8.546 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.154 * * * [progress]: [2/2] Setting up program. 0.156 * [progress]: [Phase 2 of 3] Improving. 0.157 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.159 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.160 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.162 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.165 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.171 * * [simplify]: iteration 4 : 1044 enodes (cost 8 ) 0.193 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.193 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.194 * * [progress]: iteration 1 / 4 0.194 * * * [progress]: picking best candidate 0.196 * * * * [pick]: Picked # 0.196 * * * [progress]: localizing error 0.210 * * * [progress]: generating rewritten candidates 0.210 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.212 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.219 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.222 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.227 * * * [progress]: generating series expansions 0.227 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.227 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.227 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.227 * [taylor]: Taking taylor expansion of 1.0 in k 0.227 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.227 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.227 * [taylor]: Taking taylor expansion of k in k 0.229 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.229 * [taylor]: Taking taylor expansion of 1.0 in k 0.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.229 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.229 * [taylor]: Taking taylor expansion of k in k 0.241 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.241 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.241 * [taylor]: Taking taylor expansion of 1.0 in k 0.241 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.241 * [taylor]: Taking taylor expansion of k in k 0.242 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.242 * [taylor]: Taking taylor expansion of 1.0 in k 0.242 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.242 * [taylor]: Taking taylor expansion of k in k 0.252 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.252 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.252 * [taylor]: Taking taylor expansion of 1.0 in k 0.252 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.252 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.252 * [taylor]: Taking taylor expansion of -1 in k 0.252 * [taylor]: Taking taylor expansion of k in k 0.254 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.254 * [taylor]: Taking taylor expansion of 1.0 in k 0.254 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.254 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.254 * [taylor]: Taking taylor expansion of -1 in k 0.254 * [taylor]: Taking taylor expansion of k in k 0.266 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.266 * [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 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.266 * [taylor]: Taking taylor expansion of 1.0 in n 0.266 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.266 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.266 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.266 * [taylor]: Taking taylor expansion of k in n 0.266 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.266 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.266 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.266 * [taylor]: Taking taylor expansion of 0.5 in n 0.266 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.266 * [taylor]: Taking taylor expansion of 1.0 in n 0.267 * [taylor]: Taking taylor expansion of k in n 0.267 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.267 * [taylor]: Taking taylor expansion of 2.0 in n 0.267 * [taylor]: Taking taylor expansion of (* n PI) in n 0.267 * [taylor]: Taking taylor expansion of n in n 0.267 * [taylor]: Taking taylor expansion of PI in n 0.272 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.272 * [taylor]: Taking taylor expansion of 1.0 in k 0.272 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.272 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.272 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.272 * [taylor]: Taking taylor expansion of k in k 0.277 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.277 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.277 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.277 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.277 * [taylor]: Taking taylor expansion of 0.5 in k 0.277 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.277 * [taylor]: Taking taylor expansion of 1.0 in k 0.277 * [taylor]: Taking taylor expansion of k in k 0.277 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.277 * [taylor]: Taking taylor expansion of 2.0 in k 0.277 * [taylor]: Taking taylor expansion of (* n PI) in k 0.277 * [taylor]: Taking taylor expansion of n in k 0.277 * [taylor]: Taking taylor expansion of PI in k 0.278 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.278 * [taylor]: Taking taylor expansion of 1.0 in k 0.278 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.278 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.278 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.278 * [taylor]: Taking taylor expansion of k in k 0.280 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.280 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.280 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.280 * [taylor]: Taking taylor expansion of 0.5 in k 0.280 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.280 * [taylor]: Taking taylor expansion of 1.0 in k 0.280 * [taylor]: Taking taylor expansion of k in k 0.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.280 * [taylor]: Taking taylor expansion of 2.0 in k 0.280 * [taylor]: Taking taylor expansion of (* n PI) in k 0.280 * [taylor]: Taking taylor expansion of n in k 0.280 * [taylor]: Taking taylor expansion of PI in k 0.281 * [taylor]: Taking taylor expansion of 0 in n 0.287 * [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 0.287 * [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 0.287 * [taylor]: Taking taylor expansion of +nan.0 in n 0.287 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.287 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.287 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.287 * [taylor]: Taking taylor expansion of 0.5 in n 0.287 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.287 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.287 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.287 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.287 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.287 * [taylor]: Taking taylor expansion of 1.0 in n 0.287 * [taylor]: Taking taylor expansion of (log PI) in n 0.287 * [taylor]: Taking taylor expansion of PI in n 0.289 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.289 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.289 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.289 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.289 * [taylor]: Taking taylor expansion of 1.0 in n 0.289 * [taylor]: Taking taylor expansion of (log n) in n 0.289 * [taylor]: Taking taylor expansion of n in n 0.289 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.290 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.290 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.290 * [taylor]: Taking taylor expansion of 1.0 in n 0.290 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.290 * [taylor]: Taking taylor expansion of 2.0 in n 0.309 * [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 0.309 * [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 0.309 * [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 0.309 * [taylor]: Taking taylor expansion of +nan.0 in n 0.309 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.309 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.309 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.309 * [taylor]: Taking taylor expansion of 0.5 in n 0.309 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.309 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.309 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.309 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.309 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.309 * [taylor]: Taking taylor expansion of 1.0 in n 0.309 * [taylor]: Taking taylor expansion of (log PI) in n 0.309 * [taylor]: Taking taylor expansion of PI in n 0.311 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.311 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.311 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.311 * [taylor]: Taking taylor expansion of 1.0 in n 0.311 * [taylor]: Taking taylor expansion of (log n) in n 0.311 * [taylor]: Taking taylor expansion of n in n 0.311 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.311 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.312 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.312 * [taylor]: Taking taylor expansion of 1.0 in n 0.312 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.312 * [taylor]: Taking taylor expansion of 2.0 in n 0.317 * [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 0.317 * [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 0.317 * [taylor]: Taking taylor expansion of +nan.0 in n 0.317 * [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 0.317 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.317 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.317 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.317 * [taylor]: Taking taylor expansion of 0.5 in n 0.317 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.317 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.317 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.317 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.317 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.317 * [taylor]: Taking taylor expansion of 1.0 in n 0.317 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.317 * [taylor]: Taking taylor expansion of 2.0 in n 0.319 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.319 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.319 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.319 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.319 * [taylor]: Taking taylor expansion of 1.0 in n 0.319 * [taylor]: Taking taylor expansion of (log PI) in n 0.319 * [taylor]: Taking taylor expansion of PI in n 0.321 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.321 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.321 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.321 * [taylor]: Taking taylor expansion of 1.0 in n 0.321 * [taylor]: Taking taylor expansion of (log n) in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.325 * [taylor]: Taking taylor expansion of 2.0 in n 0.325 * [taylor]: Taking taylor expansion of (* n PI) in n 0.325 * [taylor]: Taking taylor expansion of n in n 0.325 * [taylor]: Taking taylor expansion of PI in n 0.378 * [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 0.378 * [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 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of +nan.0 in n 0.378 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.378 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.378 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.378 * [taylor]: Taking taylor expansion of 0.5 in n 0.378 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.378 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.378 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.378 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.379 * [taylor]: Taking taylor expansion of 1.0 in n 0.379 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.379 * [taylor]: Taking taylor expansion of 2.0 in n 0.380 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.380 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.380 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.380 * [taylor]: Taking taylor expansion of 1.0 in n 0.380 * [taylor]: Taking taylor expansion of (log n) in n 0.380 * [taylor]: Taking taylor expansion of n in n 0.381 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.381 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.381 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.381 * [taylor]: Taking taylor expansion of 1.0 in n 0.381 * [taylor]: Taking taylor expansion of (log PI) in n 0.381 * [taylor]: Taking taylor expansion of PI in n 0.387 * [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 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of +nan.0 in n 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.387 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.387 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.387 * [taylor]: Taking taylor expansion of 0.5 in n 0.387 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.387 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.387 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.387 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.387 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.387 * [taylor]: Taking taylor expansion of 1.0 in n 0.387 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.387 * [taylor]: Taking taylor expansion of 2.0 in n 0.389 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.389 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.389 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.389 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.389 * [taylor]: Taking taylor expansion of 1.0 in n 0.389 * [taylor]: Taking taylor expansion of (log PI) in n 0.389 * [taylor]: Taking taylor expansion of PI in n 0.391 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.391 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.391 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.391 * [taylor]: Taking taylor expansion of 1.0 in n 0.391 * [taylor]: Taking taylor expansion of (log n) in n 0.391 * [taylor]: Taking taylor expansion of n in n 0.395 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.395 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.395 * [taylor]: Taking taylor expansion of 2.0 in n 0.395 * [taylor]: Taking taylor expansion of (* n PI) in n 0.395 * [taylor]: Taking taylor expansion of n in n 0.395 * [taylor]: Taking taylor expansion of PI in n 0.398 * [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 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of +nan.0 in n 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) in n 0.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))))) in n 0.398 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))))) in n 0.398 * [taylor]: Taking taylor expansion of 0.5 in n 0.398 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0)))) in n 0.398 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) in n 0.398 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.398 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.398 * [taylor]: Taking taylor expansion of 1.0 in n 0.398 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.398 * [taylor]: Taking taylor expansion of 2.0 in n 0.400 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow n 1.0)) in n 0.400 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.400 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.400 * [taylor]: Taking taylor expansion of 1.0 in n 0.400 * [taylor]: Taking taylor expansion of (log PI) in n 0.400 * [taylor]: Taking taylor expansion of PI in n 0.402 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.402 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.402 * [taylor]: Taking taylor expansion of 1.0 in n 0.402 * [taylor]: Taking taylor expansion of (log n) in n 0.402 * [taylor]: Taking taylor expansion of n in n 0.406 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.406 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.406 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.406 * [taylor]: Taking taylor expansion of 2.0 in n 0.406 * [taylor]: Taking taylor expansion of (* n PI) in n 0.406 * [taylor]: Taking taylor expansion of n in n 0.406 * [taylor]: Taking taylor expansion of PI in n 0.482 * [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 0.482 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.482 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.482 * [taylor]: Taking taylor expansion of k in n 0.482 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.482 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.482 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.482 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.482 * [taylor]: Taking taylor expansion of 0.5 in n 0.482 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.482 * [taylor]: Taking taylor expansion of 1.0 in n 0.482 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.482 * [taylor]: Taking taylor expansion of k in n 0.482 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.482 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.482 * [taylor]: Taking taylor expansion of 2.0 in n 0.482 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.482 * [taylor]: Taking taylor expansion of PI in n 0.482 * [taylor]: Taking taylor expansion of n in n 0.486 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.486 * [taylor]: Taking taylor expansion of 1.0 in k 0.486 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.486 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.486 * [taylor]: Taking taylor expansion of k in k 0.487 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.487 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.487 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.487 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.487 * [taylor]: Taking taylor expansion of 0.5 in k 0.487 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.487 * [taylor]: Taking taylor expansion of 1.0 in k 0.487 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.487 * [taylor]: Taking taylor expansion of k in k 0.488 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.488 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.488 * [taylor]: Taking taylor expansion of 2.0 in k 0.488 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.488 * [taylor]: Taking taylor expansion of PI in k 0.488 * [taylor]: Taking taylor expansion of n in k 0.489 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.489 * [taylor]: Taking taylor expansion of 1.0 in k 0.489 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.489 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.489 * [taylor]: Taking taylor expansion of k in k 0.490 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.490 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.490 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.490 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.490 * [taylor]: Taking taylor expansion of 0.5 in k 0.490 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.490 * [taylor]: Taking taylor expansion of 1.0 in k 0.490 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.490 * [taylor]: Taking taylor expansion of k in k 0.490 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.490 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.490 * [taylor]: Taking taylor expansion of 2.0 in k 0.490 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.490 * [taylor]: Taking taylor expansion of PI in k 0.490 * [taylor]: Taking taylor expansion of n in k 0.492 * [taylor]: Taking taylor expansion of 0 in n 0.493 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.493 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.493 * [taylor]: Taking taylor expansion of +nan.0 in n 0.493 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.493 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.493 * [taylor]: Taking taylor expansion of 0.5 in n 0.493 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.493 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.493 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.493 * [taylor]: Taking taylor expansion of 2.0 in n 0.493 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.493 * [taylor]: Taking taylor expansion of PI in n 0.493 * [taylor]: Taking taylor expansion of n in n 0.494 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.494 * [taylor]: Taking taylor expansion of 1.0 in n 0.494 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.494 * [taylor]: Taking taylor expansion of k in n 0.503 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.503 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.503 * [taylor]: Taking taylor expansion of +nan.0 in n 0.503 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.503 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.503 * [taylor]: Taking taylor expansion of 0.5 in n 0.503 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.503 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.503 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.503 * [taylor]: Taking taylor expansion of 2.0 in n 0.503 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.503 * [taylor]: Taking taylor expansion of PI in n 0.503 * [taylor]: Taking taylor expansion of n in n 0.504 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.504 * [taylor]: Taking taylor expansion of 1.0 in n 0.504 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.504 * [taylor]: Taking taylor expansion of k in n 0.521 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.521 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.521 * [taylor]: Taking taylor expansion of +nan.0 in n 0.521 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.521 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.521 * [taylor]: Taking taylor expansion of 0.5 in n 0.521 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.521 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.521 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.521 * [taylor]: Taking taylor expansion of 2.0 in n 0.521 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.521 * [taylor]: Taking taylor expansion of PI in n 0.521 * [taylor]: Taking taylor expansion of n in n 0.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.522 * [taylor]: Taking taylor expansion of 1.0 in n 0.522 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.522 * [taylor]: Taking taylor expansion of k in n 0.531 * [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 0.531 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.531 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.531 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.531 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.531 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.531 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.531 * [taylor]: Taking taylor expansion of 0.5 in n 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.531 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.531 * [taylor]: Taking taylor expansion of k in n 0.531 * [taylor]: Taking taylor expansion of 1.0 in n 0.532 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.532 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.532 * [taylor]: Taking taylor expansion of -2.0 in n 0.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.532 * [taylor]: Taking taylor expansion of PI in n 0.532 * [taylor]: Taking taylor expansion of n in n 0.535 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.536 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.536 * [taylor]: Taking taylor expansion of -1 in n 0.536 * [taylor]: Taking taylor expansion of k in n 0.536 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.537 * [taylor]: Taking taylor expansion of 1.0 in k 0.537 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.537 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.537 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.537 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.537 * [taylor]: Taking taylor expansion of 0.5 in k 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.537 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.537 * [taylor]: Taking taylor expansion of k in k 0.537 * [taylor]: Taking taylor expansion of 1.0 in k 0.537 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.537 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.537 * [taylor]: Taking taylor expansion of -2.0 in k 0.537 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.537 * [taylor]: Taking taylor expansion of PI in k 0.537 * [taylor]: Taking taylor expansion of n in k 0.541 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.541 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.541 * [taylor]: Taking taylor expansion of -1 in k 0.541 * [taylor]: Taking taylor expansion of k in k 0.543 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.543 * [taylor]: Taking taylor expansion of 1.0 in k 0.543 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.543 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.543 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.543 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.543 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.543 * [taylor]: Taking taylor expansion of 0.5 in k 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.543 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.543 * [taylor]: Taking taylor expansion of k in k 0.543 * [taylor]: Taking taylor expansion of 1.0 in k 0.543 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.543 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.543 * [taylor]: Taking taylor expansion of -2.0 in k 0.543 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.543 * [taylor]: Taking taylor expansion of PI in k 0.543 * [taylor]: Taking taylor expansion of n in k 0.544 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.544 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.544 * [taylor]: Taking taylor expansion of -1 in k 0.544 * [taylor]: Taking taylor expansion of k in k 0.546 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.546 * [taylor]: Taking taylor expansion of +nan.0 in n 0.546 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.546 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.546 * [taylor]: Taking taylor expansion of 0.5 in n 0.546 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.546 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.546 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.546 * [taylor]: Taking taylor expansion of k in n 0.546 * [taylor]: Taking taylor expansion of 1.0 in n 0.546 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.546 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.546 * [taylor]: Taking taylor expansion of -2.0 in n 0.546 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.546 * [taylor]: Taking taylor expansion of PI in n 0.546 * [taylor]: Taking taylor expansion of n in n 0.555 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.555 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.555 * [taylor]: Taking taylor expansion of +nan.0 in n 0.555 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.555 * [taylor]: Taking taylor expansion of 0.5 in n 0.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.555 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.555 * [taylor]: Taking taylor expansion of k in n 0.555 * [taylor]: Taking taylor expansion of 1.0 in n 0.555 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.555 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.555 * [taylor]: Taking taylor expansion of -2.0 in n 0.555 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.555 * [taylor]: Taking taylor expansion of PI in n 0.555 * [taylor]: Taking taylor expansion of n in n 0.573 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 0.573 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 0.573 * [taylor]: Taking taylor expansion of +nan.0 in n 0.573 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.573 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.573 * [taylor]: Taking taylor expansion of 0.5 in n 0.573 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.573 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.573 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.573 * [taylor]: Taking taylor expansion of k in n 0.573 * [taylor]: Taking taylor expansion of 1.0 in n 0.573 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.573 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.573 * [taylor]: Taking taylor expansion of -2.0 in n 0.573 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.573 * [taylor]: Taking taylor expansion of PI in n 0.573 * [taylor]: Taking taylor expansion of n in n 0.582 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.583 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.583 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [taylor]: Taking taylor expansion of (* n PI) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of PI in n 0.583 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.583 * [taylor]: Taking taylor expansion of 2.0 in n 0.583 * [taylor]: Taking taylor expansion of (* n PI) in n 0.583 * [taylor]: Taking taylor expansion of n in n 0.583 * [taylor]: Taking taylor expansion of PI in n 0.595 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.595 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.595 * [taylor]: Taking taylor expansion of 2.0 in n 0.595 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.595 * [taylor]: Taking taylor expansion of PI in n 0.595 * [taylor]: Taking taylor expansion of n in n 0.596 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.596 * [taylor]: Taking taylor expansion of 2.0 in n 0.596 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.596 * [taylor]: Taking taylor expansion of PI in n 0.596 * [taylor]: Taking taylor expansion of n in n 0.605 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.605 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.605 * [taylor]: Taking taylor expansion of -2.0 in n 0.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.605 * [taylor]: Taking taylor expansion of PI in n 0.605 * [taylor]: Taking taylor expansion of n in n 0.605 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.605 * [taylor]: Taking taylor expansion of -2.0 in n 0.605 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.605 * [taylor]: Taking taylor expansion of PI in n 0.605 * [taylor]: Taking taylor expansion of n in n 0.614 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.614 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.614 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.614 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.614 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.614 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.614 * [taylor]: Taking taylor expansion of 0.5 in k 0.614 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.614 * [taylor]: Taking taylor expansion of 1.0 in k 0.614 * [taylor]: Taking taylor expansion of k in k 0.614 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.614 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.614 * [taylor]: Taking taylor expansion of 2.0 in k 0.614 * [taylor]: Taking taylor expansion of (* n PI) in k 0.614 * [taylor]: Taking taylor expansion of n in k 0.614 * [taylor]: Taking taylor expansion of PI in k 0.615 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.615 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.615 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.615 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.615 * [taylor]: Taking taylor expansion of 0.5 in n 0.616 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.616 * [taylor]: Taking taylor expansion of 1.0 in n 0.616 * [taylor]: Taking taylor expansion of k in n 0.616 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.616 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.616 * [taylor]: Taking taylor expansion of 2.0 in n 0.616 * [taylor]: Taking taylor expansion of (* n PI) in n 0.616 * [taylor]: Taking taylor expansion of n in n 0.616 * [taylor]: Taking taylor expansion of PI in n 0.621 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.621 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.621 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.621 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.621 * [taylor]: Taking taylor expansion of 0.5 in n 0.621 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.621 * [taylor]: Taking taylor expansion of 1.0 in n 0.621 * [taylor]: Taking taylor expansion of k in n 0.621 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.621 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.621 * [taylor]: Taking taylor expansion of 2.0 in n 0.621 * [taylor]: Taking taylor expansion of (* n PI) in n 0.621 * [taylor]: Taking taylor expansion of n in n 0.621 * [taylor]: Taking taylor expansion of PI in n 0.630 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.630 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.630 * [taylor]: Taking taylor expansion of 0.5 in k 0.630 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.630 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.630 * [taylor]: Taking taylor expansion of 1.0 in k 0.630 * [taylor]: Taking taylor expansion of k in k 0.630 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.630 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.630 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.630 * [taylor]: Taking taylor expansion of 2.0 in k 0.630 * [taylor]: Taking taylor expansion of PI in k 0.631 * [taylor]: Taking taylor expansion of (log n) in k 0.631 * [taylor]: Taking taylor expansion of n in k 0.640 * [taylor]: Taking taylor expansion of 0 in k 0.656 * [taylor]: Taking taylor expansion of 0 in k 0.674 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.674 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.674 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.674 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.674 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.674 * [taylor]: Taking taylor expansion of 0.5 in k 0.674 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.674 * [taylor]: Taking taylor expansion of 1.0 in k 0.674 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.674 * [taylor]: Taking taylor expansion of k in k 0.675 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.675 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.675 * [taylor]: Taking taylor expansion of 2.0 in k 0.675 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.675 * [taylor]: Taking taylor expansion of PI in k 0.675 * [taylor]: Taking taylor expansion of n in k 0.676 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.676 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.676 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.676 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.676 * [taylor]: Taking taylor expansion of 0.5 in n 0.676 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.676 * [taylor]: Taking taylor expansion of 1.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.676 * [taylor]: Taking taylor expansion of k in n 0.676 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.676 * [taylor]: Taking taylor expansion of 2.0 in n 0.676 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.676 * [taylor]: Taking taylor expansion of PI in n 0.676 * [taylor]: Taking taylor expansion of n in n 0.680 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.680 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.680 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.680 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.680 * [taylor]: Taking taylor expansion of 0.5 in n 0.680 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.680 * [taylor]: Taking taylor expansion of 1.0 in n 0.680 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.680 * [taylor]: Taking taylor expansion of k in n 0.680 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.680 * [taylor]: Taking taylor expansion of 2.0 in n 0.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.680 * [taylor]: Taking taylor expansion of PI in n 0.680 * [taylor]: Taking taylor expansion of n in n 0.684 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.684 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.684 * [taylor]: Taking taylor expansion of 0.5 in k 0.684 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.684 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.684 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.684 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.684 * [taylor]: Taking taylor expansion of 2.0 in k 0.684 * [taylor]: Taking taylor expansion of PI in k 0.685 * [taylor]: Taking taylor expansion of (log n) in k 0.685 * [taylor]: Taking taylor expansion of n in k 0.685 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.685 * [taylor]: Taking taylor expansion of 1.0 in k 0.685 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.685 * [taylor]: Taking taylor expansion of k in k 0.695 * [taylor]: Taking taylor expansion of 0 in k 0.702 * [taylor]: Taking taylor expansion of 0 in k 0.714 * [taylor]: Taking taylor expansion of 0 in k 0.716 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.716 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.716 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.716 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.716 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.716 * [taylor]: Taking taylor expansion of 0.5 in k 0.716 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.716 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.716 * [taylor]: Taking taylor expansion of k in k 0.716 * [taylor]: Taking taylor expansion of 1.0 in k 0.716 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.716 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.716 * [taylor]: Taking taylor expansion of -2.0 in k 0.716 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.716 * [taylor]: Taking taylor expansion of PI in k 0.716 * [taylor]: Taking taylor expansion of n in k 0.717 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.717 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.717 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.717 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.717 * [taylor]: Taking taylor expansion of 0.5 in n 0.717 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.717 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.717 * [taylor]: Taking taylor expansion of k in n 0.717 * [taylor]: Taking taylor expansion of 1.0 in n 0.717 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.717 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.717 * [taylor]: Taking taylor expansion of -2.0 in n 0.717 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.717 * [taylor]: Taking taylor expansion of PI in n 0.717 * [taylor]: Taking taylor expansion of n in n 0.721 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.721 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.721 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.721 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.721 * [taylor]: Taking taylor expansion of 0.5 in n 0.721 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.721 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.721 * [taylor]: Taking taylor expansion of k in n 0.721 * [taylor]: Taking taylor expansion of 1.0 in n 0.721 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.721 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.721 * [taylor]: Taking taylor expansion of -2.0 in n 0.721 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.721 * [taylor]: Taking taylor expansion of PI in n 0.721 * [taylor]: Taking taylor expansion of n in n 0.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.725 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.725 * [taylor]: Taking taylor expansion of 0.5 in k 0.725 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.725 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.725 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.725 * [taylor]: Taking taylor expansion of k in k 0.725 * [taylor]: Taking taylor expansion of 1.0 in k 0.725 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.725 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.725 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.725 * [taylor]: Taking taylor expansion of -2.0 in k 0.725 * [taylor]: Taking taylor expansion of PI in k 0.726 * [taylor]: Taking taylor expansion of (log n) in k 0.726 * [taylor]: Taking taylor expansion of n in k 0.735 * [taylor]: Taking taylor expansion of 0 in k 0.742 * [taylor]: Taking taylor expansion of 0 in k 0.751 * [taylor]: Taking taylor expansion of 0 in k 0.752 * * * [progress]: simplifying candidates 0.753 * [simplify]: Simplifying using # : (- 1.0) (- (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (* 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))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 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))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* 1 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* PI n) (* 2.0 n) (* (log (* (* 2.0 PI) n)) (/ (- 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) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* 2.0 n) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 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)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (pow k 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log (* 2.0 PI))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* k (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2)))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (- (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.125 (* (pow k 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow (log n) 2)))) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n))))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (+ (* 0.5 (* k (* (log (* 2.0 PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n))))))) (* 0.5 (* k (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (log n)))))) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.759 * * [simplify]: iteration 0 : 605 enodes (cost 495 ) 0.769 * * [simplify]: iteration 1 : 2255 enodes (cost 461 ) 0.809 * * [simplify]: iteration 2 : 5001 enodes (cost 442 ) 0.812 * [simplify]: Simplified to: (- 1.0) (- (pow k 1/2)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (* 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))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (/ (sqrt k) 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow PI (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow n (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (* PI n) (* 2.0 n) (* (log (* (* 2.0 PI) n)) (/ (- 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 (* n PI)) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (pow (* 2.0 n) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (fma (- k) +nan.0 (fma +nan.0 (pow k 2) (- +nan.0))) (fma +nan.0 (- (/ 1 k) (/ 1 (pow k 3))) (/ (- +nan.0) (pow k 2))) (+ (fma +nan.0 (/ 1 k) (- +nan.0)) (/ (- +nan.0) (pow k 2))) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log (* 2.0 PI))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma +nan.0 (* (* (pow k 2) (pow (log n) 2)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) +nan.0 (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 3)) (* +nan.0 (- (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) k) (/ (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow k 2))))) (fma (- +nan.0) (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k) (* +nan.0 (- (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (fma (- 0.5) (fma (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n))) (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n))) (fma (* (* 0.125 (pow k 2)) (pow (* 2.0 (* n PI)) 0.5)) (pow (log (* 2.0 PI)) 2) (fma (* (* 0.125 (pow k 2)) (pow (log n) 2)) (pow (* 2.0 (* n PI)) 0.5) (fma (* (* 0.25 (pow k 2)) (log (* 2.0 PI))) (* (pow (* 2.0 (* n PI)) 0.5) (log n)) (pow (* 2.0 (* n PI)) 0.5))))) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.812 * * * [progress]: adding candidates to table 0.954 * * [progress]: iteration 2 / 4 0.954 * * * [progress]: picking best candidate 0.968 * * * * [pick]: Picked # 0.968 * * * [progress]: localizing error 0.988 * * * [progress]: generating rewritten candidates 0.988 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.001 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 1.004 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 1.007 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 1.017 * * * [progress]: generating series expansions 1.017 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.019 * [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 1.019 * [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 1.019 * [taylor]: Taking taylor expansion of 1.0 in k 1.019 * [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 1.019 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.019 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.019 * [taylor]: Taking taylor expansion of k in k 1.020 * [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 1.020 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.020 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.020 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.020 * [taylor]: Taking taylor expansion of 0.5 in k 1.020 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.020 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.020 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.020 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.020 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.020 * [taylor]: Taking taylor expansion of 1.0 in k 1.020 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.020 * [taylor]: Taking taylor expansion of 2.0 in k 1.022 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.022 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.022 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.022 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.022 * [taylor]: Taking taylor expansion of 1.0 in k 1.022 * [taylor]: Taking taylor expansion of (log n) in k 1.022 * [taylor]: Taking taylor expansion of n in k 1.023 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.023 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.023 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.023 * [taylor]: Taking taylor expansion of 1.0 in k 1.023 * [taylor]: Taking taylor expansion of (log PI) in k 1.023 * [taylor]: Taking taylor expansion of PI in k 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.028 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.028 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.028 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.028 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.028 * [taylor]: Taking taylor expansion of 0.5 in k 1.028 * [taylor]: Taking taylor expansion of k in k 1.028 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.028 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.028 * [taylor]: Taking taylor expansion of 2.0 in k 1.028 * [taylor]: Taking taylor expansion of (* n PI) in k 1.028 * [taylor]: Taking taylor expansion of n in k 1.028 * [taylor]: Taking taylor expansion of PI in k 1.035 * [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 1.035 * [taylor]: Taking taylor expansion of 1.0 in n 1.035 * [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 1.035 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.035 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.035 * [taylor]: Taking taylor expansion of k in n 1.035 * [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 1.035 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.035 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.035 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.035 * [taylor]: Taking taylor expansion of 0.5 in n 1.035 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.035 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.035 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.035 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.035 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.035 * [taylor]: Taking taylor expansion of 1.0 in n 1.035 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.035 * [taylor]: Taking taylor expansion of 2.0 in n 1.037 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.037 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.037 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.037 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.037 * [taylor]: Taking taylor expansion of 1.0 in n 1.037 * [taylor]: Taking taylor expansion of (log n) in n 1.037 * [taylor]: Taking taylor expansion of n in n 1.038 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.038 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.038 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.038 * [taylor]: Taking taylor expansion of 1.0 in n 1.038 * [taylor]: Taking taylor expansion of (log PI) in n 1.038 * [taylor]: Taking taylor expansion of PI in n 1.043 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.043 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.043 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.043 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.043 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.043 * [taylor]: Taking taylor expansion of 0.5 in n 1.043 * [taylor]: Taking taylor expansion of k in n 1.043 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.043 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.043 * [taylor]: Taking taylor expansion of 2.0 in n 1.043 * [taylor]: Taking taylor expansion of (* n PI) in n 1.043 * [taylor]: Taking taylor expansion of n in n 1.043 * [taylor]: Taking taylor expansion of PI in n 1.049 * [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 1.049 * [taylor]: Taking taylor expansion of 1.0 in n 1.049 * [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 1.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.049 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.050 * [taylor]: Taking taylor expansion of k in n 1.050 * [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 1.050 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.050 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.050 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.050 * [taylor]: Taking taylor expansion of 0.5 in n 1.050 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.050 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.050 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.050 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.050 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.050 * [taylor]: Taking taylor expansion of 1.0 in n 1.050 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.050 * [taylor]: Taking taylor expansion of 2.0 in n 1.052 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.052 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.052 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.052 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.052 * [taylor]: Taking taylor expansion of 1.0 in n 1.052 * [taylor]: Taking taylor expansion of (log n) in n 1.052 * [taylor]: Taking taylor expansion of n in n 1.053 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.053 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.053 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.053 * [taylor]: Taking taylor expansion of 1.0 in n 1.053 * [taylor]: Taking taylor expansion of (log PI) in n 1.053 * [taylor]: Taking taylor expansion of PI in n 1.058 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.058 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.058 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.058 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.058 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.058 * [taylor]: Taking taylor expansion of 0.5 in n 1.058 * [taylor]: Taking taylor expansion of k in n 1.058 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.058 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.058 * [taylor]: Taking taylor expansion of 2.0 in n 1.058 * [taylor]: Taking taylor expansion of (* n PI) in n 1.058 * [taylor]: Taking taylor expansion of n in n 1.058 * [taylor]: Taking taylor expansion of PI in n 1.070 * [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 1.070 * [taylor]: Taking taylor expansion of 1.0 in k 1.070 * [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 1.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.070 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.070 * [taylor]: Taking taylor expansion of k in k 1.071 * [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 1.071 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 1.071 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 1.071 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 1.071 * [taylor]: Taking taylor expansion of 0.5 in k 1.071 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 1.071 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 1.071 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.071 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.071 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.071 * [taylor]: Taking taylor expansion of 1.0 in k 1.071 * [taylor]: Taking taylor expansion of (log PI) in k 1.071 * [taylor]: Taking taylor expansion of PI in k 1.073 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 1.073 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.073 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.073 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.073 * [taylor]: Taking taylor expansion of 1.0 in k 1.073 * [taylor]: Taking taylor expansion of (log n) in k 1.073 * [taylor]: Taking taylor expansion of n in k 1.073 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.074 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.074 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.074 * [taylor]: Taking taylor expansion of 1.0 in k 1.074 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.074 * [taylor]: Taking taylor expansion of 2.0 in k 1.079 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.079 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.079 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.079 * [taylor]: Taking taylor expansion of 0.5 in k 1.079 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.079 * [taylor]: Taking taylor expansion of k in k 1.079 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.079 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.079 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.079 * [taylor]: Taking taylor expansion of 2.0 in k 1.079 * [taylor]: Taking taylor expansion of PI in k 1.080 * [taylor]: Taking taylor expansion of (log n) in k 1.080 * [taylor]: Taking taylor expansion of n in k 1.110 * [taylor]: Taking taylor expansion of 0 in k 1.165 * [taylor]: Taking taylor expansion of 0 in k 1.260 * [taylor]: Taking taylor expansion of 0 in k 1.377 * [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 1.377 * [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 1.377 * [taylor]: Taking taylor expansion of 1.0 in k 1.377 * [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 1.377 * [taylor]: Taking taylor expansion of (sqrt 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 PI 1.0)) (pow n 1.0)) 0.5) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 1.378 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.378 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.378 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 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 PI 1.0)) (pow n 1.0))) in k 1.378 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.378 * [taylor]: Taking taylor expansion of (* (pow 2.0 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 1.378 * [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 PI 1.0) in k 1.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.380 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.380 * [taylor]: Taking taylor expansion of 1.0 in k 1.380 * [taylor]: Taking taylor expansion of (log PI) in k 1.380 * [taylor]: Taking taylor expansion of PI in k 1.382 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.382 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.382 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.382 * [taylor]: Taking taylor expansion of 1.0 in k 1.382 * [taylor]: Taking taylor expansion of (log n) in k 1.382 * [taylor]: Taking taylor expansion of n in k 1.389 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.389 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.389 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.389 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.389 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.389 * [taylor]: Taking taylor expansion of 0.5 in k 1.389 * [taylor]: Taking taylor expansion of k in k 1.389 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.389 * [taylor]: Taking taylor expansion of 2.0 in k 1.389 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.389 * [taylor]: Taking taylor expansion of PI in k 1.389 * [taylor]: Taking taylor expansion of n in k 1.390 * [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 1.390 * [taylor]: Taking taylor expansion of 1.0 in n 1.390 * [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 1.390 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.390 * [taylor]: Taking taylor expansion of k in n 1.390 * [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 1.390 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.390 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.390 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.390 * [taylor]: Taking taylor expansion of 0.5 in n 1.390 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.390 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.390 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.390 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.390 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.390 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.390 * [taylor]: Taking taylor expansion of 1.0 in n 1.390 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.390 * [taylor]: Taking taylor expansion of 2.0 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 1.394 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.394 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.394 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.394 * [taylor]: Taking taylor expansion of 1.0 in n 1.394 * [taylor]: Taking taylor expansion of (log n) in n 1.394 * [taylor]: Taking taylor expansion of n in n 1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.401 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.401 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.401 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.401 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.401 * [taylor]: Taking taylor expansion of 0.5 in n 1.401 * [taylor]: Taking taylor expansion of k in n 1.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.401 * [taylor]: Taking taylor expansion of 2.0 in n 1.401 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.401 * [taylor]: Taking taylor expansion of PI in n 1.401 * [taylor]: Taking taylor expansion of n in n 1.405 * [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 1.405 * [taylor]: Taking taylor expansion of 1.0 in n 1.405 * [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 1.405 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.405 * [taylor]: Taking taylor expansion of k in n 1.405 * [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 1.405 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.405 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.405 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.405 * [taylor]: Taking taylor expansion of 0.5 in n 1.405 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.405 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.405 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.405 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.405 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.405 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.405 * [taylor]: Taking taylor expansion of 1.0 in n 1.405 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.405 * [taylor]: Taking taylor expansion of 2.0 in n 1.407 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.407 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.407 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.407 * [taylor]: Taking taylor expansion of 1.0 in n 1.407 * [taylor]: Taking taylor expansion of (log PI) in n 1.407 * [taylor]: Taking taylor expansion of PI in n 1.409 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.409 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.409 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.409 * [taylor]: Taking taylor expansion of 1.0 in n 1.409 * [taylor]: Taking taylor expansion of (log n) in n 1.409 * [taylor]: Taking taylor expansion of n in n 1.416 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.416 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.416 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.416 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.416 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.416 * [taylor]: Taking taylor expansion of 0.5 in n 1.416 * [taylor]: Taking taylor expansion of k in n 1.416 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.416 * [taylor]: Taking taylor expansion of 2.0 in n 1.416 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.416 * [taylor]: Taking taylor expansion of PI in n 1.416 * [taylor]: Taking taylor expansion of n in n 1.427 * [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 1.427 * [taylor]: Taking taylor expansion of 1.0 in k 1.427 * [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 1.427 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.427 * [taylor]: Taking taylor expansion of k in k 1.428 * [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 1.428 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 1.428 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 1.428 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 1.428 * [taylor]: Taking taylor expansion of 0.5 in k 1.428 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 1.428 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 1.428 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.428 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.428 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.428 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.428 * [taylor]: Taking taylor expansion of 1.0 in k 1.428 * [taylor]: Taking taylor expansion of (log PI) in k 1.428 * [taylor]: Taking taylor expansion of PI in k 1.430 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.430 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.430 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.430 * [taylor]: Taking taylor expansion of 1.0 in k 1.430 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.430 * [taylor]: Taking taylor expansion of 2.0 in k 1.432 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.432 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.432 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.432 * [taylor]: Taking taylor expansion of 1.0 in k 1.432 * [taylor]: Taking taylor expansion of (log n) in k 1.432 * [taylor]: Taking taylor expansion of n in k 1.439 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.439 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.439 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.439 * [taylor]: Taking taylor expansion of 0.5 in k 1.439 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.439 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.439 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.439 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.439 * [taylor]: Taking taylor expansion of 2.0 in k 1.439 * [taylor]: Taking taylor expansion of PI in k 1.440 * [taylor]: Taking taylor expansion of (log n) in k 1.440 * [taylor]: Taking taylor expansion of n in k 1.440 * [taylor]: Taking taylor expansion of k in k 1.476 * [taylor]: Taking taylor expansion of 0 in k 1.533 * [taylor]: Taking taylor expansion of 0 in k 1.614 * [taylor]: Taking taylor expansion of 0 in k 1.669 * [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 1.670 * [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 1.670 * [taylor]: Taking taylor expansion of 1.0 in k 1.670 * [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 1.670 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.670 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.670 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.670 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.670 * [taylor]: Taking taylor expansion of -1 in k 1.670 * [taylor]: Taking taylor expansion of k in k 1.671 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.671 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.671 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.671 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.671 * [taylor]: Taking taylor expansion of -0.5 in k 1.671 * [taylor]: Taking taylor expansion of k in k 1.672 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.672 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.672 * [taylor]: Taking taylor expansion of -2.0 in k 1.672 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.672 * [taylor]: Taking taylor expansion of PI in k 1.672 * [taylor]: Taking taylor expansion of n in k 1.672 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.672 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.672 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.672 * [taylor]: Taking taylor expansion of 0.5 in k 1.672 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.672 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.673 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.673 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.673 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.673 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.673 * [taylor]: Taking taylor expansion of 1.0 in k 1.673 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.673 * [taylor]: Taking taylor expansion of -2.0 in k 1.674 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.674 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.674 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.674 * [taylor]: Taking taylor expansion of 1.0 in k 1.674 * [taylor]: Taking taylor expansion of (log PI) in k 1.674 * [taylor]: Taking taylor expansion of PI in k 1.676 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.676 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.676 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.676 * [taylor]: Taking taylor expansion of 1.0 in k 1.676 * [taylor]: Taking taylor expansion of (log n) in k 1.676 * [taylor]: Taking taylor expansion of n in k 1.683 * [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 1.683 * [taylor]: Taking taylor expansion of 1.0 in n 1.683 * [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 1.683 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.683 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.683 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.683 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.683 * [taylor]: Taking taylor expansion of -1 in n 1.683 * [taylor]: Taking taylor expansion of k in n 1.683 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.683 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.683 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.683 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.683 * [taylor]: Taking taylor expansion of -0.5 in n 1.683 * [taylor]: Taking taylor expansion of k in n 1.683 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.683 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.683 * [taylor]: Taking taylor expansion of -2.0 in n 1.683 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.683 * [taylor]: Taking taylor expansion of PI in n 1.683 * [taylor]: Taking taylor expansion of n in n 1.688 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.688 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.688 * [taylor]: Taking taylor expansion of 0.5 in n 1.688 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.688 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.688 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.688 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.688 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.688 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.688 * [taylor]: Taking taylor expansion of 1.0 in n 1.688 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.688 * [taylor]: Taking taylor expansion of -2.0 in n 1.690 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.690 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.690 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.690 * [taylor]: Taking taylor expansion of 1.0 in n 1.690 * [taylor]: Taking taylor expansion of (log PI) in n 1.690 * [taylor]: Taking taylor expansion of PI in n 1.692 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.692 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.692 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.692 * [taylor]: Taking taylor expansion of 1.0 in n 1.692 * [taylor]: Taking taylor expansion of (log n) in n 1.692 * [taylor]: Taking taylor expansion of n in n 1.699 * [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 1.699 * [taylor]: Taking taylor expansion of 1.0 in n 1.699 * [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 1.699 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.699 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.699 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.699 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.699 * [taylor]: Taking taylor expansion of -1 in n 1.699 * [taylor]: Taking taylor expansion of k in n 1.699 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.700 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.700 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.700 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.700 * [taylor]: Taking taylor expansion of -0.5 in n 1.700 * [taylor]: Taking taylor expansion of k in n 1.700 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.700 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.700 * [taylor]: Taking taylor expansion of -2.0 in n 1.700 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.700 * [taylor]: Taking taylor expansion of PI in n 1.700 * [taylor]: Taking taylor expansion of n in n 1.705 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.705 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.705 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.705 * [taylor]: Taking taylor expansion of 0.5 in n 1.705 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.705 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.705 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.705 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.705 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.705 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.705 * [taylor]: Taking taylor expansion of 1.0 in n 1.705 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.705 * [taylor]: Taking taylor expansion of -2.0 in n 1.707 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.707 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.707 * [taylor]: Taking taylor expansion of 1.0 in n 1.707 * [taylor]: Taking taylor expansion of (log PI) in n 1.707 * [taylor]: Taking taylor expansion of PI in n 1.714 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.714 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.714 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.714 * [taylor]: Taking taylor expansion of 1.0 in n 1.714 * [taylor]: Taking taylor expansion of (log n) in n 1.714 * [taylor]: Taking taylor expansion of n in n 1.726 * [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 1.726 * [taylor]: Taking taylor expansion of 1.0 in k 1.726 * [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 1.726 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.726 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.726 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.726 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.726 * [taylor]: Taking taylor expansion of -0.5 in k 1.726 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.726 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.726 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.726 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.726 * [taylor]: Taking taylor expansion of -2.0 in k 1.726 * [taylor]: Taking taylor expansion of PI in k 1.727 * [taylor]: Taking taylor expansion of (log n) in k 1.727 * [taylor]: Taking taylor expansion of n in k 1.727 * [taylor]: Taking taylor expansion of k in k 1.730 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.730 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.730 * [taylor]: Taking taylor expansion of -1 in k 1.730 * [taylor]: Taking taylor expansion of k in k 1.734 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.734 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.734 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.734 * [taylor]: Taking taylor expansion of 0.5 in k 1.734 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.734 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.734 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.734 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.734 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.734 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.734 * [taylor]: Taking taylor expansion of 1.0 in k 1.734 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.734 * [taylor]: Taking taylor expansion of -2.0 in k 1.736 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.736 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.736 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.736 * [taylor]: Taking taylor expansion of 1.0 in k 1.736 * [taylor]: Taking taylor expansion of (log PI) in k 1.736 * [taylor]: Taking taylor expansion of PI in k 1.738 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.738 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.738 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.738 * [taylor]: Taking taylor expansion of 1.0 in k 1.738 * [taylor]: Taking taylor expansion of (log n) in k 1.738 * [taylor]: Taking taylor expansion of n in k 1.774 * [taylor]: Taking taylor expansion of 0 in k 1.841 * [taylor]: Taking taylor expansion of 0 in k 1.892 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 1.893 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.893 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.893 * [taylor]: Taking taylor expansion of 2.0 in n 1.893 * [taylor]: Taking taylor expansion of (* n PI) in n 1.893 * [taylor]: Taking taylor expansion of n in n 1.893 * [taylor]: Taking taylor expansion of PI in n 1.893 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.893 * [taylor]: Taking taylor expansion of 2.0 in n 1.893 * [taylor]: Taking taylor expansion of (* n PI) in n 1.893 * [taylor]: Taking taylor expansion of n in n 1.893 * [taylor]: Taking taylor expansion of PI in n 1.905 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.905 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.905 * [taylor]: Taking taylor expansion of 2.0 in n 1.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.905 * [taylor]: Taking taylor expansion of PI in n 1.905 * [taylor]: Taking taylor expansion of n in n 1.905 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.905 * [taylor]: Taking taylor expansion of 2.0 in n 1.905 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.905 * [taylor]: Taking taylor expansion of PI in n 1.905 * [taylor]: Taking taylor expansion of n in n 1.914 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.914 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.914 * [taylor]: Taking taylor expansion of -2.0 in n 1.914 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.914 * [taylor]: Taking taylor expansion of PI in n 1.914 * [taylor]: Taking taylor expansion of n in n 1.915 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.915 * [taylor]: Taking taylor expansion of -2.0 in n 1.915 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.915 * [taylor]: Taking taylor expansion of PI in n 1.915 * [taylor]: Taking taylor expansion of n in n 1.924 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 1.924 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.924 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.924 * [taylor]: Taking taylor expansion of 2.0 in n 1.924 * [taylor]: Taking taylor expansion of (* n PI) in n 1.924 * [taylor]: Taking taylor expansion of n in n 1.924 * [taylor]: Taking taylor expansion of PI in n 1.924 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.924 * [taylor]: Taking taylor expansion of 2.0 in n 1.924 * [taylor]: Taking taylor expansion of (* n PI) in n 1.924 * [taylor]: Taking taylor expansion of n in n 1.924 * [taylor]: Taking taylor expansion of PI in n 1.936 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.936 * [taylor]: Taking taylor expansion of 2.0 in n 1.936 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.936 * [taylor]: Taking taylor expansion of PI in n 1.936 * [taylor]: Taking taylor expansion of n in n 1.937 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.937 * [taylor]: Taking taylor expansion of 2.0 in n 1.937 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.937 * [taylor]: Taking taylor expansion of PI in n 1.937 * [taylor]: Taking taylor expansion of n in n 1.945 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.946 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.946 * [taylor]: Taking taylor expansion of -2.0 in n 1.946 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.946 * [taylor]: Taking taylor expansion of PI in n 1.946 * [taylor]: Taking taylor expansion of n in n 1.946 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.946 * [taylor]: Taking taylor expansion of -2.0 in n 1.946 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.946 * [taylor]: Taking taylor expansion of PI in n 1.946 * [taylor]: Taking taylor expansion of n in n 1.955 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 1.955 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.955 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.955 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.955 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.955 * [taylor]: Taking taylor expansion of 0.5 in n 1.955 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.955 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.955 * [taylor]: Taking taylor expansion of 2.0 in n 1.955 * [taylor]: Taking taylor expansion of (* n PI) in n 1.955 * [taylor]: Taking taylor expansion of n in n 1.956 * [taylor]: Taking taylor expansion of PI in n 1.961 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.961 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.961 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.961 * [taylor]: Taking taylor expansion of 0.5 in n 1.961 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.961 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.961 * [taylor]: Taking taylor expansion of 2.0 in n 1.961 * [taylor]: Taking taylor expansion of (* n PI) in n 1.961 * [taylor]: Taking taylor expansion of n in n 1.961 * [taylor]: Taking taylor expansion of PI in n 2.045 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 2.045 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.045 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.045 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.045 * [taylor]: Taking taylor expansion of 0.5 in n 2.045 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.045 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.045 * [taylor]: Taking taylor expansion of 2.0 in n 2.045 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.045 * [taylor]: Taking taylor expansion of PI in n 2.045 * [taylor]: Taking taylor expansion of n in n 2.054 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 2.054 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 2.054 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 2.054 * [taylor]: Taking taylor expansion of 0.5 in n 2.054 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.054 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.054 * [taylor]: Taking taylor expansion of 2.0 in n 2.054 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.054 * [taylor]: Taking taylor expansion of PI in n 2.054 * [taylor]: Taking taylor expansion of n in n 2.135 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 2.135 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.135 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.135 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.135 * [taylor]: Taking taylor expansion of 0.5 in n 2.135 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.135 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.135 * [taylor]: Taking taylor expansion of -2.0 in n 2.135 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.135 * [taylor]: Taking taylor expansion of PI in n 2.135 * [taylor]: Taking taylor expansion of n in n 2.139 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 2.139 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 2.139 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 2.139 * [taylor]: Taking taylor expansion of 0.5 in n 2.139 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.139 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.139 * [taylor]: Taking taylor expansion of -2.0 in n 2.139 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.139 * [taylor]: Taking taylor expansion of PI in n 2.139 * [taylor]: Taking taylor expansion of n in n 2.219 * * * [progress]: simplifying candidates 2.222 * [simplify]: Simplifying using # : (- (* (- 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))) (/ (- 1.0) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (- 1.0) -1) (/ (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) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (- (sqrt k))) (/ (pow n (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow n (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) -1) (/ (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 (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (- (sqrt k))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) -1) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (- (sqrt k))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) -1) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (- (sqrt k))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) -1) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (- (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) -1) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (sqrt k))) (/ -1 (- (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow n (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ -1 -1) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ -1 (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) (/ 1.0 2.0)) (- (sqrt k))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (- 1.0) (pow n (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (- 1.0) (pow (* PI n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (- 1.0) (pow (* 2.0 n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (- 1.0) (pow (* 2.0 PI) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (- 1.0) (- (sqrt k))) (/ 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)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (sqrt k))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow 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) 2)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) -1) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow n (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* PI n) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 n) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (* (- (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)) (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)) (pow (* 2.0 n) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (pow (* 2.0 PI) (/ 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)))))))))))))))))))))) (- (+ (* +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)))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (exp (* 0.5 (- (log (* 2.0 PI)) (log (/ 1 n))))) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.232 * * [simplify]: iteration 0 : 984 enodes (cost 1627 ) 2.250 * * [simplify]: iteration 1 : 4309 enodes (cost 1596 ) 2.311 * * [simplify]: iteration 2 : 5001 enodes (cost 1586 ) 2.318 * [simplify]: Simplified to: (* 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))) (/ (- 1.0) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (- 1.0) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (- 1.0) -1) (/ (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) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (- (sqrt k))) (/ (pow n (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow n (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow n (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow (* 2.0 PI) (/ 1.0 2.0))) -1) (/ (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 (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow n (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (- (sqrt k))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* PI n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) -1) (/ (pow (* PI n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow 2.0 (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* PI n) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (- (sqrt k))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) -1) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow PI (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* 2.0 n) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (- (sqrt k))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) -1) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow n (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* 2.0 PI) (/ 1.0 2.0)) (- (sqrt k))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (- (sqrt k))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow n (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* PI n) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 n) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* 2.0 PI) (/ k 2.0))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) -1) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (sqrt k))) (/ -1 (- (sqrt k))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow n (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (/ -1 (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) 1 (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ -1 (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) (/ 1.0 2.0)) (- (sqrt k))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (- 1.0) (pow n (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (- 1.0) (pow (* PI n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (- 1.0) (pow (* 2.0 n) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow n (/ k 2.0)))) (/ (- 1.0) (pow (* 2.0 PI) (/ k 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (- 1.0) (- (sqrt k))) (/ 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)) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (sqrt k))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow (* 2.0 PI) (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow 2.0 (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow PI (/ k 2.0)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (- (sqrt k)) (pow 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) 2)))) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) -1) (/ (* (- 1.0) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow n (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* PI n) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 n) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (- (sqrt k)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (* (- (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)) (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (pow 2.0 (/ 1.0 2.0)) (pow (* PI n) (/ 1.0 2.0)) (pow PI (/ 1.0 2.0)) (pow (* 2.0 n) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (fma (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 (pow k 2)) (* (log n) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) +nan.0 (fma (* +nan.0 (pow k 2)) (* (pow (log n) 2) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)) (fma (- (* +nan.0 (* k (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (fma (* +nan.0 k) (* (log (* 2.0 PI)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (fma (- (* +nan.0 (pow k 2))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))) (fma (- +nan.0) (/ (/ (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))) k) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (fma (- +nan.0) (/ (/ (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5) k) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (fma (/ (- (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) +nan.0 (/ (* +nan.0 (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) 0.5) (pow (* 2.0 (* n PI)) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) 2.319 * * * [progress]: adding candidates to table 2.758 * * [progress]: iteration 3 / 4 2.758 * * * [progress]: picking best candidate 2.772 * * * * [pick]: Picked # 2.772 * * * [progress]: localizing error 2.792 * * * [progress]: generating rewritten candidates 2.792 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.812 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1) 2.816 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.819 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.833 * * * [progress]: generating series expansions 2.834 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.835 * [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 2.836 * [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 2.836 * [taylor]: Taking taylor expansion of 1.0 in k 2.836 * [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 2.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.836 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.836 * [taylor]: Taking taylor expansion of k in k 2.837 * [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 2.837 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 2.837 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 2.837 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 2.837 * [taylor]: Taking taylor expansion of 0.5 in k 2.837 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 2.837 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 2.837 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.837 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.837 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.837 * [taylor]: Taking taylor expansion of 1.0 in k 2.837 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.837 * [taylor]: Taking taylor expansion of 2.0 in k 2.839 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 2.839 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.839 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.839 * [taylor]: Taking taylor expansion of 1.0 in k 2.839 * [taylor]: Taking taylor expansion of (log n) in k 2.839 * [taylor]: Taking taylor expansion of n in k 2.839 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.839 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.840 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.840 * [taylor]: Taking taylor expansion of 1.0 in k 2.840 * [taylor]: Taking taylor expansion of (log PI) in k 2.840 * [taylor]: Taking taylor expansion of PI in k 2.845 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 2.845 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 2.845 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 2.845 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 2.845 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 2.845 * [taylor]: Taking taylor expansion of 0.5 in k 2.845 * [taylor]: Taking taylor expansion of k in k 2.845 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.845 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.845 * [taylor]: Taking taylor expansion of 2.0 in k 2.845 * [taylor]: Taking taylor expansion of (* n PI) in k 2.845 * [taylor]: Taking taylor expansion of n in k 2.845 * [taylor]: Taking taylor expansion of PI in k 2.848 * [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 2.848 * [taylor]: Taking taylor expansion of 1.0 in n 2.848 * [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 2.848 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.848 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.848 * [taylor]: Taking taylor expansion of k in n 2.849 * [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 2.849 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.849 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.849 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.849 * [taylor]: Taking taylor expansion of 0.5 in n 2.849 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.849 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.849 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.849 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.849 * [taylor]: Taking taylor expansion of 1.0 in n 2.849 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.849 * [taylor]: Taking taylor expansion of 2.0 in n 2.850 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.850 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.850 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.851 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.851 * [taylor]: Taking taylor expansion of 1.0 in n 2.851 * [taylor]: Taking taylor expansion of (log n) in n 2.851 * [taylor]: Taking taylor expansion of n in n 2.851 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.851 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.851 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.851 * [taylor]: Taking taylor expansion of 1.0 in n 2.851 * [taylor]: Taking taylor expansion of (log PI) in n 2.851 * [taylor]: Taking taylor expansion of PI in n 2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.857 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.857 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.857 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.857 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.857 * [taylor]: Taking taylor expansion of 0.5 in n 2.857 * [taylor]: Taking taylor expansion of k in n 2.857 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.857 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.857 * [taylor]: Taking taylor expansion of 2.0 in n 2.857 * [taylor]: Taking taylor expansion of (* n PI) in n 2.857 * [taylor]: Taking taylor expansion of n in n 2.857 * [taylor]: Taking taylor expansion of PI in n 2.863 * [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 2.863 * [taylor]: Taking taylor expansion of 1.0 in n 2.863 * [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 2.863 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.863 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.863 * [taylor]: Taking taylor expansion of k in n 2.863 * [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 2.863 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.863 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.863 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.863 * [taylor]: Taking taylor expansion of 0.5 in n 2.863 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.863 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.863 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.863 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.863 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.863 * [taylor]: Taking taylor expansion of 1.0 in n 2.863 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.863 * [taylor]: Taking taylor expansion of 2.0 in n 2.865 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.865 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.865 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.865 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.865 * [taylor]: Taking taylor expansion of 1.0 in n 2.865 * [taylor]: Taking taylor expansion of (log n) in n 2.865 * [taylor]: Taking taylor expansion of n in n 2.866 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.866 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.866 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.866 * [taylor]: Taking taylor expansion of 1.0 in n 2.866 * [taylor]: Taking taylor expansion of (log PI) in n 2.866 * [taylor]: Taking taylor expansion of PI in n 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 2.871 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 2.871 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 2.871 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 2.871 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 2.871 * [taylor]: Taking taylor expansion of 0.5 in n 2.871 * [taylor]: Taking taylor expansion of k in n 2.871 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.871 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.871 * [taylor]: Taking taylor expansion of 2.0 in n 2.872 * [taylor]: Taking taylor expansion of (* n PI) in n 2.872 * [taylor]: Taking taylor expansion of n in n 2.872 * [taylor]: Taking taylor expansion of PI in n 2.882 * [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 2.882 * [taylor]: Taking taylor expansion of 1.0 in k 2.882 * [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 2.883 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.883 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.883 * [taylor]: Taking taylor expansion of k in k 2.884 * [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 2.884 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in k 2.884 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in k 2.884 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in k 2.884 * [taylor]: Taking taylor expansion of 0.5 in k 2.884 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in k 2.884 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in k 2.884 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 2.884 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 2.884 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 2.884 * [taylor]: Taking taylor expansion of 1.0 in k 2.884 * [taylor]: Taking taylor expansion of (log PI) in k 2.884 * [taylor]: Taking taylor expansion of PI in k 2.886 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in k 2.886 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 2.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 2.886 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 2.886 * [taylor]: Taking taylor expansion of 1.0 in k 2.886 * [taylor]: Taking taylor expansion of (log n) in k 2.886 * [taylor]: Taking taylor expansion of n in k 2.886 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 2.886 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 2.886 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 2.886 * [taylor]: Taking taylor expansion of 1.0 in k 2.886 * [taylor]: Taking taylor expansion of (log 2.0) in k 2.886 * [taylor]: Taking taylor expansion of 2.0 in k 2.892 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 2.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 2.892 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 2.892 * [taylor]: Taking taylor expansion of 0.5 in k 2.892 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 2.892 * [taylor]: Taking taylor expansion of k in k 2.892 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.892 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.892 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.892 * [taylor]: Taking taylor expansion of 2.0 in k 2.892 * [taylor]: Taking taylor expansion of PI in k 2.893 * [taylor]: Taking taylor expansion of (log n) in k 2.893 * [taylor]: Taking taylor expansion of n in k 2.928 * [taylor]: Taking taylor expansion of 0 in k 2.979 * [taylor]: Taking taylor expansion of 0 in k 3.081 * [taylor]: Taking taylor expansion of 0 in k 3.199 * [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 3.199 * [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 3.199 * [taylor]: Taking taylor expansion of 1.0 in k 3.199 * [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 3.199 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.199 * [taylor]: Taking taylor expansion of k in k 3.200 * [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 3.200 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.200 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.200 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.200 * [taylor]: Taking taylor expansion of 0.5 in k 3.200 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.200 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.200 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 3.200 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.200 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.200 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.200 * [taylor]: Taking taylor expansion of 1.0 in k 3.200 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.200 * [taylor]: Taking taylor expansion of 2.0 in k 3.202 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.202 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.202 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.202 * [taylor]: Taking taylor expansion of 1.0 in k 3.202 * [taylor]: Taking taylor expansion of (log PI) in k 3.202 * [taylor]: Taking taylor expansion of PI in k 3.204 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.204 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.204 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.204 * [taylor]: Taking taylor expansion of 1.0 in k 3.204 * [taylor]: Taking taylor expansion of (log n) in k 3.204 * [taylor]: Taking taylor expansion of n in k 3.210 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.210 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.210 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.210 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.210 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.210 * [taylor]: Taking taylor expansion of 0.5 in k 3.210 * [taylor]: Taking taylor expansion of k in k 3.211 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.211 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.211 * [taylor]: Taking taylor expansion of 2.0 in k 3.211 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.211 * [taylor]: Taking taylor expansion of PI in k 3.211 * [taylor]: Taking taylor expansion of n in k 3.211 * [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 3.211 * [taylor]: Taking taylor expansion of 1.0 in n 3.211 * [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 3.211 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.211 * [taylor]: Taking taylor expansion of k in n 3.211 * [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 3.211 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.211 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.211 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.211 * [taylor]: Taking taylor expansion of 0.5 in n 3.211 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.211 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.211 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.211 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.211 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.211 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.211 * [taylor]: Taking taylor expansion of 1.0 in n 3.211 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.211 * [taylor]: Taking taylor expansion of 2.0 in n 3.213 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.213 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.213 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.213 * [taylor]: Taking taylor expansion of 1.0 in n 3.213 * [taylor]: Taking taylor expansion of (log PI) in n 3.213 * [taylor]: Taking taylor expansion of PI in n 3.215 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.215 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.215 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.215 * [taylor]: Taking taylor expansion of 1.0 in n 3.215 * [taylor]: Taking taylor expansion of (log n) in n 3.215 * [taylor]: Taking taylor expansion of n in n 3.222 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.222 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.222 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.222 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.222 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.222 * [taylor]: Taking taylor expansion of 0.5 in n 3.222 * [taylor]: Taking taylor expansion of k in n 3.222 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.222 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.222 * [taylor]: Taking taylor expansion of 2.0 in n 3.222 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.222 * [taylor]: Taking taylor expansion of PI in n 3.222 * [taylor]: Taking taylor expansion of n in n 3.226 * [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 3.226 * [taylor]: Taking taylor expansion of 1.0 in n 3.226 * [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 3.227 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.227 * [taylor]: Taking taylor expansion of k in n 3.227 * [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 3.227 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.227 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.227 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.227 * [taylor]: Taking taylor expansion of 0.5 in n 3.227 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.227 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.227 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 3.227 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.227 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.227 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.227 * [taylor]: Taking taylor expansion of 1.0 in n 3.227 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.227 * [taylor]: Taking taylor expansion of 2.0 in n 3.229 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.229 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.229 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.229 * [taylor]: Taking taylor expansion of 1.0 in n 3.229 * [taylor]: Taking taylor expansion of (log PI) in n 3.229 * [taylor]: Taking taylor expansion of PI in n 3.230 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.230 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.230 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.230 * [taylor]: Taking taylor expansion of 1.0 in n 3.230 * [taylor]: Taking taylor expansion of (log n) in n 3.231 * [taylor]: Taking taylor expansion of n in n 3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.237 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.237 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.237 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.237 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.237 * [taylor]: Taking taylor expansion of 0.5 in n 3.237 * [taylor]: Taking taylor expansion of k in n 3.238 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.238 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.238 * [taylor]: Taking taylor expansion of 2.0 in n 3.238 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.238 * [taylor]: Taking taylor expansion of PI in n 3.238 * [taylor]: Taking taylor expansion of n in n 3.253 * [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 3.253 * [taylor]: Taking taylor expansion of 1.0 in k 3.253 * [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 3.253 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.253 * [taylor]: Taking taylor expansion of k in k 3.254 * [taylor]: Taking taylor expansion of (* (pow (/ (* (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 3.254 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) in k 3.254 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))))) in k 3.254 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)))) in k 3.254 * [taylor]: Taking taylor expansion of 0.5 in k 3.254 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0))) in k 3.254 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) in k 3.254 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 3.254 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.254 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.254 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.254 * [taylor]: Taking taylor expansion of 1.0 in k 3.254 * [taylor]: Taking taylor expansion of (log PI) in k 3.254 * [taylor]: Taking taylor expansion of PI in k 3.256 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 3.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 3.256 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 3.256 * [taylor]: Taking taylor expansion of 1.0 in k 3.256 * [taylor]: Taking taylor expansion of (log 2.0) in k 3.256 * [taylor]: Taking taylor expansion of 2.0 in k 3.258 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.258 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.259 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.259 * [taylor]: Taking taylor expansion of 1.0 in k 3.259 * [taylor]: Taking taylor expansion of (log n) in k 3.259 * [taylor]: Taking taylor expansion of n in k 3.266 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 3.266 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 3.266 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 3.266 * [taylor]: Taking taylor expansion of 0.5 in k 3.266 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 3.266 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 3.266 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 3.266 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 3.266 * [taylor]: Taking taylor expansion of 2.0 in k 3.266 * [taylor]: Taking taylor expansion of PI in k 3.267 * [taylor]: Taking taylor expansion of (log n) in k 3.267 * [taylor]: Taking taylor expansion of n in k 3.267 * [taylor]: Taking taylor expansion of k in k 3.300 * [taylor]: Taking taylor expansion of 0 in k 3.362 * [taylor]: Taking taylor expansion of 0 in k 3.445 * [taylor]: Taking taylor expansion of 0 in k 3.496 * [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 3.496 * [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 3.497 * [taylor]: Taking taylor expansion of 1.0 in k 3.497 * [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 3.497 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.497 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.497 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.497 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.497 * [taylor]: Taking taylor expansion of -1 in k 3.497 * [taylor]: Taking taylor expansion of k in k 3.498 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.498 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.498 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.498 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.498 * [taylor]: Taking taylor expansion of -0.5 in k 3.498 * [taylor]: Taking taylor expansion of k in k 3.498 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.498 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.498 * [taylor]: Taking taylor expansion of -2.0 in k 3.498 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.498 * [taylor]: Taking taylor expansion of PI in k 3.498 * [taylor]: Taking taylor expansion of n in k 3.499 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.499 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.499 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.499 * [taylor]: Taking taylor expansion of 0.5 in k 3.499 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.499 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.499 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.499 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.499 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.499 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.499 * [taylor]: Taking taylor expansion of 1.0 in k 3.499 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.499 * [taylor]: Taking taylor expansion of -2.0 in k 3.501 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.501 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.501 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.501 * [taylor]: Taking taylor expansion of 1.0 in k 3.501 * [taylor]: Taking taylor expansion of (log PI) in k 3.501 * [taylor]: Taking taylor expansion of PI in k 3.503 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.503 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.503 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.503 * [taylor]: Taking taylor expansion of 1.0 in k 3.503 * [taylor]: Taking taylor expansion of (log n) in k 3.503 * [taylor]: Taking taylor expansion of n in k 3.515 * [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 3.515 * [taylor]: Taking taylor expansion of 1.0 in n 3.515 * [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 3.515 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.515 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.515 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.515 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.515 * [taylor]: Taking taylor expansion of -1 in n 3.515 * [taylor]: Taking taylor expansion of k in n 3.515 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.516 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.516 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.516 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.516 * [taylor]: Taking taylor expansion of -0.5 in n 3.516 * [taylor]: Taking taylor expansion of k in n 3.516 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.516 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.516 * [taylor]: Taking taylor expansion of -2.0 in n 3.516 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.516 * [taylor]: Taking taylor expansion of PI in n 3.516 * [taylor]: Taking taylor expansion of n in n 3.521 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.521 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.521 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.521 * [taylor]: Taking taylor expansion of 0.5 in n 3.521 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.521 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.521 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.521 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.521 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.521 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.521 * [taylor]: Taking taylor expansion of 1.0 in n 3.521 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.521 * [taylor]: Taking taylor expansion of -2.0 in n 3.523 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.523 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.523 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.523 * [taylor]: Taking taylor expansion of 1.0 in n 3.523 * [taylor]: Taking taylor expansion of (log PI) in n 3.523 * [taylor]: Taking taylor expansion of PI in n 3.525 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.525 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.525 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.525 * [taylor]: Taking taylor expansion of 1.0 in n 3.525 * [taylor]: Taking taylor expansion of (log n) in n 3.525 * [taylor]: Taking taylor expansion of n in n 3.532 * [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 3.532 * [taylor]: Taking taylor expansion of 1.0 in n 3.532 * [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 3.532 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.532 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.532 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.532 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.532 * [taylor]: Taking taylor expansion of -1 in n 3.532 * [taylor]: Taking taylor expansion of k in n 3.532 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.532 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.532 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.532 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.532 * [taylor]: Taking taylor expansion of -0.5 in n 3.532 * [taylor]: Taking taylor expansion of k in n 3.532 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.532 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.532 * [taylor]: Taking taylor expansion of -2.0 in n 3.532 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.532 * [taylor]: Taking taylor expansion of PI in n 3.532 * [taylor]: Taking taylor expansion of n in n 3.537 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 3.537 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 3.537 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 3.537 * [taylor]: Taking taylor expansion of 0.5 in n 3.537 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 3.537 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 3.537 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 3.537 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 3.537 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 3.537 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 3.537 * [taylor]: Taking taylor expansion of 1.0 in n 3.537 * [taylor]: Taking taylor expansion of (log -2.0) in n 3.537 * [taylor]: Taking taylor expansion of -2.0 in n 3.539 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.539 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.539 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.539 * [taylor]: Taking taylor expansion of 1.0 in n 3.539 * [taylor]: Taking taylor expansion of (log PI) in n 3.539 * [taylor]: Taking taylor expansion of PI in n 3.541 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.541 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.541 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.541 * [taylor]: Taking taylor expansion of 1.0 in n 3.541 * [taylor]: Taking taylor expansion of (log n) in n 3.541 * [taylor]: Taking taylor expansion of n in n 3.552 * [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 3.552 * [taylor]: Taking taylor expansion of 1.0 in k 3.552 * [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 3.552 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 3.552 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 3.552 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 3.552 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 3.552 * [taylor]: Taking taylor expansion of -0.5 in k 3.552 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 3.553 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 3.553 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 3.553 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 3.553 * [taylor]: Taking taylor expansion of -2.0 in k 3.553 * [taylor]: Taking taylor expansion of PI in k 3.554 * [taylor]: Taking taylor expansion of (log n) in k 3.554 * [taylor]: Taking taylor expansion of n in k 3.554 * [taylor]: Taking taylor expansion of k in k 3.556 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.556 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.556 * [taylor]: Taking taylor expansion of -1 in k 3.556 * [taylor]: Taking taylor expansion of k in k 3.560 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 3.560 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 3.560 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 3.560 * [taylor]: Taking taylor expansion of 0.5 in k 3.560 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 3.560 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 3.560 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 3.560 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 3.560 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 3.560 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 3.560 * [taylor]: Taking taylor expansion of 1.0 in k 3.560 * [taylor]: Taking taylor expansion of (log -2.0) in k 3.560 * [taylor]: Taking taylor expansion of -2.0 in k 3.562 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 3.562 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 3.562 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 3.562 * [taylor]: Taking taylor expansion of 1.0 in k 3.562 * [taylor]: Taking taylor expansion of (log PI) in k 3.562 * [taylor]: Taking taylor expansion of PI in k 3.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 3.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 3.564 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 3.564 * [taylor]: Taking taylor expansion of 1.0 in k 3.564 * [taylor]: Taking taylor expansion of (log n) in k 3.564 * [taylor]: Taking taylor expansion of n in k 3.607 * [taylor]: Taking taylor expansion of 0 in k 3.668 * [taylor]: Taking taylor expansion of 0 in k 3.721 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1) 3.722 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.722 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.722 * [taylor]: Taking taylor expansion of 2.0 in n 3.722 * [taylor]: Taking taylor expansion of (* n PI) in n 3.722 * [taylor]: Taking taylor expansion of n in n 3.722 * [taylor]: Taking taylor expansion of PI in n 3.722 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.722 * [taylor]: Taking taylor expansion of 2.0 in n 3.722 * [taylor]: Taking taylor expansion of (* n PI) in n 3.722 * [taylor]: Taking taylor expansion of n in n 3.722 * [taylor]: Taking taylor expansion of PI in n 3.734 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.734 * [taylor]: Taking taylor expansion of 2.0 in n 3.734 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.734 * [taylor]: Taking taylor expansion of PI in n 3.734 * [taylor]: Taking taylor expansion of n in n 3.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.735 * [taylor]: Taking taylor expansion of 2.0 in n 3.735 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.735 * [taylor]: Taking taylor expansion of PI in n 3.735 * [taylor]: Taking taylor expansion of n in n 3.743 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.744 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.744 * [taylor]: Taking taylor expansion of -2.0 in n 3.744 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.744 * [taylor]: Taking taylor expansion of PI in n 3.744 * [taylor]: Taking taylor expansion of n in n 3.744 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.744 * [taylor]: Taking taylor expansion of -2.0 in n 3.744 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.744 * [taylor]: Taking taylor expansion of PI in n 3.744 * [taylor]: Taking taylor expansion of n in n 3.753 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.754 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.754 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.754 * [taylor]: Taking taylor expansion of 2.0 in n 3.754 * [taylor]: Taking taylor expansion of (* n PI) in n 3.754 * [taylor]: Taking taylor expansion of n in n 3.754 * [taylor]: Taking taylor expansion of PI in n 3.754 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.754 * [taylor]: Taking taylor expansion of 2.0 in n 3.754 * [taylor]: Taking taylor expansion of (* n PI) in n 3.754 * [taylor]: Taking taylor expansion of n in n 3.754 * [taylor]: Taking taylor expansion of PI in n 3.766 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.766 * [taylor]: Taking taylor expansion of 2.0 in n 3.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.766 * [taylor]: Taking taylor expansion of PI in n 3.766 * [taylor]: Taking taylor expansion of n in n 3.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.766 * [taylor]: Taking taylor expansion of 2.0 in n 3.766 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.766 * [taylor]: Taking taylor expansion of PI in n 3.766 * [taylor]: Taking taylor expansion of n in n 3.781 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.781 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.781 * [taylor]: Taking taylor expansion of -2.0 in n 3.781 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.781 * [taylor]: Taking taylor expansion of PI in n 3.781 * [taylor]: Taking taylor expansion of n in n 3.782 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.782 * [taylor]: Taking taylor expansion of -2.0 in n 3.782 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.782 * [taylor]: Taking taylor expansion of PI in n 3.782 * [taylor]: Taking taylor expansion of n in n 3.790 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 3.791 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in (k n) around 0 3.791 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in n 3.791 * [taylor]: Taking taylor expansion of -1.0 in n 3.791 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in n 3.791 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.791 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.791 * [taylor]: Taking taylor expansion of k in n 3.791 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 3.791 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 3.791 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 3.791 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 3.791 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 3.791 * [taylor]: Taking taylor expansion of 0.5 in n 3.791 * [taylor]: Taking taylor expansion of k in n 3.791 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.791 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.791 * [taylor]: Taking taylor expansion of 2.0 in n 3.791 * [taylor]: Taking taylor expansion of (* n PI) in n 3.791 * [taylor]: Taking taylor expansion of n in n 3.791 * [taylor]: Taking taylor expansion of PI in n 3.798 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.798 * [taylor]: Taking taylor expansion of -1.0 in k 3.798 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.798 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.798 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.798 * [taylor]: Taking taylor expansion of k in k 3.799 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.799 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.799 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.799 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.799 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.799 * [taylor]: Taking taylor expansion of 0.5 in k 3.799 * [taylor]: Taking taylor expansion of k in k 3.799 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.799 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.799 * [taylor]: Taking taylor expansion of 2.0 in k 3.799 * [taylor]: Taking taylor expansion of (* n PI) in k 3.799 * [taylor]: Taking taylor expansion of n in k 3.799 * [taylor]: Taking taylor expansion of PI in k 3.802 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))))) in k 3.803 * [taylor]: Taking taylor expansion of -1.0 in k 3.803 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k)))) in k 3.803 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.803 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.803 * [taylor]: Taking taylor expansion of k in k 3.804 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 3.804 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 3.804 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 3.804 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 3.804 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 3.804 * [taylor]: Taking taylor expansion of 0.5 in k 3.804 * [taylor]: Taking taylor expansion of k in k 3.804 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.804 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.804 * [taylor]: Taking taylor expansion of 2.0 in k 3.804 * [taylor]: Taking taylor expansion of (* n PI) in k 3.804 * [taylor]: Taking taylor expansion of n in k 3.804 * [taylor]: Taking taylor expansion of PI in k 3.807 * [taylor]: Taking taylor expansion of 0 in n 3.809 * [taylor]: Taking taylor expansion of (- +nan.0) in n 3.809 * [taylor]: Taking taylor expansion of +nan.0 in n 3.817 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0))) in n 3.817 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- +nan.0)) in n 3.817 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 3.817 * [taylor]: Taking taylor expansion of +nan.0 in n 3.817 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.817 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.817 * [taylor]: Taking taylor expansion of 2.0 in n 3.817 * [taylor]: Taking taylor expansion of (* n PI) in n 3.817 * [taylor]: Taking taylor expansion of n in n 3.817 * [taylor]: Taking taylor expansion of PI in n 3.820 * [taylor]: Taking taylor expansion of (- +nan.0) in n 3.820 * [taylor]: Taking taylor expansion of +nan.0 in n 3.837 * [taylor]: Taking taylor expansion of (- (+ +nan.0 (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2))))))) in n 3.837 * [taylor]: Taking taylor expansion of (+ +nan.0 (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)))))) in n 3.837 * [taylor]: Taking taylor expansion of +nan.0 in n 3.837 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2))))) in n 3.837 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (log (* 2.0 (* n PI)))) (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)))) in n 3.837 * [taylor]: Taking taylor expansion of (* +nan.0 (log (* 2.0 (* n PI)))) in n 3.837 * [taylor]: Taking taylor expansion of +nan.0 in n 3.837 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.837 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.837 * [taylor]: Taking taylor expansion of 2.0 in n 3.837 * [taylor]: Taking taylor expansion of (* n PI) in n 3.837 * [taylor]: Taking taylor expansion of n in n 3.837 * [taylor]: Taking taylor expansion of PI in n 3.840 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (log (* 2.0 (* n PI))) 2))) in n 3.840 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (log (* 2.0 (* n PI))) 2)) in n 3.840 * [taylor]: Taking taylor expansion of +nan.0 in n 3.840 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.840 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.840 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.840 * [taylor]: Taking taylor expansion of 2.0 in n 3.840 * [taylor]: Taking taylor expansion of (* n PI) in n 3.840 * [taylor]: Taking taylor expansion of n in n 3.840 * [taylor]: Taking taylor expansion of PI in n 3.882 * [approximate]: Taking taylor expansion of (* -1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in (k n) around 0 3.882 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in n 3.882 * [taylor]: Taking taylor expansion of -1.0 in n 3.882 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in n 3.882 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.882 * [taylor]: Taking taylor expansion of k in n 3.882 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 3.882 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 3.882 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 3.882 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 3.882 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 3.882 * [taylor]: Taking taylor expansion of 0.5 in n 3.882 * [taylor]: Taking taylor expansion of k in n 3.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.882 * [taylor]: Taking taylor expansion of 2.0 in n 3.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.882 * [taylor]: Taking taylor expansion of PI in n 3.882 * [taylor]: Taking taylor expansion of n in n 3.886 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.886 * [taylor]: Taking taylor expansion of -1.0 in k 3.886 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.886 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.886 * [taylor]: Taking taylor expansion of k in k 3.887 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.888 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.888 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.888 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.888 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.888 * [taylor]: Taking taylor expansion of 0.5 in k 3.888 * [taylor]: Taking taylor expansion of k in k 3.888 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.888 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.888 * [taylor]: Taking taylor expansion of 2.0 in k 3.888 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.888 * [taylor]: Taking taylor expansion of PI in k 3.888 * [taylor]: Taking taylor expansion of n in k 3.888 * [taylor]: Taking taylor expansion of (* -1.0 (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))))) in k 3.888 * [taylor]: Taking taylor expansion of -1.0 in k 3.888 * [taylor]: Taking taylor expansion of (* (sqrt k) (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k)))) in k 3.888 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.888 * [taylor]: Taking taylor expansion of k in k 3.889 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 3.889 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 3.889 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 3.889 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 3.889 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 3.889 * [taylor]: Taking taylor expansion of 0.5 in k 3.889 * [taylor]: Taking taylor expansion of k in k 3.890 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.890 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.890 * [taylor]: Taking taylor expansion of 2.0 in k 3.890 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.890 * [taylor]: Taking taylor expansion of PI in k 3.890 * [taylor]: Taking taylor expansion of n in k 3.891 * [taylor]: Taking taylor expansion of 0 in n 3.892 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.892 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.892 * [taylor]: Taking taylor expansion of +nan.0 in n 3.892 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.892 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.892 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.892 * [taylor]: Taking taylor expansion of 0.5 in n 3.892 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.892 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.892 * [taylor]: Taking taylor expansion of 2.0 in n 3.892 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.892 * [taylor]: Taking taylor expansion of PI in n 3.892 * [taylor]: Taking taylor expansion of n in n 3.893 * [taylor]: Taking taylor expansion of k in n 3.903 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.904 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.904 * [taylor]: Taking taylor expansion of +nan.0 in n 3.904 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.904 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.904 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.904 * [taylor]: Taking taylor expansion of 0.5 in n 3.904 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.904 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.904 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.904 * [taylor]: Taking taylor expansion of 2.0 in n 3.904 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.904 * [taylor]: Taking taylor expansion of PI in n 3.904 * [taylor]: Taking taylor expansion of n in n 3.905 * [taylor]: Taking taylor expansion of k in n 3.923 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))))) in n 3.923 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))))) in n 3.923 * [taylor]: Taking taylor expansion of +nan.0 in n 3.923 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k)))) in n 3.923 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (log (* 2.0 (/ PI n))) k))) in n 3.923 * [taylor]: Taking taylor expansion of (* 0.5 (/ (log (* 2.0 (/ PI n))) k)) in n 3.923 * [taylor]: Taking taylor expansion of 0.5 in n 3.923 * [taylor]: Taking taylor expansion of (/ (log (* 2.0 (/ PI n))) k) in n 3.923 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.923 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.924 * [taylor]: Taking taylor expansion of 2.0 in n 3.924 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.924 * [taylor]: Taking taylor expansion of PI in n 3.924 * [taylor]: Taking taylor expansion of n in n 3.925 * [taylor]: Taking taylor expansion of k in n 3.935 * [approximate]: Taking taylor expansion of (/ -1.0 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in (k n) around 0 3.935 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 3.935 * [taylor]: Taking taylor expansion of -1.0 in n 3.935 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 3.935 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.935 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.935 * [taylor]: Taking taylor expansion of -1 in n 3.935 * [taylor]: Taking taylor expansion of k in n 3.935 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 3.935 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 3.935 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 3.935 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 3.935 * [taylor]: Taking taylor expansion of -0.5 in n 3.935 * [taylor]: Taking taylor expansion of k in n 3.935 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.935 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.935 * [taylor]: Taking taylor expansion of -2.0 in n 3.935 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.935 * [taylor]: Taking taylor expansion of PI in n 3.935 * [taylor]: Taking taylor expansion of n in n 3.940 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.940 * [taylor]: Taking taylor expansion of -1.0 in k 3.940 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.940 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.940 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.940 * [taylor]: Taking taylor expansion of -1 in k 3.940 * [taylor]: Taking taylor expansion of k in k 3.942 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.942 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.942 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.942 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.942 * [taylor]: Taking taylor expansion of -0.5 in k 3.942 * [taylor]: Taking taylor expansion of k in k 3.942 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.942 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.942 * [taylor]: Taking taylor expansion of -2.0 in k 3.942 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.942 * [taylor]: Taking taylor expansion of PI in k 3.942 * [taylor]: Taking taylor expansion of n in k 3.943 * [taylor]: Taking taylor expansion of (/ -1.0 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 3.943 * [taylor]: Taking taylor expansion of -1.0 in k 3.943 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 3.943 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.943 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.943 * [taylor]: Taking taylor expansion of -1 in k 3.943 * [taylor]: Taking taylor expansion of k in k 3.944 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 3.944 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 3.944 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 3.944 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 3.944 * [taylor]: Taking taylor expansion of -0.5 in k 3.944 * [taylor]: Taking taylor expansion of k in k 3.945 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.945 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.945 * [taylor]: Taking taylor expansion of -2.0 in k 3.945 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.945 * [taylor]: Taking taylor expansion of PI in k 3.945 * [taylor]: Taking taylor expansion of n in k 3.946 * [taylor]: Taking taylor expansion of (/ +nan.0 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.946 * [taylor]: Taking taylor expansion of +nan.0 in n 3.946 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.946 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.946 * [taylor]: Taking taylor expansion of -0.5 in n 3.946 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.946 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.946 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.946 * [taylor]: Taking taylor expansion of -2.0 in n 3.946 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.946 * [taylor]: Taking taylor expansion of PI in n 3.946 * [taylor]: Taking taylor expansion of n in n 3.953 * [taylor]: Taking taylor expansion of k in n 3.961 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 3.961 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 3.961 * [taylor]: Taking taylor expansion of +nan.0 in n 3.961 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.962 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.962 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.962 * [taylor]: Taking taylor expansion of -0.5 in n 3.962 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.962 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.962 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.962 * [taylor]: Taking taylor expansion of -2.0 in n 3.962 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.962 * [taylor]: Taking taylor expansion of PI in n 3.962 * [taylor]: Taking taylor expansion of n in n 3.963 * [taylor]: Taking taylor expansion of k in n 3.982 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))))) in n 3.982 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))))) in n 3.982 * [taylor]: Taking taylor expansion of +nan.0 in n 3.982 * [taylor]: Taking taylor expansion of (/ 1 (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k)))) in n 3.982 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (log (* -2.0 (/ PI n))) k))) in n 3.982 * [taylor]: Taking taylor expansion of (* -0.5 (/ (log (* -2.0 (/ PI n))) k)) in n 3.982 * [taylor]: Taking taylor expansion of -0.5 in n 3.982 * [taylor]: Taking taylor expansion of (/ (log (* -2.0 (/ PI n))) k) in n 3.982 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.982 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.982 * [taylor]: Taking taylor expansion of -2.0 in n 3.982 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.982 * [taylor]: Taking taylor expansion of PI in n 3.982 * [taylor]: Taking taylor expansion of n in n 3.983 * [taylor]: Taking taylor expansion of k in n 3.993 * * * [progress]: simplifying candidates 3.996 * [simplify]: Simplifying using # : (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (- 1.0)) (* -1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (- (- 1.0))) (* -1 (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) 1) (* -1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (sqrt k))) (* -1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* -1 (pow n (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* -1 (pow (* PI n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* -1 (pow (* 2.0 n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* -1 (pow (* 2.0 PI) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* -1 (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* -1 (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (* -1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0)) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- 1.0)) (* (- -1) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (- 1.0))) (* (- -1) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1) (* (- -1) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (- 1.0) (sqrt k))) (* (- -1) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (- -1) (pow n (/ k 2.0))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (- -1) (pow (* PI n) (/ k 2.0))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (- -1) (pow (* 2.0 n) (/ k 2.0))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (- -1) (pow (* 2.0 PI) (/ k 2.0))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (- -1) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (- -1) (sqrt k)) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) -1) (* (- -1) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0)) (* 1 (- 1.0)) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 1 (- (- 1.0))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* 1 1) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* 1 (/ (- 1.0) (sqrt k))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1 (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow n (/ k 2.0))) (* 1 (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (* 1 (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (* 1 (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (* 1 (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* 1 (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (* 1 -1) (* (/ -1 (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) (/ 1.0 2.0)) (- 1.0)) (* (/ -1 (pow n (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (- (- 1.0))) (* (/ -1 (pow n (/ 1.0 2.0))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) 1) (* (/ -1 (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)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow n (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow n (/ 1.0 2.0))) (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) -1) (* (/ -1 (pow n (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0)) (* (pow 2.0 (/ 1.0 2.0)) (- 1.0)) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (pow 2.0 (/ 1.0 2.0)) (- (- 1.0))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow 2.0 (/ 1.0 2.0)) 1) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow n (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) -1) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0)) (* (pow PI (/ 1.0 2.0)) (- 1.0)) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (pow PI (/ 1.0 2.0)) (- (- 1.0))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow PI (/ 1.0 2.0)) 1) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow n (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (sqrt k)) (* (pow PI (/ 1.0 2.0)) -1) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0)) (* (pow n (/ 1.0 2.0)) (- 1.0)) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (pow n (/ 1.0 2.0)) (- (- 1.0))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow n (/ 1.0 2.0)) 1) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt k)) (* (pow n (/ 1.0 2.0)) -1) (* (/ -1 (pow (* 2.0 PI) (/ 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) 2)) (- 1.0)) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (- 1.0))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) 1) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow n (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* PI n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* 2.0 n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) -1) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (* (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) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (sqrt k))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow n (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (- 1.0)) (* (/ 1 -1) (/ (- 1.0) (* (sqrt k) (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)) -1) (- (- 1.0))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) 1) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (sqrt k))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) -1) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* 1 (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (- (- 1.0)) (- (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ -1 (sqrt k)) (/ 1.0 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ -1 (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (/ 1.0 (pow n (/ k 2.0))) (/ -1 (* (sqrt k) (pow 2.0 (/ k 2.0)))) (/ 1.0 (pow (* PI n) (/ k 2.0))) (/ -1 (* (sqrt k) (pow PI (/ k 2.0)))) (/ 1.0 (pow (* 2.0 n) (/ k 2.0))) (/ -1 (* (sqrt k) (pow n (/ k 2.0)))) (/ 1.0 (pow (* 2.0 PI) (/ k 2.0))) (/ -1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ 1.0 (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ -1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1.0 (sqrt k)) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0)) (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (- 1.0) (sqrt k)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0)))) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0)))) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0)))) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0) (- (+ (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (+ (* +nan.0 (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)))))))))))))))))))))) (- (+ (* +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)))))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (- (+ (* +nan.0 (* (pow k 2) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow k 2) (log n))) (- (+ (* +nan.0 (pow k 2)) (- (+ (* +nan.0 k) (- (+ (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* k (log (* 2.0 PI)))) (- (+ (* +nan.0 (* k (log n))) (- +nan.0))))))))))))))))))) (- (+ (* +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)))))) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k))) (- (* +nan.0 (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))))))) 4.011 * * [simplify]: iteration 0 : 1379 enodes (cost 2312 ) 4.036 * * [simplify]: iteration 1 : 5002 enodes (cost 2230 ) 4.046 * [simplify]: Simplified to: (* 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))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (* -1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (sqrt k))) (* -1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* -1 (pow n (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* -1 (pow (* PI n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* -1 (pow (* 2.0 n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* -1 (pow (* 2.0 PI) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* -1 (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* -1 (sqrt k)) (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* -1 (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0)) (* 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)))) (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0)) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* 2.0 PI) (/ k 2.0))) (/ 1.0 (sqrt k))) (pow n (/ k 2.0)) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow 2.0 (/ k 2.0))) (/ 1.0 (sqrt k))) (pow (* PI n) (/ k 2.0)) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow PI (/ k 2.0))) (/ 1.0 (sqrt k))) (pow (* 2.0 n) (/ k 2.0)) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow n (/ k 2.0))) (/ 1.0 (sqrt k))) (pow (* 2.0 PI) (/ k 2.0)) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)) (* (/ 1.0 (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0) (- 1.0) (* (/ -1 (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) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) 1 (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (/ (- 1.0) (sqrt k)) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow n (/ k 2.0))) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0)))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0)))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0)))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) -1 (* (/ -1 (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) (/ 1.0 2.0)) (- 1.0)) (* (/ -1 (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))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow n (/ 1.0 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0)) (* (/ -1 (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)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow n (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow n (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow n (/ 1.0 2.0))) (sqrt k)) (* (pow (* 2.0 PI) (/ 1.0 2.0)) -1) (* (/ -1 (pow n (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0)) (* (pow 2.0 (/ 1.0 2.0)) (- 1.0)) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 1.0 (pow 2.0 (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* PI n) (/ 1.0 2.0))) (pow 2.0 (/ 1.0 2.0)) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow n (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (sqrt k)) (* (pow 2.0 (/ 1.0 2.0)) -1) (* (/ -1 (pow (* PI n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0)) (* (pow PI (/ 1.0 2.0)) (- 1.0)) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 1.0 (pow PI (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 n) (/ 1.0 2.0))) (pow PI (/ 1.0 2.0)) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow n (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (sqrt k)) (* (pow PI (/ 1.0 2.0)) -1) (* (/ -1 (pow (* 2.0 n) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0)) (* (pow n (/ 1.0 2.0)) (- 1.0)) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 1.0 (pow n (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ 1.0 2.0)) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow n (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* PI n) (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 n) (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (sqrt k)) (* (pow n (/ 1.0 2.0)) -1) (* (/ -1 (pow (* 2.0 PI) (/ 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) 2)) (- 1.0)) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (sqrt k))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow n (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* PI n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* 2.0 n) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* 2.0 PI) (/ k 2.0))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (sqrt k)) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) -1) (* (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (/ (* (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) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (sqrt k))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow n (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (- 1.0)) (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (- 1.0)) (* 1.0 (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (sqrt k))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) -1) (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1.0 (sqrt k))) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (pow (* 2.0 PI) (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow 2.0 (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow PI (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow n (/ 1.0 2.0)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) 1.0 (* -1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 0 (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ -1 (sqrt k)) (/ 1.0 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ -1 (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (/ 1.0 (pow n (/ k 2.0))) (/ -1 (* (sqrt k) (pow 2.0 (/ k 2.0)))) (/ 1.0 (pow (* PI n) (/ k 2.0))) (/ -1 (* (sqrt k) (pow PI (/ k 2.0)))) (/ 1.0 (pow (* 2.0 n) (/ k 2.0))) (/ -1 (* (sqrt k) (pow n (/ k 2.0)))) (/ 1.0 (pow (* 2.0 PI) (/ k 2.0))) (/ -1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ 1.0 (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (/ -1 (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1.0 (sqrt k)) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (- 1.0)) (/ 1.0 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (- 1.0) (sqrt k)) (/ (- 1.0) (* (sqrt k) (pow (* 2.0 PI) (/ k 2.0)))) (/ (- 1.0) (* (sqrt k) (pow 2.0 (/ k 2.0)))) (/ (- 1.0) (* (sqrt k) (pow PI (/ k 2.0)))) (/ (- 1.0) (* (sqrt k) (pow n (/ k 2.0)))) (/ (- 1.0) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2)))) (/ (- 1.0) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) 1.0) (+ (- (* +nan.0 (* (* (pow k 2) (pow (log (* 2.0 PI)) 2)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (- (* +nan.0 (* (* (pow k 2) (log (* 2.0 PI))) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (* (log (* 2.0 PI)) (log n))) (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (* (* (pow k 2) (log n)) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (- (* +nan.0 (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))) (fma +nan.0 (* (pow k 2) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* k (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) (+ (- (* +nan.0 (* (/ 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)))) (fma +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)))) (fma +nan.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))) (pow (/ (* (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)) (- (* +nan.0 (* (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))) (pow (/ (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) (pow -1 1.0)) 0.5)))))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (- (* +nan.0 (* (pow k 2) (pow (log n) 2)))) (- (* +nan.0 (* (pow k 2) (log (* 2.0 PI)))) (- (* +nan.0 (* (pow k 2) (pow (log (* 2.0 PI)) 2))) (- (* +nan.0 (* (pow k 2) (log n))) (- (* +nan.0 (pow k 2)) (- (* +nan.0 k) (- (* +nan.0 (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* k (log (* 2.0 PI)))) (fma +nan.0 (* k (log n)) (- +nan.0)))))))))) (+ (- (* +nan.0 (/ 1 (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))) (fma +nan.0 (/ 1 (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (- (* +nan.0 (/ 1 (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (+ (- (* +nan.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2))))) (fma +nan.0 (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ 1 (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n))))))))))) 4.047 * * * [progress]: adding candidates to table 4.691 * * [progress]: iteration 4 / 4 4.691 * * * [progress]: picking best candidate 4.706 * * * * [pick]: Picked # 4.706 * * * [progress]: localizing error 4.729 * * * [progress]: generating rewritten candidates 4.730 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2 1) 4.733 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1) 4.737 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2 1) 4.740 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.744 * * * [progress]: generating series expansions 4.744 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2 1) 4.745 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.745 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.745 * [taylor]: Taking taylor expansion of 2.0 in n 4.745 * [taylor]: Taking taylor expansion of (* n PI) in n 4.745 * [taylor]: Taking taylor expansion of n in n 4.745 * [taylor]: Taking taylor expansion of PI in n 4.745 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.745 * [taylor]: Taking taylor expansion of 2.0 in n 4.745 * [taylor]: Taking taylor expansion of (* n PI) in n 4.745 * [taylor]: Taking taylor expansion of n in n 4.745 * [taylor]: Taking taylor expansion of PI in n 4.761 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.761 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.761 * [taylor]: Taking taylor expansion of 2.0 in n 4.761 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.761 * [taylor]: Taking taylor expansion of PI in n 4.762 * [taylor]: Taking taylor expansion of n in n 4.762 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.762 * [taylor]: Taking taylor expansion of 2.0 in n 4.762 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.762 * [taylor]: Taking taylor expansion of PI in n 4.762 * [taylor]: Taking taylor expansion of n in n 4.771 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.771 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.771 * [taylor]: Taking taylor expansion of -2.0 in n 4.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.771 * [taylor]: Taking taylor expansion of PI in n 4.771 * [taylor]: Taking taylor expansion of n in n 4.771 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.771 * [taylor]: Taking taylor expansion of -2.0 in n 4.771 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.771 * [taylor]: Taking taylor expansion of PI in n 4.771 * [taylor]: Taking taylor expansion of n in n 4.779 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1) 4.780 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.780 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.780 * [taylor]: Taking taylor expansion of 2.0 in n 4.780 * [taylor]: Taking taylor expansion of (* n PI) in n 4.780 * [taylor]: Taking taylor expansion of n in n 4.780 * [taylor]: Taking taylor expansion of PI in n 4.780 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.780 * [taylor]: Taking taylor expansion of 2.0 in n 4.780 * [taylor]: Taking taylor expansion of (* n PI) in n 4.780 * [taylor]: Taking taylor expansion of n in n 4.780 * [taylor]: Taking taylor expansion of PI in n 4.792 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.792 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.792 * [taylor]: Taking taylor expansion of 2.0 in n 4.793 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.793 * [taylor]: Taking taylor expansion of PI in n 4.793 * [taylor]: Taking taylor expansion of n in n 4.793 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.793 * [taylor]: Taking taylor expansion of 2.0 in n 4.793 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.793 * [taylor]: Taking taylor expansion of PI in n 4.793 * [taylor]: Taking taylor expansion of n in n 4.802 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.802 * [taylor]: Taking taylor expansion of -2.0 in n 4.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.802 * [taylor]: Taking taylor expansion of PI in n 4.802 * [taylor]: Taking taylor expansion of n in n 4.802 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.802 * [taylor]: Taking taylor expansion of -2.0 in n 4.802 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.802 * [taylor]: Taking taylor expansion of PI in n 4.802 * [taylor]: Taking taylor expansion of n in n 4.811 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2 1) 4.811 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 4.811 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.811 * [taylor]: Taking taylor expansion of 2.0 in n 4.811 * [taylor]: Taking taylor expansion of (* n PI) in n 4.811 * [taylor]: Taking taylor expansion of n in n 4.811 * [taylor]: Taking taylor expansion of PI in n 4.811 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 4.811 * [taylor]: Taking taylor expansion of 2.0 in n 4.811 * [taylor]: Taking taylor expansion of (* n PI) in n 4.811 * [taylor]: Taking taylor expansion of n in n 4.811 * [taylor]: Taking taylor expansion of PI in n 4.823 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 4.823 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.823 * [taylor]: Taking taylor expansion of 2.0 in n 4.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.823 * [taylor]: Taking taylor expansion of PI in n 4.823 * [taylor]: Taking taylor expansion of n in n 4.823 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 4.823 * [taylor]: Taking taylor expansion of 2.0 in n 4.823 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.823 * [taylor]: Taking taylor expansion of PI in n 4.824 * [taylor]: Taking taylor expansion of n in n 4.838 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 4.838 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.838 * [taylor]: Taking taylor expansion of -2.0 in n 4.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.838 * [taylor]: Taking taylor expansion of PI in n 4.838 * [taylor]: Taking taylor expansion of n in n 4.838 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 4.838 * [taylor]: Taking taylor expansion of -2.0 in n 4.838 * [taylor]: Taking taylor expansion of (/ PI n) in n 4.838 * [taylor]: Taking taylor expansion of PI in n 4.838 * [taylor]: Taking taylor expansion of n in n 4.847 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.847 * [approximate]: Taking taylor expansion of (* -1 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in (n) around 0 4.847 * [taylor]: Taking taylor expansion of (* -1 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 4.847 * [taylor]: Taking taylor expansion of -1 in n 4.847 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 4.847 * [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 4.847 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.847 * [taylor]: Taking taylor expansion of 0.5 in n 4.847 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.847 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.848 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.848 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.848 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.848 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.848 * [taylor]: Taking taylor expansion of 1.0 in n 4.848 * [taylor]: Taking taylor expansion of (log PI) in n 4.848 * [taylor]: Taking taylor expansion of PI in n 4.849 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.849 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.849 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.849 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.849 * [taylor]: Taking taylor expansion of 1.0 in n 4.850 * [taylor]: Taking taylor expansion of (log n) in n 4.850 * [taylor]: Taking taylor expansion of n in n 4.850 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.850 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.850 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.850 * [taylor]: Taking taylor expansion of 1.0 in n 4.850 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.850 * [taylor]: Taking taylor expansion of 2.0 in n 4.856 * [taylor]: Taking taylor expansion of (* -1 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) in n 4.856 * [taylor]: Taking taylor expansion of -1 in n 4.856 * [taylor]: Taking taylor expansion of (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5) in n 4.856 * [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 4.856 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 4.856 * [taylor]: Taking taylor expansion of 0.5 in n 4.856 * [taylor]: Taking taylor expansion of (log (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 4.856 * [taylor]: Taking taylor expansion of (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 4.856 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 4.856 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 4.856 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 4.856 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 4.856 * [taylor]: Taking taylor expansion of 1.0 in n 4.856 * [taylor]: Taking taylor expansion of (log PI) in n 4.856 * [taylor]: Taking taylor expansion of PI in n 4.859 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 4.859 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 4.859 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 4.859 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 4.859 * [taylor]: Taking taylor expansion of 1.0 in n 4.859 * [taylor]: Taking taylor expansion of (log n) in n 4.860 * [taylor]: Taking taylor expansion of n in n 4.860 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 4.860 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 4.860 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 4.860 * [taylor]: Taking taylor expansion of 1.0 in n 4.860 * [taylor]: Taking taylor expansion of (log 2.0) in n 4.860 * [taylor]: Taking taylor expansion of 2.0 in n 5.142 * [approximate]: Taking taylor expansion of (* -1 (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) in (n) around 0 5.142 * [taylor]: Taking taylor expansion of (* -1 (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) in n 5.142 * [taylor]: Taking taylor expansion of -1 in n 5.142 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 5.142 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 5.142 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 5.142 * [taylor]: Taking taylor expansion of 0.5 in n 5.142 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 5.142 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.142 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.142 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.142 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.142 * [taylor]: Taking taylor expansion of 1.0 in n 5.142 * [taylor]: Taking taylor expansion of (log n) in n 5.142 * [taylor]: Taking taylor expansion of n in n 5.143 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.143 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.143 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.143 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.143 * [taylor]: Taking taylor expansion of 1.0 in n 5.143 * [taylor]: Taking taylor expansion of (log PI) in n 5.143 * [taylor]: Taking taylor expansion of PI in n 5.144 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.145 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.145 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.145 * [taylor]: Taking taylor expansion of 1.0 in n 5.145 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.145 * [taylor]: Taking taylor expansion of 2.0 in n 5.153 * [taylor]: Taking taylor expansion of (* -1 (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)) in n 5.153 * [taylor]: Taking taylor expansion of -1 in n 5.153 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) in n 5.153 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))))) in n 5.153 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))))) in n 5.153 * [taylor]: Taking taylor expansion of 0.5 in n 5.153 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0)))) in n 5.153 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) in n 5.153 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.153 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.153 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.153 * [taylor]: Taking taylor expansion of 1.0 in n 5.153 * [taylor]: Taking taylor expansion of (log n) in n 5.153 * [taylor]: Taking taylor expansion of n in n 5.154 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in n 5.154 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.154 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.154 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.154 * [taylor]: Taking taylor expansion of 1.0 in n 5.154 * [taylor]: Taking taylor expansion of (log PI) in n 5.154 * [taylor]: Taking taylor expansion of PI in n 5.162 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 5.162 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 5.162 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 5.162 * [taylor]: Taking taylor expansion of 1.0 in n 5.162 * [taylor]: Taking taylor expansion of (log 2.0) in n 5.162 * [taylor]: Taking taylor expansion of 2.0 in n 5.465 * [approximate]: Taking taylor expansion of (* -1 (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in (n) around 0 5.465 * [taylor]: Taking taylor expansion of (* -1 (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 5.465 * [taylor]: Taking taylor expansion of -1 in n 5.465 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 5.465 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 5.465 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 5.465 * [taylor]: Taking taylor expansion of 0.5 in n 5.465 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 5.465 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 5.465 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.465 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.465 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.465 * [taylor]: Taking taylor expansion of 1.0 in n 5.465 * [taylor]: Taking taylor expansion of (log n) in n 5.465 * [taylor]: Taking taylor expansion of n in n 5.466 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.466 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.466 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.466 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.466 * [taylor]: Taking taylor expansion of 1.0 in n 5.466 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.466 * [taylor]: Taking taylor expansion of -2.0 in n 5.467 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.467 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.467 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.468 * [taylor]: Taking taylor expansion of 1.0 in n 5.468 * [taylor]: Taking taylor expansion of (log PI) in n 5.468 * [taylor]: Taking taylor expansion of PI in n 5.476 * [taylor]: Taking taylor expansion of (* -1 (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5)) in n 5.476 * [taylor]: Taking taylor expansion of -1 in n 5.476 * [taylor]: Taking taylor expansion of (pow (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) 0.5) in n 5.476 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))))) in n 5.476 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))))) in n 5.476 * [taylor]: Taking taylor expansion of 0.5 in n 5.476 * [taylor]: Taking taylor expansion of (log (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0)))) in n 5.476 * [taylor]: Taking taylor expansion of (/ (pow n 1.0) (* (pow -2.0 1.0) (pow PI 1.0))) in n 5.476 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 5.476 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 5.476 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 5.476 * [taylor]: Taking taylor expansion of 1.0 in n 5.476 * [taylor]: Taking taylor expansion of (log n) in n 5.476 * [taylor]: Taking taylor expansion of n in n 5.477 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 5.477 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 5.477 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 5.477 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 5.477 * [taylor]: Taking taylor expansion of 1.0 in n 5.477 * [taylor]: Taking taylor expansion of (log -2.0) in n 5.477 * [taylor]: Taking taylor expansion of -2.0 in n 5.479 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 5.479 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 5.479 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 5.479 * [taylor]: Taking taylor expansion of 1.0 in n 5.479 * [taylor]: Taking taylor expansion of (log PI) in n 5.479 * [taylor]: Taking taylor expansion of PI in n 5.788 * * * [progress]: simplifying candidates 5.789 * [simplify]: Simplifying using # : (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (- -1) (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (/ -1 (pow 2.0 (/ 1.0 2.0))) (/ -1 (pow PI (/ 1.0 2.0))) (/ -1 (pow n (/ 1.0 2.0))) (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* -1 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (* -1 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (* -1 (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) 5.792 * * [simplify]: iteration 0 : 100 enodes (cost 84 ) 5.794 * * [simplify]: iteration 1 : 279 enodes (cost 84 ) 5.800 * * [simplify]: iteration 2 : 1199 enodes (cost 84 ) 5.825 * * [simplify]: iteration 3 : 5001 enodes (cost 84 ) 5.826 * [simplify]: Simplified to: (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (* PI n) (* 2.0 n) (- -1) (- (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ 1 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) -1) (/ -1 (pow (* 2.0 PI) (/ 1.0 2.0))) (/ -1 (pow 2.0 (/ 1.0 2.0))) (/ -1 (pow PI (/ 1.0 2.0))) (/ -1 (pow n (/ 1.0 2.0))) (/ -1 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* -1 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (* -1 (pow (/ 1 (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) 0.5)) (* -1 (pow (/ (pow -1 1.0) (* (pow -2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) 0.5)) 5.826 * * * [progress]: adding candidates to table 5.934 * [progress]: [Phase 3 of 3] Extracting. 5.934 * * [regime]: Finding splitpoints for: (# # # # # #) 5.936 * * * [regime-changes]: Trying 3 branch expressions: ((* (* 2.0 PI) n) n k) 5.936 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # #) 5.969 * * * * [regimes]: Trying to branch on n from (# # # # # #) 6.001 * * * * [regimes]: Trying to branch on k from (# # # # # #) 6.030 * * * [regime]: Found split indices: #