14.267 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.144 * * * [progress]: [2/2] Setting up program. 0.147 * [progress]: [Phase 2 of 3] Improving. 0.147 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.149 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.151 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.152 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.155 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.160 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.183 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.183 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.184 * * [progress]: iteration 1 / 4 0.184 * * * [progress]: picking best candidate 0.186 * * * * [pick]: Picked # 0.186 * * * [progress]: localizing error 0.205 * * * [progress]: generating rewritten candidates 0.205 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.222 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 0.231 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.234 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.246 * * * [progress]: generating series expansions 0.246 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.247 * [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 0.247 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.247 * [taylor]: Taking taylor expansion of 1.0 in n 0.247 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.247 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.247 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.247 * [taylor]: Taking taylor expansion of k in n 0.247 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.247 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.247 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.247 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.247 * [taylor]: Taking taylor expansion of 0.5 in n 0.247 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.248 * [taylor]: Taking taylor expansion of 1.0 in n 0.248 * [taylor]: Taking taylor expansion of k in n 0.248 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.248 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.248 * [taylor]: Taking taylor expansion of 2.0 in n 0.248 * [taylor]: Taking taylor expansion of (* n PI) in n 0.248 * [taylor]: Taking taylor expansion of n in n 0.248 * [taylor]: Taking taylor expansion of PI in n 0.253 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.253 * [taylor]: Taking taylor expansion of 1.0 in k 0.253 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.253 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.253 * [taylor]: Taking taylor expansion of k in k 0.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.255 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.255 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.255 * [taylor]: Taking taylor expansion of 0.5 in k 0.255 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.255 * [taylor]: Taking taylor expansion of 1.0 in k 0.255 * [taylor]: Taking taylor expansion of k in k 0.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.255 * [taylor]: Taking taylor expansion of 2.0 in k 0.255 * [taylor]: Taking taylor expansion of (* n PI) in k 0.255 * [taylor]: Taking taylor expansion of n in k 0.255 * [taylor]: Taking taylor expansion of PI in k 0.256 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.256 * [taylor]: Taking taylor expansion of 1.0 in k 0.256 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.256 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.256 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.256 * [taylor]: Taking taylor expansion of k in k 0.257 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.257 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.257 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.257 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.257 * [taylor]: Taking taylor expansion of 0.5 in k 0.257 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.257 * [taylor]: Taking taylor expansion of 1.0 in k 0.257 * [taylor]: Taking taylor expansion of k in k 0.257 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.257 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.257 * [taylor]: Taking taylor expansion of 2.0 in k 0.257 * [taylor]: Taking taylor expansion of (* n PI) in k 0.257 * [taylor]: Taking taylor expansion of n in k 0.257 * [taylor]: Taking taylor expansion of PI in k 0.259 * [taylor]: Taking taylor expansion of 0 in n 0.264 * [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 0.264 * [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 0.264 * [taylor]: Taking taylor expansion of +nan.0 in n 0.265 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.265 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.265 * [taylor]: Taking taylor expansion of 0.5 in n 0.265 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.265 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.265 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.265 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.265 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.265 * [taylor]: Taking taylor expansion of 1.0 in n 0.265 * [taylor]: Taking taylor expansion of (log PI) in n 0.265 * [taylor]: Taking taylor expansion of PI in n 0.266 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.267 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.267 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.267 * [taylor]: Taking taylor expansion of 1.0 in n 0.267 * [taylor]: Taking taylor expansion of (log n) in n 0.267 * [taylor]: Taking taylor expansion of n in n 0.267 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.267 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.267 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.267 * [taylor]: Taking taylor expansion of 1.0 in n 0.267 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.267 * [taylor]: Taking taylor expansion of 2.0 in n 0.292 * [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 0.292 * [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 0.292 * [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 0.292 * [taylor]: Taking taylor expansion of +nan.0 in n 0.292 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.292 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.292 * [taylor]: Taking taylor expansion of 0.5 in n 0.292 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.292 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.292 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.292 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.292 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.292 * [taylor]: Taking taylor expansion of 1.0 in n 0.292 * [taylor]: Taking taylor expansion of (log PI) in n 0.292 * [taylor]: Taking taylor expansion of PI in n 0.294 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.294 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.294 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.294 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.294 * [taylor]: Taking taylor expansion of 1.0 in n 0.294 * [taylor]: Taking taylor expansion of (log n) in n 0.294 * [taylor]: Taking taylor expansion of n in n 0.295 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.295 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.295 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.295 * [taylor]: Taking taylor expansion of 1.0 in n 0.295 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.295 * [taylor]: Taking taylor expansion of 2.0 in n 0.300 * [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 0.300 * [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 0.300 * [taylor]: Taking taylor expansion of +nan.0 in n 0.300 * [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 0.300 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.300 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.300 * [taylor]: Taking taylor expansion of 0.5 in n 0.300 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.300 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.300 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.300 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.300 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.300 * [taylor]: Taking taylor expansion of 1.0 in n 0.300 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.300 * [taylor]: Taking taylor expansion of 2.0 in n 0.302 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.302 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.302 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.302 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.302 * [taylor]: Taking taylor expansion of 1.0 in n 0.302 * [taylor]: Taking taylor expansion of (log PI) in n 0.302 * [taylor]: Taking taylor expansion of PI in n 0.304 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.304 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.304 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.304 * [taylor]: Taking taylor expansion of 1.0 in n 0.304 * [taylor]: Taking taylor expansion of (log n) in n 0.304 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.308 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.308 * [taylor]: Taking taylor expansion of 2.0 in n 0.308 * [taylor]: Taking taylor expansion of (* n PI) in n 0.308 * [taylor]: Taking taylor expansion of n in n 0.308 * [taylor]: Taking taylor expansion of PI in n 0.357 * [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 0.357 * [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 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of +nan.0 in n 0.357 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.357 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.357 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.357 * [taylor]: Taking taylor expansion of 0.5 in n 0.357 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.357 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.357 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.357 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.357 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.357 * [taylor]: Taking taylor expansion of 1.0 in n 0.357 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.357 * [taylor]: Taking taylor expansion of 2.0 in n 0.359 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.359 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.359 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.359 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.359 * [taylor]: Taking taylor expansion of 1.0 in n 0.359 * [taylor]: Taking taylor expansion of (log n) in n 0.359 * [taylor]: Taking taylor expansion of n in n 0.360 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.360 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.360 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.360 * [taylor]: Taking taylor expansion of 1.0 in n 0.360 * [taylor]: Taking taylor expansion of (log PI) in n 0.360 * [taylor]: Taking taylor expansion of PI in n 0.365 * [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 0.365 * [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 0.365 * [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 0.365 * [taylor]: Taking taylor expansion of +nan.0 in n 0.365 * [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 0.365 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.365 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.365 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.365 * [taylor]: Taking taylor expansion of 0.5 in n 0.366 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.366 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 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 0.367 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.367 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.367 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.367 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.367 * [taylor]: Taking taylor expansion of 1.0 in n 0.367 * [taylor]: Taking taylor expansion of (log PI) in n 0.367 * [taylor]: Taking taylor expansion of PI in n 0.369 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.369 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.369 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.369 * [taylor]: Taking taylor expansion of 1.0 in n 0.369 * [taylor]: Taking taylor expansion of (log n) in n 0.369 * [taylor]: Taking taylor expansion of n in n 0.373 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.373 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.373 * [taylor]: Taking taylor expansion of 2.0 in n 0.373 * [taylor]: Taking taylor expansion of (* n PI) in n 0.373 * [taylor]: Taking taylor expansion of n in n 0.374 * [taylor]: Taking taylor expansion of PI in n 0.382 * [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 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of +nan.0 in n 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.382 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.382 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.382 * [taylor]: Taking taylor expansion of 0.5 in n 0.382 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.382 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.382 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.382 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.382 * [taylor]: Taking taylor expansion of 1.0 in n 0.382 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.382 * [taylor]: Taking taylor expansion of 2.0 in n 0.384 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.384 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.384 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.384 * [taylor]: Taking taylor expansion of 1.0 in n 0.384 * [taylor]: Taking taylor expansion of (log PI) in n 0.384 * [taylor]: Taking taylor expansion of PI in n 0.386 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.386 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.386 * [taylor]: Taking taylor expansion of 1.0 in n 0.386 * [taylor]: Taking taylor expansion of (log n) in n 0.386 * [taylor]: Taking taylor expansion of n in n 0.390 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.390 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.390 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.390 * [taylor]: Taking taylor expansion of 2.0 in n 0.390 * [taylor]: Taking taylor expansion of (* n PI) in n 0.390 * [taylor]: Taking taylor expansion of n in n 0.390 * [taylor]: Taking taylor expansion of PI in n 0.469 * [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 0.469 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.469 * [taylor]: Taking taylor expansion of 1.0 in n 0.469 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.469 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.469 * [taylor]: Taking taylor expansion of k in n 0.469 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.469 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.469 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.469 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.469 * [taylor]: Taking taylor expansion of 0.5 in n 0.469 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.469 * [taylor]: Taking taylor expansion of 1.0 in n 0.469 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.469 * [taylor]: Taking taylor expansion of k in n 0.469 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.469 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.469 * [taylor]: Taking taylor expansion of 2.0 in n 0.469 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.469 * [taylor]: Taking taylor expansion of PI in n 0.469 * [taylor]: Taking taylor expansion of n in n 0.473 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.473 * [taylor]: Taking taylor expansion of 1.0 in k 0.473 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.473 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.473 * [taylor]: Taking taylor expansion of k in k 0.474 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.474 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.474 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.474 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.474 * [taylor]: Taking taylor expansion of 0.5 in k 0.474 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.474 * [taylor]: Taking taylor expansion of 1.0 in k 0.474 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.474 * [taylor]: Taking taylor expansion of k in k 0.474 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.474 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.474 * [taylor]: Taking taylor expansion of 2.0 in k 0.475 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.475 * [taylor]: Taking taylor expansion of PI in k 0.475 * [taylor]: Taking taylor expansion of n in k 0.476 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.476 * [taylor]: Taking taylor expansion of 1.0 in k 0.476 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.476 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.476 * [taylor]: Taking taylor expansion of k in k 0.477 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.477 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.477 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.477 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.477 * [taylor]: Taking taylor expansion of 0.5 in k 0.477 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.477 * [taylor]: Taking taylor expansion of 1.0 in k 0.477 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.477 * [taylor]: Taking taylor expansion of k in k 0.477 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.477 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.477 * [taylor]: Taking taylor expansion of 2.0 in k 0.477 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.477 * [taylor]: Taking taylor expansion of PI in k 0.477 * [taylor]: Taking taylor expansion of n in k 0.479 * [taylor]: Taking taylor expansion of 0 in n 0.480 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.480 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.480 * [taylor]: Taking taylor expansion of +nan.0 in n 0.480 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.480 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.480 * [taylor]: Taking taylor expansion of 0.5 in n 0.480 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.480 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.480 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.480 * [taylor]: Taking taylor expansion of 2.0 in n 0.480 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.480 * [taylor]: Taking taylor expansion of PI in n 0.480 * [taylor]: Taking taylor expansion of n in n 0.481 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.481 * [taylor]: Taking taylor expansion of 1.0 in n 0.481 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.481 * [taylor]: Taking taylor expansion of k in n 0.489 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.489 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.489 * [taylor]: Taking taylor expansion of +nan.0 in n 0.489 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.489 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.489 * [taylor]: Taking taylor expansion of 0.5 in n 0.489 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.489 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.489 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.489 * [taylor]: Taking taylor expansion of 2.0 in n 0.490 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.490 * [taylor]: Taking taylor expansion of PI in n 0.490 * [taylor]: Taking taylor expansion of n in n 0.491 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.491 * [taylor]: Taking taylor expansion of 1.0 in n 0.491 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.491 * [taylor]: Taking taylor expansion of k in n 0.507 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.508 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.508 * [taylor]: Taking taylor expansion of +nan.0 in n 0.508 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.508 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.508 * [taylor]: Taking taylor expansion of 0.5 in n 0.508 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.508 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.508 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.508 * [taylor]: Taking taylor expansion of 2.0 in n 0.508 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.508 * [taylor]: Taking taylor expansion of PI in n 0.508 * [taylor]: Taking taylor expansion of n in n 0.509 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.509 * [taylor]: Taking taylor expansion of 1.0 in n 0.509 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.509 * [taylor]: Taking taylor expansion of k in n 0.518 * [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 0.518 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.518 * [taylor]: Taking taylor expansion of 1.0 in n 0.518 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.518 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.518 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.518 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.518 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.518 * [taylor]: Taking taylor expansion of 0.5 in n 0.518 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.518 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.518 * [taylor]: Taking taylor expansion of k in n 0.518 * [taylor]: Taking taylor expansion of 1.0 in n 0.518 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.518 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.518 * [taylor]: Taking taylor expansion of -2.0 in n 0.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.518 * [taylor]: Taking taylor expansion of PI in n 0.518 * [taylor]: Taking taylor expansion of n in n 0.522 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.522 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.522 * [taylor]: Taking taylor expansion of -1 in n 0.522 * [taylor]: Taking taylor expansion of k in n 0.522 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.523 * [taylor]: Taking taylor expansion of 1.0 in k 0.523 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.523 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.523 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.523 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.523 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.523 * [taylor]: Taking taylor expansion of 0.5 in k 0.523 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.523 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.523 * [taylor]: Taking taylor expansion of k in k 0.523 * [taylor]: Taking taylor expansion of 1.0 in k 0.523 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.523 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.523 * [taylor]: Taking taylor expansion of -2.0 in k 0.523 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.523 * [taylor]: Taking taylor expansion of PI in k 0.523 * [taylor]: Taking taylor expansion of n in k 0.524 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.524 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.524 * [taylor]: Taking taylor expansion of -1 in k 0.524 * [taylor]: Taking taylor expansion of k in k 0.525 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.525 * [taylor]: Taking taylor expansion of 1.0 in k 0.525 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.525 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.525 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.525 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.525 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.525 * [taylor]: Taking taylor expansion of 0.5 in k 0.526 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.526 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.526 * [taylor]: Taking taylor expansion of k in k 0.526 * [taylor]: Taking taylor expansion of 1.0 in k 0.526 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.526 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.526 * [taylor]: Taking taylor expansion of -2.0 in k 0.526 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.526 * [taylor]: Taking taylor expansion of PI in k 0.526 * [taylor]: Taking taylor expansion of n in k 0.527 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.527 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.527 * [taylor]: Taking taylor expansion of -1 in k 0.527 * [taylor]: Taking taylor expansion of k in k 0.528 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.528 * [taylor]: Taking taylor expansion of +nan.0 in n 0.528 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.528 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.528 * [taylor]: Taking taylor expansion of 0.5 in n 0.528 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.529 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.529 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.529 * [taylor]: Taking taylor expansion of k in n 0.529 * [taylor]: Taking taylor expansion of 1.0 in n 0.529 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.529 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.529 * [taylor]: Taking taylor expansion of -2.0 in n 0.529 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.529 * [taylor]: Taking taylor expansion of PI in n 0.529 * [taylor]: Taking taylor expansion of n in n 0.537 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.538 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.538 * [taylor]: Taking taylor expansion of +nan.0 in n 0.538 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.538 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.538 * [taylor]: Taking taylor expansion of 0.5 in n 0.538 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.538 * [taylor]: Taking taylor expansion of k in n 0.538 * [taylor]: Taking taylor expansion of 1.0 in n 0.538 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.538 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.538 * [taylor]: Taking taylor expansion of -2.0 in n 0.538 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.538 * [taylor]: Taking taylor expansion of PI in n 0.538 * [taylor]: Taking taylor expansion of n in n 0.561 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.561 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.561 * [taylor]: Taking taylor expansion of +nan.0 in n 0.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.562 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.562 * [taylor]: Taking taylor expansion of 0.5 in n 0.562 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.562 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.562 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.562 * [taylor]: Taking taylor expansion of k in n 0.562 * [taylor]: Taking taylor expansion of 1.0 in n 0.562 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.562 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.562 * [taylor]: Taking taylor expansion of -2.0 in n 0.562 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.562 * [taylor]: Taking taylor expansion of PI in n 0.562 * [taylor]: Taking taylor expansion of n in n 0.571 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 0.572 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.572 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.572 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.572 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.572 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.572 * [taylor]: Taking taylor expansion of 0.5 in k 0.572 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.572 * [taylor]: Taking taylor expansion of 1.0 in k 0.572 * [taylor]: Taking taylor expansion of k in k 0.572 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.572 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.572 * [taylor]: Taking taylor expansion of 2.0 in k 0.572 * [taylor]: Taking taylor expansion of (* n PI) in k 0.572 * [taylor]: Taking taylor expansion of n in k 0.572 * [taylor]: Taking taylor expansion of PI in k 0.573 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.573 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.573 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.573 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.573 * [taylor]: Taking taylor expansion of 0.5 in n 0.573 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.573 * [taylor]: Taking taylor expansion of 1.0 in n 0.573 * [taylor]: Taking taylor expansion of k in n 0.573 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.573 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.573 * [taylor]: Taking taylor expansion of 2.0 in n 0.573 * [taylor]: Taking taylor expansion of (* n PI) in n 0.573 * [taylor]: Taking taylor expansion of n in n 0.573 * [taylor]: Taking taylor expansion of PI in n 0.579 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.579 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.579 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.579 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.579 * [taylor]: Taking taylor expansion of 0.5 in n 0.579 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.579 * [taylor]: Taking taylor expansion of 1.0 in n 0.579 * [taylor]: Taking taylor expansion of k in n 0.579 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.579 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.579 * [taylor]: Taking taylor expansion of 2.0 in n 0.579 * [taylor]: Taking taylor expansion of (* n PI) in n 0.579 * [taylor]: Taking taylor expansion of n in n 0.579 * [taylor]: Taking taylor expansion of PI in n 0.584 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.584 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.584 * [taylor]: Taking taylor expansion of 0.5 in k 0.584 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.584 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.584 * [taylor]: Taking taylor expansion of 1.0 in k 0.584 * [taylor]: Taking taylor expansion of k in k 0.584 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.584 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.584 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.584 * [taylor]: Taking taylor expansion of 2.0 in k 0.584 * [taylor]: Taking taylor expansion of PI in k 0.585 * [taylor]: Taking taylor expansion of (log n) in k 0.585 * [taylor]: Taking taylor expansion of n in k 0.595 * [taylor]: Taking taylor expansion of 0 in k 0.610 * [taylor]: Taking taylor expansion of 0 in k 0.628 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.628 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.628 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.628 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.629 * [taylor]: Taking taylor expansion of 0.5 in k 0.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.629 * [taylor]: Taking taylor expansion of 1.0 in k 0.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.629 * [taylor]: Taking taylor expansion of k in k 0.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.629 * [taylor]: Taking taylor expansion of 2.0 in k 0.629 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.629 * [taylor]: Taking taylor expansion of PI in k 0.629 * [taylor]: Taking taylor expansion of n in k 0.630 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.630 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.630 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.630 * [taylor]: Taking taylor expansion of 0.5 in n 0.630 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.630 * [taylor]: Taking taylor expansion of 1.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.630 * [taylor]: Taking taylor expansion of k in n 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.630 * [taylor]: Taking taylor expansion of 2.0 in n 0.630 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.630 * [taylor]: Taking taylor expansion of PI in n 0.630 * [taylor]: Taking taylor expansion of n in n 0.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.634 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.634 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.634 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.634 * [taylor]: Taking taylor expansion of 0.5 in n 0.634 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.634 * [taylor]: Taking taylor expansion of 1.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.634 * [taylor]: Taking taylor expansion of k in n 0.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.634 * [taylor]: Taking taylor expansion of 2.0 in n 0.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.634 * [taylor]: Taking taylor expansion of PI in n 0.634 * [taylor]: Taking taylor expansion of n in n 0.638 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.638 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.638 * [taylor]: Taking taylor expansion of 0.5 in k 0.638 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.638 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.638 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.638 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.638 * [taylor]: Taking taylor expansion of 2.0 in k 0.638 * [taylor]: Taking taylor expansion of PI in k 0.639 * [taylor]: Taking taylor expansion of (log n) in k 0.639 * [taylor]: Taking taylor expansion of n in k 0.639 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.639 * [taylor]: Taking taylor expansion of 1.0 in k 0.639 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.639 * [taylor]: Taking taylor expansion of k in k 0.655 * [taylor]: Taking taylor expansion of 0 in k 0.662 * [taylor]: Taking taylor expansion of 0 in k 0.671 * [taylor]: Taking taylor expansion of 0 in k 0.672 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.672 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.672 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.672 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.672 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.672 * [taylor]: Taking taylor expansion of 0.5 in k 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.672 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.672 * [taylor]: Taking taylor expansion of k in k 0.673 * [taylor]: Taking taylor expansion of 1.0 in k 0.673 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.673 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.673 * [taylor]: Taking taylor expansion of -2.0 in k 0.673 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.673 * [taylor]: Taking taylor expansion of PI in k 0.673 * [taylor]: Taking taylor expansion of n in k 0.674 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.674 * [taylor]: Taking taylor expansion of 0.5 in n 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.674 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.674 * [taylor]: Taking taylor expansion of k in n 0.674 * [taylor]: Taking taylor expansion of 1.0 in n 0.674 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.674 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.674 * [taylor]: Taking taylor expansion of -2.0 in n 0.674 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.674 * [taylor]: Taking taylor expansion of PI in n 0.674 * [taylor]: Taking taylor expansion of n in n 0.677 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.677 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.677 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.677 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.678 * [taylor]: Taking taylor expansion of 0.5 in n 0.678 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.678 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.678 * [taylor]: Taking taylor expansion of k in n 0.678 * [taylor]: Taking taylor expansion of 1.0 in n 0.678 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.678 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.678 * [taylor]: Taking taylor expansion of -2.0 in n 0.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.678 * [taylor]: Taking taylor expansion of PI in n 0.678 * [taylor]: Taking taylor expansion of n in n 0.681 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.681 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.681 * [taylor]: Taking taylor expansion of 0.5 in k 0.681 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.681 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.681 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.681 * [taylor]: Taking taylor expansion of k in k 0.682 * [taylor]: Taking taylor expansion of 1.0 in k 0.682 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.682 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.682 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.682 * [taylor]: Taking taylor expansion of -2.0 in k 0.682 * [taylor]: Taking taylor expansion of PI in k 0.683 * [taylor]: Taking taylor expansion of (log n) in k 0.683 * [taylor]: Taking taylor expansion of n in k 0.692 * [taylor]: Taking taylor expansion of 0 in k 0.699 * [taylor]: Taking taylor expansion of 0 in k 0.707 * [taylor]: Taking taylor expansion of 0 in k 0.708 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.708 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.708 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.708 * [taylor]: Taking taylor expansion of 1.0 in k 0.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.708 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.708 * [taylor]: Taking taylor expansion of k in k 0.710 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.710 * [taylor]: Taking taylor expansion of 1.0 in k 0.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.710 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.710 * [taylor]: Taking taylor expansion of k in k 0.720 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.720 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.720 * [taylor]: Taking taylor expansion of 1.0 in k 0.720 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.721 * [taylor]: Taking taylor expansion of k in k 0.722 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.722 * [taylor]: Taking taylor expansion of 1.0 in k 0.722 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.722 * [taylor]: Taking taylor expansion of k in k 0.739 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.739 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.739 * [taylor]: Taking taylor expansion of 1.0 in k 0.739 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.739 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.739 * [taylor]: Taking taylor expansion of -1 in k 0.739 * [taylor]: Taking taylor expansion of k in k 0.740 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.740 * [taylor]: Taking taylor expansion of 1.0 in k 0.740 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.740 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.740 * [taylor]: Taking taylor expansion of -1 in k 0.740 * [taylor]: Taking taylor expansion of k in k 0.752 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 0.752 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.753 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.753 * [taylor]: Taking taylor expansion of 2.0 in n 0.753 * [taylor]: Taking taylor expansion of (* n PI) in n 0.753 * [taylor]: Taking taylor expansion of n in n 0.753 * [taylor]: Taking taylor expansion of PI in n 0.753 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.753 * [taylor]: Taking taylor expansion of 2.0 in n 0.753 * [taylor]: Taking taylor expansion of (* n PI) in n 0.753 * [taylor]: Taking taylor expansion of n in n 0.753 * [taylor]: Taking taylor expansion of PI in n 0.765 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.765 * [taylor]: Taking taylor expansion of 2.0 in n 0.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.765 * [taylor]: Taking taylor expansion of PI in n 0.765 * [taylor]: Taking taylor expansion of n in n 0.765 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.765 * [taylor]: Taking taylor expansion of 2.0 in n 0.765 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.765 * [taylor]: Taking taylor expansion of PI in n 0.765 * [taylor]: Taking taylor expansion of n in n 0.774 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.774 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.774 * [taylor]: Taking taylor expansion of -2.0 in n 0.774 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.774 * [taylor]: Taking taylor expansion of PI in n 0.774 * [taylor]: Taking taylor expansion of n in n 0.775 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.775 * [taylor]: Taking taylor expansion of -2.0 in n 0.775 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.775 * [taylor]: Taking taylor expansion of PI in n 0.775 * [taylor]: Taking taylor expansion of n in n 0.783 * * * [progress]: simplifying candidates 0.785 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) 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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)) (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)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))))) (+ (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)))) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (+ (- (* +nan.0 k)) (- (* +nan.0 (pow k 2)) +nan.0)) (+ (* +nan.0 (- (/ 1 k) (/ 1 (pow k 3)))) (/ (- +nan.0) (pow k 2))) (+ (- (* +nan.0 (/ 1 k)) +nan.0) (/ (- +nan.0) (pow k 2))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 0.883 * * * [progress]: adding candidates to table 1.275 * * [progress]: iteration 2 / 4 1.275 * * * [progress]: picking best candidate 1.317 * * * * [pick]: Picked # 1.317 * * * [progress]: localizing error 1.336 * * * [progress]: generating rewritten candidates 1.336 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.346 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.352 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.359 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.375 * * * [progress]: generating series expansions 1.375 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.377 * [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 1.377 * [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 1.377 * [taylor]: Taking taylor expansion of 1.0 in k 1.377 * [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 1.377 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.377 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.377 * [taylor]: Taking taylor expansion of k in k 1.378 * [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 1.378 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.378 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.378 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.378 * [taylor]: Taking taylor expansion of 0.5 in k 1.378 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.378 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.378 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.378 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.379 * [taylor]: Taking taylor expansion of 1.0 in k 1.379 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.379 * [taylor]: Taking taylor expansion of 2.0 in k 1.380 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.380 * [taylor]: Taking taylor expansion of 1.0 in k 1.380 * [taylor]: Taking taylor expansion of (log n) in k 1.380 * [taylor]: Taking taylor expansion of n in k 1.380 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.381 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.381 * [taylor]: Taking taylor expansion of 1.0 in k 1.381 * [taylor]: Taking taylor expansion of (log PI) in k 1.381 * [taylor]: Taking taylor expansion of PI in k 1.386 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.386 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.386 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.386 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.386 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.386 * [taylor]: Taking taylor expansion of 0.5 in k 1.386 * [taylor]: Taking taylor expansion of k in k 1.386 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.386 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.386 * [taylor]: Taking taylor expansion of 2.0 in k 1.386 * [taylor]: Taking taylor expansion of (* n PI) in k 1.386 * [taylor]: Taking taylor expansion of n in k 1.386 * [taylor]: Taking taylor expansion of PI in k 1.389 * [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 1.389 * [taylor]: Taking taylor expansion of 1.0 in n 1.389 * [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 1.389 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.389 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.389 * [taylor]: Taking taylor expansion of k in n 1.389 * [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 1.389 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.389 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.389 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.389 * [taylor]: Taking taylor expansion of 0.5 in n 1.389 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.389 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.389 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.389 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.389 * [taylor]: Taking taylor expansion of 1.0 in n 1.389 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.389 * [taylor]: Taking taylor expansion of 2.0 in n 1.391 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.391 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.391 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.391 * [taylor]: Taking taylor expansion of 1.0 in n 1.391 * [taylor]: Taking taylor expansion of (log n) in n 1.391 * [taylor]: Taking taylor expansion of n in n 1.392 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.392 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.392 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.392 * [taylor]: Taking taylor expansion of 1.0 in n 1.392 * [taylor]: Taking taylor expansion of (log PI) in n 1.392 * [taylor]: Taking taylor expansion of PI in n 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.397 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.397 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.397 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.397 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.397 * [taylor]: Taking taylor expansion of 0.5 in n 1.397 * [taylor]: Taking taylor expansion of k in n 1.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.397 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.397 * [taylor]: Taking taylor expansion of 2.0 in n 1.397 * [taylor]: Taking taylor expansion of (* n PI) in n 1.397 * [taylor]: Taking taylor expansion of n in n 1.397 * [taylor]: Taking taylor expansion of PI in n 1.403 * [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 1.403 * [taylor]: Taking taylor expansion of 1.0 in n 1.403 * [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 1.403 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.403 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.403 * [taylor]: Taking taylor expansion of k in n 1.404 * [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 1.404 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.404 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.404 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.404 * [taylor]: Taking taylor expansion of 0.5 in n 1.404 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.404 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.404 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.404 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.404 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.404 * [taylor]: Taking taylor expansion of 1.0 in n 1.404 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.404 * [taylor]: Taking taylor expansion of 2.0 in n 1.406 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.406 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.406 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.406 * [taylor]: Taking taylor expansion of 1.0 in n 1.406 * [taylor]: Taking taylor expansion of (log n) in n 1.406 * [taylor]: Taking taylor expansion of n in n 1.406 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.406 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.406 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.406 * [taylor]: Taking taylor expansion of 1.0 in n 1.406 * [taylor]: Taking taylor expansion of (log PI) in n 1.406 * [taylor]: Taking taylor expansion of PI in n 1.412 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.412 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.412 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.412 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.412 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.412 * [taylor]: Taking taylor expansion of 0.5 in n 1.412 * [taylor]: Taking taylor expansion of k in n 1.412 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.412 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.412 * [taylor]: Taking taylor expansion of 2.0 in n 1.412 * [taylor]: Taking taylor expansion of (* n PI) in n 1.412 * [taylor]: Taking taylor expansion of n in n 1.412 * [taylor]: Taking taylor expansion of PI in n 1.422 * [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 1.422 * [taylor]: Taking taylor expansion of 1.0 in k 1.422 * [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 1.423 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.423 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.423 * [taylor]: Taking taylor expansion of k in k 1.424 * [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 1.424 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.424 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.424 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.424 * [taylor]: Taking taylor expansion of 0.5 in k 1.424 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.424 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.424 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.424 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.424 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.424 * [taylor]: Taking taylor expansion of 1.0 in k 1.424 * [taylor]: Taking taylor expansion of (log PI) in k 1.424 * [taylor]: Taking taylor expansion of PI in k 1.426 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.426 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.426 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.426 * [taylor]: Taking taylor expansion of 1.0 in k 1.426 * [taylor]: Taking taylor expansion of (log n) in k 1.426 * [taylor]: Taking taylor expansion of n in k 1.426 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.426 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.426 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.426 * [taylor]: Taking taylor expansion of 1.0 in k 1.426 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.426 * [taylor]: Taking taylor expansion of 2.0 in k 1.432 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.432 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.432 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.432 * [taylor]: Taking taylor expansion of 0.5 in k 1.432 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.432 * [taylor]: Taking taylor expansion of k in k 1.432 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.432 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.432 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.432 * [taylor]: Taking taylor expansion of 2.0 in k 1.432 * [taylor]: Taking taylor expansion of PI in k 1.433 * [taylor]: Taking taylor expansion of (log n) in k 1.433 * [taylor]: Taking taylor expansion of n in k 1.468 * [taylor]: Taking taylor expansion of 0 in k 1.520 * [taylor]: Taking taylor expansion of 0 in k 1.620 * [taylor]: Taking taylor expansion of 0 in k 1.742 * [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 1.743 * [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 1.743 * [taylor]: Taking taylor expansion of 1.0 in k 1.743 * [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 1.743 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.743 * [taylor]: Taking taylor expansion of k in k 1.744 * [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 1.744 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.744 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.744 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.744 * [taylor]: Taking taylor expansion of 0.5 in k 1.744 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.744 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.744 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.744 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.744 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.744 * [taylor]: Taking taylor expansion of 1.0 in k 1.744 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.744 * [taylor]: Taking taylor expansion of 2.0 in k 1.746 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.746 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.746 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.746 * [taylor]: Taking taylor expansion of 1.0 in k 1.746 * [taylor]: Taking taylor expansion of (log PI) in k 1.746 * [taylor]: Taking taylor expansion of PI in k 1.748 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.748 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.748 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.748 * [taylor]: Taking taylor expansion of 1.0 in k 1.748 * [taylor]: Taking taylor expansion of (log n) in k 1.748 * [taylor]: Taking taylor expansion of n in k 1.754 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.754 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.754 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.754 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.754 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.754 * [taylor]: Taking taylor expansion of 0.5 in k 1.754 * [taylor]: Taking taylor expansion of k in k 1.755 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.755 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.755 * [taylor]: Taking taylor expansion of 2.0 in k 1.755 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.755 * [taylor]: Taking taylor expansion of PI in k 1.755 * [taylor]: Taking taylor expansion of n in k 1.755 * [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 1.755 * [taylor]: Taking taylor expansion of 1.0 in n 1.755 * [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 1.755 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.755 * [taylor]: Taking taylor expansion of k in n 1.755 * [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 1.755 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.755 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.755 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.755 * [taylor]: Taking taylor expansion of 0.5 in n 1.755 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.755 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.755 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.755 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.755 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.755 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.755 * [taylor]: Taking taylor expansion of 1.0 in n 1.755 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.755 * [taylor]: Taking taylor expansion of 2.0 in n 1.757 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.757 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.757 * [taylor]: Taking taylor expansion of 1.0 in n 1.757 * [taylor]: Taking taylor expansion of (log PI) in n 1.757 * [taylor]: Taking taylor expansion of PI in n 1.759 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.759 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.759 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.759 * [taylor]: Taking taylor expansion of 1.0 in n 1.759 * [taylor]: Taking taylor expansion of (log n) in n 1.759 * [taylor]: Taking taylor expansion of n in n 1.766 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.766 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.766 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.766 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.766 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.766 * [taylor]: Taking taylor expansion of 0.5 in n 1.766 * [taylor]: Taking taylor expansion of k in n 1.766 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.766 * [taylor]: Taking taylor expansion of 2.0 in n 1.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.766 * [taylor]: Taking taylor expansion of PI in n 1.766 * [taylor]: Taking taylor expansion of n in n 1.770 * [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 1.770 * [taylor]: Taking taylor expansion of 1.0 in n 1.770 * [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 1.770 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.770 * [taylor]: Taking taylor expansion of k in n 1.770 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 1.770 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.770 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.770 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.770 * [taylor]: Taking taylor expansion of 0.5 in n 1.771 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.771 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.771 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.771 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.771 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.771 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.771 * [taylor]: Taking taylor expansion of 1.0 in n 1.771 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.771 * [taylor]: Taking taylor expansion of 2.0 in n 1.772 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.772 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.772 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.772 * [taylor]: Taking taylor expansion of 1.0 in n 1.772 * [taylor]: Taking taylor expansion of (log PI) in n 1.772 * [taylor]: Taking taylor expansion of PI in n 1.774 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.774 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.774 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.774 * [taylor]: Taking taylor expansion of 1.0 in n 1.774 * [taylor]: Taking taylor expansion of (log n) in n 1.774 * [taylor]: Taking taylor expansion of n in n 1.781 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.781 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.781 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.781 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.781 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.781 * [taylor]: Taking taylor expansion of 0.5 in n 1.781 * [taylor]: Taking taylor expansion of k in n 1.781 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.781 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.782 * [taylor]: Taking taylor expansion of 2.0 in n 1.782 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.782 * [taylor]: Taking taylor expansion of PI in n 1.782 * [taylor]: Taking taylor expansion of n in n 1.792 * [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 1.792 * [taylor]: Taking taylor expansion of 1.0 in k 1.792 * [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 1.792 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.792 * [taylor]: Taking taylor expansion of k in k 1.793 * [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 1.793 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.793 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.793 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.793 * [taylor]: Taking taylor expansion of 0.5 in k 1.793 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.793 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.793 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.793 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.793 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.793 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.793 * [taylor]: Taking taylor expansion of 1.0 in k 1.793 * [taylor]: Taking taylor expansion of (log PI) in k 1.793 * [taylor]: Taking taylor expansion of PI in k 1.795 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.795 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.795 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.795 * [taylor]: Taking taylor expansion of 1.0 in k 1.795 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.795 * [taylor]: Taking taylor expansion of 2.0 in k 1.797 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.797 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.797 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.797 * [taylor]: Taking taylor expansion of 1.0 in k 1.797 * [taylor]: Taking taylor expansion of (log n) in k 1.797 * [taylor]: Taking taylor expansion of n in k 1.803 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.803 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.803 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.803 * [taylor]: Taking taylor expansion of 0.5 in k 1.803 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.803 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.803 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.803 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.803 * [taylor]: Taking taylor expansion of 2.0 in k 1.804 * [taylor]: Taking taylor expansion of PI in k 1.804 * [taylor]: Taking taylor expansion of (log n) in k 1.804 * [taylor]: Taking taylor expansion of n in k 1.804 * [taylor]: Taking taylor expansion of k in k 1.843 * [taylor]: Taking taylor expansion of 0 in k 1.905 * [taylor]: Taking taylor expansion of 0 in k 1.987 * [taylor]: Taking taylor expansion of 0 in k 2.038 * [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 2.038 * [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 2.038 * [taylor]: Taking taylor expansion of 1.0 in k 2.038 * [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 2.038 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 2.038 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 2.038 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.038 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.038 * [taylor]: Taking taylor expansion of -1 in k 2.038 * [taylor]: Taking taylor expansion of k in k 2.039 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 2.040 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 2.040 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 2.040 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 2.040 * [taylor]: Taking taylor expansion of -0.5 in k 2.040 * [taylor]: Taking taylor expansion of k in k 2.040 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.040 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.040 * [taylor]: Taking taylor expansion of -2.0 in k 2.040 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.040 * [taylor]: Taking taylor expansion of PI in k 2.040 * [taylor]: Taking taylor expansion of n in k 2.041 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.041 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.041 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.041 * [taylor]: Taking taylor expansion of 0.5 in k 2.041 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.041 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.041 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.041 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.041 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.041 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.041 * [taylor]: Taking taylor expansion of 1.0 in k 2.041 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.041 * [taylor]: Taking taylor expansion of -2.0 in k 2.043 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.043 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.043 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.043 * [taylor]: Taking taylor expansion of 1.0 in k 2.043 * [taylor]: Taking taylor expansion of (log PI) in k 2.043 * [taylor]: Taking taylor expansion of PI in k 2.045 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.045 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.045 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.045 * [taylor]: Taking taylor expansion of 1.0 in k 2.045 * [taylor]: Taking taylor expansion of (log n) in k 2.045 * [taylor]: Taking taylor expansion of n in k 2.051 * [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 2.051 * [taylor]: Taking taylor expansion of 1.0 in n 2.051 * [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 2.051 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.051 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.051 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.051 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.051 * [taylor]: Taking taylor expansion of -1 in n 2.051 * [taylor]: Taking taylor expansion of k in n 2.052 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.052 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.052 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.052 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.052 * [taylor]: Taking taylor expansion of -0.5 in n 2.052 * [taylor]: Taking taylor expansion of k in n 2.052 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.052 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.052 * [taylor]: Taking taylor expansion of -2.0 in n 2.052 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.052 * [taylor]: Taking taylor expansion of PI in n 2.052 * [taylor]: Taking taylor expansion of n in n 2.057 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.057 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.057 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.057 * [taylor]: Taking taylor expansion of 0.5 in n 2.057 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.057 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.057 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.057 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.057 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.057 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.057 * [taylor]: Taking taylor expansion of 1.0 in n 2.057 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.057 * [taylor]: Taking taylor expansion of -2.0 in n 2.058 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.059 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.059 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.059 * [taylor]: Taking taylor expansion of 1.0 in n 2.059 * [taylor]: Taking taylor expansion of (log PI) in n 2.059 * [taylor]: Taking taylor expansion of PI in n 2.060 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.060 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.060 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.060 * [taylor]: Taking taylor expansion of 1.0 in n 2.060 * [taylor]: Taking taylor expansion of (log n) in n 2.060 * [taylor]: Taking taylor expansion of n in n 2.074 * [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 2.074 * [taylor]: Taking taylor expansion of 1.0 in n 2.074 * [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 2.074 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 2.074 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 2.074 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.074 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.074 * [taylor]: Taking taylor expansion of -1 in n 2.074 * [taylor]: Taking taylor expansion of k in n 2.074 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 2.074 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 2.074 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 2.074 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 2.074 * [taylor]: Taking taylor expansion of -0.5 in n 2.074 * [taylor]: Taking taylor expansion of k in n 2.074 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.074 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.074 * [taylor]: Taking taylor expansion of -2.0 in n 2.074 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.074 * [taylor]: Taking taylor expansion of PI in n 2.074 * [taylor]: Taking taylor expansion of n in n 2.079 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 2.079 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 2.079 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 2.079 * [taylor]: Taking taylor expansion of 0.5 in n 2.079 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 2.079 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 2.079 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 2.079 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 2.079 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 2.079 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 2.079 * [taylor]: Taking taylor expansion of 1.0 in n 2.080 * [taylor]: Taking taylor expansion of (log -2.0) in n 2.080 * [taylor]: Taking taylor expansion of -2.0 in n 2.081 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.081 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.081 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.081 * [taylor]: Taking taylor expansion of 1.0 in n 2.081 * [taylor]: Taking taylor expansion of (log PI) in n 2.081 * [taylor]: Taking taylor expansion of PI in n 2.083 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.083 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.083 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.083 * [taylor]: Taking taylor expansion of 1.0 in n 2.083 * [taylor]: Taking taylor expansion of (log n) in n 2.083 * [taylor]: Taking taylor expansion of n in n 2.094 * [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 2.094 * [taylor]: Taking taylor expansion of 1.0 in k 2.094 * [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 2.094 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 2.094 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 2.094 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 2.094 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 2.094 * [taylor]: Taking taylor expansion of -0.5 in k 2.094 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 2.094 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.094 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.094 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.094 * [taylor]: Taking taylor expansion of -2.0 in k 2.094 * [taylor]: Taking taylor expansion of PI in k 2.095 * [taylor]: Taking taylor expansion of (log n) in k 2.095 * [taylor]: Taking taylor expansion of n in k 2.095 * [taylor]: Taking taylor expansion of k in k 2.098 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.098 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.098 * [taylor]: Taking taylor expansion of -1 in k 2.098 * [taylor]: Taking taylor expansion of k in k 2.102 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 2.102 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 2.102 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 2.102 * [taylor]: Taking taylor expansion of 0.5 in k 2.102 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 2.102 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 2.102 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 2.102 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 2.102 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 2.102 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 2.102 * [taylor]: Taking taylor expansion of 1.0 in k 2.102 * [taylor]: Taking taylor expansion of (log -2.0) in k 2.102 * [taylor]: Taking taylor expansion of -2.0 in k 2.104 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.104 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.104 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.104 * [taylor]: Taking taylor expansion of 1.0 in k 2.104 * [taylor]: Taking taylor expansion of (log PI) in k 2.104 * [taylor]: Taking taylor expansion of PI in k 2.106 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.106 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.106 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.106 * [taylor]: Taking taylor expansion of 1.0 in k 2.106 * [taylor]: Taking taylor expansion of (log n) in k 2.106 * [taylor]: Taking taylor expansion of n in k 2.142 * [taylor]: Taking taylor expansion of 0 in k 2.207 * [taylor]: Taking taylor expansion of 0 in k 2.258 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 2.259 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.259 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.259 * [taylor]: Taking taylor expansion of 2.0 in n 2.259 * [taylor]: Taking taylor expansion of (* n PI) in n 2.259 * [taylor]: Taking taylor expansion of n in n 2.259 * [taylor]: Taking taylor expansion of PI in n 2.259 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.259 * [taylor]: Taking taylor expansion of 2.0 in n 2.259 * [taylor]: Taking taylor expansion of (* n PI) in n 2.259 * [taylor]: Taking taylor expansion of n in n 2.259 * [taylor]: Taking taylor expansion of PI in n 2.271 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.271 * [taylor]: Taking taylor expansion of 2.0 in n 2.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.271 * [taylor]: Taking taylor expansion of PI in n 2.271 * [taylor]: Taking taylor expansion of n in n 2.271 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.271 * [taylor]: Taking taylor expansion of 2.0 in n 2.271 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.271 * [taylor]: Taking taylor expansion of PI in n 2.271 * [taylor]: Taking taylor expansion of n in n 2.280 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.280 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.280 * [taylor]: Taking taylor expansion of -2.0 in n 2.280 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.280 * [taylor]: Taking taylor expansion of PI in n 2.280 * [taylor]: Taking taylor expansion of n in n 2.280 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.280 * [taylor]: Taking taylor expansion of -2.0 in n 2.280 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.280 * [taylor]: Taking taylor expansion of PI in n 2.280 * [taylor]: Taking taylor expansion of n in n 2.289 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 2.289 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.289 * [taylor]: Taking taylor expansion of 2.0 in n 2.289 * [taylor]: Taking taylor expansion of (* n PI) in n 2.289 * [taylor]: Taking taylor expansion of n in n 2.289 * [taylor]: Taking taylor expansion of PI in n 2.289 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.289 * [taylor]: Taking taylor expansion of 2.0 in n 2.289 * [taylor]: Taking taylor expansion of (* n PI) in n 2.289 * [taylor]: Taking taylor expansion of n in n 2.289 * [taylor]: Taking taylor expansion of PI in n 2.301 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.301 * [taylor]: Taking taylor expansion of 2.0 in n 2.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.301 * [taylor]: Taking taylor expansion of PI in n 2.301 * [taylor]: Taking taylor expansion of n in n 2.301 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.301 * [taylor]: Taking taylor expansion of 2.0 in n 2.301 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.301 * [taylor]: Taking taylor expansion of PI in n 2.301 * [taylor]: Taking taylor expansion of n in n 2.311 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.311 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.311 * [taylor]: Taking taylor expansion of -2.0 in n 2.311 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.311 * [taylor]: Taking taylor expansion of PI in n 2.311 * [taylor]: Taking taylor expansion of n in n 2.311 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.311 * [taylor]: Taking taylor expansion of -2.0 in n 2.311 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.311 * [taylor]: Taking taylor expansion of PI in n 2.311 * [taylor]: Taking taylor expansion of n in n 2.319 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 2.320 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 2.320 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.320 * [taylor]: Taking taylor expansion of 0.5 in n 2.320 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.320 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.320 * [taylor]: Taking taylor expansion of 2.0 in n 2.320 * [taylor]: Taking taylor expansion of (* n PI) in n 2.320 * [taylor]: Taking taylor expansion of n in n 2.320 * [taylor]: Taking taylor expansion of PI in n 2.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 2.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 2.332 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 2.332 * [taylor]: Taking taylor expansion of 0.5 in n 2.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.332 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.332 * [taylor]: Taking taylor expansion of 2.0 in n 2.332 * [taylor]: Taking taylor expansion of (* n PI) in n 2.332 * [taylor]: Taking taylor expansion of n in n 2.332 * [taylor]: Taking taylor expansion of PI in n 2.416 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.416 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.416 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.416 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.416 * [taylor]: Taking taylor expansion of 0.5 in n 2.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.416 * [taylor]: Taking taylor expansion of 2.0 in n 2.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.416 * [taylor]: Taking taylor expansion of PI in n 2.416 * [taylor]: Taking taylor expansion of n in n 2.419 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.419 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.419 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.419 * [taylor]: Taking taylor expansion of 0.5 in n 2.419 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.419 * [taylor]: Taking taylor expansion of 2.0 in n 2.419 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.419 * [taylor]: Taking taylor expansion of PI in n 2.419 * [taylor]: Taking taylor expansion of n in n 2.499 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.499 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.499 * [taylor]: Taking taylor expansion of 0.5 in n 2.499 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.499 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.499 * [taylor]: Taking taylor expansion of -2.0 in n 2.499 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.499 * [taylor]: Taking taylor expansion of PI in n 2.499 * [taylor]: Taking taylor expansion of n in n 2.503 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.503 * [taylor]: Taking taylor expansion of 0.5 in n 2.503 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.503 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.503 * [taylor]: Taking taylor expansion of -2.0 in n 2.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.503 * [taylor]: Taking taylor expansion of PI in n 2.503 * [taylor]: Taking taylor expansion of n in n 2.582 * * * [progress]: simplifying candidates 2.584 * [simplify]: Simplifying using # : (- (+ (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)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 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 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) 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) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ 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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))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (log (* (* 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)) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (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))) (- (* +nan.0 (* (* k (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) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (* (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)))))))) (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) (+ (* +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)) (/ (- (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 (* (/ 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))))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.681 * * * [progress]: adding candidates to table 2.934 * * [progress]: iteration 3 / 4 2.934 * * * [progress]: picking best candidate 2.966 * * * * [pick]: Picked # 2.966 * * * [progress]: localizing error 2.985 * * * [progress]: generating rewritten candidates 2.986 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 2 1) 2.992 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 2.998 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.008 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.048 * * * [progress]: generating series expansions 3.048 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 2 1) 3.049 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.049 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.049 * [taylor]: Taking taylor expansion of 2.0 in n 3.049 * [taylor]: Taking taylor expansion of (* n PI) in n 3.049 * [taylor]: Taking taylor expansion of n in n 3.049 * [taylor]: Taking taylor expansion of PI in n 3.049 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.049 * [taylor]: Taking taylor expansion of 2.0 in n 3.049 * [taylor]: Taking taylor expansion of (* n PI) in n 3.049 * [taylor]: Taking taylor expansion of n in n 3.049 * [taylor]: Taking taylor expansion of PI in n 3.061 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.061 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.061 * [taylor]: Taking taylor expansion of 2.0 in n 3.061 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.061 * [taylor]: Taking taylor expansion of PI in n 3.061 * [taylor]: Taking taylor expansion of n in n 3.062 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.062 * [taylor]: Taking taylor expansion of 2.0 in n 3.062 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.062 * [taylor]: Taking taylor expansion of PI in n 3.062 * [taylor]: Taking taylor expansion of n in n 3.071 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.071 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.071 * [taylor]: Taking taylor expansion of -2.0 in n 3.071 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.071 * [taylor]: Taking taylor expansion of PI in n 3.071 * [taylor]: Taking taylor expansion of n in n 3.071 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.071 * [taylor]: Taking taylor expansion of -2.0 in n 3.071 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.071 * [taylor]: Taking taylor expansion of PI in n 3.071 * [taylor]: Taking taylor expansion of n in n 3.080 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 3.080 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.080 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.080 * [taylor]: Taking taylor expansion of 2.0 in n 3.080 * [taylor]: Taking taylor expansion of (* n PI) in n 3.080 * [taylor]: Taking taylor expansion of n in n 3.080 * [taylor]: Taking taylor expansion of PI in n 3.080 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.080 * [taylor]: Taking taylor expansion of 2.0 in n 3.080 * [taylor]: Taking taylor expansion of (* n PI) in n 3.080 * [taylor]: Taking taylor expansion of n in n 3.080 * [taylor]: Taking taylor expansion of PI in n 3.092 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.092 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.092 * [taylor]: Taking taylor expansion of 2.0 in n 3.092 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.092 * [taylor]: Taking taylor expansion of PI in n 3.092 * [taylor]: Taking taylor expansion of n in n 3.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.093 * [taylor]: Taking taylor expansion of 2.0 in n 3.093 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.093 * [taylor]: Taking taylor expansion of PI in n 3.093 * [taylor]: Taking taylor expansion of n in n 3.101 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.101 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.101 * [taylor]: Taking taylor expansion of -2.0 in n 3.101 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.102 * [taylor]: Taking taylor expansion of PI in n 3.102 * [taylor]: Taking taylor expansion of n in n 3.102 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.102 * [taylor]: Taking taylor expansion of -2.0 in n 3.102 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.102 * [taylor]: Taking taylor expansion of PI in n 3.102 * [taylor]: Taking taylor expansion of n in n 3.117 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.118 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (k n) around 0 3.118 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.118 * [taylor]: Taking taylor expansion of 1.0 in n 3.118 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.118 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.119 * [taylor]: Taking taylor expansion of k in n 3.119 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.119 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 3.119 * [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 3.119 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.119 * [taylor]: Taking taylor expansion of 0.5 in n 3.119 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.119 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.119 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.119 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.119 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.119 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.119 * [taylor]: Taking taylor expansion of 1.0 in n 3.119 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.119 * [taylor]: Taking taylor expansion of 2.0 in n 3.120 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.121 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.121 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.121 * [taylor]: Taking taylor expansion of 1.0 in n 3.121 * [taylor]: Taking taylor expansion of (log n) in n 3.121 * [taylor]: Taking taylor expansion of n in n 3.121 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.121 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.121 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.121 * [taylor]: Taking taylor expansion of 1.0 in n 3.121 * [taylor]: Taking taylor expansion of (log PI) in n 3.121 * [taylor]: Taking taylor expansion of PI in n 3.127 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.127 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.127 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.127 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.127 * [taylor]: Taking taylor expansion of 0.5 in n 3.127 * [taylor]: Taking taylor expansion of k in n 3.127 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.128 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.128 * [taylor]: Taking taylor expansion of 2.0 in n 3.128 * [taylor]: Taking taylor expansion of (* n PI) in n 3.128 * [taylor]: Taking taylor expansion of n in n 3.128 * [taylor]: Taking taylor expansion of PI in n 3.133 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.133 * [taylor]: Taking taylor expansion of 1.0 in k 3.133 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.133 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.133 * [taylor]: Taking taylor expansion of k in k 3.134 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.134 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in k 3.134 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in k 3.134 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.134 * [taylor]: Taking taylor expansion of 0.5 in k 3.134 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.134 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.134 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.134 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.134 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.134 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.134 * [taylor]: Taking taylor expansion of 1.0 in k 3.134 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.134 * [taylor]: Taking taylor expansion of 2.0 in k 3.136 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.136 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.136 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.136 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.136 * [taylor]: Taking taylor expansion of 1.0 in k 3.136 * [taylor]: Taking taylor expansion of (log n) in k 3.136 * [taylor]: Taking taylor expansion of n in k 3.136 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.136 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.136 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.136 * [taylor]: Taking taylor expansion of 1.0 in k 3.136 * [taylor]: Taking taylor expansion of (log PI) in k 3.136 * [taylor]: Taking taylor expansion of PI in k 3.143 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.143 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.143 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.143 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.143 * [taylor]: Taking taylor expansion of 0.5 in k 3.143 * [taylor]: Taking taylor expansion of k in k 3.143 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.143 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.143 * [taylor]: Taking taylor expansion of 2.0 in k 3.143 * [taylor]: Taking taylor expansion of (* n PI) in k 3.143 * [taylor]: Taking taylor expansion of n in k 3.143 * [taylor]: Taking taylor expansion of PI in k 3.145 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.145 * [taylor]: Taking taylor expansion of 1.0 in k 3.146 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.146 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.146 * [taylor]: Taking taylor expansion of k in k 3.147 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.147 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in k 3.147 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))))) in k 3.147 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 3.147 * [taylor]: Taking taylor expansion of 0.5 in k 3.147 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 3.147 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 3.147 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 3.147 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.147 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.147 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.147 * [taylor]: Taking taylor expansion of 1.0 in k 3.147 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.147 * [taylor]: Taking taylor expansion of 2.0 in k 3.149 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 3.149 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.149 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.149 * [taylor]: Taking taylor expansion of 1.0 in k 3.149 * [taylor]: Taking taylor expansion of (log n) in k 3.149 * [taylor]: Taking taylor expansion of n in k 3.149 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.149 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.149 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.149 * [taylor]: Taking taylor expansion of 1.0 in k 3.149 * [taylor]: Taking taylor expansion of (log PI) in k 3.149 * [taylor]: Taking taylor expansion of PI in k 3.155 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.155 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.155 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.155 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.155 * [taylor]: Taking taylor expansion of 0.5 in k 3.155 * [taylor]: Taking taylor expansion of k in k 3.155 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.155 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.155 * [taylor]: Taking taylor expansion of 2.0 in k 3.155 * [taylor]: Taking taylor expansion of (* n PI) in k 3.155 * [taylor]: Taking taylor expansion of n in k 3.155 * [taylor]: Taking taylor expansion of PI in k 3.160 * [taylor]: Taking taylor expansion of 0 in n 3.176 * [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 3.176 * [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 3.176 * [taylor]: Taking taylor expansion of +nan.0 in n 3.176 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 3.176 * [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 3.176 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.176 * [taylor]: Taking taylor expansion of 0.5 in n 3.176 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.176 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.176 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.176 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.176 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.176 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.176 * [taylor]: Taking taylor expansion of 1.0 in n 3.176 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.176 * [taylor]: Taking taylor expansion of 2.0 in n 3.178 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.178 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.178 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.178 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.178 * [taylor]: Taking taylor expansion of 1.0 in n 3.178 * [taylor]: Taking taylor expansion of (log n) in n 3.178 * [taylor]: Taking taylor expansion of n in n 3.179 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.179 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.179 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.179 * [taylor]: Taking taylor expansion of 1.0 in n 3.179 * [taylor]: Taking taylor expansion of (log PI) in n 3.179 * [taylor]: Taking taylor expansion of PI in n 3.224 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))) in n 3.224 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))) in n 3.224 * [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 3.224 * [taylor]: Taking taylor expansion of +nan.0 in n 3.224 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5) in n 3.224 * [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 3.224 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.224 * [taylor]: Taking taylor expansion of 0.5 in n 3.224 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.224 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.224 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.224 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.224 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.224 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.224 * [taylor]: Taking taylor expansion of 1.0 in n 3.224 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.224 * [taylor]: Taking taylor expansion of 2.0 in n 3.226 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.226 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.226 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.226 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.226 * [taylor]: Taking taylor expansion of 1.0 in n 3.226 * [taylor]: Taking taylor expansion of (log n) in n 3.226 * [taylor]: Taking taylor expansion of n in n 3.227 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.227 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.227 * [taylor]: Taking taylor expansion of 1.0 in n 3.227 * [taylor]: Taking taylor expansion of (log PI) in n 3.227 * [taylor]: Taking taylor expansion of PI in n 3.233 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) in n 3.233 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) in n 3.233 * [taylor]: Taking taylor expansion of +nan.0 in n 3.233 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))) in n 3.233 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 3.233 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 3.233 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.233 * [taylor]: Taking taylor expansion of 0.5 in n 3.233 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.233 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.233 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.233 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.233 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.233 * [taylor]: Taking taylor expansion of 1.0 in n 3.233 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.233 * [taylor]: Taking taylor expansion of 2.0 in n 3.235 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.235 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.235 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.235 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.235 * [taylor]: Taking taylor expansion of 1.0 in n 3.235 * [taylor]: Taking taylor expansion of (log PI) in n 3.235 * [taylor]: Taking taylor expansion of PI in n 3.237 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.237 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.237 * [taylor]: Taking taylor expansion of 1.0 in n 3.237 * [taylor]: Taking taylor expansion of (log n) in n 3.237 * [taylor]: Taking taylor expansion of n in n 3.242 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.242 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.242 * [taylor]: Taking taylor expansion of 2.0 in n 3.242 * [taylor]: Taking taylor expansion of (* n PI) in n 3.242 * [taylor]: Taking taylor expansion of n in n 3.242 * [taylor]: Taking taylor expansion of PI in n 3.326 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))))) in n 3.326 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))))) in n 3.326 * [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 3.326 * [taylor]: Taking taylor expansion of +nan.0 in n 3.326 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 3.326 * [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 3.326 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.326 * [taylor]: Taking taylor expansion of 0.5 in n 3.326 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.326 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.326 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.326 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.326 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.326 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.326 * [taylor]: Taking taylor expansion of 1.0 in n 3.326 * [taylor]: Taking taylor expansion of (log PI) in n 3.326 * [taylor]: Taking taylor expansion of PI in n 3.328 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.328 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.328 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.328 * [taylor]: Taking taylor expansion of 1.0 in n 3.328 * [taylor]: Taking taylor expansion of (log n) in n 3.328 * [taylor]: Taking taylor expansion of n in n 3.328 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.328 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.328 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.328 * [taylor]: Taking taylor expansion of 1.0 in n 3.329 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.329 * [taylor]: Taking taylor expansion of 2.0 in n 3.335 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))))) in n 3.335 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))))) in n 3.335 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 3.335 * [taylor]: Taking taylor expansion of +nan.0 in n 3.335 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 3.335 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 3.335 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 3.335 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.335 * [taylor]: Taking taylor expansion of 0.5 in n 3.335 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.335 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.335 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.335 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.335 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.335 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.335 * [taylor]: Taking taylor expansion of 1.0 in n 3.335 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.335 * [taylor]: Taking taylor expansion of 2.0 in n 3.337 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.337 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.337 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.337 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.337 * [taylor]: Taking taylor expansion of 1.0 in n 3.337 * [taylor]: Taking taylor expansion of (log PI) in n 3.337 * [taylor]: Taking taylor expansion of PI in n 3.339 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.339 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.339 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.339 * [taylor]: Taking taylor expansion of 1.0 in n 3.339 * [taylor]: Taking taylor expansion of (log n) in n 3.339 * [taylor]: Taking taylor expansion of n in n 3.344 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.344 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.344 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.344 * [taylor]: Taking taylor expansion of 2.0 in n 3.344 * [taylor]: Taking taylor expansion of (* n PI) in n 3.344 * [taylor]: Taking taylor expansion of n in n 3.344 * [taylor]: Taking taylor expansion of PI in n 3.348 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))))) in n 3.348 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI))))) in n 3.348 * [taylor]: Taking taylor expansion of +nan.0 in n 3.348 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) (log (* 2.0 (* n PI)))) in n 3.348 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5) in n 3.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))))) in n 3.348 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 3.348 * [taylor]: Taking taylor expansion of 0.5 in n 3.348 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 3.348 * [taylor]: Taking taylor expansion of (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 3.348 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 3.348 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.348 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.348 * [taylor]: Taking taylor expansion of 1.0 in n 3.348 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.348 * [taylor]: Taking taylor expansion of 2.0 in n 3.350 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 3.350 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.350 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.350 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.350 * [taylor]: Taking taylor expansion of 1.0 in n 3.350 * [taylor]: Taking taylor expansion of (log PI) in n 3.350 * [taylor]: Taking taylor expansion of PI in n 3.352 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.352 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.352 * [taylor]: Taking taylor expansion of 1.0 in n 3.352 * [taylor]: Taking taylor expansion of (log n) in n 3.352 * [taylor]: Taking taylor expansion of n in n 3.357 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.357 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.357 * [taylor]: Taking taylor expansion of 2.0 in n 3.357 * [taylor]: Taking taylor expansion of (* n PI) in n 3.357 * [taylor]: Taking taylor expansion of n in n 3.357 * [taylor]: Taking taylor expansion of PI in n 3.438 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (k n) around 0 3.438 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.438 * [taylor]: Taking taylor expansion of 1.0 in n 3.438 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.438 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.438 * [taylor]: Taking taylor expansion of k in n 3.438 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.438 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in n 3.438 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in n 3.438 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in n 3.438 * [taylor]: Taking taylor expansion of 0.5 in n 3.438 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in n 3.438 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in n 3.438 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.438 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.438 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.438 * [taylor]: Taking taylor expansion of 1.0 in n 3.438 * [taylor]: Taking taylor expansion of (log n) in n 3.438 * [taylor]: Taking taylor expansion of n in n 3.439 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.439 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.439 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.439 * [taylor]: Taking taylor expansion of 1.0 in n 3.439 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.439 * [taylor]: Taking taylor expansion of 2.0 in n 3.441 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.441 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.441 * [taylor]: Taking taylor expansion of 1.0 in n 3.441 * [taylor]: Taking taylor expansion of (log PI) in n 3.441 * [taylor]: Taking taylor expansion of PI in n 3.449 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.449 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.449 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.449 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.449 * [taylor]: Taking taylor expansion of 0.5 in n 3.449 * [taylor]: Taking taylor expansion of k in n 3.449 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.449 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.449 * [taylor]: Taking taylor expansion of 2.0 in n 3.449 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.450 * [taylor]: Taking taylor expansion of PI in n 3.450 * [taylor]: Taking taylor expansion of n in n 3.453 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.453 * [taylor]: Taking taylor expansion of 1.0 in k 3.453 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.453 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.453 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.453 * [taylor]: Taking taylor expansion of k in k 3.454 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.454 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in k 3.454 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in k 3.454 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in k 3.454 * [taylor]: Taking taylor expansion of 0.5 in k 3.454 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in k 3.454 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in k 3.454 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.455 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.455 * [taylor]: Taking taylor expansion of 1.0 in k 3.455 * [taylor]: Taking taylor expansion of (log n) in k 3.455 * [taylor]: Taking taylor expansion of n in k 3.455 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.455 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.455 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.455 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.455 * [taylor]: Taking taylor expansion of 1.0 in k 3.455 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.455 * [taylor]: Taking taylor expansion of 2.0 in k 3.456 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.456 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.456 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.457 * [taylor]: Taking taylor expansion of 1.0 in k 3.457 * [taylor]: Taking taylor expansion of (log PI) in k 3.457 * [taylor]: Taking taylor expansion of PI in k 3.470 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.470 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.470 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.470 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.470 * [taylor]: Taking taylor expansion of 0.5 in k 3.470 * [taylor]: Taking taylor expansion of k in k 3.470 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.471 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.471 * [taylor]: Taking taylor expansion of 2.0 in k 3.471 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.471 * [taylor]: Taking taylor expansion of PI in k 3.471 * [taylor]: Taking taylor expansion of n in k 3.471 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.471 * [taylor]: Taking taylor expansion of 1.0 in k 3.471 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.471 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.471 * [taylor]: Taking taylor expansion of k in k 3.472 * [taylor]: Taking taylor expansion of (* (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.472 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) 0.5) in k 3.472 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))))) in k 3.472 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))))) in k 3.472 * [taylor]: Taking taylor expansion of 0.5 in k 3.472 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0)))) in k 3.472 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow 2.0 1.0) (pow PI 1.0))) in k 3.472 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.472 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.472 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.472 * [taylor]: Taking taylor expansion of 1.0 in k 3.472 * [taylor]: Taking taylor expansion of (log n) in k 3.472 * [taylor]: Taking taylor expansion of n in k 3.472 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.473 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.473 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.473 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.473 * [taylor]: Taking taylor expansion of 1.0 in k 3.473 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.473 * [taylor]: Taking taylor expansion of 2.0 in k 3.474 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.474 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.474 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.474 * [taylor]: Taking taylor expansion of 1.0 in k 3.474 * [taylor]: Taking taylor expansion of (log PI) in k 3.474 * [taylor]: Taking taylor expansion of PI in k 3.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.482 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.483 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.483 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.483 * [taylor]: Taking taylor expansion of 0.5 in k 3.483 * [taylor]: Taking taylor expansion of k in k 3.483 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.483 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.483 * [taylor]: Taking taylor expansion of 2.0 in k 3.483 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.483 * [taylor]: Taking taylor expansion of PI in k 3.483 * [taylor]: Taking taylor expansion of n in k 3.486 * [taylor]: Taking taylor expansion of 0 in n 3.504 * [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 3.504 * [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 3.504 * [taylor]: Taking taylor expansion of +nan.0 in n 3.504 * [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 3.504 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.504 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.504 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.504 * [taylor]: Taking taylor expansion of 0.5 in n 3.504 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.504 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.504 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.504 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.504 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.504 * [taylor]: Taking taylor expansion of 1.0 in n 3.504 * [taylor]: Taking taylor expansion of (log n) in n 3.504 * [taylor]: Taking taylor expansion of n in n 3.505 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.505 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.505 * [taylor]: Taking taylor expansion of 1.0 in n 3.505 * [taylor]: Taking taylor expansion of (log PI) in n 3.505 * [taylor]: Taking taylor expansion of PI in n 3.507 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.507 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.507 * [taylor]: Taking taylor expansion of 1.0 in n 3.507 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.507 * [taylor]: Taking taylor expansion of 2.0 in n 3.515 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.515 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.515 * [taylor]: Taking taylor expansion of 0.5 in n 3.515 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.515 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.515 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.515 * [taylor]: Taking taylor expansion of 2.0 in n 3.515 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.515 * [taylor]: Taking taylor expansion of PI in n 3.515 * [taylor]: Taking taylor expansion of n in n 3.516 * [taylor]: Taking taylor expansion of k in n 3.563 * [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 3.563 * [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 3.563 * [taylor]: Taking taylor expansion of +nan.0 in n 3.563 * [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 3.563 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.563 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.563 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.563 * [taylor]: Taking taylor expansion of 0.5 in n 3.563 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.563 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.563 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.563 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.563 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.563 * [taylor]: Taking taylor expansion of 1.0 in n 3.563 * [taylor]: Taking taylor expansion of (log n) in n 3.563 * [taylor]: Taking taylor expansion of n in n 3.564 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.564 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.564 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.564 * [taylor]: Taking taylor expansion of 1.0 in n 3.564 * [taylor]: Taking taylor expansion of (log PI) in n 3.564 * [taylor]: Taking taylor expansion of PI in n 3.565 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.566 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.566 * [taylor]: Taking taylor expansion of 1.0 in n 3.566 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.566 * [taylor]: Taking taylor expansion of 2.0 in n 3.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.574 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.574 * [taylor]: Taking taylor expansion of 0.5 in n 3.574 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.574 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.574 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.574 * [taylor]: Taking taylor expansion of 2.0 in n 3.574 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.574 * [taylor]: Taking taylor expansion of PI in n 3.574 * [taylor]: Taking taylor expansion of n in n 3.575 * [taylor]: Taking taylor expansion of k in n 3.652 * [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 3.652 * [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 3.652 * [taylor]: Taking taylor expansion of +nan.0 in n 3.652 * [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 3.652 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 3.652 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 3.652 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 3.652 * [taylor]: Taking taylor expansion of 0.5 in n 3.652 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 3.653 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 3.653 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.653 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.653 * [taylor]: Taking taylor expansion of 1.0 in n 3.653 * [taylor]: Taking taylor expansion of (log n) in n 3.653 * [taylor]: Taking taylor expansion of n in n 3.653 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 3.653 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.653 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.653 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.653 * [taylor]: Taking taylor expansion of 1.0 in n 3.653 * [taylor]: Taking taylor expansion of (log PI) in n 3.653 * [taylor]: Taking taylor expansion of PI in n 3.655 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.655 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.655 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.655 * [taylor]: Taking taylor expansion of 1.0 in n 3.655 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.655 * [taylor]: Taking taylor expansion of 2.0 in n 3.663 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.663 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.663 * [taylor]: Taking taylor expansion of 0.5 in n 3.663 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.663 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.663 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.663 * [taylor]: Taking taylor expansion of 2.0 in n 3.663 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.663 * [taylor]: Taking taylor expansion of PI in n 3.663 * [taylor]: Taking taylor expansion of n in n 3.664 * [taylor]: Taking taylor expansion of k in n 3.684 * [approximate]: Taking taylor expansion of (* 1.0 (* (* (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 3.684 * [taylor]: Taking taylor expansion of (* 1.0 (* (* (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 3.684 * [taylor]: Taking taylor expansion of 1.0 in n 3.684 * [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 3.684 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.684 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.684 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.684 * [taylor]: Taking taylor expansion of -1 in n 3.684 * [taylor]: Taking taylor expansion of k in n 3.684 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.684 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.684 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.684 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.684 * [taylor]: Taking taylor expansion of -0.5 in n 3.684 * [taylor]: Taking taylor expansion of k in n 3.684 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.684 * [taylor]: Taking taylor expansion of -2.0 in n 3.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.684 * [taylor]: Taking taylor expansion of PI in n 3.684 * [taylor]: Taking taylor expansion of n in n 3.688 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.688 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.688 * [taylor]: Taking taylor expansion of 0.5 in n 3.688 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.688 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.688 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.688 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.688 * [taylor]: Taking taylor expansion of 1.0 in n 3.688 * [taylor]: Taking taylor expansion of (log n) in n 3.688 * [taylor]: Taking taylor expansion of n in n 3.689 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.689 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.689 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.689 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.689 * [taylor]: Taking taylor expansion of 1.0 in n 3.689 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.689 * [taylor]: Taking taylor expansion of -2.0 in n 3.690 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.691 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.691 * [taylor]: Taking taylor expansion of 1.0 in n 3.691 * [taylor]: Taking taylor expansion of (log PI) in n 3.691 * [taylor]: Taking taylor expansion of PI in n 3.699 * [taylor]: Taking taylor expansion of (* 1.0 (* (* (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 3.699 * [taylor]: Taking taylor expansion of 1.0 in k 3.699 * [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 3.699 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.699 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.699 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.699 * [taylor]: Taking taylor expansion of -1 in k 3.699 * [taylor]: Taking taylor expansion of k in k 3.700 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.700 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.700 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.700 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.700 * [taylor]: Taking taylor expansion of -0.5 in k 3.700 * [taylor]: Taking taylor expansion of k in k 3.701 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.701 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.701 * [taylor]: Taking taylor expansion of -2.0 in k 3.701 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.701 * [taylor]: Taking taylor expansion of PI in k 3.701 * [taylor]: Taking taylor expansion of n in k 3.701 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 3.701 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 3.701 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 3.701 * [taylor]: Taking taylor expansion of 0.5 in k 3.701 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 3.701 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 3.701 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.701 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.701 * [taylor]: Taking taylor expansion of 1.0 in k 3.701 * [taylor]: Taking taylor expansion of (log n) in k 3.701 * [taylor]: Taking taylor expansion of n in k 3.701 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.701 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.701 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.701 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.701 * [taylor]: Taking taylor expansion of 1.0 in k 3.701 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.701 * [taylor]: Taking taylor expansion of -2.0 in k 3.703 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.703 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.703 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.703 * [taylor]: Taking taylor expansion of 1.0 in k 3.703 * [taylor]: Taking taylor expansion of (log PI) in k 3.703 * [taylor]: Taking taylor expansion of PI in k 3.711 * [taylor]: Taking taylor expansion of (* 1.0 (* (* (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 3.712 * [taylor]: Taking taylor expansion of 1.0 in k 3.712 * [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 3.712 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.712 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.712 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.712 * [taylor]: Taking taylor expansion of -1 in k 3.712 * [taylor]: Taking taylor expansion of k in k 3.713 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.713 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.713 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.713 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.713 * [taylor]: Taking taylor expansion of -0.5 in k 3.713 * [taylor]: Taking taylor expansion of k in k 3.713 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.713 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.713 * [taylor]: Taking taylor expansion of -2.0 in k 3.713 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.713 * [taylor]: Taking taylor expansion of PI in k 3.714 * [taylor]: Taking taylor expansion of n in k 3.714 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in k 3.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in k 3.714 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in k 3.714 * [taylor]: Taking taylor expansion of 0.5 in k 3.714 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in k 3.714 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in k 3.714 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.714 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.714 * [taylor]: Taking taylor expansion of 1.0 in k 3.714 * [taylor]: Taking taylor expansion of (log n) in k 3.714 * [taylor]: Taking taylor expansion of n in k 3.714 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.714 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.714 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.714 * [taylor]: Taking taylor expansion of 1.0 in k 3.714 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.714 * [taylor]: Taking taylor expansion of -2.0 in k 3.716 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.716 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.716 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.716 * [taylor]: Taking taylor expansion of 1.0 in k 3.716 * [taylor]: Taking taylor expansion of (log PI) in k 3.716 * [taylor]: Taking taylor expansion of PI in k 3.726 * [taylor]: Taking taylor expansion of 0 in n 3.749 * [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 3.749 * [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 3.749 * [taylor]: Taking taylor expansion of +nan.0 in n 3.749 * [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 3.749 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.749 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.749 * [taylor]: Taking taylor expansion of -0.5 in n 3.749 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.749 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.749 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.749 * [taylor]: Taking taylor expansion of -2.0 in n 3.749 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.749 * [taylor]: Taking taylor expansion of PI in n 3.749 * [taylor]: Taking taylor expansion of n in n 3.750 * [taylor]: Taking taylor expansion of k in n 3.754 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.754 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.754 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.754 * [taylor]: Taking taylor expansion of 0.5 in n 3.754 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.754 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.754 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.754 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.754 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.754 * [taylor]: Taking taylor expansion of 1.0 in n 3.754 * [taylor]: Taking taylor expansion of (log n) in n 3.754 * [taylor]: Taking taylor expansion of n in n 3.755 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.755 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.755 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.755 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.755 * [taylor]: Taking taylor expansion of 1.0 in n 3.755 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.755 * [taylor]: Taking taylor expansion of -2.0 in n 3.757 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.757 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.757 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.757 * [taylor]: Taking taylor expansion of 1.0 in n 3.757 * [taylor]: Taking taylor expansion of (log PI) in n 3.757 * [taylor]: Taking taylor expansion of PI in n 3.800 * [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 3.800 * [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 3.800 * [taylor]: Taking taylor expansion of +nan.0 in n 3.800 * [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 3.800 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.800 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.800 * [taylor]: Taking taylor expansion of -0.5 in n 3.800 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.800 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.800 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.800 * [taylor]: Taking taylor expansion of -2.0 in n 3.800 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.800 * [taylor]: Taking taylor expansion of PI in n 3.800 * [taylor]: Taking taylor expansion of n in n 3.802 * [taylor]: Taking taylor expansion of k in n 3.806 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.806 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.806 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.806 * [taylor]: Taking taylor expansion of 0.5 in n 3.806 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.806 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.806 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.806 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.806 * [taylor]: Taking taylor expansion of 1.0 in n 3.806 * [taylor]: Taking taylor expansion of (log n) in n 3.806 * [taylor]: Taking taylor expansion of n in n 3.806 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.806 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.806 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.806 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.807 * [taylor]: Taking taylor expansion of 1.0 in n 3.807 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.807 * [taylor]: Taking taylor expansion of -2.0 in n 3.808 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.808 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.808 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.808 * [taylor]: Taking taylor expansion of 1.0 in n 3.808 * [taylor]: Taking taylor expansion of (log PI) in n 3.808 * [taylor]: Taking taylor expansion of PI in n 3.889 * [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 3.889 * [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 3.889 * [taylor]: Taking taylor expansion of +nan.0 in n 3.889 * [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 3.889 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.889 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.889 * [taylor]: Taking taylor expansion of -0.5 in n 3.889 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.889 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.889 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.889 * [taylor]: Taking taylor expansion of -2.0 in n 3.889 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.889 * [taylor]: Taking taylor expansion of PI in n 3.889 * [taylor]: Taking taylor expansion of n in n 3.890 * [taylor]: Taking taylor expansion of k in n 3.894 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 3.894 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 3.894 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 3.894 * [taylor]: Taking taylor expansion of 0.5 in n 3.894 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 3.894 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 3.894 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.894 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.894 * [taylor]: Taking taylor expansion of 1.0 in n 3.894 * [taylor]: Taking taylor expansion of (log n) in n 3.894 * [taylor]: Taking taylor expansion of n in n 3.895 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.895 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.895 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.895 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.895 * [taylor]: Taking taylor expansion of 1.0 in n 3.895 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.895 * [taylor]: Taking taylor expansion of -2.0 in n 3.897 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.897 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.897 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.897 * [taylor]: Taking taylor expansion of 1.0 in n 3.897 * [taylor]: Taking taylor expansion of (log PI) in n 3.897 * [taylor]: Taking taylor expansion of PI in n 3.926 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.927 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in (k n) around 0 3.927 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 3.927 * [taylor]: Taking taylor expansion of 1.0 in n 3.927 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 3.927 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.927 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.927 * [taylor]: Taking taylor expansion of k in n 3.927 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 3.927 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.927 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.927 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.927 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.927 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.927 * [taylor]: Taking taylor expansion of 0.5 in n 3.927 * [taylor]: Taking taylor expansion of k in n 3.927 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.928 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.928 * [taylor]: Taking taylor expansion of 2.0 in n 3.928 * [taylor]: Taking taylor expansion of (* n PI) in n 3.928 * [taylor]: Taking taylor expansion of n in n 3.928 * [taylor]: Taking taylor expansion of PI in n 3.933 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.933 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.933 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.933 * [taylor]: Taking taylor expansion of 0.5 in n 3.934 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.934 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.934 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.934 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.934 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.934 * [taylor]: Taking taylor expansion of 1.0 in n 3.934 * [taylor]: Taking taylor expansion of (log PI) in n 3.934 * [taylor]: Taking taylor expansion of PI in n 3.935 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.935 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.936 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.936 * [taylor]: Taking taylor expansion of 1.0 in n 3.936 * [taylor]: Taking taylor expansion of (log n) in n 3.936 * [taylor]: Taking taylor expansion of n in n 3.936 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.936 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.936 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.936 * [taylor]: Taking taylor expansion of 1.0 in n 3.936 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.936 * [taylor]: Taking taylor expansion of 2.0 in n 3.942 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in k 3.942 * [taylor]: Taking taylor expansion of 1.0 in k 3.942 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 3.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.942 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.942 * [taylor]: Taking taylor expansion of k in k 3.943 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 3.943 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.943 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.943 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.943 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.943 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.943 * [taylor]: Taking taylor expansion of 0.5 in k 3.943 * [taylor]: Taking taylor expansion of k in k 3.943 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.943 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.943 * [taylor]: Taking taylor expansion of 2.0 in k 3.943 * [taylor]: Taking taylor expansion of (* n PI) in k 3.943 * [taylor]: Taking taylor expansion of n in k 3.943 * [taylor]: Taking taylor expansion of PI in k 3.946 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.946 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.946 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.946 * [taylor]: Taking taylor expansion of 0.5 in k 3.946 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.946 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.946 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.946 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.946 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.946 * [taylor]: Taking taylor expansion of 1.0 in k 3.946 * [taylor]: Taking taylor expansion of (log PI) in k 3.946 * [taylor]: Taking taylor expansion of PI in k 3.948 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.948 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.948 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.948 * [taylor]: Taking taylor expansion of 1.0 in k 3.948 * [taylor]: Taking taylor expansion of (log n) in k 3.948 * [taylor]: Taking taylor expansion of n in k 3.948 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.948 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.948 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.948 * [taylor]: Taking taylor expansion of 1.0 in k 3.948 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.948 * [taylor]: Taking taylor expansion of 2.0 in k 3.954 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in k 3.954 * [taylor]: Taking taylor expansion of 1.0 in k 3.954 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 3.954 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.954 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.954 * [taylor]: Taking taylor expansion of k in k 3.955 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 3.955 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.955 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.955 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.955 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.955 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.955 * [taylor]: Taking taylor expansion of 0.5 in k 3.955 * [taylor]: Taking taylor expansion of k in k 3.955 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.955 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.955 * [taylor]: Taking taylor expansion of 2.0 in k 3.955 * [taylor]: Taking taylor expansion of (* n PI) in k 3.955 * [taylor]: Taking taylor expansion of n in k 3.955 * [taylor]: Taking taylor expansion of PI in k 3.958 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 3.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 3.958 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 3.958 * [taylor]: Taking taylor expansion of 0.5 in k 3.958 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 3.958 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 3.958 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.958 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.958 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.958 * [taylor]: Taking taylor expansion of 1.0 in k 3.958 * [taylor]: Taking taylor expansion of (log PI) in k 3.958 * [taylor]: Taking taylor expansion of PI in k 3.960 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 3.960 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.960 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.960 * [taylor]: Taking taylor expansion of 1.0 in k 3.960 * [taylor]: Taking taylor expansion of (log n) in k 3.960 * [taylor]: Taking taylor expansion of n in k 3.960 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.960 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.961 * [taylor]: Taking taylor expansion of 1.0 in k 3.961 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.961 * [taylor]: Taking taylor expansion of 2.0 in k 3.968 * [taylor]: Taking taylor expansion of 0 in n 3.982 * [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 3.982 * [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 3.982 * [taylor]: Taking taylor expansion of +nan.0 in n 3.982 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 3.982 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.982 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.982 * [taylor]: Taking taylor expansion of 0.5 in n 3.982 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.982 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.982 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.982 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.982 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.982 * [taylor]: Taking taylor expansion of 1.0 in n 3.982 * [taylor]: Taking taylor expansion of (log PI) in n 3.982 * [taylor]: Taking taylor expansion of PI in n 3.984 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.984 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.984 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.984 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.984 * [taylor]: Taking taylor expansion of 1.0 in n 3.984 * [taylor]: Taking taylor expansion of (log n) in n 3.984 * [taylor]: Taking taylor expansion of n in n 3.985 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.985 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.985 * [taylor]: Taking taylor expansion of 1.0 in n 3.985 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.985 * [taylor]: Taking taylor expansion of 2.0 in n 4.027 * [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 4.027 * [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 4.027 * [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 4.027 * [taylor]: Taking taylor expansion of +nan.0 in n 4.027 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 4.027 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.027 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.028 * [taylor]: Taking taylor expansion of 0.5 in n 4.028 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.028 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.028 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.028 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.028 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.028 * [taylor]: Taking taylor expansion of 1.0 in n 4.028 * [taylor]: Taking taylor expansion of (log PI) in n 4.028 * [taylor]: Taking taylor expansion of PI in n 4.029 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.029 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.030 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.030 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.030 * [taylor]: Taking taylor expansion of 1.0 in n 4.030 * [taylor]: Taking taylor expansion of (log n) in n 4.030 * [taylor]: Taking taylor expansion of n in n 4.030 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.030 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.030 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.030 * [taylor]: Taking taylor expansion of 1.0 in n 4.030 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.030 * [taylor]: Taking taylor expansion of 2.0 in n 4.035 * [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 4.035 * [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 4.035 * [taylor]: Taking taylor expansion of +nan.0 in n 4.035 * [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 4.035 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.035 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.036 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.036 * [taylor]: Taking taylor expansion of 0.5 in n 4.036 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.036 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.036 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.036 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.036 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.036 * [taylor]: Taking taylor expansion of 1.0 in n 4.036 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.036 * [taylor]: Taking taylor expansion of 2.0 in n 4.037 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.037 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.037 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.037 * [taylor]: Taking taylor expansion of 1.0 in n 4.037 * [taylor]: Taking taylor expansion of (log PI) in n 4.037 * [taylor]: Taking taylor expansion of PI in n 4.039 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.039 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.039 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.039 * [taylor]: Taking taylor expansion of 1.0 in n 4.039 * [taylor]: Taking taylor expansion of (log n) in n 4.039 * [taylor]: Taking taylor expansion of n in n 4.043 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.043 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.043 * [taylor]: Taking taylor expansion of 2.0 in n 4.043 * [taylor]: Taking taylor expansion of (* n PI) in n 4.043 * [taylor]: Taking taylor expansion of n in n 4.043 * [taylor]: Taking taylor expansion of PI in n 4.122 * [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 4.123 * [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 4.123 * [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 4.123 * [taylor]: Taking taylor expansion of +nan.0 in n 4.123 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 4.123 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 4.123 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 4.123 * [taylor]: Taking taylor expansion of 0.5 in n 4.123 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 4.123 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 4.123 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.123 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.123 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.123 * [taylor]: Taking taylor expansion of 1.0 in n 4.123 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.123 * [taylor]: Taking taylor expansion of 2.0 in n 4.124 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 4.125 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.125 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.125 * [taylor]: Taking taylor expansion of 1.0 in n 4.125 * [taylor]: Taking taylor expansion of (log n) in n 4.125 * [taylor]: Taking taylor expansion of n in n 4.125 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.125 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.125 * [taylor]: Taking taylor expansion of 1.0 in n 4.125 * [taylor]: Taking taylor expansion of (log PI) in n 4.125 * [taylor]: Taking taylor expansion of PI in n 4.131 * [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 4.131 * [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 4.131 * [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 4.131 * [taylor]: Taking taylor expansion of +nan.0 in n 4.131 * [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 4.131 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.131 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.131 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.131 * [taylor]: Taking taylor expansion of 0.5 in n 4.131 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.131 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.131 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.131 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.131 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.131 * [taylor]: Taking taylor expansion of 1.0 in n 4.131 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.131 * [taylor]: Taking taylor expansion of 2.0 in n 4.133 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.133 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.133 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.133 * [taylor]: Taking taylor expansion of 1.0 in n 4.133 * [taylor]: Taking taylor expansion of (log PI) in n 4.133 * [taylor]: Taking taylor expansion of PI in n 4.135 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.135 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.135 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.135 * [taylor]: Taking taylor expansion of 1.0 in n 4.135 * [taylor]: Taking taylor expansion of (log n) in n 4.135 * [taylor]: Taking taylor expansion of n in n 4.139 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.139 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.139 * [taylor]: Taking taylor expansion of 2.0 in n 4.139 * [taylor]: Taking taylor expansion of (* n PI) in n 4.139 * [taylor]: Taking taylor expansion of n in n 4.139 * [taylor]: Taking taylor expansion of PI in n 4.142 * [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 4.142 * [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 4.142 * [taylor]: Taking taylor expansion of +nan.0 in n 4.142 * [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 4.142 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 4.142 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 4.142 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 4.142 * [taylor]: Taking taylor expansion of 0.5 in n 4.142 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 4.142 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 4.142 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.142 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.142 * [taylor]: Taking taylor expansion of 1.0 in n 4.142 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.142 * [taylor]: Taking taylor expansion of 2.0 in n 4.144 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 4.144 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.144 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.144 * [taylor]: Taking taylor expansion of 1.0 in n 4.144 * [taylor]: Taking taylor expansion of (log PI) in n 4.144 * [taylor]: Taking taylor expansion of PI in n 4.146 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.146 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.146 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.146 * [taylor]: Taking taylor expansion of 1.0 in n 4.146 * [taylor]: Taking taylor expansion of (log n) in n 4.146 * [taylor]: Taking taylor expansion of n in n 4.150 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 4.150 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 4.150 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.150 * [taylor]: Taking taylor expansion of 2.0 in n 4.150 * [taylor]: Taking taylor expansion of (* n PI) in n 4.150 * [taylor]: Taking taylor expansion of n in n 4.150 * [taylor]: Taking taylor expansion of PI in n 4.230 * [approximate]: 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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (k n) around 0 4.230 * [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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 4.230 * [taylor]: Taking taylor expansion of 1.0 in n 4.230 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 4.230 * [taylor]: Taking taylor expansion of (sqrt k) in n 4.230 * [taylor]: Taking taylor expansion of k in n 4.230 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 4.231 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 4.231 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 4.231 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 4.231 * [taylor]: Taking taylor expansion of 0.5 in n 4.231 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 4.231 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 4.231 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 4.231 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.231 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.231 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.231 * [taylor]: Taking taylor expansion of 1.0 in n 4.231 * [taylor]: Taking taylor expansion of (log PI) in n 4.231 * [taylor]: Taking taylor expansion of PI in n 4.233 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.233 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.233 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.233 * [taylor]: Taking taylor expansion of 1.0 in n 4.233 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.233 * [taylor]: Taking taylor expansion of 2.0 in n 4.234 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.234 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.234 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.234 * [taylor]: Taking taylor expansion of 1.0 in n 4.234 * [taylor]: Taking taylor expansion of (log n) in n 4.234 * [taylor]: Taking taylor expansion of n in n 4.241 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 4.241 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 4.241 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 4.241 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 4.241 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 4.241 * [taylor]: Taking taylor expansion of 0.5 in n 4.241 * [taylor]: Taking taylor expansion of k in n 4.241 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.241 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.241 * [taylor]: Taking taylor expansion of 2.0 in n 4.241 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.241 * [taylor]: Taking taylor expansion of PI in n 4.241 * [taylor]: Taking taylor expansion of n in n 4.246 * [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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 4.246 * [taylor]: Taking taylor expansion of 1.0 in k 4.246 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 4.246 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.246 * [taylor]: Taking taylor expansion of k in k 4.247 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.247 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.247 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.247 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.247 * [taylor]: Taking taylor expansion of 0.5 in k 4.247 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.247 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.247 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.247 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.247 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.247 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.247 * [taylor]: Taking taylor expansion of 1.0 in k 4.247 * [taylor]: Taking taylor expansion of (log PI) in k 4.247 * [taylor]: Taking taylor expansion of PI in k 4.249 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.249 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.249 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.249 * [taylor]: Taking taylor expansion of 1.0 in k 4.249 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.249 * [taylor]: Taking taylor expansion of 2.0 in k 4.251 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.251 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.251 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.251 * [taylor]: Taking taylor expansion of 1.0 in k 4.251 * [taylor]: Taking taylor expansion of (log n) in k 4.251 * [taylor]: Taking taylor expansion of n in k 4.257 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.257 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.257 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.257 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.257 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.257 * [taylor]: Taking taylor expansion of 0.5 in k 4.257 * [taylor]: Taking taylor expansion of k in k 4.258 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.258 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.258 * [taylor]: Taking taylor expansion of 2.0 in k 4.258 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.258 * [taylor]: Taking taylor expansion of PI in k 4.258 * [taylor]: Taking taylor expansion of n in k 4.258 * [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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 4.258 * [taylor]: Taking taylor expansion of 1.0 in k 4.258 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 4.258 * [taylor]: Taking taylor expansion of (sqrt k) in k 4.258 * [taylor]: Taking taylor expansion of k in k 4.259 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 4.259 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 4.259 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 4.259 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 4.259 * [taylor]: Taking taylor expansion of 0.5 in k 4.259 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 4.259 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 4.259 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 4.259 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.259 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.259 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.259 * [taylor]: Taking taylor expansion of 1.0 in k 4.259 * [taylor]: Taking taylor expansion of (log PI) in k 4.259 * [taylor]: Taking taylor expansion of PI in k 4.261 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 4.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 4.261 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 4.261 * [taylor]: Taking taylor expansion of 1.0 in k 4.261 * [taylor]: Taking taylor expansion of (log 2.0) in k 4.261 * [taylor]: Taking taylor expansion of 2.0 in k 4.263 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.263 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.263 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.263 * [taylor]: Taking taylor expansion of 1.0 in k 4.263 * [taylor]: Taking taylor expansion of (log n) in k 4.263 * [taylor]: Taking taylor expansion of n in k 4.276 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 4.276 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 4.276 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 4.276 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 4.276 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 4.276 * [taylor]: Taking taylor expansion of 0.5 in k 4.276 * [taylor]: Taking taylor expansion of k in k 4.276 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 4.276 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 4.276 * [taylor]: Taking taylor expansion of 2.0 in k 4.276 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.276 * [taylor]: Taking taylor expansion of PI in k 4.277 * [taylor]: Taking taylor expansion of n in k 4.280 * [taylor]: Taking taylor expansion of 0 in n 4.297 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 4.297 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.297 * [taylor]: Taking taylor expansion of +nan.0 in n 4.297 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.297 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.297 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.297 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.297 * [taylor]: Taking taylor expansion of 0.5 in n 4.297 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.297 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.297 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.297 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.297 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.297 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.297 * [taylor]: Taking taylor expansion of 1.0 in n 4.297 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.297 * [taylor]: Taking taylor expansion of 2.0 in n 4.299 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.299 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.299 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.299 * [taylor]: Taking taylor expansion of 1.0 in n 4.299 * [taylor]: Taking taylor expansion of (log PI) in n 4.299 * [taylor]: Taking taylor expansion of PI in n 4.301 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.301 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.301 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.301 * [taylor]: Taking taylor expansion of 1.0 in n 4.301 * [taylor]: Taking taylor expansion of (log n) in n 4.301 * [taylor]: Taking taylor expansion of n in n 4.308 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.308 * [taylor]: Taking taylor expansion of 0.5 in n 4.308 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.308 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.308 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.308 * [taylor]: Taking taylor expansion of 2.0 in n 4.308 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.308 * [taylor]: Taking taylor expansion of PI in n 4.308 * [taylor]: Taking taylor expansion of n in n 4.309 * [taylor]: Taking taylor expansion of k in n 4.348 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 4.348 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.348 * [taylor]: Taking taylor expansion of +nan.0 in n 4.348 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.348 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.348 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.348 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.348 * [taylor]: Taking taylor expansion of 0.5 in n 4.348 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.348 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.348 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.348 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.348 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.348 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.348 * [taylor]: Taking taylor expansion of 1.0 in n 4.348 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.348 * [taylor]: Taking taylor expansion of 2.0 in n 4.350 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.350 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.350 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.350 * [taylor]: Taking taylor expansion of 1.0 in n 4.350 * [taylor]: Taking taylor expansion of (log PI) in n 4.350 * [taylor]: Taking taylor expansion of PI in n 4.352 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.352 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.352 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.352 * [taylor]: Taking taylor expansion of 1.0 in n 4.352 * [taylor]: Taking taylor expansion of (log n) in n 4.352 * [taylor]: Taking taylor expansion of n in n 4.366 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.366 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.366 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.366 * [taylor]: Taking taylor expansion of 0.5 in n 4.366 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.366 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.366 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.366 * [taylor]: Taking taylor expansion of 2.0 in n 4.366 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.366 * [taylor]: Taking taylor expansion of PI in n 4.366 * [taylor]: Taking taylor expansion of n in n 4.368 * [taylor]: Taking taylor expansion of k in n 4.443 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))))) in n 4.443 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 4.443 * [taylor]: Taking taylor expansion of +nan.0 in n 4.443 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 4.443 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 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 n 4.443 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.443 * [taylor]: Taking taylor expansion of 0.5 in n 4.443 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.443 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.443 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 4.443 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.443 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.443 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.443 * [taylor]: Taking taylor expansion of 1.0 in n 4.443 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.443 * [taylor]: Taking taylor expansion of 2.0 in n 4.445 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.445 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.445 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.445 * [taylor]: Taking taylor expansion of 1.0 in n 4.445 * [taylor]: Taking taylor expansion of (log PI) in n 4.445 * [taylor]: Taking taylor expansion of PI in n 4.447 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.447 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.447 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.447 * [taylor]: Taking taylor expansion of 1.0 in n 4.447 * [taylor]: Taking taylor expansion of (log n) in n 4.447 * [taylor]: Taking taylor expansion of n in n 4.462 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 4.462 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 4.462 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 4.462 * [taylor]: Taking taylor expansion of 0.5 in n 4.462 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 4.462 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 4.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.462 * [taylor]: Taking taylor expansion of 2.0 in n 4.462 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.462 * [taylor]: Taking taylor expansion of PI in n 4.462 * [taylor]: Taking taylor expansion of n in n 4.463 * [taylor]: Taking taylor expansion of k in n 4.484 * [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 4.484 * [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 4.484 * [taylor]: Taking taylor expansion of 1.0 in n 4.484 * [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 4.484 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 4.484 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 4.484 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 4.484 * [taylor]: Taking taylor expansion of (/ -1 k) in n 4.484 * [taylor]: Taking taylor expansion of -1 in n 4.484 * [taylor]: Taking taylor expansion of k in n 4.484 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 4.484 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 4.484 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 4.484 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 4.484 * [taylor]: Taking taylor expansion of -0.5 in n 4.484 * [taylor]: Taking taylor expansion of k in n 4.485 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.485 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.485 * [taylor]: Taking taylor expansion of -2.0 in n 4.485 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.485 * [taylor]: Taking taylor expansion of PI in n 4.485 * [taylor]: Taking taylor expansion of n in n 4.489 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.489 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.490 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.490 * [taylor]: Taking taylor expansion of 0.5 in n 4.490 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.490 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.490 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.490 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.490 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.490 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.490 * [taylor]: Taking taylor expansion of 1.0 in n 4.490 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.490 * [taylor]: Taking taylor expansion of -2.0 in n 4.491 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.491 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.491 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.491 * [taylor]: Taking taylor expansion of 1.0 in n 4.491 * [taylor]: Taking taylor expansion of (log PI) in n 4.491 * [taylor]: Taking taylor expansion of PI in n 4.493 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.493 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.493 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.493 * [taylor]: Taking taylor expansion of 1.0 in n 4.493 * [taylor]: Taking taylor expansion of (log n) in n 4.493 * [taylor]: Taking taylor expansion of n in n 4.500 * [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 4.500 * [taylor]: Taking taylor expansion of 1.0 in k 4.500 * [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 4.500 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.500 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.500 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.500 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.500 * [taylor]: Taking taylor expansion of -1 in k 4.500 * [taylor]: Taking taylor expansion of k in k 4.502 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.502 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.502 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.502 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.502 * [taylor]: Taking taylor expansion of -0.5 in k 4.502 * [taylor]: Taking taylor expansion of k in k 4.502 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.502 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.502 * [taylor]: Taking taylor expansion of -2.0 in k 4.502 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.502 * [taylor]: Taking taylor expansion of PI in k 4.502 * [taylor]: Taking taylor expansion of n in k 4.503 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.503 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.503 * [taylor]: Taking taylor expansion of 0.5 in k 4.503 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.503 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.503 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.503 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.503 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.503 * [taylor]: Taking taylor expansion of 1.0 in k 4.503 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.503 * [taylor]: Taking taylor expansion of -2.0 in k 4.505 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.505 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.505 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.505 * [taylor]: Taking taylor expansion of 1.0 in k 4.505 * [taylor]: Taking taylor expansion of (log PI) in k 4.505 * [taylor]: Taking taylor expansion of PI in k 4.507 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.507 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.507 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.507 * [taylor]: Taking taylor expansion of 1.0 in k 4.507 * [taylor]: Taking taylor expansion of (log n) in k 4.507 * [taylor]: Taking taylor expansion of n in k 4.513 * [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 4.513 * [taylor]: Taking taylor expansion of 1.0 in k 4.513 * [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 4.514 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 4.514 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 4.514 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 4.514 * [taylor]: Taking taylor expansion of (/ -1 k) in k 4.514 * [taylor]: Taking taylor expansion of -1 in k 4.514 * [taylor]: Taking taylor expansion of k in k 4.515 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 4.515 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 4.515 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 4.515 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 4.515 * [taylor]: Taking taylor expansion of -0.5 in k 4.515 * [taylor]: Taking taylor expansion of k in k 4.515 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 4.515 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 4.515 * [taylor]: Taking taylor expansion of -2.0 in k 4.515 * [taylor]: Taking taylor expansion of (/ PI n) in k 4.515 * [taylor]: Taking taylor expansion of PI in k 4.515 * [taylor]: Taking taylor expansion of n in k 4.516 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 4.516 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 4.516 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 4.516 * [taylor]: Taking taylor expansion of 0.5 in k 4.516 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 4.516 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 4.516 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 4.516 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 4.516 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 4.516 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 4.517 * [taylor]: Taking taylor expansion of 1.0 in k 4.517 * [taylor]: Taking taylor expansion of (log -2.0) in k 4.517 * [taylor]: Taking taylor expansion of -2.0 in k 4.518 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 4.518 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 4.518 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 4.518 * [taylor]: Taking taylor expansion of 1.0 in k 4.518 * [taylor]: Taking taylor expansion of (log PI) in k 4.518 * [taylor]: Taking taylor expansion of PI in k 4.520 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 4.520 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 4.520 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 4.520 * [taylor]: Taking taylor expansion of 1.0 in k 4.520 * [taylor]: Taking taylor expansion of (log n) in k 4.520 * [taylor]: Taking taylor expansion of n in k 4.529 * [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 4.530 * [taylor]: Taking taylor expansion of +nan.0 in n 4.530 * [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 4.530 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.530 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.530 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.530 * [taylor]: Taking taylor expansion of -0.5 in n 4.530 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.530 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.530 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.530 * [taylor]: Taking taylor expansion of -2.0 in n 4.530 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.530 * [taylor]: Taking taylor expansion of PI in n 4.530 * [taylor]: Taking taylor expansion of n in n 4.531 * [taylor]: Taking taylor expansion of k in n 4.535 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.536 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.536 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.536 * [taylor]: Taking taylor expansion of 0.5 in n 4.536 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.536 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.536 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.536 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.536 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.536 * [taylor]: Taking taylor expansion of 1.0 in n 4.536 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.536 * [taylor]: Taking taylor expansion of -2.0 in n 4.538 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.538 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.538 * [taylor]: Taking taylor expansion of 1.0 in n 4.538 * [taylor]: Taking taylor expansion of (log PI) in n 4.538 * [taylor]: Taking taylor expansion of PI in n 4.539 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.540 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.540 * [taylor]: Taking taylor expansion of 1.0 in n 4.540 * [taylor]: Taking taylor expansion of (log n) in n 4.540 * [taylor]: Taking taylor expansion of n in n 4.714 * [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 4.715 * [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 4.715 * [taylor]: Taking taylor expansion of +nan.0 in n 4.715 * [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 4.715 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.715 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.715 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.715 * [taylor]: Taking taylor expansion of -0.5 in n 4.715 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.715 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.715 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.715 * [taylor]: Taking taylor expansion of -2.0 in n 4.715 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.715 * [taylor]: Taking taylor expansion of PI in n 4.715 * [taylor]: Taking taylor expansion of n in n 4.716 * [taylor]: Taking taylor expansion of k in n 4.720 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.721 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.721 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.721 * [taylor]: Taking taylor expansion of 0.5 in n 4.721 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.721 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.721 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.721 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.721 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.721 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.721 * [taylor]: Taking taylor expansion of 1.0 in n 4.721 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.721 * [taylor]: Taking taylor expansion of -2.0 in n 4.722 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.722 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.722 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.722 * [taylor]: Taking taylor expansion of 1.0 in n 4.723 * [taylor]: Taking taylor expansion of (log PI) in n 4.723 * [taylor]: Taking taylor expansion of PI in n 4.724 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.724 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.724 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.724 * [taylor]: Taking taylor expansion of 1.0 in n 4.724 * [taylor]: Taking taylor expansion of (log n) in n 4.724 * [taylor]: Taking taylor expansion of n in n 4.795 * [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 4.795 * [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 4.795 * [taylor]: Taking taylor expansion of +nan.0 in n 4.795 * [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 4.795 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 4.795 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 4.795 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 4.795 * [taylor]: Taking taylor expansion of -0.5 in n 4.795 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 4.795 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 4.795 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.795 * [taylor]: Taking taylor expansion of -2.0 in n 4.795 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.795 * [taylor]: Taking taylor expansion of PI in n 4.795 * [taylor]: Taking taylor expansion of n in n 4.796 * [taylor]: Taking taylor expansion of k in n 4.801 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 4.801 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 4.801 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 4.801 * [taylor]: Taking taylor expansion of 0.5 in n 4.801 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 4.801 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 4.801 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 4.801 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 4.801 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 4.801 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 4.801 * [taylor]: Taking taylor expansion of 1.0 in n 4.801 * [taylor]: Taking taylor expansion of (log -2.0) in n 4.801 * [taylor]: Taking taylor expansion of -2.0 in n 4.803 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.803 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.803 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.803 * [taylor]: Taking taylor expansion of 1.0 in n 4.803 * [taylor]: Taking taylor expansion of (log PI) in n 4.803 * [taylor]: Taking taylor expansion of PI in n 4.805 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.805 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.805 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.805 * [taylor]: Taking taylor expansion of 1.0 in n 4.805 * [taylor]: Taking taylor expansion of (log n) in n 4.805 * [taylor]: Taking taylor expansion of n in n 4.826 * * * [progress]: simplifying candidates 4.831 * [simplify]: Simplifying using # : (* (* 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) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (log (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) (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) (log PI)) (log n)) (/ k 2.0))) (+ (log 1.0) (* (log (* (* 2.0 PI) 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) n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0))) (log (* 1.0 (pow (* (* 2.0 PI) 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)) (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) n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0))) (log (* 1.0 (pow (* (* 2.0 PI) 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 PI)) (log n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (* 1.0 (pow (* (* 2.0 PI) 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 PI)) (log n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0))) (log (* 1.0 (pow (* (* 2.0 PI) 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)) (log (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 (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (log (* (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) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (log 1.0) (* (+ (log (* 2.0 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) n)) (/ 1.0 2.0)))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (- (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (log (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (exp (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (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)))) (* (* (* 1.0 1.0) 1.0) (* (* (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) (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)))) (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 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) (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)))) (* (* (* 1.0 1.0) 1.0) (* (* (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)))) (* (* (* 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n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) 3) (pow (/ 1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) 3) (pow (/ 1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) 3) (pow (/ 1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) 3) (* (cbrt (/ 1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (cbrt (/ 1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))))) (cbrt (/ 1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (pow (/ 1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) 3) (sqrt (/ 1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (sqrt (/ 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))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))))) (/ (cbrt 1) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ (cbrt 1) (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt k) 1.0)) (/ (cbrt 1) (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (/ (* (cbrt 1) (cbrt 1)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (* (cbrt 1) 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))))) (/ 1 (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ 1 (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ 1 (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ (* 1 1.0) (sqrt k)) (/ 1 (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 1 (/ (* 1.0 (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)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))))) (/ 1 (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ 1 (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ 1 (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ (* 1 1.0) (sqrt k)) (/ 1 (/ (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) 1 (/ (* 1.0 (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)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* 1.0 (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))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1 (* (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))) (cbrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))))))) (/ 1 (sqrt (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))))) (/ (* 1 1.0) (sqrt k)) 1 (/ 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)))) (cbrt 1)) (/ (* (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 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 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) (log (* 2.0 PI))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)))) (- (* +nan.0 (* (pow k 2) (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log (* 2.0 PI)) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (- (* +nan.0 (* (pow k 3) (pow (/ 1 (* (pow 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 2) (log n)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* k (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (pow (log n) 2)) (pow (/ 1 (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) 0.5))) (- (* +nan.0 (* (* (pow k 3) (log (* 2.0 PI))) (pow (/ 1 (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5))) (* +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 (/ 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)))))) (- (* +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)))) (- (* +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))))) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (+ (- (* +nan.0 (* (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) (- (* +nan.0 (* (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* +nan.0 (* (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 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)))) (- (* +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))))) 4.894 * * * [progress]: adding candidates to table 5.210 * * [progress]: iteration 4 / 4 5.210 * * * [progress]: picking best candidate 5.237 * * * * [pick]: Picked # 5.237 * * * [progress]: localizing error 5.261 * * * [progress]: generating rewritten candidates 5.261 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1) 5.264 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.272 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 5.288 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 5.310 * * * [progress]: generating series expansions 5.310 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1) 5.310 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 5.312 * [approximate]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in (n) around 0 5.312 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.312 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.312 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.312 * [taylor]: Taking taylor expansion of 0.5 in n 5.312 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.312 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.312 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.312 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.312 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.312 * [taylor]: Taking taylor expansion of 1.0 in n 5.312 * [taylor]: Taking taylor expansion of (log PI) in n 5.312 * [taylor]: Taking taylor expansion of PI in n 5.314 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.314 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.314 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.314 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.314 * [taylor]: Taking taylor expansion of 1.0 in n 5.314 * [taylor]: Taking taylor expansion of (log n) in n 5.314 * [taylor]: Taking taylor expansion of n in n 5.315 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.315 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.315 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.315 * [taylor]: Taking taylor expansion of 1.0 in n 5.315 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.315 * [taylor]: Taking taylor expansion of 2.0 in n 5.320 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 5.320 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 5.320 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 5.320 * [taylor]: Taking taylor expansion of 0.5 in n 5.320 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 5.320 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 5.320 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.320 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.320 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.320 * [taylor]: Taking taylor expansion of 1.0 in n 5.320 * [taylor]: Taking taylor expansion of (log PI) in n 5.320 * [taylor]: Taking taylor expansion of PI in n 5.322 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 5.322 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.322 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.322 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.322 * [taylor]: Taking taylor expansion of 1.0 in n 5.322 * [taylor]: Taking taylor expansion of (log n) in n 5.322 * [taylor]: Taking taylor expansion of n in n 5.323 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.323 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.323 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.323 * [taylor]: Taking taylor expansion of 1.0 in n 5.323 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.323 * [taylor]: Taking taylor expansion of 2.0 in n 5.561 * [approximate]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in (n) around 0 5.562 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.562 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.562 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.562 * [taylor]: Taking taylor expansion of 0.5 in n 5.562 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.562 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.562 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.562 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.562 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.562 * [taylor]: Taking taylor expansion of 1.0 in n 5.562 * [taylor]: Taking taylor expansion of (log PI) in n 5.562 * [taylor]: Taking taylor expansion of PI in n 5.564 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.564 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.564 * [taylor]: Taking taylor expansion of 1.0 in n 5.564 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.564 * [taylor]: Taking taylor expansion of 2.0 in n 5.565 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.565 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.565 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.566 * [taylor]: Taking taylor expansion of 1.0 in n 5.566 * [taylor]: Taking taylor expansion of (log n) in n 5.566 * [taylor]: Taking taylor expansion of n in n 5.573 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 5.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 5.573 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 5.573 * [taylor]: Taking taylor expansion of 0.5 in n 5.573 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 5.573 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 5.573 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.573 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.573 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.573 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.573 * [taylor]: Taking taylor expansion of 1.0 in n 5.573 * [taylor]: Taking taylor expansion of (log PI) in n 5.573 * [taylor]: Taking taylor expansion of PI in n 5.575 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.575 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.575 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.575 * [taylor]: Taking taylor expansion of 1.0 in n 5.575 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.575 * [taylor]: Taking taylor expansion of 2.0 in n 5.576 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.576 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.577 * [taylor]: Taking taylor expansion of 1.0 in n 5.577 * [taylor]: Taking taylor expansion of (log n) in n 5.577 * [taylor]: Taking taylor expansion of n in n 5.839 * [approximate]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in (n) around 0 5.840 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in n 5.840 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in n 5.840 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in n 5.840 * [taylor]: Taking taylor expansion of 0.5 in n 5.840 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in n 5.840 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in n 5.840 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.840 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 5.840 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 5.840 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 5.840 * [taylor]: Taking taylor expansion of 1.0 in n 5.840 * [taylor]: Taking taylor expansion of (log -1) in n 5.840 * [taylor]: Taking taylor expansion of -1 in n 5.841 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.841 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.842 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.842 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.842 * [taylor]: Taking taylor expansion of 1.0 in n 5.842 * [taylor]: Taking taylor expansion of (log PI) in n 5.842 * [taylor]: Taking taylor expansion of PI in n 5.843 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.843 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.843 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.843 * [taylor]: Taking taylor expansion of 1.0 in n 5.843 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.843 * [taylor]: Taking taylor expansion of 2.0 in n 5.845 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.845 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.845 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.845 * [taylor]: Taking taylor expansion of 1.0 in n 5.845 * [taylor]: Taking taylor expansion of (log n) in n 5.845 * [taylor]: Taking taylor expansion of n in n 5.865 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in n 5.865 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in n 5.865 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in n 5.865 * [taylor]: Taking taylor expansion of 0.5 in n 5.865 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in n 5.865 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in n 5.865 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.865 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 5.865 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 5.865 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 5.865 * [taylor]: Taking taylor expansion of 1.0 in n 5.865 * [taylor]: Taking taylor expansion of (log -1) in n 5.865 * [taylor]: Taking taylor expansion of -1 in n 5.867 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.867 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.867 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.867 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.867 * [taylor]: Taking taylor expansion of 1.0 in n 5.867 * [taylor]: Taking taylor expansion of (log PI) in n 5.867 * [taylor]: Taking taylor expansion of PI in n 5.869 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.869 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.869 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.869 * [taylor]: Taking taylor expansion of 1.0 in n 5.869 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.869 * [taylor]: Taking taylor expansion of 2.0 in n 5.871 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.871 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.871 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.871 * [taylor]: Taking taylor expansion of 1.0 in n 5.871 * [taylor]: Taking taylor expansion of (log n) in n 5.871 * [taylor]: Taking taylor expansion of n in n 6.245 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.253 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in (n k) around 0 6.253 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in k 6.253 * [taylor]: Taking taylor expansion of 1.0 in k 6.253 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in k 6.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.253 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.253 * [taylor]: Taking taylor expansion of k in k 6.254 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in k 6.255 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 6.255 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 6.255 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 6.255 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 6.255 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 6.255 * [taylor]: Taking taylor expansion of 0.5 in k 6.255 * [taylor]: Taking taylor expansion of k in k 6.255 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 6.255 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 6.255 * [taylor]: Taking taylor expansion of 2.0 in k 6.255 * [taylor]: Taking taylor expansion of (* n PI) in k 6.255 * [taylor]: Taking taylor expansion of n in k 6.255 * [taylor]: Taking taylor expansion of PI in k 6.258 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 6.258 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 6.258 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 6.258 * [taylor]: Taking taylor expansion of 0.5 in k 6.258 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 6.258 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 6.258 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 6.258 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 6.258 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 6.258 * [taylor]: Taking taylor expansion of 1.0 in k 6.258 * [taylor]: Taking taylor expansion of (log PI) in k 6.258 * [taylor]: Taking taylor expansion of PI in k 6.260 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 6.260 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 6.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 6.260 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 6.260 * [taylor]: Taking taylor expansion of 1.0 in k 6.260 * [taylor]: Taking taylor expansion of (log n) in k 6.260 * [taylor]: Taking taylor expansion of n in k 6.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 6.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 6.260 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 6.260 * [taylor]: Taking taylor expansion of 1.0 in k 6.260 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.260 * [taylor]: Taking taylor expansion of 2.0 in k 6.265 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 6.265 * [taylor]: Taking taylor expansion of 1.0 in n 6.265 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.265 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.265 * [taylor]: Taking taylor expansion of k in n 6.265 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.265 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 6.265 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 6.265 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 6.265 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 6.265 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 6.265 * [taylor]: Taking taylor expansion of 0.5 in n 6.265 * [taylor]: Taking taylor expansion of k in n 6.265 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.265 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.265 * [taylor]: Taking taylor expansion of 2.0 in n 6.266 * [taylor]: Taking taylor expansion of (* n PI) in n 6.266 * [taylor]: Taking taylor expansion of n in n 6.266 * [taylor]: Taking taylor expansion of PI in n 6.271 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.271 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.271 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.271 * [taylor]: Taking taylor expansion of 0.5 in n 6.271 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.271 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.271 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.271 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.271 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.272 * [taylor]: Taking taylor expansion of 1.0 in n 6.272 * [taylor]: Taking taylor expansion of (log PI) in n 6.272 * [taylor]: Taking taylor expansion of PI in n 6.273 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.273 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.273 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.273 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.273 * [taylor]: Taking taylor expansion of 1.0 in n 6.273 * [taylor]: Taking taylor expansion of (log n) in n 6.273 * [taylor]: Taking taylor expansion of n in n 6.274 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.274 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.274 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.274 * [taylor]: Taking taylor expansion of 1.0 in n 6.274 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.274 * [taylor]: Taking taylor expansion of 2.0 in n 6.279 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 6.279 * [taylor]: Taking taylor expansion of 1.0 in n 6.279 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 6.279 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 6.279 * [taylor]: Taking taylor expansion of (/ 1 k) in n 6.279 * [taylor]: Taking taylor expansion of k in n 6.280 * [taylor]: Taking taylor expansion of (* (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 6.280 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 6.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 6.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 6.280 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 6.280 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 6.280 * [taylor]: Taking taylor expansion of 0.5 in n 6.280 * [taylor]: Taking taylor expansion of k in n 6.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 6.280 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 6.280 * [taylor]: Taking taylor expansion of 2.0 in n 6.280 * [taylor]: Taking taylor expansion of (* n PI) in n 6.280 * [taylor]: Taking taylor expansion of n in n 6.280 * [taylor]: Taking taylor expansion of PI in n 6.286 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 6.286 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 6.286 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 6.286 * [taylor]: Taking taylor expansion of 0.5 in n 6.286 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 6.286 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 6.286 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.286 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.286 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.286 * [taylor]: Taking taylor expansion of 1.0 in n 6.286 * [taylor]: Taking taylor expansion of (log PI) in n 6.286 * [taylor]: Taking taylor expansion of PI in n 6.288 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 6.288 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.288 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.288 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.288 * [taylor]: Taking taylor expansion of 1.0 in n 6.288 * [taylor]: Taking taylor expansion of (log n) in n 6.288 * [taylor]: Taking taylor expansion of n in n 6.289 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.289 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.289 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.289 * [taylor]: Taking taylor expansion of 1.0 in n 6.289 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.289 * [taylor]: Taking taylor expansion of 2.0 in n 6.298 * [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 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))))) in k 6.299 * [taylor]: Taking taylor expansion of 1.0 in k 6.299 * [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 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))))) in k 6.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 6.299 * [taylor]: Taking taylor expansion of (/ 1 k) in k 6.299 * [taylor]: Taking taylor expansion of k in k 6.300 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))))) in k 6.300 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 6.300 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 6.300 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 6.300 * [taylor]: Taking taylor expansion of 0.5 in k 6.300 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 6.300 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 6.300 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 6.300 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 6.300 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 6.300 * [taylor]: Taking taylor expansion of 1.0 in k 6.300 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.300 * [taylor]: Taking taylor expansion of 2.0 in k 6.302 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 6.302 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 6.302 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 6.302 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 6.302 * [taylor]: Taking taylor expansion of 1.0 in k 6.302 * [taylor]: Taking taylor expansion of (log n) in k 6.302 * [taylor]: Taking taylor expansion of n in k 6.302 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 6.302 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 6.302 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 6.302 * [taylor]: Taking taylor expansion of 1.0 in k 6.302 * [taylor]: Taking taylor expansion of (log PI) in k 6.302 * [taylor]: Taking taylor expansion of PI in k 6.308 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 6.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 6.308 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 6.308 * [taylor]: Taking taylor expansion of 0.5 in k 6.308 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 6.308 * [taylor]: Taking taylor expansion of k in k 6.308 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 6.308 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.308 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.308 * [taylor]: Taking taylor expansion of 2.0 in k 6.308 * [taylor]: Taking taylor expansion of PI in k 6.309 * [taylor]: Taking taylor expansion of (log n) in k 6.309 * [taylor]: Taking taylor expansion of n in k 6.344 * [taylor]: Taking taylor expansion of 0 in k 6.394 * [taylor]: Taking taylor expansion of 0 in k 6.491 * [taylor]: Taking taylor expansion of 0 in k 6.610 * [approximate]: 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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in (n k) around 0 6.611 * [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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in k 6.611 * [taylor]: Taking taylor expansion of 1.0 in k 6.611 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 6.611 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.611 * [taylor]: Taking taylor expansion of k in k 6.612 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 6.612 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 6.612 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 6.612 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 6.612 * [taylor]: Taking taylor expansion of 0.5 in k 6.612 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 6.612 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 6.612 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 6.612 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 6.612 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 6.612 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 6.612 * [taylor]: Taking taylor expansion of 1.0 in k 6.612 * [taylor]: Taking taylor expansion of (log PI) in k 6.612 * [taylor]: Taking taylor expansion of PI in k 6.614 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 6.614 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 6.614 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 6.614 * [taylor]: Taking taylor expansion of 1.0 in k 6.614 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.614 * [taylor]: Taking taylor expansion of 2.0 in k 6.616 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 6.616 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 6.616 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 6.616 * [taylor]: Taking taylor expansion of 1.0 in k 6.616 * [taylor]: Taking taylor expansion of (log n) in k 6.616 * [taylor]: Taking taylor expansion of n in k 6.622 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 6.622 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 6.622 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 6.622 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 6.622 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 6.622 * [taylor]: Taking taylor expansion of 0.5 in k 6.622 * [taylor]: Taking taylor expansion of k in k 6.623 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 6.623 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 6.623 * [taylor]: Taking taylor expansion of 2.0 in k 6.623 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.623 * [taylor]: Taking taylor expansion of PI in k 6.623 * [taylor]: Taking taylor expansion of n in k 6.623 * [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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 6.623 * [taylor]: Taking taylor expansion of 1.0 in n 6.623 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 6.623 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.623 * [taylor]: Taking taylor expansion of k in n 6.623 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 6.623 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 6.623 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 6.623 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 6.623 * [taylor]: Taking taylor expansion of 0.5 in n 6.623 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 6.623 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 6.623 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 6.623 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.623 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.623 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.623 * [taylor]: Taking taylor expansion of 1.0 in n 6.623 * [taylor]: Taking taylor expansion of (log PI) in n 6.623 * [taylor]: Taking taylor expansion of PI in n 6.625 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.625 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.625 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.625 * [taylor]: Taking taylor expansion of 1.0 in n 6.625 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.625 * [taylor]: Taking taylor expansion of 2.0 in n 6.627 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.627 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.627 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.627 * [taylor]: Taking taylor expansion of 1.0 in n 6.627 * [taylor]: Taking taylor expansion of (log n) in n 6.627 * [taylor]: Taking taylor expansion of n in n 6.634 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 6.634 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 6.634 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 6.634 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 6.634 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 6.634 * [taylor]: Taking taylor expansion of 0.5 in n 6.634 * [taylor]: Taking taylor expansion of k in n 6.634 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.634 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.634 * [taylor]: Taking taylor expansion of 2.0 in n 6.634 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.634 * [taylor]: Taking taylor expansion of PI in n 6.634 * [taylor]: Taking taylor expansion of n in n 6.638 * [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 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))))) in n 6.638 * [taylor]: Taking taylor expansion of 1.0 in n 6.638 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 6.638 * [taylor]: Taking taylor expansion of (sqrt k) in n 6.638 * [taylor]: Taking taylor expansion of k in n 6.639 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 6.639 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in n 6.639 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in n 6.639 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in n 6.639 * [taylor]: Taking taylor expansion of 0.5 in n 6.639 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in n 6.639 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in n 6.639 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 6.639 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.639 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.639 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.639 * [taylor]: Taking taylor expansion of 1.0 in n 6.639 * [taylor]: Taking taylor expansion of (log PI) in n 6.639 * [taylor]: Taking taylor expansion of PI in n 6.641 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.641 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.641 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.641 * [taylor]: Taking taylor expansion of 1.0 in n 6.641 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.641 * [taylor]: Taking taylor expansion of 2.0 in n 6.642 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.642 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.642 * [taylor]: Taking taylor expansion of 1.0 in n 6.642 * [taylor]: Taking taylor expansion of (log n) in n 6.642 * [taylor]: Taking taylor expansion of n in n 6.649 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 6.649 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 6.649 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 6.649 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 6.649 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 6.649 * [taylor]: Taking taylor expansion of 0.5 in n 6.649 * [taylor]: Taking taylor expansion of k in n 6.649 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 6.649 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 6.649 * [taylor]: Taking taylor expansion of 2.0 in n 6.649 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.649 * [taylor]: Taking taylor expansion of PI in n 6.649 * [taylor]: Taking taylor expansion of n in n 6.659 * [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 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))))) in k 6.660 * [taylor]: Taking taylor expansion of 1.0 in k 6.660 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))))) in k 6.660 * [taylor]: Taking taylor expansion of (sqrt k) in k 6.660 * [taylor]: Taking taylor expansion of k in k 6.661 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))))) in k 6.661 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 6.661 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 6.661 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 6.661 * [taylor]: Taking taylor expansion of 0.5 in k 6.661 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 6.661 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 6.661 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 6.661 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 6.661 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 6.661 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 6.661 * [taylor]: Taking taylor expansion of 1.0 in k 6.661 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.661 * [taylor]: Taking taylor expansion of 2.0 in k 6.663 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 6.663 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 6.663 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 6.663 * [taylor]: Taking taylor expansion of 1.0 in k 6.663 * [taylor]: Taking taylor expansion of (log PI) in k 6.663 * [taylor]: Taking taylor expansion of PI in k 6.664 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 6.665 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 6.665 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 6.665 * [taylor]: Taking taylor expansion of 1.0 in k 6.665 * [taylor]: Taking taylor expansion of (log n) in k 6.665 * [taylor]: Taking taylor expansion of n in k 6.671 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 6.671 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 6.671 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 6.671 * [taylor]: Taking taylor expansion of 0.5 in k 6.671 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 6.671 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 6.671 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 6.671 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 6.671 * [taylor]: Taking taylor expansion of 2.0 in k 6.671 * [taylor]: Taking taylor expansion of PI in k 6.672 * [taylor]: Taking taylor expansion of (log n) in k 6.672 * [taylor]: Taking taylor expansion of n in k 6.672 * [taylor]: Taking taylor expansion of k in k 6.710 * [taylor]: Taking taylor expansion of 0 in k 6.772 * [taylor]: Taking taylor expansion of 0 in k 6.854 * [taylor]: Taking taylor expansion of 0 in k 6.906 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))))) in (n k) around 0 6.906 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))))) in k 6.906 * [taylor]: Taking taylor expansion of 1.0 in k 6.906 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in k 6.907 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in k 6.907 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in k 6.907 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in k 6.907 * [taylor]: Taking taylor expansion of 0.5 in k 6.907 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in k 6.907 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in k 6.907 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 6.907 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 6.907 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 6.907 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 6.907 * [taylor]: Taking taylor expansion of 1.0 in k 6.907 * [taylor]: Taking taylor expansion of (log -1) in k 6.907 * [taylor]: Taking taylor expansion of -1 in k 6.908 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 6.908 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 6.909 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 6.909 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 6.909 * [taylor]: Taking taylor expansion of 1.0 in k 6.909 * [taylor]: Taking taylor expansion of (log PI) in k 6.909 * [taylor]: Taking taylor expansion of PI in k 6.910 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 6.910 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 6.910 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 6.910 * [taylor]: Taking taylor expansion of 1.0 in k 6.910 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.910 * [taylor]: Taking taylor expansion of 2.0 in k 6.912 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 6.912 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 6.912 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 6.912 * [taylor]: Taking taylor expansion of 1.0 in k 6.912 * [taylor]: Taking taylor expansion of (log n) in k 6.912 * [taylor]: Taking taylor expansion of n in k 6.925 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 6.925 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 6.925 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 6.925 * [taylor]: Taking taylor expansion of (/ -1 k) in k 6.925 * [taylor]: Taking taylor expansion of -1 in k 6.925 * [taylor]: Taking taylor expansion of k in k 6.926 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 6.926 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 6.926 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 6.926 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 6.926 * [taylor]: Taking taylor expansion of -0.5 in k 6.926 * [taylor]: Taking taylor expansion of k in k 6.927 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 6.927 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 6.927 * [taylor]: Taking taylor expansion of -2.0 in k 6.927 * [taylor]: Taking taylor expansion of (/ PI n) in k 6.927 * [taylor]: Taking taylor expansion of PI in k 6.927 * [taylor]: Taking taylor expansion of n in k 6.928 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))))) in n 6.928 * [taylor]: Taking taylor expansion of 1.0 in n 6.928 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 6.928 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in n 6.928 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in n 6.928 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in n 6.928 * [taylor]: Taking taylor expansion of 0.5 in n 6.928 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in n 6.928 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in n 6.928 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 6.928 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 6.928 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 6.928 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 6.928 * [taylor]: Taking taylor expansion of 1.0 in n 6.928 * [taylor]: Taking taylor expansion of (log -1) in n 6.928 * [taylor]: Taking taylor expansion of -1 in n 6.930 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 6.930 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.930 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.930 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.930 * [taylor]: Taking taylor expansion of 1.0 in n 6.930 * [taylor]: Taking taylor expansion of (log PI) in n 6.930 * [taylor]: Taking taylor expansion of PI in n 6.931 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.932 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.932 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.932 * [taylor]: Taking taylor expansion of 1.0 in n 6.932 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.932 * [taylor]: Taking taylor expansion of 2.0 in n 6.940 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.940 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.940 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.940 * [taylor]: Taking taylor expansion of 1.0 in n 6.940 * [taylor]: Taking taylor expansion of (log n) in n 6.940 * [taylor]: Taking taylor expansion of n in n 6.953 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 6.953 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 6.953 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.953 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.953 * [taylor]: Taking taylor expansion of -1 in n 6.953 * [taylor]: Taking taylor expansion of k in n 6.953 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 6.953 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 6.953 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 6.953 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 6.953 * [taylor]: Taking taylor expansion of -0.5 in n 6.953 * [taylor]: Taking taylor expansion of k in n 6.953 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.953 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.953 * [taylor]: Taking taylor expansion of -2.0 in n 6.953 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.954 * [taylor]: Taking taylor expansion of PI in n 6.954 * [taylor]: Taking taylor expansion of n in n 6.958 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))))) in n 6.958 * [taylor]: Taking taylor expansion of 1.0 in n 6.958 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))))) in n 6.958 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in n 6.958 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in n 6.958 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in n 6.959 * [taylor]: Taking taylor expansion of 0.5 in n 6.959 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in n 6.959 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in n 6.959 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 6.959 * [taylor]: Taking taylor expansion of (pow -1 1.0) in n 6.959 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in n 6.959 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in n 6.959 * [taylor]: Taking taylor expansion of 1.0 in n 6.959 * [taylor]: Taking taylor expansion of (log -1) in n 6.959 * [taylor]: Taking taylor expansion of -1 in n 6.960 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 6.960 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 6.960 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 6.960 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 6.960 * [taylor]: Taking taylor expansion of 1.0 in n 6.960 * [taylor]: Taking taylor expansion of (log PI) in n 6.960 * [taylor]: Taking taylor expansion of PI in n 6.962 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 6.962 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 6.962 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 6.962 * [taylor]: Taking taylor expansion of 1.0 in n 6.962 * [taylor]: Taking taylor expansion of (log 2.0) in n 6.962 * [taylor]: Taking taylor expansion of 2.0 in n 6.964 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 6.964 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 6.964 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 6.964 * [taylor]: Taking taylor expansion of 1.0 in n 6.964 * [taylor]: Taking taylor expansion of (log n) in n 6.964 * [taylor]: Taking taylor expansion of n in n 6.977 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 6.977 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 6.977 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 6.977 * [taylor]: Taking taylor expansion of (/ -1 k) in n 6.977 * [taylor]: Taking taylor expansion of -1 in n 6.977 * [taylor]: Taking taylor expansion of k in n 6.977 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 6.977 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 6.977 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 6.977 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 6.977 * [taylor]: Taking taylor expansion of -0.5 in n 6.977 * [taylor]: Taking taylor expansion of k in n 6.977 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 6.977 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 6.977 * [taylor]: Taking taylor expansion of -2.0 in n 6.977 * [taylor]: Taking taylor expansion of (/ PI n) in n 6.978 * [taylor]: Taking taylor expansion of PI in n 6.978 * [taylor]: Taking taylor expansion of n in n 6.988 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (/ (* (pow -1 1.0) (* (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))) (sqrt (/ -1 k)))))) in k 6.988 * [taylor]: Taking taylor expansion of 1.0 in k 6.988 * [taylor]: Taking taylor expansion of (* (pow (/ (* (pow -1 1.0) (* (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))) (sqrt (/ -1 k))))) in k 6.988 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) 0.5) in k 6.988 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))))) in k 6.988 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)))) in k 6.988 * [taylor]: Taking taylor expansion of 0.5 in k 6.988 * [taylor]: Taking taylor expansion of (log (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0))) in k 6.988 * [taylor]: Taking taylor expansion of (/ (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) (pow n 1.0)) in k 6.988 * [taylor]: Taking taylor expansion of (* (pow -1 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in k 6.988 * [taylor]: Taking taylor expansion of (pow -1 1.0) in k 6.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -1))) in k 6.988 * [taylor]: Taking taylor expansion of (* 1.0 (log -1)) in k 6.988 * [taylor]: Taking taylor expansion of 1.0 in k 6.989 * [taylor]: Taking taylor expansion of (log -1) in k 6.989 * [taylor]: Taking taylor expansion of -1 in k 6.990 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 6.990 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 6.990 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 6.990 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 6.990 * [taylor]: Taking taylor expansion of 1.0 in k 6.990 * [taylor]: Taking taylor expansion of (log PI) in k 6.990 * [taylor]: Taking taylor expansion of PI in k 6.992 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 6.992 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 6.992 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 6.992 * [taylor]: Taking taylor expansion of 1.0 in k 6.992 * [taylor]: Taking taylor expansion of (log 2.0) in k 6.992 * [taylor]: Taking taylor expansion of 2.0 in k 6.994 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 6.994 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 6.994 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 6.994 * [taylor]: Taking taylor expansion of 1.0 in k 6.994 * [taylor]: Taking taylor expansion of (log n) in k 6.994 * [taylor]: Taking taylor expansion of n in k 7.007 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 7.007 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 7.008 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 7.008 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 7.008 * [taylor]: Taking taylor expansion of -0.5 in k 7.008 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 7.008 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 7.008 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 7.008 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 7.008 * [taylor]: Taking taylor expansion of -2.0 in k 7.008 * [taylor]: Taking taylor expansion of PI in k 7.009 * [taylor]: Taking taylor expansion of (log n) in k 7.009 * [taylor]: Taking taylor expansion of n in k 7.009 * [taylor]: Taking taylor expansion of k in k 7.012 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.012 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.012 * [taylor]: Taking taylor expansion of -1 in k 7.012 * [taylor]: Taking taylor expansion of k in k 7.062 * [taylor]: Taking taylor expansion of 0 in k 7.148 * [taylor]: Taking taylor expansion of 0 in k 7.216 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 7.216 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 7.216 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.216 * [taylor]: Taking taylor expansion of 2.0 in n 7.216 * [taylor]: Taking taylor expansion of (* n PI) in n 7.216 * [taylor]: Taking taylor expansion of n in n 7.216 * [taylor]: Taking taylor expansion of PI in n 7.216 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.216 * [taylor]: Taking taylor expansion of 2.0 in n 7.216 * [taylor]: Taking taylor expansion of (* n PI) in n 7.216 * [taylor]: Taking taylor expansion of n in n 7.216 * [taylor]: Taking taylor expansion of PI in n 7.228 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 7.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.228 * [taylor]: Taking taylor expansion of 2.0 in n 7.228 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.228 * [taylor]: Taking taylor expansion of PI in n 7.228 * [taylor]: Taking taylor expansion of n in n 7.229 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.229 * [taylor]: Taking taylor expansion of 2.0 in n 7.229 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.229 * [taylor]: Taking taylor expansion of PI in n 7.229 * [taylor]: Taking taylor expansion of n in n 7.237 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 7.237 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.237 * [taylor]: Taking taylor expansion of -2.0 in n 7.237 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.237 * [taylor]: Taking taylor expansion of PI in n 7.237 * [taylor]: Taking taylor expansion of n in n 7.238 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.238 * [taylor]: Taking taylor expansion of -2.0 in n 7.238 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.238 * [taylor]: Taking taylor expansion of PI in n 7.238 * [taylor]: Taking taylor expansion of n in n 7.246 * * * [progress]: simplifying candidates 7.250 * [simplify]: Simplifying using # : (* (+ (log 2.0) (log PI)) (/ 1.0 2.0)) (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* 2.0 PI) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* 2.0 PI) (sqrt (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* 2.0 PI) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* 2.0 PI) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* 2.0 PI) (/ (sqrt 1.0) 1)) (pow (* 2.0 PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 PI) (/ 1 (sqrt 2.0))) (pow (* 2.0 PI) (/ 1 1)) (pow (* 2.0 PI) 1) (pow (* 2.0 PI) 1.0) (pow 2.0 (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)) (log (pow (* 2.0 PI) (/ 1.0 2.0))) (exp (pow (* 2.0 PI) (/ 1.0 2.0))) (* (cbrt (pow (* 2.0 PI) (/ 1.0 2.0))) (cbrt (pow (* 2.0 PI) (/ 1.0 2.0)))) (cbrt (pow (* 2.0 PI) (/ 1.0 2.0))) (* (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (* (* 2.0 PI) n) (+ (* (+ (log 2.0) (log PI)) (/ 1.0 2.0)) (* (log n) (/ 1.0 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ 1.0 2.0)) (* (log n) (/ 1.0 2.0))) (+ (* (+ (log 2.0) (log PI)) (/ 1.0 2.0)) (log (pow n (/ 1.0 2.0)))) (+ (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* (log n) (/ 1.0 2.0))) (+ (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* (log n) (/ 1.0 2.0))) (+ (* (log (* 2.0 PI)) (/ 1.0 2.0)) (log (pow n (/ 1.0 2.0)))) (+ (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* (log n) (/ 1.0 2.0))) (+ (* (log (* 2.0 PI)) (/ 1.0 2.0)) (* (log n) (/ 1.0 2.0))) (+ (* (log (* 2.0 PI)) (/ 1.0 2.0)) (log (pow n (/ 1.0 2.0)))) (+ (log (pow (* 2.0 PI) (/ 1.0 2.0))) (* (log n) (/ 1.0 2.0))) (+ (log (pow (* 2.0 PI) (/ 1.0 2.0))) (* (log n) (/ 1.0 2.0))) (+ (log (pow (* 2.0 PI) (/ 1.0 2.0))) (log (pow n (/ 1.0 2.0)))) (log (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (exp (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (* (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (* (pow n (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (pow n (/ 1.0 2.0)))) (* (cbrt (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (cbrt (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))))) (cbrt (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (* (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (sqrt (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (sqrt n) (/ 1.0 2.0))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow n (/ 1.0 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt (pow n (/ 1.0 2.0)))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (/ 1.0 2.0) 2))) (* (sqrt (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ (/ 1.0 2.0) 2))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* 2.0 PI) (/ (/ 1.0 2.0) 2)) (pow (sqrt n) (/ 1.0 2.0))) (* (pow (* 2.0 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k)) (/ (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow 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) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))))) (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (* 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) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (* (pow k 2) (* (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 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (pow 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))) (- (+ (* +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 PI 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (/ 1 (* 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(/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))) (pow (* (* 2.0 PI) 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) (/ 1.0 2.0)) (pow n (/ 1.0 2.0))))) (/ (* 1.0 (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (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 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 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 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (* +nan.0 (* (pow 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)))) (- (* +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 PI 1.0) (pow 2.0 1.0))) 0.5)))) (- (* +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (* (pow n 1.0) (* (pow PI 1.0) (pow 2.0 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))) 0.5))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 7.297 * * * [progress]: adding candidates to table 7.635 * [progress]: [Phase 3 of 3] Extracting. 7.635 * * [regime]: Finding splitpoints for: (# # # # # # #) 7.640 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 7.640 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # #) 7.681 * * * * [regimes]: Trying to branch on n from (# # # # # # #) 7.720 * * * * [regimes]: Trying to branch on k from (# # # # # # #) 7.760 * * * [regime]: Found split indices: #