Taking taylor expansion of n in n 0.464 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.464 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.464 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.464 * [taylor]: Taking taylor expansion of 2.0 in n 0.464 * [taylor]: Taking taylor expansion of (* n PI) in n 0.464 * [taylor]: Taking taylor expansion of n in n 0.464 * [taylor]: Taking taylor expansion of PI in n 0.544 * [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 0.544 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.545 * [taylor]: Taking taylor expansion of 1.0 in n 0.545 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.545 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.545 * [taylor]: Taking taylor expansion of k in n 0.545 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.545 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.545 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.545 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.545 * [taylor]: Taking taylor expansion of 0.5 in n 0.545 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.545 * [taylor]: Taking taylor expansion of 1.0 in n 0.545 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.545 * [taylor]: Taking taylor expansion of k in n 0.545 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.545 * [taylor]: Taking taylor expansion of 2.0 in n 0.545 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.545 * [taylor]: Taking taylor expansion of PI in n 0.545 * [taylor]: Taking taylor expansion of n in n 0.549 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.549 * [taylor]: Taking taylor expansion of 1.0 in k 0.549 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.549 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.549 * [taylor]: Taking taylor expansion of k in k 0.550 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.550 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.550 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.550 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.550 * [taylor]: Taking taylor expansion of 0.5 in k 0.550 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.550 * [taylor]: Taking taylor expansion of 1.0 in k 0.550 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.550 * [taylor]: Taking taylor expansion of k in k 0.550 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.550 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.551 * [taylor]: Taking taylor expansion of 2.0 in k 0.551 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.551 * [taylor]: Taking taylor expansion of PI in k 0.551 * [taylor]: Taking taylor expansion of n in k 0.552 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.552 * [taylor]: Taking taylor expansion of 1.0 in k 0.552 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.552 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.552 * [taylor]: Taking taylor expansion of k in k 0.553 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.553 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.553 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.553 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.553 * [taylor]: Taking taylor expansion of 0.5 in k 0.553 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.553 * [taylor]: Taking taylor expansion of 1.0 in k 0.553 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.553 * [taylor]: Taking taylor expansion of k in k 0.553 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.553 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.553 * [taylor]: Taking taylor expansion of 2.0 in k 0.553 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.553 * [taylor]: Taking taylor expansion of PI in k 0.553 * [taylor]: Taking taylor expansion of n in k 0.555 * [taylor]: Taking taylor expansion of 0 in n 0.556 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.556 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.556 * [taylor]: Taking taylor expansion of +nan.0 in n 0.556 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.556 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.556 * [taylor]: Taking taylor expansion of 0.5 in n 0.556 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.556 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.556 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.556 * [taylor]: Taking taylor expansion of 2.0 in n 0.556 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.556 * [taylor]: Taking taylor expansion of PI in n 0.556 * [taylor]: Taking taylor expansion of n in n 0.557 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.557 * [taylor]: Taking taylor expansion of 1.0 in n 0.557 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.557 * [taylor]: Taking taylor expansion of k in n 0.566 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.566 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.566 * [taylor]: Taking taylor expansion of +nan.0 in n 0.566 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.566 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.566 * [taylor]: Taking taylor expansion of 0.5 in n 0.566 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.566 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.566 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.566 * [taylor]: Taking taylor expansion of 2.0 in n 0.566 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.566 * [taylor]: Taking taylor expansion of PI in n 0.566 * [taylor]: Taking taylor expansion of n in n 0.568 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.568 * [taylor]: Taking taylor expansion of 1.0 in n 0.568 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.568 * [taylor]: Taking taylor expansion of k in n 0.585 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.585 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.585 * [taylor]: Taking taylor expansion of +nan.0 in n 0.585 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.585 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.585 * [taylor]: Taking taylor expansion of 0.5 in n 0.585 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.585 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.585 * [taylor]: Taking taylor expansion of 2.0 in n 0.585 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.585 * [taylor]: Taking taylor expansion of PI in n 0.585 * [taylor]: Taking taylor expansion of n in n 0.586 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.586 * [taylor]: Taking taylor expansion of 1.0 in n 0.586 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.586 * [taylor]: Taking taylor expansion of k in n 0.596 * [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 0.596 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.596 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.596 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.596 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.596 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.596 * [taylor]: Taking taylor expansion of 0.5 in n 0.596 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.596 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.596 * [taylor]: Taking taylor expansion of k in n 0.596 * [taylor]: Taking taylor expansion of 1.0 in n 0.596 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.596 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.596 * [taylor]: Taking taylor expansion of -2.0 in n 0.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.596 * [taylor]: Taking taylor expansion of PI in n 0.596 * [taylor]: Taking taylor expansion of n in n 0.600 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.600 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.600 * [taylor]: Taking taylor expansion of -1 in n 0.600 * [taylor]: Taking taylor expansion of k in n 0.601 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.601 * [taylor]: Taking taylor expansion of 1.0 in k 0.601 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.601 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.601 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.601 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.601 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.601 * [taylor]: Taking taylor expansion of 0.5 in k 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.601 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.601 * [taylor]: Taking taylor expansion of k in k 0.601 * [taylor]: Taking taylor expansion of 1.0 in k 0.601 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.601 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.601 * [taylor]: Taking taylor expansion of -2.0 in k 0.601 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.601 * [taylor]: Taking taylor expansion of PI in k 0.601 * [taylor]: Taking taylor expansion of n in k 0.602 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.602 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.602 * [taylor]: Taking taylor expansion of -1 in k 0.602 * [taylor]: Taking taylor expansion of k in k 0.609 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.609 * [taylor]: Taking taylor expansion of 1.0 in k 0.609 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.609 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.609 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.609 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.609 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.609 * [taylor]: Taking taylor expansion of 0.5 in k 0.609 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.609 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.609 * [taylor]: Taking taylor expansion of k in k 0.610 * [taylor]: Taking taylor expansion of 1.0 in k 0.610 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.610 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.610 * [taylor]: Taking taylor expansion of -2.0 in k 0.610 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.610 * [taylor]: Taking taylor expansion of PI in k 0.610 * [taylor]: Taking taylor expansion of n in k 0.611 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.611 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.611 * [taylor]: Taking taylor expansion of -1 in k 0.611 * [taylor]: Taking taylor expansion of k in k 0.612 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.612 * [taylor]: Taking taylor expansion of +nan.0 in n 0.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.612 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.612 * [taylor]: Taking taylor expansion of 0.5 in n 0.612 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.612 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.612 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.612 * [taylor]: Taking taylor expansion of k in n 0.612 * [taylor]: Taking taylor expansion of 1.0 in n 0.612 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.612 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.612 * [taylor]: Taking taylor expansion of -2.0 in n 0.612 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.613 * [taylor]: Taking taylor expansion of PI in n 0.613 * [taylor]: Taking taylor expansion of n in n 0.622 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.622 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.622 * [taylor]: Taking taylor expansion of +nan.0 in n 0.622 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.622 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.622 * [taylor]: Taking taylor expansion of 0.5 in n 0.622 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.622 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.622 * [taylor]: Taking taylor expansion of k in n 0.622 * [taylor]: Taking taylor expansion of 1.0 in n 0.622 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.622 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.622 * [taylor]: Taking taylor expansion of -2.0 in n 0.622 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.622 * [taylor]: Taking taylor expansion of PI in n 0.622 * [taylor]: Taking taylor expansion of n in n 0.640 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.640 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.640 * [taylor]: Taking taylor expansion of +nan.0 in n 0.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.640 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.640 * [taylor]: Taking taylor expansion of 0.5 in n 0.640 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.640 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.640 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.640 * [taylor]: Taking taylor expansion of k in n 0.640 * [taylor]: Taking taylor expansion of 1.0 in n 0.641 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.641 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.641 * [taylor]: Taking taylor expansion of -2.0 in n 0.641 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.641 * [taylor]: Taking taylor expansion of PI in n 0.641 * [taylor]: Taking taylor expansion of n in n 0.650 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.651 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.651 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.651 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.651 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.651 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.651 * [taylor]: Taking taylor expansion of 0.5 in k 0.651 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.651 * [taylor]: Taking taylor expansion of 1.0 in k 0.651 * [taylor]: Taking taylor expansion of k in k 0.651 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.651 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.651 * [taylor]: Taking taylor expansion of 2.0 in k 0.651 * [taylor]: Taking taylor expansion of (* n PI) in k 0.651 * [taylor]: Taking taylor expansion of n in k 0.651 * [taylor]: Taking taylor expansion of PI in k 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 (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.658 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.658 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.658 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.658 * [taylor]: Taking taylor expansion of 0.5 in n 0.658 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.658 * [taylor]: Taking taylor expansion of 1.0 in n 0.658 * [taylor]: Taking taylor expansion of k in n 0.658 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.659 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.659 * [taylor]: Taking taylor expansion of 2.0 in n 0.659 * [taylor]: Taking taylor expansion of (* n PI) in n 0.659 * [taylor]: Taking taylor expansion of n in n 0.659 * [taylor]: Taking taylor expansion of PI in n 0.664 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.664 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.664 * [taylor]: Taking taylor expansion of 0.5 in k 0.664 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.664 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.664 * [taylor]: Taking taylor expansion of 1.0 in k 0.664 * [taylor]: Taking taylor expansion of k in k 0.664 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.664 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.664 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.664 * [taylor]: Taking taylor expansion of 2.0 in k 0.664 * [taylor]: Taking taylor expansion of PI in k 0.665 * [taylor]: Taking taylor expansion of (log n) in k 0.665 * [taylor]: Taking taylor expansion of n in k 0.674 * [taylor]: Taking taylor expansion of 0 in k 0.690 * [taylor]: Taking taylor expansion of 0 in k 0.715 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.715 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.715 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.715 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.715 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.715 * [taylor]: Taking taylor expansion of 0.5 in k 0.715 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.715 * [taylor]: Taking taylor expansion of 1.0 in k 0.715 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.715 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.716 * [taylor]: Taking taylor expansion of 2.0 in k 0.716 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.716 * [taylor]: Taking taylor expansion of PI in k 0.716 * [taylor]: Taking taylor expansion of n in k 0.717 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.717 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.717 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.717 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.717 * [taylor]: Taking taylor expansion of 0.5 in n 0.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.717 * [taylor]: Taking taylor expansion of 1.0 in n 0.717 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.717 * [taylor]: Taking taylor expansion of k in n 0.717 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.717 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.717 * [taylor]: Taking taylor expansion of 2.0 in n 0.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.717 * [taylor]: Taking taylor expansion of PI in n 0.717 * [taylor]: Taking taylor expansion of n in n 0.721 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.721 * [taylor]: Taking taylor expansion of 0.5 in n 0.721 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.721 * [taylor]: Taking taylor expansion of k in n 0.721 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.721 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.721 * [taylor]: Taking taylor expansion of 2.0 in n 0.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.721 * [taylor]: Taking taylor expansion of PI in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.725 * [taylor]: Taking taylor expansion of 0.5 in k 0.725 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.725 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.725 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.725 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.725 * [taylor]: Taking taylor expansion of 2.0 in k 0.725 * [taylor]: Taking taylor expansion of PI in k 0.726 * [taylor]: Taking taylor expansion of (log n) in k 0.726 * [taylor]: Taking taylor expansion of n in k 0.726 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.726 * [taylor]: Taking taylor expansion of 1.0 in k 0.726 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.726 * [taylor]: Taking taylor expansion of k in k 0.736 * [taylor]: Taking taylor expansion of 0 in k 0.744 * [taylor]: Taking taylor expansion of 0 in k 0.753 * [taylor]: Taking taylor expansion of 0 in k 0.754 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.754 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.754 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.754 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.754 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.754 * [taylor]: Taking taylor expansion of 0.5 in k 0.754 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.754 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.754 * [taylor]: Taking taylor expansion of k in k 0.755 * [taylor]: Taking taylor expansion of 1.0 in k 0.755 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.755 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.755 * [taylor]: Taking taylor expansion of -2.0 in k 0.755 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.755 * [taylor]: Taking taylor expansion of PI in k 0.755 * [taylor]: Taking taylor expansion of n in k 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 (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.760 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.760 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.760 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.760 * [taylor]: Taking taylor expansion of 0.5 in n 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.760 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.760 * [taylor]: Taking taylor expansion of k in n 0.760 * [taylor]: Taking taylor expansion of 1.0 in n 0.760 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.760 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.760 * [taylor]: Taking taylor expansion of -2.0 in n 0.760 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.760 * [taylor]: Taking taylor expansion of PI in n 0.760 * [taylor]: Taking taylor expansion of n in n 0.764 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.764 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.764 * [taylor]: Taking taylor expansion of 0.5 in k 0.764 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.764 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.764 * [taylor]: Taking taylor expansion of k in k 0.764 * [taylor]: Taking taylor expansion of 1.0 in k 0.764 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.764 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.764 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.764 * [taylor]: Taking taylor expansion of -2.0 in k 0.764 * [taylor]: Taking taylor expansion of PI in k 0.765 * [taylor]: Taking taylor expansion of (log n) in k 0.765 * [taylor]: Taking taylor expansion of n in k 0.774 * [taylor]: Taking taylor expansion of 0 in k 0.781 * [taylor]: Taking taylor expansion of 0 in k 0.796 * [taylor]: Taking taylor expansion of 0 in k 0.797 * * * [progress]: simplifying candidates 0.799 * [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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log1p (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 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2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (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)) (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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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)))))) 0.896 * * * [progress]: adding candidates to table 1.337 * * [progress]: iteration 2 / 4 1.337 * * * [progress]: picking best candidate 1.363 * * * * [pick]: Picked # 1.363 * * * [progress]: localizing error 1.381 * * * [progress]: generating rewritten candidates 1.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 1.386 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.391 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.401 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.417 * * * [progress]: generating series expansions 1.417 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 1.418 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.418 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.418 * [taylor]: Taking taylor expansion of 2.0 in n 1.418 * [taylor]: Taking taylor expansion of (* n PI) in n 1.418 * [taylor]: Taking taylor expansion of n in n 1.418 * [taylor]: Taking taylor expansion of PI in n 1.418 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.418 * [taylor]: Taking taylor expansion of 2.0 in n 1.418 * [taylor]: Taking taylor expansion of (* n PI) in n 1.418 * [taylor]: Taking taylor expansion of n in n 1.418 * [taylor]: Taking taylor expansion of PI in n 1.431 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.431 * [taylor]: Taking taylor expansion of 2.0 in n 1.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.431 * [taylor]: Taking taylor expansion of PI in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.431 * [taylor]: Taking taylor expansion of 2.0 in n 1.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.431 * [taylor]: Taking taylor expansion of PI in n 1.431 * [taylor]: Taking taylor expansion of n in n 1.440 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.440 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.440 * [taylor]: Taking taylor expansion of -2.0 in n 1.440 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.440 * [taylor]: Taking taylor expansion of PI in n 1.440 * [taylor]: Taking taylor expansion of n in n 1.441 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.441 * [taylor]: Taking taylor expansion of -2.0 in n 1.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.441 * [taylor]: Taking taylor expansion of PI in n 1.441 * [taylor]: Taking taylor expansion of n in n 1.450 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.450 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.450 * [taylor]: Taking taylor expansion of 2.0 in n 1.450 * [taylor]: Taking taylor expansion of (* n PI) in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.450 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.450 * [taylor]: Taking taylor expansion of 2.0 in n 1.450 * [taylor]: Taking taylor expansion of (* n PI) in n 1.450 * [taylor]: Taking taylor expansion of n in n 1.450 * [taylor]: Taking taylor expansion of PI in n 1.462 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.463 * [taylor]: Taking taylor expansion of 2.0 in n 1.463 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.463 * [taylor]: Taking taylor expansion of PI in n 1.463 * [taylor]: Taking taylor expansion of n in n 1.463 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.463 * [taylor]: Taking taylor expansion of 2.0 in n 1.463 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.463 * [taylor]: Taking taylor expansion of PI in n 1.463 * [taylor]: Taking taylor expansion of n in n 1.472 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.472 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.472 * [taylor]: Taking taylor expansion of -2.0 in n 1.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.472 * [taylor]: Taking taylor expansion of PI in n 1.472 * [taylor]: Taking taylor expansion of n in n 1.472 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.472 * [taylor]: Taking taylor expansion of -2.0 in n 1.472 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.472 * [taylor]: Taking taylor expansion of PI in n 1.472 * [taylor]: Taking taylor expansion of n in n 1.481 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.482 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (n k) around 0 1.482 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 1.482 * [taylor]: Taking taylor expansion of 1.0 in k 1.482 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 1.482 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.482 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.482 * [taylor]: Taking taylor expansion of k in k 1.484 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 1.484 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.484 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.484 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.484 * [taylor]: Taking taylor expansion of 0.5 in k 1.484 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.484 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.484 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.484 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.484 * [taylor]: Taking taylor expansion of 1.0 in k 1.484 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.484 * [taylor]: Taking taylor expansion of 2.0 in k 1.486 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.486 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.486 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.486 * [taylor]: Taking taylor expansion of 1.0 in k 1.486 * [taylor]: Taking taylor expansion of (log n) in k 1.486 * [taylor]: Taking taylor expansion of n in k 1.486 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.486 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.486 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.486 * [taylor]: Taking taylor expansion of 1.0 in k 1.486 * [taylor]: Taking taylor expansion of (log PI) in k 1.486 * [taylor]: Taking taylor expansion of PI in k 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.498 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.498 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.498 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.498 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.498 * [taylor]: Taking taylor expansion of 0.5 in k 1.498 * [taylor]: Taking taylor expansion of k in k 1.498 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.498 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.498 * [taylor]: Taking taylor expansion of 2.0 in k 1.498 * [taylor]: Taking taylor expansion of (* n PI) in k 1.498 * [taylor]: Taking taylor expansion of n in k 1.498 * [taylor]: Taking taylor expansion of PI in k 1.501 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.501 * [taylor]: Taking taylor expansion of 1.0 in n 1.501 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.501 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.501 * [taylor]: Taking taylor expansion of k in n 1.501 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.501 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.501 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.502 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.502 * [taylor]: Taking taylor expansion of 0.5 in n 1.502 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.502 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.502 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.502 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.502 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.502 * [taylor]: Taking taylor expansion of 1.0 in n 1.502 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.502 * [taylor]: Taking taylor expansion of 2.0 in n 1.503 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.503 * [taylor]: Taking taylor expansion of 1.0 in n 1.504 * [taylor]: Taking taylor expansion of (log n) in n 1.504 * [taylor]: Taking taylor expansion of n in n 1.504 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.504 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.504 * [taylor]: Taking taylor expansion of 1.0 in n 1.504 * [taylor]: Taking taylor expansion of (log PI) in n 1.504 * [taylor]: Taking taylor expansion of PI in n 1.510 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.510 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.510 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.510 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.510 * [taylor]: Taking taylor expansion of 0.5 in n 1.510 * [taylor]: Taking taylor expansion of k in n 1.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.510 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.510 * [taylor]: Taking taylor expansion of 2.0 in n 1.510 * [taylor]: Taking taylor expansion of (* n PI) in n 1.510 * [taylor]: Taking taylor expansion of n in n 1.510 * [taylor]: Taking taylor expansion of PI in n 1.516 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 1.516 * [taylor]: Taking taylor expansion of 1.0 in n 1.516 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 1.516 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.516 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.516 * [taylor]: Taking taylor expansion of k in n 1.516 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 1.516 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.516 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.516 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.516 * [taylor]: Taking taylor expansion of 0.5 in n 1.516 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.516 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.516 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.516 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.516 * [taylor]: Taking taylor expansion of 1.0 in n 1.516 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.516 * [taylor]: Taking taylor expansion of 2.0 in n 1.518 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.518 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.518 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.518 * [taylor]: Taking taylor expansion of 1.0 in n 1.518 * [taylor]: Taking taylor expansion of (log n) in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.519 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.519 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.519 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.519 * [taylor]: Taking taylor expansion of 1.0 in n 1.519 * [taylor]: Taking taylor expansion of (log PI) in n 1.519 * [taylor]: Taking taylor expansion of PI in n 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.524 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.524 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.524 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.524 * [taylor]: Taking taylor expansion of 0.5 in n 1.524 * [taylor]: Taking taylor expansion of k in n 1.524 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.524 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.524 * [taylor]: Taking taylor expansion of 2.0 in n 1.524 * [taylor]: Taking taylor expansion of (* n PI) in n 1.524 * [taylor]: Taking taylor expansion of n in n 1.524 * [taylor]: Taking taylor expansion of PI in n 1.535 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 1.535 * [taylor]: Taking taylor expansion of 1.0 in k 1.535 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 1.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.536 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.536 * [taylor]: Taking taylor expansion of k in k 1.537 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 1.537 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.537 * [taylor]: Taking taylor expansion of 0.5 in k 1.537 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.537 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.537 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.537 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.537 * [taylor]: Taking taylor expansion of 1.0 in k 1.537 * [taylor]: Taking taylor expansion of (log PI) in k 1.537 * [taylor]: Taking taylor expansion of PI in k 1.539 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.539 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.539 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.539 * [taylor]: Taking taylor expansion of 1.0 in k 1.539 * [taylor]: Taking taylor expansion of (log n) in k 1.539 * [taylor]: Taking taylor expansion of n in k 1.539 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.539 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.539 * [taylor]: Taking taylor expansion of 1.0 in k 1.539 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.539 * [taylor]: Taking taylor expansion of 2.0 in k 1.545 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.545 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.545 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.545 * [taylor]: Taking taylor expansion of 0.5 in k 1.545 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.545 * [taylor]: Taking taylor expansion of k in k 1.545 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.545 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.545 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.545 * [taylor]: Taking taylor expansion of 2.0 in k 1.545 * [taylor]: Taking taylor expansion of PI in k 1.546 * [taylor]: Taking taylor expansion of (log n) in k 1.546 * [taylor]: Taking taylor expansion of n in k 1.577 * [taylor]: Taking taylor expansion of 0 in k 1.635 * [taylor]: Taking taylor expansion of 0 in k 1.734 * [taylor]: Taking taylor expansion of 0 in k 1.857 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 1.858 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 1.858 * [taylor]: Taking taylor expansion of 1.0 in k 1.858 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 1.858 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.858 * [taylor]: Taking taylor expansion of k in k 1.859 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.859 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.859 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.859 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.859 * [taylor]: Taking taylor expansion of 0.5 in k 1.859 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.859 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.859 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.859 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.859 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.859 * [taylor]: Taking taylor expansion of 1.0 in k 1.859 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.859 * [taylor]: Taking taylor expansion of 2.0 in k 1.861 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.861 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.861 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.861 * [taylor]: Taking taylor expansion of 1.0 in k 1.861 * [taylor]: Taking taylor expansion of (log PI) in k 1.861 * [taylor]: Taking taylor expansion of PI in k 1.863 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.863 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.863 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.863 * [taylor]: Taking taylor expansion of 1.0 in k 1.863 * [taylor]: Taking taylor expansion of (log n) in k 1.863 * [taylor]: Taking taylor expansion of n in k 1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.870 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.870 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.870 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.870 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.870 * [taylor]: Taking taylor expansion of 0.5 in k 1.870 * [taylor]: Taking taylor expansion of k in k 1.870 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.870 * [taylor]: Taking taylor expansion of 2.0 in k 1.870 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.870 * [taylor]: Taking taylor expansion of PI in k 1.870 * [taylor]: Taking taylor expansion of n in k 1.871 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.871 * [taylor]: Taking taylor expansion of 1.0 in n 1.871 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.871 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.871 * [taylor]: Taking taylor expansion of k in n 1.871 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.871 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.871 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.871 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.871 * [taylor]: Taking taylor expansion of 0.5 in n 1.871 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.871 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.871 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.871 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.871 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.871 * [taylor]: Taking taylor expansion of 1.0 in n 1.871 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.871 * [taylor]: Taking taylor expansion of 2.0 in n 1.873 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.873 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.873 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.873 * [taylor]: Taking taylor expansion of 1.0 in n 1.873 * [taylor]: Taking taylor expansion of (log PI) in n 1.873 * [taylor]: Taking taylor expansion of PI in n 1.875 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.875 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.875 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.875 * [taylor]: Taking taylor expansion of 1.0 in n 1.875 * [taylor]: Taking taylor expansion of (log n) in n 1.875 * [taylor]: Taking taylor expansion of n in n 1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.882 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.882 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.882 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.882 * [taylor]: Taking taylor expansion of 0.5 in n 1.882 * [taylor]: Taking taylor expansion of k in n 1.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.882 * [taylor]: Taking taylor expansion of 2.0 in n 1.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.882 * [taylor]: Taking taylor expansion of PI in n 1.882 * [taylor]: Taking taylor expansion of n in n 1.886 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 1.887 * [taylor]: Taking taylor expansion of 1.0 in n 1.887 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 1.887 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.887 * [taylor]: Taking taylor expansion of k in n 1.887 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.887 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.887 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.887 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.887 * [taylor]: Taking taylor expansion of 0.5 in n 1.887 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.887 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.887 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.887 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.887 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.887 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.887 * [taylor]: Taking taylor expansion of 1.0 in n 1.887 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.887 * [taylor]: Taking taylor expansion of 2.0 in n 1.889 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.889 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.889 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.889 * [taylor]: Taking taylor expansion of 1.0 in n 1.889 * [taylor]: Taking taylor expansion of (log PI) in n 1.889 * [taylor]: Taking taylor expansion of PI in n 1.891 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.891 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.891 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.891 * [taylor]: Taking taylor expansion of 1.0 in n 1.891 * [taylor]: Taking taylor expansion of (log n) in n 1.891 * [taylor]: Taking taylor expansion of n in n 1.898 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.898 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.898 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.898 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.898 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.898 * [taylor]: Taking taylor expansion of 0.5 in n 1.898 * [taylor]: Taking taylor expansion of k in n 1.898 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.898 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.898 * [taylor]: Taking taylor expansion of 2.0 in n 1.898 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.898 * [taylor]: Taking taylor expansion of PI in n 1.898 * [taylor]: Taking taylor expansion of n in n 1.908 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 1.908 * [taylor]: Taking taylor expansion of 1.0 in k 1.908 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 1.908 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.908 * [taylor]: Taking taylor expansion of k in k 1.909 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 1.909 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.910 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.910 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.910 * [taylor]: Taking taylor expansion of 0.5 in k 1.910 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.910 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.910 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.910 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.910 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.910 * [taylor]: Taking taylor expansion of 1.0 in k 1.910 * [taylor]: Taking taylor expansion of (log PI) in k 1.910 * [taylor]: Taking taylor expansion of PI in k 1.912 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.912 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.912 * [taylor]: Taking taylor expansion of 1.0 in k 1.912 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.912 * [taylor]: Taking taylor expansion of 2.0 in k 1.913 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.913 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.913 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.913 * [taylor]: Taking taylor expansion of 1.0 in k 1.913 * [taylor]: Taking taylor expansion of (log n) in k 1.913 * [taylor]: Taking taylor expansion of n in k 1.920 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.920 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.920 * [taylor]: Taking taylor expansion of 0.5 in k 1.920 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.920 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.920 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.920 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.920 * [taylor]: Taking taylor expansion of 2.0 in k 1.920 * [taylor]: Taking taylor expansion of PI in k 1.921 * [taylor]: Taking taylor expansion of (log n) in k 1.921 * [taylor]: Taking taylor expansion of n in k 1.921 * [taylor]: Taking taylor expansion of k in k 1.962 * [taylor]: Taking taylor expansion of 0 in k 2.019 * [taylor]: Taking taylor expansion of 0 in k 2.106 * [taylor]: Taking taylor expansion of 0 in k 2.165 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (n k) around 0 2.165 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.165 * [taylor]: Taking taylor expansion of 1.0 in k 2.165 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.165 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.165 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.165 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.165 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.165 * [taylor]: Taking taylor expansion of -1 in k 2.165 * [taylor]: Taking taylor expansion of k in k 2.166 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.166 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.166 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.166 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.166 * [taylor]: Taking taylor expansion of -0.5 in k 2.166 * [taylor]: Taking taylor expansion of k in k 2.167 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.167 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.167 * [taylor]: Taking taylor expansion of -2.0 in k 2.167 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.167 * [taylor]: Taking taylor expansion of PI in k 2.167 * [taylor]: Taking taylor expansion of n in k 2.168 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.168 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.168 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.168 * [taylor]: Taking taylor expansion of 0.5 in k 2.168 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.168 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.168 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.168 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.168 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.168 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.168 * [taylor]: Taking taylor expansion of 1.0 in k 2.168 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.168 * [taylor]: Taking taylor expansion of -2.0 in k 2.170 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.170 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.170 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.170 * [taylor]: Taking taylor expansion of 1.0 in k 2.170 * [taylor]: Taking taylor expansion of (log PI) in k 2.170 * [taylor]: Taking taylor expansion of PI in k 2.172 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.172 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.172 * [taylor]: Taking taylor expansion of 1.0 in k 2.172 * [taylor]: Taking taylor expansion of (log n) in k 2.172 * [taylor]: Taking taylor expansion of n in k 2.178 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.178 * [taylor]: Taking taylor expansion of 1.0 in n 2.178 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.178 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.178 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.178 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.178 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.178 * [taylor]: Taking taylor expansion of -1 in n 2.178 * [taylor]: Taking taylor expansion of k in n 2.179 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.179 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.179 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.179 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.179 * [taylor]: Taking taylor expansion of -0.5 in n 2.179 * [taylor]: Taking taylor expansion of k in n 2.179 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.179 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.179 * [taylor]: Taking taylor expansion of -2.0 in n 2.179 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.179 * [taylor]: Taking taylor expansion of PI in n 2.179 * [taylor]: Taking taylor expansion of n in n 2.184 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.184 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.184 * [taylor]: Taking taylor expansion of 0.5 in n 2.184 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.184 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.184 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.184 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.184 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.184 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.184 * [taylor]: Taking taylor expansion of 1.0 in n 2.184 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.184 * [taylor]: Taking taylor expansion of -2.0 in n 2.186 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.186 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.186 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.186 * [taylor]: Taking taylor expansion of 1.0 in n 2.186 * [taylor]: Taking taylor expansion of (log PI) in n 2.186 * [taylor]: Taking taylor expansion of PI in n 2.188 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.188 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.188 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.188 * [taylor]: Taking taylor expansion of 1.0 in n 2.188 * [taylor]: Taking taylor expansion of (log n) in n 2.188 * [taylor]: Taking taylor expansion of n in n 2.195 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 2.195 * [taylor]: Taking taylor expansion of 1.0 in n 2.195 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 2.195 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.195 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.195 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.195 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.195 * [taylor]: Taking taylor expansion of -1 in n 2.195 * [taylor]: Taking taylor expansion of k in n 2.195 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.195 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.195 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.195 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.195 * [taylor]: Taking taylor expansion of -0.5 in n 2.195 * [taylor]: Taking taylor expansion of k in n 2.195 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.195 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.195 * [taylor]: Taking taylor expansion of -2.0 in n 2.195 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.195 * [taylor]: Taking taylor expansion of PI in n 2.195 * [taylor]: Taking taylor expansion of n in n 2.206 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.206 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.206 * [taylor]: Taking taylor expansion of 0.5 in n 2.206 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.206 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.206 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.206 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.206 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.207 * [taylor]: Taking taylor expansion of 1.0 in n 2.207 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.207 * [taylor]: Taking taylor expansion of -2.0 in n 2.208 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.208 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.208 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.208 * [taylor]: Taking taylor expansion of 1.0 in n 2.208 * [taylor]: Taking taylor expansion of (log PI) in n 2.208 * [taylor]: Taking taylor expansion of PI in n 2.210 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.210 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.210 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.210 * [taylor]: Taking taylor expansion of 1.0 in n 2.210 * [taylor]: Taking taylor expansion of (log n) in n 2.210 * [taylor]: Taking taylor expansion of n in n 2.222 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 2.222 * [taylor]: Taking taylor expansion of 1.0 in k 2.222 * [taylor]: Taking taylor expansion of (* (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 2.222 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.222 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.222 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.222 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.222 * [taylor]: Taking taylor expansion of -0.5 in k 2.222 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.222 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.222 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.222 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.222 * [taylor]: Taking taylor expansion of -2.0 in k 2.222 * [taylor]: Taking taylor expansion of PI in k 2.223 * [taylor]: Taking taylor expansion of (log n) in k 2.223 * [taylor]: Taking taylor expansion of n in k 2.223 * [taylor]: Taking taylor expansion of k in k 2.226 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.226 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.226 * [taylor]: Taking taylor expansion of -1 in k 2.226 * [taylor]: Taking taylor expansion of k in k 2.230 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.230 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.230 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.230 * [taylor]: Taking taylor expansion of 0.5 in k 2.230 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.230 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.230 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.230 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.230 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.230 * [taylor]: Taking taylor expansion of 1.0 in k 2.230 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.230 * [taylor]: Taking taylor expansion of -2.0 in k 2.232 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.232 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.232 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.232 * [taylor]: Taking taylor expansion of 1.0 in k 2.232 * [taylor]: Taking taylor expansion of (log PI) in k 2.232 * [taylor]: Taking taylor expansion of PI in k 2.234 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.234 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.234 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.234 * [taylor]: Taking taylor expansion of 1.0 in k 2.234 * [taylor]: Taking taylor expansion of (log n) in k 2.234 * [taylor]: Taking taylor expansion of n in k 2.272 * [taylor]: Taking taylor expansion of 0 in k 2.339 * [taylor]: Taking taylor expansion of 0 in k 2.521 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.522 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.522 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.522 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.522 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.522 * [taylor]: Taking taylor expansion of 0.5 in n 2.522 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.522 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.522 * [taylor]: Taking taylor expansion of 2.0 in n 2.522 * [taylor]: Taking taylor expansion of (* n PI) in n 2.522 * [taylor]: Taking taylor expansion of n in n 2.522 * [taylor]: Taking taylor expansion of PI in n 2.528 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.528 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.528 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.528 * [taylor]: Taking taylor expansion of 0.5 in n 2.528 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.528 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.528 * [taylor]: Taking taylor expansion of 2.0 in n 2.528 * [taylor]: Taking taylor expansion of (* n PI) in n 2.528 * [taylor]: Taking taylor expansion of n in n 2.528 * [taylor]: Taking taylor expansion of PI in n 2.610 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.610 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.610 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.610 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.610 * [taylor]: Taking taylor expansion of 0.5 in n 2.610 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.610 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.610 * [taylor]: Taking taylor expansion of 2.0 in n 2.610 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.610 * [taylor]: Taking taylor expansion of PI in n 2.610 * [taylor]: Taking taylor expansion of n in n 2.613 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.613 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.613 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.613 * [taylor]: Taking taylor expansion of 0.5 in n 2.613 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.614 * [taylor]: Taking taylor expansion of 2.0 in n 2.614 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.614 * [taylor]: Taking taylor expansion of PI in n 2.614 * [taylor]: Taking taylor expansion of n in n 2.691 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.691 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.691 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.691 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.691 * [taylor]: Taking taylor expansion of 0.5 in n 2.691 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.691 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.691 * [taylor]: Taking taylor expansion of -2.0 in n 2.691 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.691 * [taylor]: Taking taylor expansion of PI in n 2.691 * [taylor]: Taking taylor expansion of n in n 2.695 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.695 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.695 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.695 * [taylor]: Taking taylor expansion of 0.5 in n 2.695 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.695 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.695 * [taylor]: Taking taylor expansion of -2.0 in n 2.695 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.695 * [taylor]: Taking taylor expansion of PI in n 2.695 * [taylor]: Taking taylor expansion of n in n 2.772 * * * [progress]: simplifying candidates 2.774 * [simplify]: Simplifying using # : (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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) 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(pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (expm1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log1p (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (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 (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +nan.0 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow 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 (* +nan.0 k) (* (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))) (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) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (fma (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.873 * * * [progress]: adding candidates to table 3.152 * * [progress]: iteration 3 / 4 3.152 * * * [progress]: picking best candidate 3.175 * * * * [pick]: Picked # 3.175 * * * [progress]: localizing error 3.197 * * * [progress]: generating rewritten candidates 3.197 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 3.207 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 3.212 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 3.217 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.237 * * * [progress]: generating series expansions 3.237 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 3.238 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in (k n) around 0 3.238 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.238 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.238 * [taylor]: Taking taylor expansion of k in n 3.238 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.238 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.238 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.238 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.238 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.238 * [taylor]: Taking taylor expansion of 0.5 in n 3.239 * [taylor]: Taking taylor expansion of k in n 3.239 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.239 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.239 * [taylor]: Taking taylor expansion of 2.0 in n 3.239 * [taylor]: Taking taylor expansion of (* n PI) in n 3.239 * [taylor]: Taking taylor expansion of n in n 3.239 * [taylor]: Taking taylor expansion of PI in n 3.244 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.244 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.244 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.244 * [taylor]: Taking taylor expansion of 0.5 in n 3.244 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.244 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.244 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.244 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.244 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.244 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.244 * [taylor]: Taking taylor expansion of 1.0 in n 3.244 * [taylor]: Taking taylor expansion of (log PI) in n 3.244 * [taylor]: Taking taylor expansion of PI in n 3.246 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.246 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.246 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.246 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.246 * [taylor]: Taking taylor expansion of 1.0 in n 3.246 * [taylor]: Taking taylor expansion of (log n) in n 3.246 * [taylor]: Taking taylor expansion of n in n 3.247 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.247 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.247 * [taylor]: Taking taylor expansion of 1.0 in n 3.247 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.247 * [taylor]: Taking taylor expansion of 2.0 in n 3.253 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in k 3.253 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.253 * [taylor]: Taking taylor expansion of k in k 3.254 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 3.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.254 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.254 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.255 * [taylor]: Taking taylor expansion of 0.5 in k 3.255 * [taylor]: Taking taylor expansion of k in k 3.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.255 * [taylor]: Taking taylor expansion of 2.0 in k 3.255 * [taylor]: Taking taylor expansion of (* n PI) in k 3.255 * [taylor]: Taking taylor expansion of n in k 3.255 * [taylor]: Taking taylor expansion of PI in k 3.257 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in k 3.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in k 3.257 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.257 * [taylor]: Taking taylor expansion of 0.5 in k 3.257 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.257 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.257 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.257 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.257 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.257 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.257 * [taylor]: Taking taylor expansion of 1.0 in k 3.258 * [taylor]: Taking taylor expansion of (log PI) in k 3.258 * [taylor]: Taking taylor expansion of PI in k 3.259 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.259 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.259 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.259 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.259 * [taylor]: Taking taylor expansion of 1.0 in k 3.259 * [taylor]: Taking taylor expansion of (log n) in k 3.259 * [taylor]: Taking taylor expansion of n in k 3.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.260 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.260 * [taylor]: Taking taylor expansion of 1.0 in k 3.260 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.260 * [taylor]: Taking taylor expansion of 2.0 in k 3.266 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in k 3.266 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.266 * [taylor]: Taking taylor expansion of k in k 3.267 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 k)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in k 3.267 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.267 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.267 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.267 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.267 * [taylor]: Taking taylor expansion of 0.5 in k 3.267 * [taylor]: Taking taylor expansion of k in k 3.267 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.267 * [taylor]: Taking taylor expansion of 2.0 in k 3.267 * [taylor]: Taking taylor expansion of (* n PI) in k 3.267 * [taylor]: Taking taylor expansion of n in k 3.267 * [taylor]: Taking taylor expansion of PI in k 3.270 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in k 3.270 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in k 3.270 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.270 * [taylor]: Taking taylor expansion of 0.5 in k 3.270 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.270 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.270 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.270 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.270 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.270 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.270 * [taylor]: Taking taylor expansion of 1.0 in k 3.270 * [taylor]: Taking taylor expansion of (log PI) in k 3.270 * [taylor]: Taking taylor expansion of PI in k 3.272 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.272 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.272 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.272 * [taylor]: Taking taylor expansion of 1.0 in k 3.272 * [taylor]: Taking taylor expansion of (log n) in k 3.272 * [taylor]: Taking taylor expansion of n in k 3.272 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.272 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.272 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.272 * [taylor]: Taking taylor expansion of 1.0 in k 3.272 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.272 * [taylor]: Taking taylor expansion of 2.0 in k 3.280 * [taylor]: Taking taylor expansion of 0 in n 3.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.300 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.300 * [taylor]: Taking taylor expansion of +nan.0 in n 3.300 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.300 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.301 * [taylor]: Taking taylor expansion of 0.5 in n 3.301 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.301 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.301 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.301 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.301 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.301 * [taylor]: Taking taylor expansion of 1.0 in n 3.301 * [taylor]: Taking taylor expansion of (log PI) in n 3.301 * [taylor]: Taking taylor expansion of PI in n 3.302 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.303 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.303 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.303 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.303 * [taylor]: Taking taylor expansion of 1.0 in n 3.303 * [taylor]: Taking taylor expansion of (log n) in n 3.303 * [taylor]: Taking taylor expansion of n in n 3.303 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.303 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.303 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.303 * [taylor]: Taking taylor expansion of 1.0 in n 3.303 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.303 * [taylor]: Taking taylor expansion of 2.0 in n 3.341 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 3.341 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 3.341 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) in n 3.341 * [taylor]: Taking taylor expansion of +nan.0 in n 3.341 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 3.341 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in n 3.341 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.341 * [taylor]: Taking taylor expansion of 0.5 in n 3.342 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.342 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.342 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.342 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.342 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.342 * [taylor]: Taking taylor expansion of 1.0 in n 3.342 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.342 * [taylor]: Taking taylor expansion of 2.0 in n 3.343 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.343 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.343 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.344 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.344 * [taylor]: Taking taylor expansion of 1.0 in n 3.344 * [taylor]: Taking taylor expansion of (log n) in n 3.344 * [taylor]: Taking taylor expansion of n in n 3.344 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.344 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.344 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.344 * [taylor]: Taking taylor expansion of 1.0 in n 3.344 * [taylor]: Taking taylor expansion of (log PI) in n 3.344 * [taylor]: Taking taylor expansion of PI in n 3.350 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 3.351 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.351 * [taylor]: Taking taylor expansion of +nan.0 in n 3.351 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.351 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.351 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.351 * [taylor]: Taking taylor expansion of 2.0 in n 3.351 * [taylor]: Taking taylor expansion of (* n PI) in n 3.351 * [taylor]: Taking taylor expansion of n in n 3.351 * [taylor]: Taking taylor expansion of PI in n 3.354 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.354 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.354 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.354 * [taylor]: Taking taylor expansion of 0.5 in n 3.354 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.354 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.354 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.354 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.354 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.354 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.354 * [taylor]: Taking taylor expansion of 1.0 in n 3.354 * [taylor]: Taking taylor expansion of (log PI) in n 3.354 * [taylor]: Taking taylor expansion of PI in n 3.356 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.356 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.356 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.356 * [taylor]: Taking taylor expansion of 1.0 in n 3.356 * [taylor]: Taking taylor expansion of (log n) in n 3.356 * [taylor]: Taking taylor expansion of n in n 3.356 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.356 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.357 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.357 * [taylor]: Taking taylor expansion of 1.0 in n 3.357 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.357 * [taylor]: Taking taylor expansion of 2.0 in n 3.438 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))))) in n 3.438 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))) in n 3.438 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.438 * [taylor]: Taking taylor expansion of +nan.0 in n 3.438 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.438 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.438 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.438 * [taylor]: Taking taylor expansion of 0.5 in n 3.438 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.438 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.438 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.438 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.438 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.438 * [taylor]: Taking taylor expansion of 1.0 in n 3.438 * [taylor]: Taking taylor expansion of (log PI) in n 3.438 * [taylor]: Taking taylor expansion of PI in n 3.440 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.440 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.440 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.440 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.440 * [taylor]: Taking taylor expansion of 1.0 in n 3.440 * [taylor]: Taking taylor expansion of (log n) in n 3.441 * [taylor]: Taking taylor expansion of n in n 3.441 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.441 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.441 * [taylor]: Taking taylor expansion of 1.0 in n 3.441 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.441 * [taylor]: Taking taylor expansion of 2.0 in n 3.447 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))))) in n 3.447 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))) in n 3.447 * [taylor]: Taking taylor expansion of (* +nan.0 (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.447 * [taylor]: Taking taylor expansion of +nan.0 in n 3.447 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.448 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.448 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.448 * [taylor]: Taking taylor expansion of 2.0 in n 3.448 * [taylor]: Taking taylor expansion of (* n PI) in n 3.448 * [taylor]: Taking taylor expansion of n in n 3.448 * [taylor]: Taking taylor expansion of PI in n 3.451 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.451 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.451 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.451 * [taylor]: Taking taylor expansion of 0.5 in n 3.451 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.451 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.451 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.451 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.451 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.451 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.451 * [taylor]: Taking taylor expansion of 1.0 in n 3.451 * [taylor]: Taking taylor expansion of (log PI) in n 3.451 * [taylor]: Taking taylor expansion of PI in n 3.453 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.453 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.453 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.453 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.453 * [taylor]: Taking taylor expansion of 1.0 in n 3.453 * [taylor]: Taking taylor expansion of (log n) in n 3.453 * [taylor]: Taking taylor expansion of n in n 3.454 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.454 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.454 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.454 * [taylor]: Taking taylor expansion of 1.0 in n 3.454 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.454 * [taylor]: Taking taylor expansion of 2.0 in n 3.460 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) in n 3.460 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) in n 3.460 * [taylor]: Taking taylor expansion of +nan.0 in n 3.460 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 3.460 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.460 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.460 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.460 * [taylor]: Taking taylor expansion of 2.0 in n 3.460 * [taylor]: Taking taylor expansion of (* n PI) in n 3.460 * [taylor]: Taking taylor expansion of n in n 3.460 * [taylor]: Taking taylor expansion of PI in n 3.469 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.469 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))))) in n 3.469 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.469 * [taylor]: Taking taylor expansion of 0.5 in n 3.469 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.469 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.469 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.469 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.469 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.469 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.469 * [taylor]: Taking taylor expansion of 1.0 in n 3.469 * [taylor]: Taking taylor expansion of (log PI) in n 3.469 * [taylor]: Taking taylor expansion of PI in n 3.471 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.471 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.471 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.471 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.471 * [taylor]: Taking taylor expansion of 1.0 in n 3.471 * [taylor]: Taking taylor expansion of (log n) in n 3.471 * [taylor]: Taking taylor expansion of n in n 3.472 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.472 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.472 * [taylor]: Taking taylor expansion of 1.0 in n 3.472 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.472 * [taylor]: Taking taylor expansion of 2.0 in n 3.558 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in (k n) around 0 3.558 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.558 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.558 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.558 * [taylor]: Taking taylor expansion of k in n 3.559 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.559 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.559 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.559 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.559 * [taylor]: Taking taylor expansion of 0.5 in n 3.559 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.559 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.559 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.559 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.559 * [taylor]: Taking taylor expansion of 1.0 in n 3.559 * [taylor]: Taking taylor expansion of (log n) in n 3.559 * [taylor]: Taking taylor expansion of n in n 3.559 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.559 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.559 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.559 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.559 * [taylor]: Taking taylor expansion of 1.0 in n 3.559 * [taylor]: Taking taylor expansion of (log PI) in n 3.559 * [taylor]: Taking taylor expansion of PI in n 3.561 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.561 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.561 * [taylor]: Taking taylor expansion of 1.0 in n 3.561 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.561 * [taylor]: Taking taylor expansion of 2.0 in n 3.569 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.569 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.570 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.570 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.570 * [taylor]: Taking taylor expansion of 0.5 in n 3.570 * [taylor]: Taking taylor expansion of k in n 3.570 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.570 * [taylor]: Taking taylor expansion of 2.0 in n 3.570 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.570 * [taylor]: Taking taylor expansion of PI in n 3.570 * [taylor]: Taking taylor expansion of n in n 3.573 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.573 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.573 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.573 * [taylor]: Taking taylor expansion of k in k 3.575 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.575 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 3.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 3.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 3.575 * [taylor]: Taking taylor expansion of 0.5 in k 3.575 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 3.575 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 3.575 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.575 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.575 * [taylor]: Taking taylor expansion of 1.0 in k 3.575 * [taylor]: Taking taylor expansion of (log n) in k 3.575 * [taylor]: Taking taylor expansion of n in k 3.575 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.575 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.575 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.575 * [taylor]: Taking taylor expansion of 1.0 in k 3.575 * [taylor]: Taking taylor expansion of (log PI) in k 3.575 * [taylor]: Taking taylor expansion of PI in k 3.577 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.577 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.577 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.577 * [taylor]: Taking taylor expansion of 1.0 in k 3.577 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.577 * [taylor]: Taking taylor expansion of 2.0 in k 3.585 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.586 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.586 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.586 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.586 * [taylor]: Taking taylor expansion of 0.5 in k 3.586 * [taylor]: Taking taylor expansion of k in k 3.586 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.586 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.586 * [taylor]: Taking taylor expansion of 2.0 in k 3.586 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.586 * [taylor]: Taking taylor expansion of PI in k 3.586 * [taylor]: Taking taylor expansion of n in k 3.586 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.586 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.587 * [taylor]: Taking taylor expansion of k in k 3.588 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.588 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in k 3.588 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in k 3.588 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in k 3.588 * [taylor]: Taking taylor expansion of 0.5 in k 3.588 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in k 3.588 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 3.588 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.588 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.588 * [taylor]: Taking taylor expansion of 1.0 in k 3.588 * [taylor]: Taking taylor expansion of (log n) in k 3.588 * [taylor]: Taking taylor expansion of n in k 3.588 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.588 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.588 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.588 * [taylor]: Taking taylor expansion of 1.0 in k 3.588 * [taylor]: Taking taylor expansion of (log PI) in k 3.588 * [taylor]: Taking taylor expansion of PI in k 3.590 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.590 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.590 * [taylor]: Taking taylor expansion of 1.0 in k 3.590 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.590 * [taylor]: Taking taylor expansion of 2.0 in k 3.598 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.598 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.598 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.598 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.598 * [taylor]: Taking taylor expansion of 0.5 in k 3.598 * [taylor]: Taking taylor expansion of k in k 3.599 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.599 * [taylor]: Taking taylor expansion of 2.0 in k 3.599 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.599 * [taylor]: Taking taylor expansion of PI in k 3.599 * [taylor]: Taking taylor expansion of n in k 3.602 * [taylor]: Taking taylor expansion of 0 in n 3.618 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.618 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.618 * [taylor]: Taking taylor expansion of +nan.0 in n 3.618 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.618 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.618 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.618 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.618 * [taylor]: Taking taylor expansion of 0.5 in n 3.618 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.618 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.618 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.618 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.618 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.618 * [taylor]: Taking taylor expansion of 1.0 in n 3.618 * [taylor]: Taking taylor expansion of (log n) in n 3.618 * [taylor]: Taking taylor expansion of n in n 3.619 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.619 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.619 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.619 * [taylor]: Taking taylor expansion of 1.0 in n 3.619 * [taylor]: Taking taylor expansion of (log PI) in n 3.619 * [taylor]: Taking taylor expansion of PI in n 3.621 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.621 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.621 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.621 * [taylor]: Taking taylor expansion of 1.0 in n 3.621 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.621 * [taylor]: Taking taylor expansion of 2.0 in n 3.629 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.629 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.629 * [taylor]: Taking taylor expansion of 0.5 in n 3.629 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.629 * [taylor]: Taking taylor expansion of 2.0 in n 3.629 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.629 * [taylor]: Taking taylor expansion of PI in n 3.629 * [taylor]: Taking taylor expansion of n in n 3.631 * [taylor]: Taking taylor expansion of k in n 3.674 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.674 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.674 * [taylor]: Taking taylor expansion of +nan.0 in n 3.674 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.674 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.674 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.674 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.674 * [taylor]: Taking taylor expansion of 0.5 in n 3.674 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.674 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.674 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.674 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.674 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.674 * [taylor]: Taking taylor expansion of 1.0 in n 3.674 * [taylor]: Taking taylor expansion of (log n) in n 3.674 * [taylor]: Taking taylor expansion of n in n 3.674 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.675 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.675 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.675 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.675 * [taylor]: Taking taylor expansion of 1.0 in n 3.675 * [taylor]: Taking taylor expansion of (log PI) in n 3.675 * [taylor]: Taking taylor expansion of PI in n 3.677 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.677 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.677 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.677 * [taylor]: Taking taylor expansion of 1.0 in n 3.677 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.677 * [taylor]: Taking taylor expansion of 2.0 in n 3.685 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.685 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.685 * [taylor]: Taking taylor expansion of 0.5 in n 3.685 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.685 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.685 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.685 * [taylor]: Taking taylor expansion of 2.0 in n 3.685 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.685 * [taylor]: Taking taylor expansion of PI in n 3.685 * [taylor]: Taking taylor expansion of n in n 3.687 * [taylor]: Taking taylor expansion of k in n 3.762 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.762 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.762 * [taylor]: Taking taylor expansion of +nan.0 in n 3.762 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.762 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.762 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.762 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.762 * [taylor]: Taking taylor expansion of 0.5 in n 3.762 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.762 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.762 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.762 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.762 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.762 * [taylor]: Taking taylor expansion of 1.0 in n 3.762 * [taylor]: Taking taylor expansion of (log n) in n 3.762 * [taylor]: Taking taylor expansion of n in n 3.763 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.763 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.763 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.763 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.763 * [taylor]: Taking taylor expansion of 1.0 in n 3.763 * [taylor]: Taking taylor expansion of (log PI) in n 3.763 * [taylor]: Taking taylor expansion of PI in n 3.765 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.765 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.765 * [taylor]: Taking taylor expansion of 1.0 in n 3.765 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.765 * [taylor]: Taking taylor expansion of 2.0 in n 3.773 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.773 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.773 * [taylor]: Taking taylor expansion of 0.5 in n 3.773 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.773 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.773 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.773 * [taylor]: Taking taylor expansion of 2.0 in n 3.773 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.773 * [taylor]: Taking taylor expansion of PI in n 3.773 * [taylor]: Taking taylor expansion of n in n 3.775 * [taylor]: Taking taylor expansion of k in n 3.794 * [approximate]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in (k n) around 0 3.795 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 3.795 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.795 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.795 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.795 * [taylor]: Taking taylor expansion of -1 in n 3.795 * [taylor]: Taking taylor expansion of k in n 3.795 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.795 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.795 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.795 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.795 * [taylor]: Taking taylor expansion of -0.5 in n 3.795 * [taylor]: Taking taylor expansion of k in n 3.795 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.795 * [taylor]: Taking taylor expansion of -2.0 in n 3.795 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.795 * [taylor]: Taking taylor expansion of PI in n 3.795 * [taylor]: Taking taylor expansion of n in n 3.798 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.799 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.799 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.799 * [taylor]: Taking taylor expansion of 0.5 in n 3.799 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.799 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.799 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.799 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.799 * [taylor]: Taking taylor expansion of 1.0 in n 3.799 * [taylor]: Taking taylor expansion of (log n) in n 3.799 * [taylor]: Taking taylor expansion of n in n 3.799 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.799 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.799 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.799 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.799 * [taylor]: Taking taylor expansion of 1.0 in n 3.799 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.799 * [taylor]: Taking taylor expansion of -2.0 in n 3.801 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.801 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.801 * [taylor]: Taking taylor expansion of 1.0 in n 3.801 * [taylor]: Taking taylor expansion of (log PI) in n 3.801 * [taylor]: Taking taylor expansion of PI in n 3.810 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 3.810 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.810 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.810 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.810 * [taylor]: Taking taylor expansion of -1 in k 3.810 * [taylor]: Taking taylor expansion of k in k 3.811 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.811 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.811 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.811 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.811 * [taylor]: Taking taylor expansion of -0.5 in k 3.811 * [taylor]: Taking taylor expansion of k in k 3.812 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.812 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.812 * [taylor]: Taking taylor expansion of -2.0 in k 3.812 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.812 * [taylor]: Taking taylor expansion of PI in k 3.812 * [taylor]: Taking taylor expansion of n in k 3.812 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 3.812 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 3.812 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 3.812 * [taylor]: Taking taylor expansion of 0.5 in k 3.812 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 3.812 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 3.812 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.812 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.812 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.812 * [taylor]: Taking taylor expansion of 1.0 in k 3.812 * [taylor]: Taking taylor expansion of (log n) in k 3.812 * [taylor]: Taking taylor expansion of n in k 3.812 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.812 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.812 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.812 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.812 * [taylor]: Taking taylor expansion of 1.0 in k 3.812 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.812 * [taylor]: Taking taylor expansion of -2.0 in k 3.814 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.814 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.814 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.814 * [taylor]: Taking taylor expansion of 1.0 in k 3.814 * [taylor]: Taking taylor expansion of (log PI) in k 3.814 * [taylor]: Taking taylor expansion of PI in k 3.828 * [taylor]: Taking taylor expansion of (* (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in k 3.828 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.828 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.828 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.828 * [taylor]: Taking taylor expansion of -1 in k 3.828 * [taylor]: Taking taylor expansion of k in k 3.830 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.830 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.830 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.830 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.830 * [taylor]: Taking taylor expansion of -0.5 in k 3.830 * [taylor]: Taking taylor expansion of k in k 3.830 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.830 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.830 * [taylor]: Taking taylor expansion of -2.0 in k 3.830 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.830 * [taylor]: Taking taylor expansion of PI in k 3.830 * [taylor]: Taking taylor expansion of n in k 3.831 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 3.831 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 3.831 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 3.831 * [taylor]: Taking taylor expansion of 0.5 in k 3.831 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 3.831 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 3.831 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.831 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.831 * [taylor]: Taking taylor expansion of 1.0 in k 3.831 * [taylor]: Taking taylor expansion of (log n) in k 3.831 * [taylor]: Taking taylor expansion of n in k 3.831 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.831 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.831 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.831 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.831 * [taylor]: Taking taylor expansion of 1.0 in k 3.831 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.831 * [taylor]: Taking taylor expansion of -2.0 in k 3.833 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.833 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.833 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.833 * [taylor]: Taking taylor expansion of 1.0 in k 3.833 * [taylor]: Taking taylor expansion of (log PI) in k 3.833 * [taylor]: Taking taylor expansion of PI in k 3.843 * [taylor]: Taking taylor expansion of 0 in n 3.859 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)))) in n 3.859 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in n 3.859 * [taylor]: Taking taylor expansion of +nan.0 in n 3.859 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 3.859 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.859 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.859 * [taylor]: Taking taylor expansion of -0.5 in n 3.859 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.859 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.859 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.859 * [taylor]: Taking taylor expansion of -2.0 in n 3.859 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.859 * [taylor]: Taking taylor expansion of PI in n 3.859 * [taylor]: Taking taylor expansion of n in n 3.860 * [taylor]: Taking taylor expansion of k in n 3.864 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.864 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.864 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.864 * [taylor]: Taking taylor expansion of 0.5 in n 3.864 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.864 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.864 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.864 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.864 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.864 * [taylor]: Taking taylor expansion of 1.0 in n 3.864 * [taylor]: Taking taylor expansion of (log n) in n 3.864 * [taylor]: Taking taylor expansion of n in n 3.865 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.865 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.865 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.865 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.865 * [taylor]: Taking taylor expansion of 1.0 in n 3.865 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.865 * [taylor]: Taking taylor expansion of -2.0 in n 3.867 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.867 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.867 * [taylor]: Taking taylor expansion of 1.0 in n 3.867 * [taylor]: Taking taylor expansion of (log PI) in n 3.867 * [taylor]: Taking taylor expansion of PI in n 3.908 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)))) in n 3.908 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in n 3.908 * [taylor]: Taking taylor expansion of +nan.0 in n 3.908 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 3.908 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.908 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.908 * [taylor]: Taking taylor expansion of -0.5 in n 3.908 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.908 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.908 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.908 * [taylor]: Taking taylor expansion of -2.0 in n 3.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.908 * [taylor]: Taking taylor expansion of PI in n 3.908 * [taylor]: Taking taylor expansion of n in n 3.910 * [taylor]: Taking taylor expansion of k in n 3.920 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.920 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.920 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.920 * [taylor]: Taking taylor expansion of 0.5 in n 3.920 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.920 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.920 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.920 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.920 * [taylor]: Taking taylor expansion of 1.0 in n 3.920 * [taylor]: Taking taylor expansion of (log n) in n 3.920 * [taylor]: Taking taylor expansion of n in n 3.920 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.920 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.921 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.921 * [taylor]: Taking taylor expansion of 1.0 in n 3.921 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.921 * [taylor]: Taking taylor expansion of -2.0 in n 3.922 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.922 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.922 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.922 * [taylor]: Taking taylor expansion of 1.0 in n 3.922 * [taylor]: Taking taylor expansion of (log PI) in n 3.922 * [taylor]: Taking taylor expansion of PI in n 3.995 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)))) in n 3.995 * [taylor]: Taking taylor expansion of (* +nan.0 (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5))) in n 3.995 * [taylor]: Taking taylor expansion of +nan.0 in n 3.995 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 3.995 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.995 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.995 * [taylor]: Taking taylor expansion of -0.5 in n 3.995 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.995 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.995 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.995 * [taylor]: Taking taylor expansion of -2.0 in n 3.995 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.995 * [taylor]: Taking taylor expansion of PI in n 3.995 * [taylor]: Taking taylor expansion of n in n 3.996 * [taylor]: Taking taylor expansion of k in n 4.006 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 4.006 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 4.006 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 4.006 * [taylor]: Taking taylor expansion of 0.5 in n 4.006 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 4.006 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 4.006 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.006 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.006 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.006 * [taylor]: Taking taylor expansion of 1.0 in n 4.006 * [taylor]: Taking taylor expansion of (log n) in n 4.006 * [taylor]: Taking taylor expansion of n in n 4.007 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.007 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.007 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.007 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.007 * [taylor]: Taking taylor expansion of 1.0 in n 4.007 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.007 * [taylor]: Taking taylor expansion of -2.0 in n 4.009 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.009 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.009 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.009 * [taylor]: Taking taylor expansion of 1.0 in n 4.009 * [taylor]: Taking taylor expansion of (log PI) in n 4.009 * [taylor]: Taking taylor expansion of PI in n 4.032 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 4.032 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.032 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.032 * [taylor]: Taking taylor expansion of 2.0 in n 4.032 * [taylor]: Taking taylor expansion of (* n PI) in n 4.032 * [taylor]: Taking taylor expansion of n in n 4.033 * [taylor]: Taking taylor expansion of PI in n 4.033 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.033 * [taylor]: Taking taylor expansion of 2.0 in n 4.033 * [taylor]: Taking taylor expansion of (* n PI) in n 4.033 * [taylor]: Taking taylor expansion of n in n 4.033 * [taylor]: Taking taylor expansion of PI in n 4.046 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.046 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.046 * [taylor]: Taking taylor expansion of 2.0 in n 4.046 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.046 * [taylor]: Taking taylor expansion of PI in n 4.046 * [taylor]: Taking taylor expansion of n in n 4.046 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.046 * [taylor]: Taking taylor expansion of 2.0 in n 4.046 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.047 * [taylor]: Taking taylor expansion of PI in n 4.047 * [taylor]: Taking taylor expansion of n in n 4.055 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.055 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.055 * [taylor]: Taking taylor expansion of -2.0 in n 4.056 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.056 * [taylor]: Taking taylor expansion of PI in n 4.056 * [taylor]: Taking taylor expansion of n in n 4.056 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.056 * [taylor]: Taking taylor expansion of -2.0 in n 4.056 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.056 * [taylor]: Taking taylor expansion of PI in n 4.056 * [taylor]: Taking taylor expansion of n in n 4.064 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 4.065 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.065 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.065 * [taylor]: Taking taylor expansion of 2.0 in n 4.065 * [taylor]: Taking taylor expansion of (* n PI) in n 4.065 * [taylor]: Taking taylor expansion of n in n 4.065 * [taylor]: Taking taylor expansion of PI in n 4.065 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.065 * [taylor]: Taking taylor expansion of 2.0 in n 4.065 * [taylor]: Taking taylor expansion of (* n PI) in n 4.065 * [taylor]: Taking taylor expansion of n in n 4.065 * [taylor]: Taking taylor expansion of PI in n 4.077 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.077 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.077 * [taylor]: Taking taylor expansion of 2.0 in n 4.077 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.077 * [taylor]: Taking taylor expansion of PI in n 4.077 * [taylor]: Taking taylor expansion of n in n 4.077 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.078 * [taylor]: Taking taylor expansion of 2.0 in n 4.078 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.078 * [taylor]: Taking taylor expansion of PI in n 4.078 * [taylor]: Taking taylor expansion of n in n 4.086 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.086 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.086 * [taylor]: Taking taylor expansion of -2.0 in n 4.086 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.086 * [taylor]: Taking taylor expansion of PI in n 4.086 * [taylor]: Taking taylor expansion of n in n 4.092 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.093 * [taylor]: Taking taylor expansion of -2.0 in n 4.093 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.093 * [taylor]: Taking taylor expansion of PI in n 4.093 * [taylor]: Taking taylor expansion of n in n 4.101 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.103 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (k n) around 0 4.103 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 4.103 * [taylor]: Taking taylor expansion of 1.0 in n 4.103 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 4.103 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 4.103 * [taylor]: Taking taylor expansion of (/ 1 k) in n 4.103 * [taylor]: Taking taylor expansion of k in n 4.103 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 4.103 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.103 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.103 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.103 * [taylor]: Taking taylor expansion of 0.5 in n 4.103 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.103 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.103 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.103 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.103 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.103 * [taylor]: Taking taylor expansion of 1.0 in n 4.103 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.103 * [taylor]: Taking taylor expansion of 2.0 in n 4.105 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.105 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.105 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.105 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.105 * [taylor]: Taking taylor expansion of 1.0 in n 4.105 * [taylor]: Taking taylor expansion of (log n) in n 4.105 * [taylor]: Taking taylor expansion of n in n 4.106 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.106 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.106 * [taylor]: Taking taylor expansion of 1.0 in n 4.106 * [taylor]: Taking taylor expansion of (log PI) in n 4.106 * [taylor]: Taking taylor expansion of PI in n 4.111 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 4.111 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 4.111 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 4.111 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 4.111 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 4.111 * [taylor]: Taking taylor expansion of 0.5 in n 4.111 * [taylor]: Taking taylor expansion of k in n 4.111 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.111 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.111 * [taylor]: Taking taylor expansion of 2.0 in n 4.111 * [taylor]: Taking taylor expansion of (* n PI) in n 4.111 * [taylor]: Taking taylor expansion of n in n 4.111 * [taylor]: Taking taylor expansion of PI in n 4.118 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 4.118 * [taylor]: Taking taylor expansion of 1.0 in k 4.118 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 4.118 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.118 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.118 * [taylor]: Taking taylor expansion of k in k 4.119 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 4.119 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.119 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.119 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.119 * [taylor]: Taking taylor expansion of 0.5 in k 4.119 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.119 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.119 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.119 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.119 * [taylor]: Taking taylor expansion of 1.0 in k 4.119 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.119 * [taylor]: Taking taylor expansion of 2.0 in k 4.121 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.121 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.121 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.121 * [taylor]: Taking taylor expansion of 1.0 in k 4.121 * [taylor]: Taking taylor expansion of (log n) in k 4.121 * [taylor]: Taking taylor expansion of n in k 4.121 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.121 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.121 * [taylor]: Taking taylor expansion of 1.0 in k 4.121 * [taylor]: Taking taylor expansion of (log PI) in k 4.121 * [taylor]: Taking taylor expansion of PI in k 4.127 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.127 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.127 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.127 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.127 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.127 * [taylor]: Taking taylor expansion of 0.5 in k 4.127 * [taylor]: Taking taylor expansion of k in k 4.127 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.127 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.127 * [taylor]: Taking taylor expansion of 2.0 in k 4.127 * [taylor]: Taking taylor expansion of (* n PI) in k 4.127 * [taylor]: Taking taylor expansion of n in k 4.127 * [taylor]: Taking taylor expansion of PI in k 4.130 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 4.130 * [taylor]: Taking taylor expansion of 1.0 in k 4.130 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 4.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 4.130 * [taylor]: Taking taylor expansion of (/ 1 k) in k 4.130 * [taylor]: Taking taylor expansion of k in k 4.131 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 4.131 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 4.131 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 4.131 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 4.131 * [taylor]: Taking taylor expansion of 0.5 in k 4.131 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 4.131 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 4.131 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.131 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.131 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.131 * [taylor]: Taking taylor expansion of 1.0 in k 4.132 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.132 * [taylor]: Taking taylor expansion of 2.0 in k 4.133 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 4.133 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.133 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.133 * [taylor]: Taking taylor expansion of 1.0 in k 4.133 * [taylor]: Taking taylor expansion of (log n) in k 4.133 * [taylor]: Taking taylor expansion of n in k 4.133 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.134 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.134 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.134 * [taylor]: Taking taylor expansion of 1.0 in k 4.134 * [taylor]: Taking taylor expansion of (log PI) in k 4.134 * [taylor]: Taking taylor expansion of PI in k 4.139 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 4.139 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 4.139 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 4.139 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 4.139 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 4.139 * [taylor]: Taking taylor expansion of 0.5 in k 4.139 * [taylor]: Taking taylor expansion of k in k 4.139 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 4.139 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 4.139 * [taylor]: Taking taylor expansion of 2.0 in k 4.139 * [taylor]: Taking taylor expansion of (* n PI) in k 4.139 * [taylor]: Taking taylor expansion of n in k 4.139 * [taylor]: Taking taylor expansion of PI in k 4.144 * [taylor]: Taking taylor expansion of 0 in n 4.159 * [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 4.160 * [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 4.160 * [taylor]: Taking taylor expansion of +nan.0 in n 4.160 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.160 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.160 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.160 * [taylor]: Taking taylor expansion of 0.5 in n 4.160 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.160 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.160 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.160 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.160 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.160 * [taylor]: Taking taylor expansion of 1.0 in n 4.160 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.160 * [taylor]: Taking taylor expansion of 2.0 in n 4.162 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.162 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.162 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.162 * [taylor]: Taking taylor expansion of 1.0 in n 4.162 * [taylor]: Taking taylor expansion of (log n) in n 4.162 * [taylor]: Taking taylor expansion of n in n 4.162 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.162 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.162 * [taylor]: Taking taylor expansion of 1.0 in n 4.162 * [taylor]: Taking taylor expansion of (log PI) in n 4.162 * [taylor]: Taking taylor expansion of PI in n 4.206 * [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)))))))) in n 4.206 * [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))))))) in n 4.206 * [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 4.206 * [taylor]: Taking taylor expansion of +nan.0 in n 4.206 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.206 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.206 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.206 * [taylor]: Taking taylor expansion of 0.5 in n 4.206 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.206 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.206 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.206 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.206 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.206 * [taylor]: Taking taylor expansion of 1.0 in n 4.206 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.206 * [taylor]: Taking taylor expansion of 2.0 in n 4.208 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.208 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.208 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.208 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.208 * [taylor]: Taking taylor expansion of 1.0 in n 4.208 * [taylor]: Taking taylor expansion of (log n) in n 4.208 * [taylor]: Taking taylor expansion of n in n 4.209 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.209 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.209 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.209 * [taylor]: Taking taylor expansion of 1.0 in n 4.209 * [taylor]: Taking taylor expansion of (log PI) in n 4.209 * [taylor]: Taking taylor expansion of PI in n 4.214 * [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 4.214 * [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 4.214 * [taylor]: Taking taylor expansion of +nan.0 in n 4.215 * [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 4.215 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.215 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.215 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.215 * [taylor]: Taking taylor expansion of 0.5 in n 4.215 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.215 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.215 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.215 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.215 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.215 * [taylor]: Taking taylor expansion of 1.0 in n 4.215 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.215 * [taylor]: Taking taylor expansion of 2.0 in n 4.216 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.217 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.217 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.217 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.217 * [taylor]: Taking taylor expansion of 1.0 in n 4.217 * [taylor]: Taking taylor expansion of (log PI) in n 4.217 * [taylor]: Taking taylor expansion of PI in n 4.218 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.218 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.218 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.219 * [taylor]: Taking taylor expansion of 1.0 in n 4.219 * [taylor]: Taking taylor expansion of (log n) in n 4.219 * [taylor]: Taking taylor expansion of n in n 4.223 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.223 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.223 * [taylor]: Taking taylor expansion of 2.0 in n 4.223 * [taylor]: Taking taylor expansion of (* n PI) in n 4.223 * [taylor]: Taking taylor expansion of n in n 4.223 * [taylor]: Taking taylor expansion of PI in n 4.304 * [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))))) (- (* +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 4.304 * [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))))) (- (* +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 4.304 * [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 4.304 * [taylor]: Taking taylor expansion of +nan.0 in n 4.304 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.304 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.304 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.304 * [taylor]: Taking taylor expansion of 0.5 in n 4.304 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.304 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.304 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.304 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.304 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.304 * [taylor]: Taking taylor expansion of 1.0 in n 4.304 * [taylor]: Taking taylor expansion of (log PI) in n 4.304 * [taylor]: Taking taylor expansion of PI in n 4.306 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.306 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.306 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.306 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.306 * [taylor]: Taking taylor expansion of 1.0 in n 4.306 * [taylor]: Taking taylor expansion of (log n) in n 4.306 * [taylor]: Taking taylor expansion of n in n 4.307 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.307 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.307 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.307 * [taylor]: Taking taylor expansion of 1.0 in n 4.307 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.307 * [taylor]: Taking taylor expansion of 2.0 in n 4.312 * [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 4.312 * [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 4.312 * [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 4.312 * [taylor]: Taking taylor expansion of +nan.0 in n 4.312 * [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 4.312 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.312 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.312 * [taylor]: Taking taylor expansion of 0.5 in n 4.312 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.312 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.312 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.312 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.312 * [taylor]: Taking taylor expansion of 1.0 in n 4.312 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.312 * [taylor]: Taking taylor expansion of 2.0 in n 4.314 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.314 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.314 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.314 * [taylor]: Taking taylor expansion of 1.0 in n 4.314 * [taylor]: Taking taylor expansion of (log PI) in n 4.314 * [taylor]: Taking taylor expansion of PI in n 4.316 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.316 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.316 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.316 * [taylor]: Taking taylor expansion of 1.0 in n 4.316 * [taylor]: Taking taylor expansion of (log n) in n 4.316 * [taylor]: Taking taylor expansion of n in n 4.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.320 * [taylor]: Taking taylor expansion of 2.0 in n 4.320 * [taylor]: Taking taylor expansion of (* n PI) in n 4.320 * [taylor]: Taking taylor expansion of n in n 4.320 * [taylor]: Taking taylor expansion of PI in n 4.323 * [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 4.323 * [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 4.323 * [taylor]: Taking taylor expansion of +nan.0 in n 4.324 * [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 4.324 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.324 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.324 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.324 * [taylor]: Taking taylor expansion of 0.5 in n 4.324 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.324 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.324 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.324 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.324 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.324 * [taylor]: Taking taylor expansion of 1.0 in n 4.324 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.324 * [taylor]: Taking taylor expansion of 2.0 in n 4.325 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.326 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.326 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.326 * [taylor]: Taking taylor expansion of 1.0 in n 4.326 * [taylor]: Taking taylor expansion of (log PI) in n 4.326 * [taylor]: Taking taylor expansion of PI in n 4.327 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.327 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.328 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.328 * [taylor]: Taking taylor expansion of 1.0 in n 4.328 * [taylor]: Taking taylor expansion of (log n) in n 4.328 * [taylor]: Taking taylor expansion of n in n 4.332 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.332 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.332 * [taylor]: Taking taylor expansion of 2.0 in n 4.332 * [taylor]: Taking taylor expansion of (* n PI) in n 4.332 * [taylor]: Taking taylor expansion of n in n 4.332 * [taylor]: Taking taylor expansion of PI in n 4.413 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (k n) around 0 4.413 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 4.413 * [taylor]: Taking taylor expansion of 1.0 in n 4.413 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.413 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.413 * [taylor]: Taking taylor expansion of k in n 4.413 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.413 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.413 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.413 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.413 * [taylor]: Taking taylor expansion of 0.5 in n 4.413 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.413 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.413 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.413 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.413 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.413 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.413 * [taylor]: Taking taylor expansion of 1.0 in n 4.413 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.413 * [taylor]: Taking taylor expansion of 2.0 in n 4.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.415 * [taylor]: Taking taylor expansion of 1.0 in n 4.415 * [taylor]: Taking taylor expansion of (log PI) in n 4.415 * [taylor]: Taking taylor expansion of PI in n 4.417 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.417 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.417 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.417 * [taylor]: Taking taylor expansion of 1.0 in n 4.417 * [taylor]: Taking taylor expansion of (log n) in n 4.417 * [taylor]: Taking taylor expansion of n in n 4.425 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.425 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.425 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.425 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.425 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.425 * [taylor]: Taking taylor expansion of 0.5 in n 4.425 * [taylor]: Taking taylor expansion of k in n 4.425 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.425 * [taylor]: Taking taylor expansion of 2.0 in n 4.425 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.425 * [taylor]: Taking taylor expansion of PI in n 4.425 * [taylor]: Taking taylor expansion of n in n 4.430 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 4.430 * [taylor]: Taking taylor expansion of 1.0 in k 4.430 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 4.430 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.430 * [taylor]: Taking taylor expansion of k in k 4.431 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.431 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.431 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.431 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.431 * [taylor]: Taking taylor expansion of 0.5 in k 4.431 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.431 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.431 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.431 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.431 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.431 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.431 * [taylor]: Taking taylor expansion of 1.0 in k 4.431 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.431 * [taylor]: Taking taylor expansion of 2.0 in k 4.433 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.433 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.433 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.433 * [taylor]: Taking taylor expansion of 1.0 in k 4.433 * [taylor]: Taking taylor expansion of (log PI) in k 4.433 * [taylor]: Taking taylor expansion of PI in k 4.435 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.435 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.435 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.435 * [taylor]: Taking taylor expansion of 1.0 in k 4.435 * [taylor]: Taking taylor expansion of (log n) in k 4.435 * [taylor]: Taking taylor expansion of n in k 4.441 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.441 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.441 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.441 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.441 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.442 * [taylor]: Taking taylor expansion of 0.5 in k 4.442 * [taylor]: Taking taylor expansion of k in k 4.442 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.442 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.442 * [taylor]: Taking taylor expansion of 2.0 in k 4.442 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.442 * [taylor]: Taking taylor expansion of PI in k 4.442 * [taylor]: Taking taylor expansion of n in k 4.442 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 4.442 * [taylor]: Taking taylor expansion of 1.0 in k 4.442 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 4.442 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.442 * [taylor]: Taking taylor expansion of k in k 4.443 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.443 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.443 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.443 * [taylor]: Taking taylor expansion of 0.5 in k 4.443 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.444 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.444 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 4.444 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.444 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.444 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.444 * [taylor]: Taking taylor expansion of 1.0 in k 4.444 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.444 * [taylor]: Taking taylor expansion of 2.0 in k 4.445 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.445 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.445 * [taylor]: Taking taylor expansion of 1.0 in k 4.445 * [taylor]: Taking taylor expansion of (log PI) in k 4.445 * [taylor]: Taking taylor expansion of PI in k 4.447 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.448 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.448 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.448 * [taylor]: Taking taylor expansion of 1.0 in k 4.448 * [taylor]: Taking taylor expansion of (log n) in k 4.448 * [taylor]: Taking taylor expansion of n in k 4.459 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.459 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.459 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.459 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.459 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.459 * [taylor]: Taking taylor expansion of 0.5 in k 4.459 * [taylor]: Taking taylor expansion of k in k 4.459 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.459 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.459 * [taylor]: Taking taylor expansion of 2.0 in k 4.459 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.459 * [taylor]: Taking taylor expansion of PI in k 4.459 * [taylor]: Taking taylor expansion of n in k 4.463 * [taylor]: Taking taylor expansion of 0 in n 4.480 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 4.480 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.480 * [taylor]: Taking taylor expansion of +nan.0 in n 4.480 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.480 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.480 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.480 * [taylor]: Taking taylor expansion of 0.5 in n 4.480 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.480 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.480 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.480 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.480 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.480 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.480 * [taylor]: Taking taylor expansion of 1.0 in n 4.480 * [taylor]: Taking taylor expansion of (log PI) in n 4.481 * [taylor]: Taking taylor expansion of PI in n 4.482 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.482 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.482 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.482 * [taylor]: Taking taylor expansion of 1.0 in n 4.482 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.482 * [taylor]: Taking taylor expansion of 2.0 in n 4.484 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.484 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.484 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.484 * [taylor]: Taking taylor expansion of 1.0 in n 4.484 * [taylor]: Taking taylor expansion of (log n) in n 4.484 * [taylor]: Taking taylor expansion of n in n 4.491 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.491 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.491 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.491 * [taylor]: Taking taylor expansion of 0.5 in n 4.491 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.491 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.491 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.491 * [taylor]: Taking taylor expansion of 2.0 in n 4.491 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.491 * [taylor]: Taking taylor expansion of PI in n 4.491 * [taylor]: Taking taylor expansion of n in n 4.493 * [taylor]: Taking taylor expansion of k in n 4.533 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 4.533 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.533 * [taylor]: Taking taylor expansion of +nan.0 in n 4.533 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.533 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.533 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.533 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.533 * [taylor]: Taking taylor expansion of 0.5 in n 4.533 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.533 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.533 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.533 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.533 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.533 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.533 * [taylor]: Taking taylor expansion of 1.0 in n 4.533 * [taylor]: Taking taylor expansion of (log PI) in n 4.533 * [taylor]: Taking taylor expansion of PI in n 4.535 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.535 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.535 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.535 * [taylor]: Taking taylor expansion of 1.0 in n 4.535 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.535 * [taylor]: Taking taylor expansion of 2.0 in n 4.537 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.537 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.537 * [taylor]: Taking taylor expansion of 1.0 in n 4.537 * [taylor]: Taking taylor expansion of (log n) in n 4.537 * [taylor]: Taking taylor expansion of n in n 4.550 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.550 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.550 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.550 * [taylor]: Taking taylor expansion of 0.5 in n 4.550 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.550 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.550 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.550 * [taylor]: Taking taylor expansion of 2.0 in n 4.550 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.550 * [taylor]: Taking taylor expansion of PI in n 4.550 * [taylor]: Taking taylor expansion of n in n 4.551 * [taylor]: Taking taylor expansion of k in n 4.625 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 4.625 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.625 * [taylor]: Taking taylor expansion of +nan.0 in n 4.625 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.625 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.625 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.625 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.625 * [taylor]: Taking taylor expansion of 0.5 in n 4.625 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.625 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.625 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.625 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.625 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.625 * [taylor]: Taking taylor expansion of 1.0 in n 4.625 * [taylor]: Taking taylor expansion of (log PI) in n 4.625 * [taylor]: Taking taylor expansion of PI in n 4.627 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.627 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.627 * [taylor]: Taking taylor expansion of 1.0 in n 4.627 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.627 * [taylor]: Taking taylor expansion of 2.0 in n 4.629 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.629 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.629 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.629 * [taylor]: Taking taylor expansion of 1.0 in n 4.629 * [taylor]: Taking taylor expansion of (log n) in n 4.629 * [taylor]: Taking taylor expansion of n in n 4.641 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.642 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.642 * [taylor]: Taking taylor expansion of 0.5 in n 4.642 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.642 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.642 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.642 * [taylor]: Taking taylor expansion of 2.0 in n 4.642 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.642 * [taylor]: Taking taylor expansion of PI in n 4.642 * [taylor]: Taking taylor expansion of n in n 4.643 * [taylor]: Taking taylor expansion of k in n 4.664 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 4.664 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.664 * [taylor]: Taking taylor expansion of 1.0 in n 4.664 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.664 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.664 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.664 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.664 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.664 * [taylor]: Taking taylor expansion of -1 in n 4.664 * [taylor]: Taking taylor expansion of k in n 4.664 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.664 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.664 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.664 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.664 * [taylor]: Taking taylor expansion of -0.5 in n 4.664 * [taylor]: Taking taylor expansion of k in n 4.664 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.664 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.664 * [taylor]: Taking taylor expansion of -2.0 in n 4.664 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.664 * [taylor]: Taking taylor expansion of PI in n 4.664 * [taylor]: Taking taylor expansion of n in n 4.669 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.669 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.670 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.670 * [taylor]: Taking taylor expansion of 0.5 in n 4.670 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.670 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.670 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.670 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.670 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.670 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.670 * [taylor]: Taking taylor expansion of 1.0 in n 4.670 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.670 * [taylor]: Taking taylor expansion of -2.0 in n 4.671 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.671 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.671 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.671 * [taylor]: Taking taylor expansion of 1.0 in n 4.672 * [taylor]: Taking taylor expansion of (log PI) in n 4.672 * [taylor]: Taking taylor expansion of PI in n 4.673 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.673 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.673 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.673 * [taylor]: Taking taylor expansion of 1.0 in n 4.673 * [taylor]: Taking taylor expansion of (log n) in n 4.673 * [taylor]: Taking taylor expansion of n in n 4.680 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.680 * [taylor]: Taking taylor expansion of 1.0 in k 4.680 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.681 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.681 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.681 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.681 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.681 * [taylor]: Taking taylor expansion of -1 in k 4.681 * [taylor]: Taking taylor expansion of k in k 4.682 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.682 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.682 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.682 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.682 * [taylor]: Taking taylor expansion of -0.5 in k 4.682 * [taylor]: Taking taylor expansion of k in k 4.682 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.682 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.682 * [taylor]: Taking taylor expansion of -2.0 in k 4.682 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.682 * [taylor]: Taking taylor expansion of PI in k 4.683 * [taylor]: Taking taylor expansion of n in k 4.683 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.683 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.683 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.683 * [taylor]: Taking taylor expansion of 0.5 in k 4.683 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.683 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.683 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.683 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.683 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.683 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.684 * [taylor]: Taking taylor expansion of 1.0 in k 4.684 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.684 * [taylor]: Taking taylor expansion of -2.0 in k 4.685 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.685 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.685 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.685 * [taylor]: Taking taylor expansion of 1.0 in k 4.685 * [taylor]: Taking taylor expansion of (log PI) in k 4.685 * [taylor]: Taking taylor expansion of PI in k 4.687 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.687 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.687 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.687 * [taylor]: Taking taylor expansion of 1.0 in k 4.687 * [taylor]: Taking taylor expansion of (log n) in k 4.687 * [taylor]: Taking taylor expansion of n in k 4.694 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 4.694 * [taylor]: Taking taylor expansion of 1.0 in k 4.694 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 4.694 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.694 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.694 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.694 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.694 * [taylor]: Taking taylor expansion of -1 in k 4.694 * [taylor]: Taking taylor expansion of k in k 4.695 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.695 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.695 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.695 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.695 * [taylor]: Taking taylor expansion of -0.5 in k 4.695 * [taylor]: Taking taylor expansion of k in k 4.696 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.696 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.696 * [taylor]: Taking taylor expansion of -2.0 in k 4.696 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.696 * [taylor]: Taking taylor expansion of PI in k 4.696 * [taylor]: Taking taylor expansion of n in k 4.696 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.696 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.696 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.696 * [taylor]: Taking taylor expansion of 0.5 in k 4.697 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.697 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.697 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.697 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.697 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.697 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.697 * [taylor]: Taking taylor expansion of 1.0 in k 4.697 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.697 * [taylor]: Taking taylor expansion of -2.0 in k 4.699 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.699 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.699 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.699 * [taylor]: Taking taylor expansion of 1.0 in k 4.699 * [taylor]: Taking taylor expansion of (log PI) in k 4.699 * [taylor]: Taking taylor expansion of PI in k 4.700 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.701 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.701 * [taylor]: Taking taylor expansion of 1.0 in k 4.701 * [taylor]: Taking taylor expansion of (log n) in k 4.701 * [taylor]: Taking taylor expansion of n in k 4.710 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.710 * [taylor]: Taking taylor expansion of +nan.0 in n 4.710 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.710 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.710 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.710 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.710 * [taylor]: Taking taylor expansion of -0.5 in n 4.710 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.710 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.710 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.710 * [taylor]: Taking taylor expansion of -2.0 in n 4.710 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.710 * [taylor]: Taking taylor expansion of PI in n 4.710 * [taylor]: Taking taylor expansion of n in n 4.711 * [taylor]: Taking taylor expansion of k in n 4.716 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.716 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.716 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.716 * [taylor]: Taking taylor expansion of 0.5 in n 4.716 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.716 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.716 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.716 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.716 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.716 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.716 * [taylor]: Taking taylor expansion of 1.0 in n 4.716 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.716 * [taylor]: Taking taylor expansion of -2.0 in n 4.718 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.718 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.718 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.718 * [taylor]: Taking taylor expansion of 1.0 in n 4.718 * [taylor]: Taking taylor expansion of (log PI) in n 4.718 * [taylor]: Taking taylor expansion of PI in n 4.720 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.720 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.720 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.720 * [taylor]: Taking taylor expansion of 1.0 in n 4.720 * [taylor]: Taking taylor expansion of (log n) in n 4.720 * [taylor]: Taking taylor expansion of n in n 4.759 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 4.759 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.759 * [taylor]: Taking taylor expansion of +nan.0 in n 4.759 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.759 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.759 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.759 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.759 * [taylor]: Taking taylor expansion of -0.5 in n 4.759 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.759 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.759 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.759 * [taylor]: Taking taylor expansion of -2.0 in n 4.759 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.759 * [taylor]: Taking taylor expansion of PI in n 4.759 * [taylor]: Taking taylor expansion of n in n 4.761 * [taylor]: Taking taylor expansion of k in n 4.765 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.765 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.765 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.765 * [taylor]: Taking taylor expansion of 0.5 in n 4.765 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.765 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.765 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.765 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.765 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.765 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.765 * [taylor]: Taking taylor expansion of 1.0 in n 4.765 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.765 * [taylor]: Taking taylor expansion of -2.0 in n 4.767 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.767 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.767 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.767 * [taylor]: Taking taylor expansion of 1.0 in n 4.767 * [taylor]: Taking taylor expansion of (log PI) in n 4.767 * [taylor]: Taking taylor expansion of PI in n 4.769 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.769 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.769 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.769 * [taylor]: Taking taylor expansion of 1.0 in n 4.769 * [taylor]: Taking taylor expansion of (log n) in n 4.769 * [taylor]: Taking taylor expansion of n in n 4.842 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 4.842 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 4.842 * [taylor]: Taking taylor expansion of +nan.0 in n 4.842 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 4.842 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.842 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.843 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.843 * [taylor]: Taking taylor expansion of -0.5 in n 4.843 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.843 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.843 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.843 * [taylor]: Taking taylor expansion of -2.0 in n 4.843 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.843 * [taylor]: Taking taylor expansion of PI in n 4.843 * [taylor]: Taking taylor expansion of n in n 4.844 * [taylor]: Taking taylor expansion of k in n 4.849 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.849 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.849 * [taylor]: Taking taylor expansion of 0.5 in n 4.849 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.849 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.849 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.849 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.849 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.849 * [taylor]: Taking taylor expansion of 1.0 in n 4.849 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.849 * [taylor]: Taking taylor expansion of -2.0 in n 4.851 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.851 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.851 * [taylor]: Taking taylor expansion of 1.0 in n 4.851 * [taylor]: Taking taylor expansion of (log PI) in n 4.851 * [taylor]: Taking taylor expansion of PI in n 4.853 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.853 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.853 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.853 * [taylor]: Taking taylor expansion of 1.0 in n 4.853 * [taylor]: Taking taylor expansion of (log n) in n 4.853 * [taylor]: Taking taylor expansion of n in n 4.875 * * * [progress]: simplifying candidates 4.878 * [simplify]: Simplifying using # : (expm1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log1p (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (exp (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow n (/ 1.0 2.0))) (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt k) 1) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (/ 1.0 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log1p (/ 1.0 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (log 1.0) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)))) (- (log 1.0) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)))) (- (log 1.0) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)))) (- (log 1.0) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (* (log (* (* 2.0 PI) n)) (/ 1.0 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(sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt 1.0) (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (/ (sqrt 1.0) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (sqrt 1.0) (/ (sqrt 1.0) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (sqrt 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ 1.0 (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ 1 (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ 1.0 (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ 1 (/ (sqrt k) (pow (* 2.0 PI) (/ 1.0 2.0)))) (/ 1.0 (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow n (/ 1.0 2.0)))) (/ 1 (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ 1.0 (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ 1 (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ 1.0 (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ 1 (sqrt k)) (/ 1.0 (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) (/ 1.0 (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) 1 (/ 1.0 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1.0) (/ 1.0 (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ 1.0 (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ 1.0 (/ (sqrt k) (pow (* 2.0 PI) (/ 1.0 2.0)))) (/ 1.0 (/ (sqrt k) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ 1.0 (/ (sqrt k) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ 1.0 (sqrt k)) (/ 1.0 (/ (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)))) 1.0 (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt 1.0)) (/ (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt 1.0)) (/ (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1.0) (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (- (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)))) (- (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* k (pow (/ 1 (* (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 (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (fma +nan.0 (* (* (pow k 3) (* (log (* 2.0 PI)) (log n))) (pow (/ 1 (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0)))) 0.5)) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))))))))))))) (+ (- (* +nan.0 (* (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (fma +nan.0 (* (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))) k) (pow (/ 1 (* (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))) k))) (pow k 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))))) (+ (- (* +nan.0 (* (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (pow (/ (pow -1 1.0) (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) 0.5)))) (fma +nan.0 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (/ (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (pow (/ (pow -1 1.0) (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) 0.5)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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))) (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 (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (fma +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))) (fma +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))) 4.934 * * * [progress]: adding candidates to table 5.390 * * [progress]: iteration 4 / 4 5.390 * * * [progress]: picking best candidate 5.409 * * * * [pick]: Picked # 5.409 * * * [progress]: localizing error 5.427 * * * [progress]: generating rewritten candidates 5.427 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.431 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 5.436 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 5.441 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.478 * * * [progress]: generating series expansions 5.479 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.479 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 5.479 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.479 * [taylor]: Taking taylor expansion of 1.0 in k 5.479 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.479 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.479 * [taylor]: Taking taylor expansion of k in k 5.481 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 5.481 * [taylor]: Taking taylor expansion of 1.0 in k 5.481 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.481 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.481 * [taylor]: Taking taylor expansion of k in k 5.492 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 5.492 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.492 * [taylor]: Taking taylor expansion of 1.0 in k 5.492 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.492 * [taylor]: Taking taylor expansion of k in k 5.493 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 5.493 * [taylor]: Taking taylor expansion of 1.0 in k 5.493 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.493 * [taylor]: Taking taylor expansion of k in k 5.503 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 5.503 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.503 * [taylor]: Taking taylor expansion of 1.0 in k 5.503 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.503 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.503 * [taylor]: Taking taylor expansion of -1 in k 5.503 * [taylor]: Taking taylor expansion of k in k 5.505 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 5.505 * [taylor]: Taking taylor expansion of 1.0 in k 5.505 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 5.505 * [taylor]: Taking taylor expansion of (/ -1 k) in k 5.505 * [taylor]: Taking taylor expansion of -1 in k 5.505 * [taylor]: Taking taylor expansion of k in k 5.517 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 5.517 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.517 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.517 * [taylor]: Taking taylor expansion of 2.0 in n 5.517 * [taylor]: Taking taylor expansion of (* n PI) in n 5.517 * [taylor]: Taking taylor expansion of n in n 5.517 * [taylor]: Taking taylor expansion of PI in n 5.517 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.518 * [taylor]: Taking taylor expansion of 2.0 in n 5.518 * [taylor]: Taking taylor expansion of (* n PI) in n 5.518 * [taylor]: Taking taylor expansion of n in n 5.518 * [taylor]: Taking taylor expansion of PI in n 5.530 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.530 * [taylor]: Taking taylor expansion of 2.0 in n 5.530 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.530 * [taylor]: Taking taylor expansion of PI in n 5.530 * [taylor]: Taking taylor expansion of n in n 5.531 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.531 * [taylor]: Taking taylor expansion of 2.0 in n 5.531 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.531 * [taylor]: Taking taylor expansion of PI in n 5.531 * [taylor]: Taking taylor expansion of n in n 5.546 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.546 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.546 * [taylor]: Taking taylor expansion of -2.0 in n 5.546 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.546 * [taylor]: Taking taylor expansion of PI in n 5.546 * [taylor]: Taking taylor expansion of n in n 5.547 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.547 * [taylor]: Taking taylor expansion of -2.0 in n 5.547 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.547 * [taylor]: Taking taylor expansion of PI in n 5.547 * [taylor]: Taking taylor expansion of n in n 5.555 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 5.556 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 5.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.556 * [taylor]: Taking taylor expansion of 2.0 in n 5.556 * [taylor]: Taking taylor expansion of (* n PI) in n 5.556 * [taylor]: Taking taylor expansion of n in n 5.556 * [taylor]: Taking taylor expansion of PI in n 5.556 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.556 * [taylor]: Taking taylor expansion of 2.0 in n 5.556 * [taylor]: Taking taylor expansion of (* n PI) in n 5.556 * [taylor]: Taking taylor expansion of n in n 5.556 * [taylor]: Taking taylor expansion of PI in n 5.568 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 5.568 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.568 * [taylor]: Taking taylor expansion of 2.0 in n 5.568 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.568 * [taylor]: Taking taylor expansion of PI in n 5.568 * [taylor]: Taking taylor expansion of n in n 5.569 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.569 * [taylor]: Taking taylor expansion of 2.0 in n 5.569 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.569 * [taylor]: Taking taylor expansion of PI in n 5.569 * [taylor]: Taking taylor expansion of n in n 5.578 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 5.578 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.578 * [taylor]: Taking taylor expansion of -2.0 in n 5.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.578 * [taylor]: Taking taylor expansion of PI in n 5.578 * [taylor]: Taking taylor expansion of n in n 5.578 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 5.578 * [taylor]: Taking taylor expansion of -2.0 in n 5.578 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.578 * [taylor]: Taking taylor expansion of PI in n 5.578 * [taylor]: Taking taylor expansion of n in n 5.587 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.588 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in (k n) around 0 5.588 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in n 5.588 * [taylor]: Taking taylor expansion of 1.0 in n 5.588 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 5.588 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 5.588 * [taylor]: Taking taylor expansion of (/ 1 k) in n 5.588 * [taylor]: Taking taylor expansion of k in n 5.589 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 5.589 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.589 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.589 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.589 * [taylor]: Taking taylor expansion of 0.5 in n 5.589 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.589 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.589 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.589 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.589 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.589 * [taylor]: Taking taylor expansion of 1.0 in n 5.589 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.589 * [taylor]: Taking taylor expansion of 2.0 in n 5.590 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.591 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.591 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.591 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.591 * [taylor]: Taking taylor expansion of 1.0 in n 5.591 * [taylor]: Taking taylor expansion of (log n) in n 5.591 * [taylor]: Taking taylor expansion of n in n 5.591 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.591 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.591 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.591 * [taylor]: Taking taylor expansion of 1.0 in n 5.591 * [taylor]: Taking taylor expansion of (log PI) in n 5.591 * [taylor]: Taking taylor expansion of PI in n 5.597 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 5.597 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 5.597 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 5.597 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 5.597 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 5.597 * [taylor]: Taking taylor expansion of 0.5 in n 5.597 * [taylor]: Taking taylor expansion of k in n 5.597 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.597 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.597 * [taylor]: Taking taylor expansion of 2.0 in n 5.597 * [taylor]: Taking taylor expansion of (* n PI) in n 5.597 * [taylor]: Taking taylor expansion of n in n 5.597 * [taylor]: Taking taylor expansion of PI in n 5.603 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 5.603 * [taylor]: Taking taylor expansion of 1.0 in k 5.603 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 5.603 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.603 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.603 * [taylor]: Taking taylor expansion of k in k 5.604 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 5.604 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 5.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 5.605 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 5.605 * [taylor]: Taking taylor expansion of 0.5 in k 5.605 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 5.605 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 5.605 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.605 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.605 * [taylor]: Taking taylor expansion of 1.0 in k 5.605 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.605 * [taylor]: Taking taylor expansion of 2.0 in k 5.607 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 5.607 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.607 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.607 * [taylor]: Taking taylor expansion of 1.0 in k 5.607 * [taylor]: Taking taylor expansion of (log n) in k 5.607 * [taylor]: Taking taylor expansion of n in k 5.607 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.607 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.607 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.607 * [taylor]: Taking taylor expansion of 1.0 in k 5.607 * [taylor]: Taking taylor expansion of (log PI) in k 5.607 * [taylor]: Taking taylor expansion of PI in k 5.612 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 5.612 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 5.612 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 5.612 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 5.612 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 5.612 * [taylor]: Taking taylor expansion of 0.5 in k 5.612 * [taylor]: Taking taylor expansion of k in k 5.612 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.612 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.612 * [taylor]: Taking taylor expansion of 2.0 in k 5.612 * [taylor]: Taking taylor expansion of (* n PI) in k 5.612 * [taylor]: Taking taylor expansion of n in k 5.612 * [taylor]: Taking taylor expansion of PI in k 5.615 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))))) in k 5.615 * [taylor]: Taking taylor expansion of 1.0 in k 5.615 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 5.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 5.615 * [taylor]: Taking taylor expansion of (/ 1 k) in k 5.615 * [taylor]: Taking taylor expansion of k in k 5.617 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 5.617 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 5.617 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 5.617 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 5.617 * [taylor]: Taking taylor expansion of 0.5 in k 5.617 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 5.617 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 5.617 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.617 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.617 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.617 * [taylor]: Taking taylor expansion of 1.0 in k 5.617 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.617 * [taylor]: Taking taylor expansion of 2.0 in k 5.619 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 5.619 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.619 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.619 * [taylor]: Taking taylor expansion of 1.0 in k 5.619 * [taylor]: Taking taylor expansion of (log n) in k 5.619 * [taylor]: Taking taylor expansion of n in k 5.619 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.619 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.619 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.619 * [taylor]: Taking taylor expansion of 1.0 in k 5.619 * [taylor]: Taking taylor expansion of (log PI) in k 5.619 * [taylor]: Taking taylor expansion of PI in k 5.630 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 5.631 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 5.631 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 5.631 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 5.631 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 5.631 * [taylor]: Taking taylor expansion of 0.5 in k 5.631 * [taylor]: Taking taylor expansion of k in k 5.631 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 5.631 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 5.631 * [taylor]: Taking taylor expansion of 2.0 in k 5.631 * [taylor]: Taking taylor expansion of (* n PI) in k 5.631 * [taylor]: Taking taylor expansion of n in k 5.631 * [taylor]: Taking taylor expansion of PI in k 5.636 * [taylor]: Taking taylor expansion of 0 in n 5.650 * [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 5.650 * [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 5.650 * [taylor]: Taking taylor expansion of +nan.0 in n 5.650 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.650 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.650 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.650 * [taylor]: Taking taylor expansion of 0.5 in n 5.650 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.650 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.650 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.650 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.651 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.651 * [taylor]: Taking taylor expansion of 1.0 in n 5.651 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.651 * [taylor]: Taking taylor expansion of 2.0 in n 5.652 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.652 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.652 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.652 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.652 * [taylor]: Taking taylor expansion of 1.0 in n 5.652 * [taylor]: Taking taylor expansion of (log n) in n 5.652 * [taylor]: Taking taylor expansion of n in n 5.653 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.653 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.653 * [taylor]: Taking taylor expansion of 1.0 in n 5.653 * [taylor]: Taking taylor expansion of (log PI) in n 5.653 * [taylor]: Taking taylor expansion of PI in n 5.690 * [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)))))))) in n 5.690 * [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))))))) in n 5.690 * [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 5.690 * [taylor]: Taking taylor expansion of +nan.0 in n 5.690 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 5.690 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 5.690 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 5.690 * [taylor]: Taking taylor expansion of 0.5 in n 5.690 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 5.690 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 5.690 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.690 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.690 * [taylor]: Taking taylor expansion of 1.0 in n 5.690 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.690 * [taylor]: Taking taylor expansion of 2.0 in n 5.692 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 5.692 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.692 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.692 * [taylor]: Taking taylor expansion of 1.0 in n 5.692 * [taylor]: Taking taylor expansion of (log n) in n 5.692 * [taylor]: Taking taylor expansion of n in n 5.693 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.693 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.693 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.693 * [taylor]: Taking taylor expansion of 1.0 in n 5.693 * [taylor]: Taking taylor expansion of (log PI) in n 5.693 * [taylor]: Taking taylor expansion of PI in n 5.698 * [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 5.698 * [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 5.698 * [taylor]: Taking taylor expansion of +nan.0 in n 5.698 * [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 5.698 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.698 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.698 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.698 * [taylor]: Taking taylor expansion of 0.5 in n 5.698 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.698 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.698 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.698 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.698 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.699 * [taylor]: Taking taylor expansion of 1.0 in n 5.699 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.699 * [taylor]: Taking taylor expansion of 2.0 in n 5.700 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.700 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.700 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.700 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.700 * [taylor]: Taking taylor expansion of 1.0 in n 5.700 * [taylor]: Taking taylor expansion of (log PI) in n 5.700 * [taylor]: Taking taylor expansion of PI in n 5.702 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.702 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.702 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.702 * [taylor]: Taking taylor expansion of 1.0 in n 5.702 * [taylor]: Taking taylor expansion of (log n) in n 5.702 * [taylor]: Taking taylor expansion of n in n 5.706 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.706 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.706 * [taylor]: Taking taylor expansion of 2.0 in n 5.706 * [taylor]: Taking taylor expansion of (* n PI) in n 5.706 * [taylor]: Taking taylor expansion of n in n 5.707 * [taylor]: Taking taylor expansion of PI in n 5.788 * [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))))) (- (* +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 5.788 * [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))))) (- (* +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 5.788 * [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 5.788 * [taylor]: Taking taylor expansion of +nan.0 in n 5.788 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.788 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.788 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.788 * [taylor]: Taking taylor expansion of 0.5 in n 5.788 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.788 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.788 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.788 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.788 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.788 * [taylor]: Taking taylor expansion of 1.0 in n 5.788 * [taylor]: Taking taylor expansion of (log PI) in n 5.788 * [taylor]: Taking taylor expansion of PI in n 5.790 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.790 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.790 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.790 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.790 * [taylor]: Taking taylor expansion of 1.0 in n 5.790 * [taylor]: Taking taylor expansion of (log n) in n 5.790 * [taylor]: Taking taylor expansion of n in n 5.791 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.791 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.791 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.791 * [taylor]: Taking taylor expansion of 1.0 in n 5.791 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.791 * [taylor]: Taking taylor expansion of 2.0 in n 5.796 * [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 5.796 * [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 5.796 * [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 5.796 * [taylor]: Taking taylor expansion of +nan.0 in n 5.796 * [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 5.796 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.796 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.796 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.796 * [taylor]: Taking taylor expansion of 0.5 in n 5.796 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.796 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.796 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.796 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.796 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.796 * [taylor]: Taking taylor expansion of 1.0 in n 5.796 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.796 * [taylor]: Taking taylor expansion of 2.0 in n 5.798 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.798 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.798 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.798 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.798 * [taylor]: Taking taylor expansion of 1.0 in n 5.798 * [taylor]: Taking taylor expansion of (log PI) in n 5.798 * [taylor]: Taking taylor expansion of PI in n 5.800 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.800 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.800 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.800 * [taylor]: Taking taylor expansion of 1.0 in n 5.800 * [taylor]: Taking taylor expansion of (log n) in n 5.800 * [taylor]: Taking taylor expansion of n in n 5.804 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.804 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.804 * [taylor]: Taking taylor expansion of 2.0 in n 5.804 * [taylor]: Taking taylor expansion of (* n PI) in n 5.804 * [taylor]: Taking taylor expansion of n in n 5.804 * [taylor]: Taking taylor expansion of PI in n 5.813 * [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 5.813 * [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 5.813 * [taylor]: Taking taylor expansion of +nan.0 in n 5.813 * [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 5.813 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 5.813 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 5.813 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 5.813 * [taylor]: Taking taylor expansion of 0.5 in n 5.813 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 5.813 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 5.813 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.813 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.813 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.813 * [taylor]: Taking taylor expansion of 1.0 in n 5.813 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.813 * [taylor]: Taking taylor expansion of 2.0 in n 5.815 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 5.815 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.815 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.815 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.815 * [taylor]: Taking taylor expansion of 1.0 in n 5.815 * [taylor]: Taking taylor expansion of (log PI) in n 5.815 * [taylor]: Taking taylor expansion of PI in n 5.817 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.817 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.817 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.817 * [taylor]: Taking taylor expansion of 1.0 in n 5.817 * [taylor]: Taking taylor expansion of (log n) in n 5.817 * [taylor]: Taking taylor expansion of n in n 5.821 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 5.821 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 5.821 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 5.821 * [taylor]: Taking taylor expansion of 2.0 in n 5.821 * [taylor]: Taking taylor expansion of (* n PI) in n 5.821 * [taylor]: Taking taylor expansion of n in n 5.821 * [taylor]: Taking taylor expansion of PI in n 5.901 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (k n) around 0 5.901 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 5.901 * [taylor]: Taking taylor expansion of 1.0 in n 5.901 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 5.901 * [taylor]: Taking taylor expansion of (sqrt k) in n 5.901 * [taylor]: Taking taylor expansion of k in n 5.901 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 5.901 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 5.901 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 5.901 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 5.901 * [taylor]: Taking taylor expansion of 0.5 in n 5.901 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 5.901 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 5.901 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 5.901 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.901 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.901 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.901 * [taylor]: Taking taylor expansion of 1.0 in n 5.901 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.901 * [taylor]: Taking taylor expansion of 2.0 in n 5.903 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.903 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.903 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.903 * [taylor]: Taking taylor expansion of 1.0 in n 5.903 * [taylor]: Taking taylor expansion of (log PI) in n 5.903 * [taylor]: Taking taylor expansion of PI in n 5.905 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.905 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.905 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.905 * [taylor]: Taking taylor expansion of 1.0 in n 5.905 * [taylor]: Taking taylor expansion of (log n) in n 5.905 * [taylor]: Taking taylor expansion of n in n 5.912 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 5.912 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 5.912 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 5.912 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 5.912 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 5.912 * [taylor]: Taking taylor expansion of 0.5 in n 5.912 * [taylor]: Taking taylor expansion of k in n 5.912 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.912 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.912 * [taylor]: Taking taylor expansion of 2.0 in n 5.912 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.912 * [taylor]: Taking taylor expansion of PI in n 5.912 * [taylor]: Taking taylor expansion of n in n 5.917 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 5.917 * [taylor]: Taking taylor expansion of 1.0 in k 5.917 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 5.917 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.917 * [taylor]: Taking taylor expansion of k in k 5.918 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 5.918 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.918 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.918 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.918 * [taylor]: Taking taylor expansion of 0.5 in k 5.918 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.918 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.918 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.918 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.919 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.919 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.919 * [taylor]: Taking taylor expansion of 1.0 in k 5.919 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.919 * [taylor]: Taking taylor expansion of 2.0 in k 5.920 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.920 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.920 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.920 * [taylor]: Taking taylor expansion of 1.0 in k 5.920 * [taylor]: Taking taylor expansion of (log PI) in k 5.920 * [taylor]: Taking taylor expansion of PI in k 5.923 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.923 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.923 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.923 * [taylor]: Taking taylor expansion of 1.0 in k 5.923 * [taylor]: Taking taylor expansion of (log n) in k 5.923 * [taylor]: Taking taylor expansion of n in k 5.929 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 5.929 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 5.929 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 5.929 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 5.929 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 5.929 * [taylor]: Taking taylor expansion of 0.5 in k 5.929 * [taylor]: Taking taylor expansion of k in k 5.930 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.930 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.930 * [taylor]: Taking taylor expansion of 2.0 in k 5.930 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.930 * [taylor]: Taking taylor expansion of PI in k 5.930 * [taylor]: Taking taylor expansion of n in k 5.930 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 5.930 * [taylor]: Taking taylor expansion of 1.0 in k 5.930 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 5.930 * [taylor]: Taking taylor expansion of (sqrt k) in k 5.930 * [taylor]: Taking taylor expansion of k in k 5.931 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 5.931 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 5.931 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 5.931 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 5.931 * [taylor]: Taking taylor expansion of 0.5 in k 5.931 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 5.931 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 5.931 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 5.931 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 5.931 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 5.932 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 5.932 * [taylor]: Taking taylor expansion of 1.0 in k 5.932 * [taylor]: Taking taylor expansion of (log 2.0) in k 5.932 * [taylor]: Taking taylor expansion of 2.0 in k 5.933 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 5.933 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 5.933 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 5.933 * [taylor]: Taking taylor expansion of 1.0 in k 5.933 * [taylor]: Taking taylor expansion of (log PI) in k 5.933 * [taylor]: Taking taylor expansion of PI in k 5.935 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 5.935 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 5.935 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 5.935 * [taylor]: Taking taylor expansion of 1.0 in k 5.935 * [taylor]: Taking taylor expansion of (log n) in k 5.935 * [taylor]: Taking taylor expansion of n in k 5.942 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 5.942 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 5.942 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 5.942 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 5.942 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 5.942 * [taylor]: Taking taylor expansion of 0.5 in k 5.942 * [taylor]: Taking taylor expansion of k in k 5.942 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 5.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 5.942 * [taylor]: Taking taylor expansion of 2.0 in k 5.942 * [taylor]: Taking taylor expansion of (/ PI n) in k 5.942 * [taylor]: Taking taylor expansion of PI in k 5.942 * [taylor]: Taking taylor expansion of n in k 5.946 * [taylor]: Taking taylor expansion of 0 in n 5.963 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 5.963 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 5.963 * [taylor]: Taking taylor expansion of +nan.0 in n 5.963 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 5.963 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.963 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.963 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.964 * [taylor]: Taking taylor expansion of 0.5 in n 5.964 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.964 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.964 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.964 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.964 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.964 * [taylor]: Taking taylor expansion of 1.0 in n 5.964 * [taylor]: Taking taylor expansion of (log PI) in n 5.964 * [taylor]: Taking taylor expansion of PI in n 5.966 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.966 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.966 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.966 * [taylor]: Taking taylor expansion of 1.0 in n 5.966 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.966 * [taylor]: Taking taylor expansion of 2.0 in n 5.967 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.967 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.967 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.967 * [taylor]: Taking taylor expansion of 1.0 in n 5.967 * [taylor]: Taking taylor expansion of (log n) in n 5.967 * [taylor]: Taking taylor expansion of n in n 5.975 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 5.975 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 5.975 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 5.975 * [taylor]: Taking taylor expansion of 0.5 in n 5.975 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 5.975 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 5.975 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 5.975 * [taylor]: Taking taylor expansion of 2.0 in n 5.975 * [taylor]: Taking taylor expansion of (/ PI n) in n 5.975 * [taylor]: Taking taylor expansion of PI in n 5.975 * [taylor]: Taking taylor expansion of n in n 5.976 * [taylor]: Taking taylor expansion of k in n 6.022 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 6.022 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 6.022 * [taylor]: Taking taylor expansion of +nan.0 in n 6.022 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 6.022 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 6.022 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 6.022 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 6.023 * [taylor]: Taking taylor expansion of 0.5 in n 6.023 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 6.023 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 6.023 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 6.023 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.023 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.023 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.023 * [taylor]: Taking taylor expansion of 1.0 in n 6.023 * [taylor]: Taking taylor expansion of (log PI) in n 6.023 * [taylor]: Taking taylor expansion of PI in n 6.025 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.025 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.025 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.025 * [taylor]: Taking taylor expansion of 1.0 in n 6.025 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.025 * [taylor]: Taking taylor expansion of 2.0 in n 6.026 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.026 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.026 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.026 * [taylor]: Taking taylor expansion of 1.0 in n 6.026 * [taylor]: Taking taylor expansion of (log n) in n 6.026 * [taylor]: Taking taylor expansion of n in n 6.033 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 6.033 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 6.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 6.033 * [taylor]: Taking taylor expansion of 0.5 in n 6.033 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 6.033 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.034 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.034 * [taylor]: Taking taylor expansion of 2.0 in n 6.034 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.034 * [taylor]: Taking taylor expansion of PI in n 6.034 * [taylor]: Taking taylor expansion of n in n 6.035 * [taylor]: Taking taylor expansion of k in n 6.113 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 6.113 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 6.113 * [taylor]: Taking taylor expansion of +nan.0 in n 6.113 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 6.113 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 6.113 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 6.113 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 6.113 * [taylor]: Taking taylor expansion of 0.5 in n 6.113 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 6.113 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 6.113 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 6.113 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.113 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.113 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.113 * [taylor]: Taking taylor expansion of 1.0 in n 6.113 * [taylor]: Taking taylor expansion of (log PI) in n 6.113 * [taylor]: Taking taylor expansion of PI in n 6.115 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.115 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.115 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.115 * [taylor]: Taking taylor expansion of 1.0 in n 6.115 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.115 * [taylor]: Taking taylor expansion of 2.0 in n 6.117 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.117 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.117 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.117 * [taylor]: Taking taylor expansion of 1.0 in n 6.117 * [taylor]: Taking taylor expansion of (log n) in n 6.117 * [taylor]: Taking taylor expansion of n in n 6.125 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 6.125 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 6.125 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 6.125 * [taylor]: Taking taylor expansion of 0.5 in n 6.125 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 6.125 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.125 * [taylor]: Taking taylor expansion of 2.0 in n 6.125 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.125 * [taylor]: Taking taylor expansion of PI in n 6.125 * [taylor]: Taking taylor expansion of n in n 6.126 * [taylor]: Taking taylor expansion of k in n 6.147 * [approximate]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in (k n) around 0 6.147 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 6.147 * [taylor]: Taking taylor expansion of 1.0 in n 6.147 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 6.147 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 6.147 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 6.147 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.147 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.147 * [taylor]: Taking taylor expansion of -1 in n 6.147 * [taylor]: Taking taylor expansion of k in n 6.147 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 6.147 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 6.147 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 6.147 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 6.148 * [taylor]: Taking taylor expansion of -0.5 in n 6.148 * [taylor]: Taking taylor expansion of k in n 6.148 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.148 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.148 * [taylor]: Taking taylor expansion of -2.0 in n 6.148 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.148 * [taylor]: Taking taylor expansion of PI in n 6.148 * [taylor]: Taking taylor expansion of n in n 6.153 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 6.153 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 6.153 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 6.153 * [taylor]: Taking taylor expansion of 0.5 in n 6.153 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 6.153 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 6.153 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 6.153 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 6.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 6.153 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 6.153 * [taylor]: Taking taylor expansion of 1.0 in n 6.153 * [taylor]: Taking taylor expansion of (log -2.0) in n 6.153 * [taylor]: Taking taylor expansion of -2.0 in n 6.155 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.155 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.155 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.155 * [taylor]: Taking taylor expansion of 1.0 in n 6.155 * [taylor]: Taking taylor expansion of (log PI) in n 6.155 * [taylor]: Taking taylor expansion of PI in n 6.157 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.157 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.157 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.157 * [taylor]: Taking taylor expansion of 1.0 in n 6.157 * [taylor]: Taking taylor expansion of (log n) in n 6.157 * [taylor]: Taking taylor expansion of n in n 6.164 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 6.164 * [taylor]: Taking taylor expansion of 1.0 in k 6.164 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 6.164 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 6.164 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 6.164 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.164 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.164 * [taylor]: Taking taylor expansion of -1 in k 6.164 * [taylor]: Taking taylor expansion of k in k 6.165 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 6.165 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 6.165 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 6.165 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 6.165 * [taylor]: Taking taylor expansion of -0.5 in k 6.165 * [taylor]: Taking taylor expansion of k in k 6.166 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.166 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.166 * [taylor]: Taking taylor expansion of -2.0 in k 6.166 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.166 * [taylor]: Taking taylor expansion of PI in k 6.166 * [taylor]: Taking taylor expansion of n in k 6.167 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 6.167 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 6.167 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 6.167 * [taylor]: Taking taylor expansion of 0.5 in k 6.167 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 6.167 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 6.167 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 6.167 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 6.172 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 6.172 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 6.172 * [taylor]: Taking taylor expansion of 1.0 in k 6.172 * [taylor]: Taking taylor expansion of (log -2.0) in k 6.172 * [taylor]: Taking taylor expansion of -2.0 in k 6.175 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 6.175 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 6.175 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 6.175 * [taylor]: Taking taylor expansion of 1.0 in k 6.175 * [taylor]: Taking taylor expansion of (log PI) in k 6.175 * [taylor]: Taking taylor expansion of PI in k 6.177 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 6.177 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 6.177 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 6.177 * [taylor]: Taking taylor expansion of 1.0 in k 6.177 * [taylor]: Taking taylor expansion of (log n) in k 6.177 * [taylor]: Taking taylor expansion of n in k 6.184 * [taylor]: Taking taylor expansion of (* 1.0 (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in k 6.184 * [taylor]: Taking taylor expansion of 1.0 in k 6.184 * [taylor]: Taking taylor expansion of (* (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in k 6.184 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 6.184 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 6.184 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.184 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.184 * [taylor]: Taking taylor expansion of -1 in k 6.184 * [taylor]: Taking taylor expansion of k in k 6.185 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 6.185 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 6.185 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 6.185 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 6.185 * [taylor]: Taking taylor expansion of -0.5 in k 6.185 * [taylor]: Taking taylor expansion of k in k 6.186 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.186 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.186 * [taylor]: Taking taylor expansion of -2.0 in k 6.186 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.186 * [taylor]: Taking taylor expansion of PI in k 6.186 * [taylor]: Taking taylor expansion of n in k 6.187 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 6.187 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 6.187 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 6.187 * [taylor]: Taking taylor expansion of 0.5 in k 6.187 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 6.187 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 6.187 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 6.187 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 6.187 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 6.187 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 6.187 * [taylor]: Taking taylor expansion of 1.0 in k 6.187 * [taylor]: Taking taylor expansion of (log -2.0) in k 6.187 * [taylor]: Taking taylor expansion of -2.0 in k 6.189 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 6.189 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 6.189 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 6.189 * [taylor]: Taking taylor expansion of 1.0 in k 6.189 * [taylor]: Taking taylor expansion of (log PI) in k 6.189 * [taylor]: Taking taylor expansion of PI in k 6.191 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 6.191 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 6.191 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 6.191 * [taylor]: Taking taylor expansion of 1.0 in k 6.191 * [taylor]: Taking taylor expansion of (log n) in k 6.191 * [taylor]: Taking taylor expansion of n in k 6.201 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 6.201 * [taylor]: Taking taylor expansion of +nan.0 in n 6.201 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 6.201 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 6.201 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 6.201 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 6.201 * [taylor]: Taking taylor expansion of -0.5 in n 6.201 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 6.201 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.201 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.201 * [taylor]: Taking taylor expansion of -2.0 in n 6.201 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.201 * [taylor]: Taking taylor expansion of PI in n 6.201 * [taylor]: Taking taylor expansion of n in n 6.202 * [taylor]: Taking taylor expansion of k in n 6.207 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 6.207 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 6.207 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 6.207 * [taylor]: Taking taylor expansion of 0.5 in n 6.207 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 6.207 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 6.207 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 6.207 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 6.207 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 6.207 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 6.207 * [taylor]: Taking taylor expansion of 1.0 in n 6.207 * [taylor]: Taking taylor expansion of (log -2.0) in n 6.207 * [taylor]: Taking taylor expansion of -2.0 in n 6.209 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.209 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.209 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.209 * [taylor]: Taking taylor expansion of 1.0 in n 6.209 * [taylor]: Taking taylor expansion of (log PI) in n 6.209 * [taylor]: Taking taylor expansion of PI in n 6.211 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.211 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.211 * [taylor]: Taking taylor expansion of 1.0 in n 6.211 * [taylor]: Taking taylor expansion of (log n) in n 6.211 * [taylor]: Taking taylor expansion of n in n 6.246 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 6.246 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 6.246 * [taylor]: Taking taylor expansion of +nan.0 in n 6.246 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 6.246 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 6.246 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 6.246 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 6.246 * [taylor]: Taking taylor expansion of -0.5 in n 6.246 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 6.246 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.246 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.246 * [taylor]: Taking taylor expansion of -2.0 in n 6.246 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.246 * [taylor]: Taking taylor expansion of PI in n 6.247 * [taylor]: Taking taylor expansion of n in n 6.248 * [taylor]: Taking taylor expansion of k in n 6.252 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 6.252 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 6.252 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 6.252 * [taylor]: Taking taylor expansion of 0.5 in n 6.252 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 6.252 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 6.253 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 6.253 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 6.253 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 6.253 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 6.253 * [taylor]: Taking taylor expansion of 1.0 in n 6.253 * [taylor]: Taking taylor expansion of (log -2.0) in n 6.253 * [taylor]: Taking taylor expansion of -2.0 in n 6.254 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.254 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.254 * [taylor]: Taking taylor expansion of 1.0 in n 6.254 * [taylor]: Taking taylor expansion of (log PI) in n 6.254 * [taylor]: Taking taylor expansion of PI in n 6.256 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.256 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.256 * [taylor]: Taking taylor expansion of 1.0 in n 6.256 * [taylor]: Taking taylor expansion of (log n) in n 6.256 * [taylor]: Taking taylor expansion of n in n 6.332 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)))) in n 6.332 * [taylor]: Taking taylor expansion of (* +nan.0 (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5))) in n 6.332 * [taylor]: Taking taylor expansion of +nan.0 in n 6.332 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5)) in n 6.332 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 6.332 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 6.332 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 6.332 * [taylor]: Taking taylor expansion of -0.5 in n 6.332 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 6.332 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.332 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.332 * [taylor]: Taking taylor expansion of -2.0 in n 6.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.332 * [taylor]: Taking taylor expansion of PI in n 6.332 * [taylor]: Taking taylor expansion of n in n 6.334 * [taylor]: Taking taylor expansion of k in n 6.338 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 6.338 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 6.338 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 6.338 * [taylor]: Taking taylor expansion of 0.5 in n 6.338 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 6.338 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 6.338 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 6.338 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 6.338 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 6.338 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 6.338 * [taylor]: Taking taylor expansion of 1.0 in n 6.338 * [taylor]: Taking taylor expansion of (log -2.0) in n 6.339 * [taylor]: Taking taylor expansion of -2.0 in n 6.340 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.340 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.340 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.340 * [taylor]: Taking taylor expansion of 1.0 in n 6.340 * [taylor]: Taking taylor expansion of (log PI) in n 6.340 * [taylor]: Taking taylor expansion of PI in n 6.342 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.342 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.342 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.342 * [taylor]: Taking taylor expansion of 1.0 in n 6.342 * [taylor]: Taking taylor expansion of (log n) in n 6.342 * [taylor]: Taking taylor expansion of n in n 6.371 * * * [progress]: simplifying candidates 6.375 * [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 (* (* 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 (* (* 2.0 PI) n)) (log1p (* (* 2.0 PI) n)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (expm1 (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log1p (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 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n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (- (log 1.0) (log (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (- (log 1.0) (log (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (* 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(log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (+ (log (/ 1.0 (sqrt k))) (- (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (+ (log (/ 1.0 (sqrt k))) (log (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (/ (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (/ (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (* (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (* (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 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 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (sqrt (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (sqrt (/ 1.0 (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (sqrt (/ 1.0 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(pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))))) 6.391 * * [simplify]: iteration 0 : 1308 enodes (cost 2682 ) 6.411 * * [simplify]: iteration 1 : 5001 enodes (cost 2469 ) 6.422 * [simplify]: Simplified to: (expm1 (/ 1.0 (sqrt k))) (log1p (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (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)) (/ (cbrt 1.0) (sqrt k)) (/ 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PI) n) (/ 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 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (- (* +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))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 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 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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))) (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 (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (fma +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))) (fma +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))) 6.423 * * * [progress]: adding candidates to table 6.989 * [progress]: [Phase 3 of 3] Extracting. 6.989 * * [regime]: Finding splitpoints for: (# # # # # # # #) 6.992 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 6.992 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # #) 7.028 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 7.065 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 7.097 * * * [regime]: Found split indices: #