34.069 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.161 * * * [progress]: [2/2] Setting up program. 0.166 * [progress]: [Phase 2 of 3] Improving. 0.166 * [simplify]: Simplifying using # : (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.168 * * [simplify]: iteration 0 : 29 enodes (cost 8 ) 0.169 * * [simplify]: iteration 1 : 59 enodes (cost 8 ) 0.170 * * [simplify]: iteration 2 : 119 enodes (cost 8 ) 0.173 * * [simplify]: iteration 3 : 325 enodes (cost 8 ) 0.178 * * [simplify]: iteration 4 : 1034 enodes (cost 8 ) 0.200 * * [simplify]: iteration 5 : 5001 enodes (cost 8 ) 0.201 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.201 * * [progress]: iteration 1 / 4 0.201 * * * [progress]: picking best candidate 0.205 * * * * [pick]: Picked # 0.205 * * * [progress]: localizing error 0.219 * * * [progress]: generating rewritten candidates 0.219 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.230 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.233 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.238 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.252 * * * [progress]: generating series expansions 0.252 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.253 * [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 0.253 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in n 0.253 * [taylor]: Taking taylor expansion of 1.0 in n 0.253 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in n 0.253 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 0.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.253 * [taylor]: Taking taylor expansion of k in n 0.253 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.253 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.253 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.253 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.253 * [taylor]: Taking taylor expansion of 0.5 in n 0.253 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.253 * [taylor]: Taking taylor expansion of 1.0 in n 0.253 * [taylor]: Taking taylor expansion of k in n 0.253 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.253 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.253 * [taylor]: Taking taylor expansion of 2.0 in n 0.253 * [taylor]: Taking taylor expansion of (* n PI) in n 0.253 * [taylor]: Taking taylor expansion of n in n 0.253 * [taylor]: Taking taylor expansion of PI in n 0.253 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.253 * [taylor]: Taking taylor expansion of 1.0 in k 0.253 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) in k 0.254 * [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 k in k 0.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.254 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.254 * [taylor]: Taking taylor expansion of 0.5 in k 0.254 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.254 * [taylor]: Taking taylor expansion of 1.0 in k 0.254 * [taylor]: Taking taylor expansion of k in k 0.254 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.254 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.254 * [taylor]: Taking taylor expansion of 2.0 in k 0.254 * [taylor]: Taking taylor expansion of (* n PI) in k 0.254 * [taylor]: Taking taylor expansion of n in k 0.254 * [taylor]: Taking taylor expansion of PI in k 0.254 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))))) in k 0.254 * [taylor]: Taking taylor expansion of 1.0 in k 0.254 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k)))) 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 k in k 0.254 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.254 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.254 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.254 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.254 * [taylor]: Taking taylor expansion of 0.5 in k 0.254 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.254 * [taylor]: Taking taylor expansion of 1.0 in k 0.254 * [taylor]: Taking taylor expansion of k in k 0.254 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.254 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.254 * [taylor]: Taking taylor expansion of 2.0 in k 0.254 * [taylor]: Taking taylor expansion of (* n PI) in k 0.254 * [taylor]: Taking taylor expansion of n in k 0.254 * [taylor]: Taking taylor expansion of PI in k 0.255 * [taylor]: Taking taylor expansion of 0 in n 0.256 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 0.256 * [taylor]: Taking taylor expansion of 1.0 in n 0.256 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 0.256 * [taylor]: Taking taylor expansion of NAN in n 0.256 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 0.256 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 0.256 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 0.256 * [taylor]: Taking taylor expansion of 0.5 in n 0.256 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 0.256 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 0.256 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.256 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.256 * [taylor]: Taking taylor expansion of 1.0 in n 0.256 * [taylor]: Taking taylor expansion of (log PI) in n 0.256 * [taylor]: Taking taylor expansion of PI in n 0.256 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 0.256 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.256 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.256 * [taylor]: Taking taylor expansion of 1.0 in n 0.256 * [taylor]: Taking taylor expansion of (log n) in n 0.256 * [taylor]: Taking taylor expansion of n in n 0.256 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.256 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.256 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.256 * [taylor]: Taking taylor expansion of 1.0 in n 0.256 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.256 * [taylor]: Taking taylor expansion of 2.0 in n 0.260 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3))) in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 3)) in n 0.260 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.260 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.260 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.260 * [taylor]: Taking taylor expansion of 0.5 in n 0.260 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.260 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.260 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.260 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.260 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.260 * [taylor]: Taking taylor expansion of 1.0 in n 0.260 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.260 * [taylor]: Taking taylor expansion of 2.0 in n 0.260 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.261 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.261 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.261 * [taylor]: Taking taylor expansion of 1.0 in n 0.261 * [taylor]: Taking taylor expansion of (log n) in n 0.261 * [taylor]: Taking taylor expansion of n in n 0.261 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.261 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.261 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.261 * [taylor]: Taking taylor expansion of 1.0 in n 0.261 * [taylor]: Taking taylor expansion of (log PI) in n 0.261 * [taylor]: Taking taylor expansion of PI in n 0.265 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.265 * [taylor]: Taking taylor expansion of NAN in n 0.265 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.265 * [taylor]: Taking taylor expansion of 0.5 in n 0.265 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.265 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 0.266 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.266 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.266 * [taylor]: Taking taylor expansion of 2.0 in n 0.266 * [taylor]: Taking taylor expansion of (* n PI) in n 0.266 * [taylor]: Taking taylor expansion of n in n 0.266 * [taylor]: Taking taylor expansion of PI in n 0.266 * [taylor]: Taking taylor expansion of NAN in n 0.266 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.266 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.266 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.266 * [taylor]: Taking taylor expansion of 0.5 in n 0.266 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.266 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.266 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.266 * [taylor]: Taking taylor expansion of 1.0 in n 0.266 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.266 * [taylor]: Taking taylor expansion of 2.0 in n 0.266 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.266 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.266 * [taylor]: Taking taylor expansion of 1.0 in n 0.266 * [taylor]: Taking taylor expansion of (log n) in n 0.266 * [taylor]: Taking taylor expansion of n in n 0.266 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.266 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.266 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.266 * [taylor]: Taking taylor expansion of 1.0 in n 0.266 * [taylor]: Taking taylor expansion of (log PI) in n 0.266 * [taylor]: Taking taylor expansion of PI in n 0.277 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 0.277 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)))) in n 0.277 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.277 * [taylor]: Taking taylor expansion of 0.125 in n 0.277 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.277 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 0.277 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 0.277 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.277 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.277 * [taylor]: Taking taylor expansion of 2.0 in n 0.277 * [taylor]: Taking taylor expansion of (* n PI) in n 0.277 * [taylor]: Taking taylor expansion of n in n 0.277 * [taylor]: Taking taylor expansion of PI in n 0.277 * [taylor]: Taking taylor expansion of NAN in n 0.277 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.277 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.277 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.277 * [taylor]: Taking taylor expansion of 0.5 in n 0.277 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.277 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.277 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.277 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.277 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.277 * [taylor]: Taking taylor expansion of 1.0 in n 0.277 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.277 * [taylor]: Taking taylor expansion of 2.0 in n 0.278 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.278 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.278 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.278 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.278 * [taylor]: Taking taylor expansion of 1.0 in n 0.278 * [taylor]: Taking taylor expansion of (log n) in n 0.278 * [taylor]: Taking taylor expansion of n in n 0.278 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.278 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.278 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.278 * [taylor]: Taking taylor expansion of 1.0 in n 0.278 * [taylor]: Taking taylor expansion of (log PI) in n 0.278 * [taylor]: Taking taylor expansion of PI in n 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5))) in n 0.279 * [taylor]: Taking taylor expansion of 1.0 in n 0.279 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow NAN 5)) in n 0.279 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.279 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.279 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.279 * [taylor]: Taking taylor expansion of 0.5 in n 0.279 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.279 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.279 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.279 * [taylor]: Taking taylor expansion of 1.0 in n 0.279 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.279 * [taylor]: Taking taylor expansion of 2.0 in n 0.279 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.279 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.279 * [taylor]: Taking taylor expansion of 1.0 in n 0.279 * [taylor]: Taking taylor expansion of (log n) in n 0.279 * [taylor]: Taking taylor expansion of n in n 0.279 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.279 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.279 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.279 * [taylor]: Taking taylor expansion of 1.0 in n 0.279 * [taylor]: Taking taylor expansion of (log PI) in n 0.279 * [taylor]: Taking taylor expansion of PI in n 0.280 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.280 * [taylor]: Taking taylor expansion of NAN in n 0.280 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 0.280 * [taylor]: Taking taylor expansion of 0.5 in n 0.280 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 0.280 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 0.280 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.280 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.280 * [taylor]: Taking taylor expansion of 2.0 in n 0.280 * [taylor]: Taking taylor expansion of (* n PI) in n 0.280 * [taylor]: Taking taylor expansion of n in n 0.280 * [taylor]: Taking taylor expansion of PI in n 0.281 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.281 * [taylor]: Taking taylor expansion of NAN in n 0.281 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 0.281 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 0.281 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 0.281 * [taylor]: Taking taylor expansion of 0.5 in n 0.281 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 0.281 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 0.281 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 0.281 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 0.281 * [taylor]: Taking taylor expansion of 1.0 in n 0.281 * [taylor]: Taking taylor expansion of (log 2.0) in n 0.281 * [taylor]: Taking taylor expansion of 2.0 in n 0.281 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 0.281 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 0.281 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 0.281 * [taylor]: Taking taylor expansion of 1.0 in n 0.281 * [taylor]: Taking taylor expansion of (log n) in n 0.281 * [taylor]: Taking taylor expansion of n in n 0.281 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 0.281 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 0.281 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 0.281 * [taylor]: Taking taylor expansion of 1.0 in n 0.281 * [taylor]: Taking taylor expansion of (log PI) in n 0.281 * [taylor]: Taking taylor expansion of PI in n 0.295 * [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 0.295 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 0.295 * [taylor]: Taking taylor expansion of 1.0 in n 0.295 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 0.295 * [taylor]: Taking taylor expansion of (sqrt k) in n 0.295 * [taylor]: Taking taylor expansion of k in n 0.295 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.295 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.296 * [taylor]: Taking taylor expansion of 0.5 in n 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.296 * [taylor]: Taking taylor expansion of 1.0 in n 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.296 * [taylor]: Taking taylor expansion of k in n 0.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.296 * [taylor]: Taking taylor expansion of 2.0 in n 0.296 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.296 * [taylor]: Taking taylor expansion of PI in n 0.296 * [taylor]: Taking taylor expansion of n in n 0.296 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.296 * [taylor]: Taking taylor expansion of 1.0 in k 0.296 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.296 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.296 * [taylor]: Taking taylor expansion of k in k 0.296 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.296 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.296 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.296 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.296 * [taylor]: Taking taylor expansion of 0.5 in k 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.296 * [taylor]: Taking taylor expansion of 1.0 in k 0.296 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.296 * [taylor]: Taking taylor expansion of k in k 0.296 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.296 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.296 * [taylor]: Taking taylor expansion of 2.0 in k 0.296 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.296 * [taylor]: Taking taylor expansion of PI in k 0.296 * [taylor]: Taking taylor expansion of n in k 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 0.297 * [taylor]: Taking taylor expansion of 1.0 in k 0.297 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 0.297 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.297 * [taylor]: Taking taylor expansion of k in k 0.297 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.297 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.297 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.297 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.297 * [taylor]: Taking taylor expansion of 0.5 in k 0.297 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.297 * [taylor]: Taking taylor expansion of 1.0 in k 0.297 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.297 * [taylor]: Taking taylor expansion of k in k 0.297 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.297 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.297 * [taylor]: Taking taylor expansion of 2.0 in k 0.297 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.297 * [taylor]: Taking taylor expansion of PI in k 0.297 * [taylor]: Taking taylor expansion of n in k 0.298 * [taylor]: Taking taylor expansion of 0 in n 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.298 * [taylor]: Taking taylor expansion of NAN in n 0.298 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.298 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.298 * [taylor]: Taking taylor expansion of 0.5 in n 0.298 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.298 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.298 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.298 * [taylor]: Taking taylor expansion of 2.0 in n 0.298 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.298 * [taylor]: Taking taylor expansion of PI in n 0.298 * [taylor]: Taking taylor expansion of n in n 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.298 * [taylor]: Taking taylor expansion of 1.0 in n 0.298 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.298 * [taylor]: Taking taylor expansion of k in n 0.299 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.299 * [taylor]: Taking taylor expansion of 1.0 in n 0.299 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.299 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 0.299 * [taylor]: Taking taylor expansion of NAN in n 0.299 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.299 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.300 * [taylor]: Taking taylor expansion of 0.5 in n 0.300 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.300 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.300 * [taylor]: Taking taylor expansion of 2.0 in n 0.300 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.300 * [taylor]: Taking taylor expansion of PI in n 0.300 * [taylor]: Taking taylor expansion of n in n 0.300 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.300 * [taylor]: Taking taylor expansion of 1.0 in n 0.300 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.300 * [taylor]: Taking taylor expansion of k in n 0.302 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 0.302 * [taylor]: Taking taylor expansion of 1.0 in n 0.302 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 0.302 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 0.302 * [taylor]: Taking taylor expansion of NAN in n 0.302 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 0.302 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 0.302 * [taylor]: Taking taylor expansion of 0.5 in n 0.302 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 0.302 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.302 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.302 * [taylor]: Taking taylor expansion of 2.0 in n 0.302 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.302 * [taylor]: Taking taylor expansion of PI in n 0.302 * [taylor]: Taking taylor expansion of n in n 0.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.302 * [taylor]: Taking taylor expansion of 1.0 in n 0.302 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.302 * [taylor]: Taking taylor expansion of k in n 0.304 * [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 0.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 0.304 * [taylor]: Taking taylor expansion of 1.0 in n 0.304 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 0.304 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.304 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.304 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.304 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.304 * [taylor]: Taking taylor expansion of 0.5 in n 0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.304 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.304 * [taylor]: Taking taylor expansion of k in n 0.304 * [taylor]: Taking taylor expansion of 1.0 in n 0.305 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.305 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.305 * [taylor]: Taking taylor expansion of -2.0 in n 0.305 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.305 * [taylor]: Taking taylor expansion of PI in n 0.305 * [taylor]: Taking taylor expansion of n in n 0.305 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 0.305 * [taylor]: Taking taylor expansion of (/ -1 k) in n 0.305 * [taylor]: Taking taylor expansion of -1 in n 0.305 * [taylor]: Taking taylor expansion of k in n 0.305 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.305 * [taylor]: Taking taylor expansion of 1.0 in k 0.305 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.305 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.305 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.305 * [taylor]: Taking taylor expansion of 0.5 in k 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.305 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.305 * [taylor]: Taking taylor expansion of k in k 0.305 * [taylor]: Taking taylor expansion of 1.0 in k 0.305 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.305 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.305 * [taylor]: Taking taylor expansion of -2.0 in k 0.305 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.306 * [taylor]: Taking taylor expansion of PI in k 0.306 * [taylor]: Taking taylor expansion of n in k 0.306 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.306 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.306 * [taylor]: Taking taylor expansion of -1 in k 0.306 * [taylor]: Taking taylor expansion of k in k 0.306 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 0.306 * [taylor]: Taking taylor expansion of 1.0 in k 0.306 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 0.306 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.306 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.306 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.306 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.306 * [taylor]: Taking taylor expansion of 0.5 in k 0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.306 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.306 * [taylor]: Taking taylor expansion of k in k 0.306 * [taylor]: Taking taylor expansion of 1.0 in k 0.306 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.306 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.306 * [taylor]: Taking taylor expansion of -2.0 in k 0.306 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.306 * [taylor]: Taking taylor expansion of PI in k 0.306 * [taylor]: Taking taylor expansion of n in k 0.306 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.306 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.306 * [taylor]: Taking taylor expansion of -1 in k 0.307 * [taylor]: Taking taylor expansion of k in k 0.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.307 * [taylor]: Taking taylor expansion of 1.0 in n 0.307 * [taylor]: Taking taylor expansion of (/ (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.307 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.307 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.307 * [taylor]: Taking taylor expansion of 0.5 in n 0.307 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.307 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.307 * [taylor]: Taking taylor expansion of k in n 0.307 * [taylor]: Taking taylor expansion of 1.0 in n 0.307 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.307 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.307 * [taylor]: Taking taylor expansion of -2.0 in n 0.307 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.307 * [taylor]: Taking taylor expansion of PI in n 0.307 * [taylor]: Taking taylor expansion of n in n 0.307 * [taylor]: Taking taylor expansion of NAN in n 0.308 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN))) in n 0.308 * [taylor]: Taking taylor expansion of (* 1.0 (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.308 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 0.308 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 0.308 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 0.308 * [taylor]: Taking taylor expansion of 0.5 in n 0.308 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.308 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.308 * [taylor]: Taking taylor expansion of k in n 0.308 * [taylor]: Taking taylor expansion of 1.0 in n 0.309 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.309 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.309 * [taylor]: Taking taylor expansion of -2.0 in n 0.309 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.309 * [taylor]: Taking taylor expansion of PI in n 0.309 * [taylor]: Taking taylor expansion of n in n 0.309 * [taylor]: Taking taylor expansion of NAN in n 0.311 * [taylor]: Taking taylor expansion of 0 in n 0.314 * [taylor]: Taking taylor expansion of 0 in n 0.314 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.314 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 0.314 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.314 * [taylor]: Taking taylor expansion of 1.0 in k 0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.314 * [taylor]: Taking taylor expansion of k in k 0.314 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 0.314 * [taylor]: Taking taylor expansion of 1.0 in k 0.314 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 0.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.314 * [taylor]: Taking taylor expansion of k in k 0.315 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 0.315 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.315 * [taylor]: Taking taylor expansion of 1.0 in k 0.315 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.315 * [taylor]: Taking taylor expansion of k in k 0.315 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 0.315 * [taylor]: Taking taylor expansion of 1.0 in k 0.315 * [taylor]: Taking taylor expansion of (sqrt k) in k 0.315 * [taylor]: Taking taylor expansion of k in k 0.316 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 0.316 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.316 * [taylor]: Taking taylor expansion of 1.0 in k 0.317 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.317 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.317 * [taylor]: Taking taylor expansion of -1 in k 0.317 * [taylor]: Taking taylor expansion of k in k 0.317 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 0.317 * [taylor]: Taking taylor expansion of 1.0 in k 0.317 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 0.317 * [taylor]: Taking taylor expansion of (/ -1 k) in k 0.317 * [taylor]: Taking taylor expansion of -1 in k 0.317 * [taylor]: Taking taylor expansion of k in k 0.321 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 0.321 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 0.321 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.321 * [taylor]: Taking taylor expansion of 2.0 in n 0.321 * [taylor]: Taking taylor expansion of (* n PI) in n 0.321 * [taylor]: Taking taylor expansion of n in n 0.322 * [taylor]: Taking taylor expansion of PI in n 0.322 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.322 * [taylor]: Taking taylor expansion of 2.0 in n 0.322 * [taylor]: Taking taylor expansion of (* n PI) in n 0.322 * [taylor]: Taking taylor expansion of n in n 0.322 * [taylor]: Taking taylor expansion of PI in n 0.322 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 0.322 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.322 * [taylor]: Taking taylor expansion of 2.0 in n 0.322 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.322 * [taylor]: Taking taylor expansion of PI in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.323 * [taylor]: Taking taylor expansion of 2.0 in n 0.323 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.323 * [taylor]: Taking taylor expansion of PI in n 0.323 * [taylor]: Taking taylor expansion of n in n 0.323 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 0.323 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.323 * [taylor]: Taking taylor expansion of -2.0 in n 0.323 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.324 * [taylor]: Taking taylor expansion of PI in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.324 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.324 * [taylor]: Taking taylor expansion of -2.0 in n 0.324 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.324 * [taylor]: Taking taylor expansion of PI in n 0.324 * [taylor]: Taking taylor expansion of n in n 0.324 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.325 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 0.325 * [taylor]: Taking taylor expansion of 0.5 in k 0.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.325 * [taylor]: Taking taylor expansion of 1.0 in k 0.325 * [taylor]: Taking taylor expansion of k in k 0.325 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 0.325 * [taylor]: Taking taylor expansion of 2.0 in k 0.325 * [taylor]: Taking taylor expansion of (* n PI) in k 0.325 * [taylor]: Taking taylor expansion of n in k 0.325 * [taylor]: Taking taylor expansion of PI in k 0.325 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.325 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.325 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.325 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.325 * [taylor]: Taking taylor expansion of 0.5 in n 0.325 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.325 * [taylor]: Taking taylor expansion of 1.0 in n 0.325 * [taylor]: Taking taylor expansion of k 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 0.326 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 0.326 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 0.326 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 0.326 * [taylor]: Taking taylor expansion of 0.5 in n 0.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 0.326 * [taylor]: Taking taylor expansion of 1.0 in n 0.326 * [taylor]: Taking taylor expansion of k in n 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 0.326 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 0.326 * [taylor]: Taking taylor expansion of 2.0 in n 0.326 * [taylor]: Taking taylor expansion of (* n PI) in n 0.326 * [taylor]: Taking taylor expansion of n in n 0.326 * [taylor]: Taking taylor expansion of PI in n 0.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 0.326 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 0.326 * [taylor]: Taking taylor expansion of 0.5 in k 0.326 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 0.326 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 0.326 * [taylor]: Taking taylor expansion of 1.0 in k 0.326 * [taylor]: Taking taylor expansion of k in k 0.326 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 0.326 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.326 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.326 * [taylor]: Taking taylor expansion of 2.0 in k 0.326 * [taylor]: Taking taylor expansion of PI in k 0.326 * [taylor]: Taking taylor expansion of (log n) in k 0.326 * [taylor]: Taking taylor expansion of n in k 0.327 * [taylor]: Taking taylor expansion of 0 in k 0.328 * [taylor]: Taking taylor expansion of 0 in k 0.330 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 0.330 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 0.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 0.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 0.331 * [taylor]: Taking taylor expansion of 0.5 in k 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.331 * [taylor]: Taking taylor expansion of 1.0 in k 0.331 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.331 * [taylor]: Taking taylor expansion of k in k 0.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 0.331 * [taylor]: Taking taylor expansion of 2.0 in k 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.331 * [taylor]: Taking taylor expansion of PI in k 0.331 * [taylor]: Taking taylor expansion of n in k 0.331 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.331 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.331 * [taylor]: Taking taylor expansion of 0.5 in n 0.331 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.331 * [taylor]: Taking taylor expansion of 1.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.331 * [taylor]: Taking taylor expansion of k in n 0.331 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.331 * [taylor]: Taking taylor expansion of 2.0 in n 0.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.331 * [taylor]: Taking taylor expansion of PI in n 0.331 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 0.332 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 0.332 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 0.332 * [taylor]: Taking taylor expansion of 0.5 in n 0.332 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 0.332 * [taylor]: Taking taylor expansion of 1.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.332 * [taylor]: Taking taylor expansion of k in n 0.332 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 0.332 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 0.332 * [taylor]: Taking taylor expansion of 2.0 in n 0.332 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.332 * [taylor]: Taking taylor expansion of PI in n 0.332 * [taylor]: Taking taylor expansion of n in n 0.332 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))))) in k 0.332 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k)))) in k 0.332 * [taylor]: Taking taylor expansion of 0.5 in k 0.332 * [taylor]: Taking taylor expansion of (* (- (log (* 2.0 PI)) (log n)) (- 1.0 (/ 1 k))) in k 0.332 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 0.332 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 0.332 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 0.333 * [taylor]: Taking taylor expansion of 2.0 in k 0.333 * [taylor]: Taking taylor expansion of PI in k 0.333 * [taylor]: Taking taylor expansion of (log n) in k 0.333 * [taylor]: Taking taylor expansion of n in k 0.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 0.333 * [taylor]: Taking taylor expansion of 1.0 in k 0.333 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.333 * [taylor]: Taking taylor expansion of k in k 0.334 * [taylor]: Taking taylor expansion of 0 in k 0.334 * [taylor]: Taking taylor expansion of 0 in k 0.335 * [taylor]: Taking taylor expansion of 0 in k 0.336 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 0.336 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 0.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 0.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 0.336 * [taylor]: Taking taylor expansion of 0.5 in k 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.336 * [taylor]: Taking taylor expansion of k in k 0.336 * [taylor]: Taking taylor expansion of 1.0 in k 0.336 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 0.336 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 0.336 * [taylor]: Taking taylor expansion of -2.0 in k 0.336 * [taylor]: Taking taylor expansion of (/ PI n) in k 0.336 * [taylor]: Taking taylor expansion of PI in k 0.336 * [taylor]: Taking taylor expansion of n in k 0.336 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.336 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.336 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.336 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.336 * [taylor]: Taking taylor expansion of 0.5 in n 0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.336 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.336 * [taylor]: Taking taylor expansion of k in n 0.336 * [taylor]: Taking taylor expansion of 1.0 in n 0.336 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.336 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.336 * [taylor]: Taking taylor expansion of -2.0 in n 0.336 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.336 * [taylor]: Taking taylor expansion of PI in n 0.336 * [taylor]: Taking taylor expansion of n in n 0.337 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 0.337 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 0.337 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 0.337 * [taylor]: Taking taylor expansion of 0.5 in n 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 0.337 * [taylor]: Taking taylor expansion of (/ 1 k) in n 0.337 * [taylor]: Taking taylor expansion of k in n 0.337 * [taylor]: Taking taylor expansion of 1.0 in n 0.337 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 0.337 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 0.337 * [taylor]: Taking taylor expansion of -2.0 in n 0.337 * [taylor]: Taking taylor expansion of (/ PI n) in n 0.337 * [taylor]: Taking taylor expansion of PI in n 0.337 * [taylor]: Taking taylor expansion of n in n 0.337 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))))) in k 0.337 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n)))) in k 0.337 * [taylor]: Taking taylor expansion of 0.5 in k 0.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (- (log (* -2.0 PI)) (log n))) in k 0.337 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 0.337 * [taylor]: Taking taylor expansion of (/ 1 k) in k 0.337 * [taylor]: Taking taylor expansion of k in k 0.337 * [taylor]: Taking taylor expansion of 1.0 in k 0.337 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 0.337 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 0.337 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 0.337 * [taylor]: Taking taylor expansion of -2.0 in k 0.337 * [taylor]: Taking taylor expansion of PI in k 0.338 * [taylor]: Taking taylor expansion of (log n) in k 0.338 * [taylor]: Taking taylor expansion of n in k 0.338 * [taylor]: Taking taylor expansion of 0 in k 0.339 * [taylor]: Taking taylor expansion of 0 in k 0.340 * [taylor]: Taking taylor expansion of 0 in k 0.340 * * * [progress]: simplifying candidates 0.343 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 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(log (* -2.0 PI)) (log (/ -1 n)))))) 0.355 * * [simplify]: iteration 0 : 953 enodes (cost 1493 ) 0.372 * * [simplify]: iteration 1 : 4234 enodes (cost 1364 ) 0.438 * * [simplify]: iteration 2 : 5001 enodes (cost 1351 ) 0.445 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 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1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) 3) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) NAN)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n)))) (* 0.5 (* k (* NAN (log n))))))) (* 1.0 (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) NAN) k) (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) (pow k 2)) (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 3))))) (* 1.0 (+ (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN) (/ (* NAN (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (- (- (+ (+ (* (* 0.125 (pow k 2)) (+ (* (pow (exp 0.5) (log (* (* 2.0 PI) n))) (pow (log (* 2.0 PI)) 2)) (* (pow (log n) 2) (pow (exp 0.5) (log (* (* 2.0 PI) n)))))) (pow (* (* 2.0 PI) n) 0.5)) (* (* (* (* (log n) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log (* 2.0 PI))) (pow k 2)) 0.25)) (* (* (* k (pow (exp 0.5) (log (* (* 2.0 PI) n)))) (log n)) 0.5)) (* (* (* k (log (* 2.0 PI))) (pow (exp 0.5) (log (* (* 2.0 PI) n)))) 0.5)) (pow (* (* 2.0 PI) n) (* 0.5 (- 1.0 k))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 0.446 * * * [progress]: adding candidates to table 1.423 * * [progress]: iteration 2 / 4 1.423 * * * [progress]: picking best candidate 1.457 * * * * [pick]: Picked # 1.457 * * * [progress]: localizing error 1.476 * * * [progress]: generating rewritten candidates 1.476 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 1.484 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.494 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 1.499 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 1.509 * * * [progress]: generating series expansions 1.509 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 1.509 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in (n) around 0 1.509 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.509 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.509 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.509 * [taylor]: Taking taylor expansion of 0.5 in n 1.509 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.509 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.509 * [taylor]: Taking taylor expansion of 2.0 in n 1.510 * [taylor]: Taking taylor expansion of (* n PI) in n 1.510 * [taylor]: Taking taylor expansion of n in n 1.510 * [taylor]: Taking taylor expansion of PI in n 1.510 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) 0.5) in n 1.510 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (* n PI))))) in n 1.510 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (* n PI)))) in n 1.510 * [taylor]: Taking taylor expansion of 0.5 in n 1.510 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.510 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.510 * [taylor]: Taking taylor expansion of 2.0 in n 1.510 * [taylor]: Taking taylor expansion of (* n PI) in n 1.510 * [taylor]: Taking taylor expansion of n in n 1.510 * [taylor]: Taking taylor expansion of PI in n 1.517 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in (n) around 0 1.517 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.517 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.517 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.517 * [taylor]: Taking taylor expansion of 0.5 in n 1.517 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.517 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.517 * [taylor]: Taking taylor expansion of 2.0 in n 1.517 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.517 * [taylor]: Taking taylor expansion of PI in n 1.517 * [taylor]: Taking taylor expansion of n in n 1.518 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) 0.5) in n 1.518 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* 2.0 (/ PI n))))) in n 1.518 * [taylor]: Taking taylor expansion of (* 0.5 (log (* 2.0 (/ PI n)))) in n 1.518 * [taylor]: Taking taylor expansion of 0.5 in n 1.518 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.518 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.518 * [taylor]: Taking taylor expansion of 2.0 in n 1.518 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.518 * [taylor]: Taking taylor expansion of PI in n 1.518 * [taylor]: Taking taylor expansion of n in n 1.525 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in (n) around 0 1.525 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.525 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.525 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.525 * [taylor]: Taking taylor expansion of 0.5 in n 1.525 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.525 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.525 * [taylor]: Taking taylor expansion of -2.0 in n 1.525 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.525 * [taylor]: Taking taylor expansion of PI in n 1.526 * [taylor]: Taking taylor expansion of n in n 1.526 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) 0.5) in n 1.526 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* -2.0 (/ PI n))))) in n 1.526 * [taylor]: Taking taylor expansion of (* 0.5 (log (* -2.0 (/ PI n)))) in n 1.526 * [taylor]: Taking taylor expansion of 0.5 in n 1.526 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.526 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.526 * [taylor]: Taking taylor expansion of -2.0 in n 1.526 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.526 * [taylor]: Taking taylor expansion of PI in n 1.526 * [taylor]: Taking taylor expansion of n in n 1.533 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.533 * [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 1.533 * [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 1.533 * [taylor]: Taking taylor expansion of 1.0 in k 1.533 * [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 1.533 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.533 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.533 * [taylor]: Taking taylor expansion of k in k 1.533 * [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 1.533 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in k 1.534 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in k 1.534 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in k 1.534 * [taylor]: Taking taylor expansion of 0.5 in k 1.534 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in k 1.534 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in k 1.534 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.534 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.534 * [taylor]: Taking taylor expansion of 1.0 in k 1.534 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.534 * [taylor]: Taking taylor expansion of 2.0 in k 1.534 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in k 1.534 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.534 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.534 * [taylor]: Taking taylor expansion of 1.0 in k 1.534 * [taylor]: Taking taylor expansion of (log n) in k 1.534 * [taylor]: Taking taylor expansion of n in k 1.534 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.534 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.534 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.534 * [taylor]: Taking taylor expansion of 1.0 in k 1.534 * [taylor]: Taking taylor expansion of (log PI) in k 1.534 * [taylor]: Taking taylor expansion of PI in k 1.535 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in k 1.535 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in k 1.535 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in k 1.535 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in k 1.535 * [taylor]: Taking taylor expansion of (* 0.5 k) in k 1.535 * [taylor]: Taking taylor expansion of 0.5 in k 1.535 * [taylor]: Taking taylor expansion of k in k 1.535 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 1.535 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 1.535 * [taylor]: Taking taylor expansion of 2.0 in k 1.535 * [taylor]: Taking taylor expansion of (* n PI) in k 1.535 * [taylor]: Taking taylor expansion of n in k 1.535 * [taylor]: Taking taylor expansion of PI in k 1.535 * [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 1.535 * [taylor]: Taking taylor expansion of 1.0 in n 1.535 * [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 1.536 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.536 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.536 * [taylor]: Taking taylor expansion of k in n 1.536 * [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 1.536 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.536 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.536 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.536 * [taylor]: Taking taylor expansion of 0.5 in n 1.536 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.536 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.536 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.536 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.536 * [taylor]: Taking taylor expansion of 1.0 in n 1.536 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.536 * [taylor]: Taking taylor expansion of 2.0 in n 1.536 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.536 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.536 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.536 * [taylor]: Taking taylor expansion of 1.0 in n 1.536 * [taylor]: Taking taylor expansion of (log n) in n 1.536 * [taylor]: Taking taylor expansion of n in n 1.536 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.536 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.536 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.536 * [taylor]: Taking taylor expansion of 1.0 in n 1.536 * [taylor]: Taking taylor expansion of (log PI) in n 1.536 * [taylor]: Taking taylor expansion of PI in n 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.537 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.537 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.537 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.537 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.537 * [taylor]: Taking taylor expansion of 0.5 in n 1.537 * [taylor]: Taking taylor expansion of k in n 1.537 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.537 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.537 * [taylor]: Taking taylor expansion of 2.0 in n 1.537 * [taylor]: Taking taylor expansion of (* n PI) in n 1.537 * [taylor]: Taking taylor expansion of n in n 1.537 * [taylor]: Taking taylor expansion of PI in n 1.538 * [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 1.538 * [taylor]: Taking taylor expansion of 1.0 in n 1.538 * [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 1.538 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 1.538 * [taylor]: Taking taylor expansion of (/ 1 k) in n 1.538 * [taylor]: Taking taylor expansion of k in n 1.538 * [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 1.538 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 1.538 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 1.538 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 1.538 * [taylor]: Taking taylor expansion of 0.5 in n 1.538 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 1.538 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 1.538 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.538 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.538 * [taylor]: Taking taylor expansion of 1.0 in n 1.538 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.538 * [taylor]: Taking taylor expansion of 2.0 in n 1.538 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 1.538 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.538 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.538 * [taylor]: Taking taylor expansion of 1.0 in n 1.538 * [taylor]: Taking taylor expansion of (log n) in n 1.538 * [taylor]: Taking taylor expansion of n in n 1.538 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.538 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.539 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.539 * [taylor]: Taking taylor expansion of 1.0 in n 1.539 * [taylor]: Taking taylor expansion of (log PI) in n 1.539 * [taylor]: Taking taylor expansion of PI in n 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (* n PI)) (* 0.5 k))) in n 1.539 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 k)) in n 1.539 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 k) (log (* 2.0 (* n PI))))) in n 1.539 * [taylor]: Taking taylor expansion of (* (* 0.5 k) (log (* 2.0 (* n PI)))) in n 1.539 * [taylor]: Taking taylor expansion of (* 0.5 k) in n 1.539 * [taylor]: Taking taylor expansion of 0.5 in n 1.539 * [taylor]: Taking taylor expansion of k in n 1.540 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 1.540 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.540 * [taylor]: Taking taylor expansion of 2.0 in n 1.540 * [taylor]: Taking taylor expansion of (* n PI) in n 1.540 * [taylor]: Taking taylor expansion of n in n 1.540 * [taylor]: Taking taylor expansion of PI in n 1.541 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)))) in k 1.541 * [taylor]: Taking taylor expansion of 1.0 in k 1.541 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5))) in k 1.541 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 1.541 * [taylor]: Taking taylor expansion of (/ 1 k) in k 1.541 * [taylor]: Taking taylor expansion of k in k 1.541 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) in k 1.541 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))))) in k 1.541 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* k (+ (log (* 2.0 PI)) (log n))))) in k 1.541 * [taylor]: Taking taylor expansion of (* 0.5 (* k (+ (log (* 2.0 PI)) (log n)))) in k 1.541 * [taylor]: Taking taylor expansion of 0.5 in k 1.541 * [taylor]: Taking taylor expansion of (* k (+ (log (* 2.0 PI)) (log n))) in k 1.541 * [taylor]: Taking taylor expansion of k in k 1.541 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 1.541 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.541 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.541 * [taylor]: Taking taylor expansion of 2.0 in k 1.541 * [taylor]: Taking taylor expansion of PI in k 1.541 * [taylor]: Taking taylor expansion of (log n) in k 1.541 * [taylor]: Taking taylor expansion of n in k 1.542 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5) in k 1.542 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))))) in k 1.542 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))))) in k 1.542 * [taylor]: Taking taylor expansion of 0.5 in k 1.542 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)))) in k 1.542 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) in k 1.542 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.542 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.542 * [taylor]: Taking taylor expansion of 1.0 in k 1.542 * [taylor]: Taking taylor expansion of (log PI) in k 1.542 * [taylor]: Taking taylor expansion of PI in k 1.542 * [taylor]: Taking taylor expansion of (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0)) in k 1.542 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.542 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.542 * [taylor]: Taking taylor expansion of 1.0 in k 1.542 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.542 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.542 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.542 * [taylor]: Taking taylor expansion of 1.0 in k 1.542 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.542 * [taylor]: Taking taylor expansion of (log 1) in k 1.542 * [taylor]: Taking taylor expansion of 1 in k 1.542 * [taylor]: Taking taylor expansion of (log n) in k 1.542 * [taylor]: Taking taylor expansion of n in k 1.543 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.543 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.543 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.543 * [taylor]: Taking taylor expansion of 1.0 in k 1.543 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.543 * [taylor]: Taking taylor expansion of 2.0 in k 1.547 * [taylor]: Taking taylor expansion of 0 in k 1.555 * [taylor]: Taking taylor expansion of 0 in k 1.570 * [taylor]: Taking taylor expansion of 0 in k 1.596 * [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 1.596 * [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 1.596 * [taylor]: Taking taylor expansion of 1.0 in k 1.596 * [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 1.596 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.596 * [taylor]: Taking taylor expansion of k in k 1.596 * [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 1.597 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.597 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.597 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.597 * [taylor]: Taking taylor expansion of 0.5 in k 1.597 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.597 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.597 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in k 1.597 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.597 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.597 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.597 * [taylor]: Taking taylor expansion of 2.0 in k 1.597 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.597 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.597 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [taylor]: Taking taylor expansion of (log PI) in k 1.597 * [taylor]: Taking taylor expansion of PI in k 1.597 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.597 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.597 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.597 * [taylor]: Taking taylor expansion of 1.0 in k 1.597 * [taylor]: Taking taylor expansion of (log n) in k 1.597 * [taylor]: Taking taylor expansion of n in k 1.598 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in k 1.598 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in k 1.598 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in k 1.598 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in k 1.598 * [taylor]: Taking taylor expansion of (/ 0.5 k) in k 1.598 * [taylor]: Taking taylor expansion of 0.5 in k 1.598 * [taylor]: Taking taylor expansion of k in k 1.598 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 1.598 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 1.598 * [taylor]: Taking taylor expansion of 2.0 in k 1.598 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.598 * [taylor]: Taking taylor expansion of PI in k 1.598 * [taylor]: Taking taylor expansion of n in k 1.599 * [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 1.599 * [taylor]: Taking taylor expansion of 1.0 in n 1.599 * [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 1.599 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.599 * [taylor]: Taking taylor expansion of k in n 1.599 * [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 1.599 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.599 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.599 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.599 * [taylor]: Taking taylor expansion of 0.5 in n 1.599 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.599 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.599 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.599 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.599 * [taylor]: Taking taylor expansion of 1.0 in n 1.599 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.599 * [taylor]: Taking taylor expansion of 2.0 in n 1.599 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.599 * [taylor]: Taking taylor expansion of 1.0 in n 1.599 * [taylor]: Taking taylor expansion of (log PI) in n 1.599 * [taylor]: Taking taylor expansion of PI in n 1.599 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.599 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.599 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.599 * [taylor]: Taking taylor expansion of 1.0 in n 1.599 * [taylor]: Taking taylor expansion of (log n) in n 1.599 * [taylor]: Taking taylor expansion of n in n 1.600 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.600 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.600 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.600 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.600 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.600 * [taylor]: Taking taylor expansion of 0.5 in n 1.600 * [taylor]: Taking taylor expansion of k in n 1.600 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.600 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.600 * [taylor]: Taking taylor expansion of 2.0 in n 1.600 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.600 * [taylor]: Taking taylor expansion of PI in n 1.600 * [taylor]: Taking taylor expansion of n in n 1.601 * [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 1.601 * [taylor]: Taking taylor expansion of 1.0 in n 1.601 * [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 1.601 * [taylor]: Taking taylor expansion of (sqrt k) in n 1.601 * [taylor]: Taking taylor expansion of k in n 1.601 * [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 1.601 * [taylor]: Taking taylor expansion of (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.601 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.601 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.601 * [taylor]: Taking taylor expansion of 0.5 in n 1.601 * [taylor]: Taking taylor expansion of (log (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.601 * [taylor]: Taking taylor expansion of (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.601 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (pow PI 1.0)) in n 1.601 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 1.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 1.601 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 1.601 * [taylor]: Taking taylor expansion of 1.0 in n 1.601 * [taylor]: Taking taylor expansion of (log 2.0) in n 1.601 * [taylor]: Taking taylor expansion of 2.0 in n 1.601 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.601 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.601 * [taylor]: Taking taylor expansion of 1.0 in n 1.601 * [taylor]: Taking taylor expansion of (log PI) in n 1.601 * [taylor]: Taking taylor expansion of PI in n 1.601 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.601 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.601 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.601 * [taylor]: Taking taylor expansion of 1.0 in n 1.601 * [taylor]: Taking taylor expansion of (log n) in n 1.601 * [taylor]: Taking taylor expansion of n in n 1.602 * [taylor]: Taking taylor expansion of (/ 1 (pow (* 2.0 (/ PI n)) (/ 0.5 k))) in n 1.602 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (/ 0.5 k)) in n 1.602 * [taylor]: Taking taylor expansion of (exp (* (/ 0.5 k) (log (* 2.0 (/ PI n))))) in n 1.602 * [taylor]: Taking taylor expansion of (* (/ 0.5 k) (log (* 2.0 (/ PI n)))) in n 1.602 * [taylor]: Taking taylor expansion of (/ 0.5 k) in n 1.602 * [taylor]: Taking taylor expansion of 0.5 in n 1.602 * [taylor]: Taking taylor expansion of k in n 1.602 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 1.603 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.603 * [taylor]: Taking taylor expansion of 2.0 in n 1.603 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.603 * [taylor]: Taking taylor expansion of PI in n 1.603 * [taylor]: Taking taylor expansion of n in n 1.604 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)))) in k 1.604 * [taylor]: Taking taylor expansion of 1.0 in k 1.604 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.604 * [taylor]: Taking taylor expansion of (sqrt k) in k 1.604 * [taylor]: Taking taylor expansion of k in k 1.604 * [taylor]: Taking taylor expansion of (* (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.604 * [taylor]: Taking taylor expansion of (/ 1 (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)))) in k 1.604 * [taylor]: Taking taylor expansion of (exp (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k))) in k 1.604 * [taylor]: Taking taylor expansion of (* 0.5 (/ (- (log (* 2.0 PI)) (log n)) k)) in k 1.604 * [taylor]: Taking taylor expansion of 0.5 in k 1.604 * [taylor]: Taking taylor expansion of (/ (- (log (* 2.0 PI)) (log n)) k) in k 1.604 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 1.604 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 1.604 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 1.604 * [taylor]: Taking taylor expansion of 2.0 in k 1.604 * [taylor]: Taking taylor expansion of PI in k 1.604 * [taylor]: Taking taylor expansion of (log n) in k 1.604 * [taylor]: Taking taylor expansion of n in k 1.604 * [taylor]: Taking taylor expansion of k in k 1.605 * [taylor]: Taking taylor expansion of (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.605 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.605 * [taylor]: Taking taylor expansion of 0.5 in k 1.605 * [taylor]: Taking taylor expansion of (log (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.605 * [taylor]: Taking taylor expansion of (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.605 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (pow 2.0 1.0)) in k 1.605 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.605 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of (log PI) in k 1.605 * [taylor]: Taking taylor expansion of PI in k 1.605 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in k 1.605 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of (log 2.0) in k 1.605 * [taylor]: Taking taylor expansion of 2.0 in k 1.605 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.605 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.605 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.605 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.605 * [taylor]: Taking taylor expansion of 1.0 in k 1.605 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.605 * [taylor]: Taking taylor expansion of (log 1) in k 1.605 * [taylor]: Taking taylor expansion of 1 in k 1.605 * [taylor]: Taking taylor expansion of (log n) in k 1.605 * [taylor]: Taking taylor expansion of n in k 1.610 * [taylor]: Taking taylor expansion of 0 in k 1.618 * [taylor]: Taking taylor expansion of 0 in k 1.629 * [taylor]: Taking taylor expansion of 0 in k 1.639 * [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 1.639 * [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 1.639 * [taylor]: Taking taylor expansion of 1.0 in k 1.639 * [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 1.639 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in k 1.639 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in k 1.639 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.639 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.639 * [taylor]: Taking taylor expansion of -1 in k 1.639 * [taylor]: Taking taylor expansion of k in k 1.639 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in k 1.639 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in k 1.639 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in k 1.639 * [taylor]: Taking taylor expansion of (/ -0.5 k) in k 1.639 * [taylor]: Taking taylor expansion of -0.5 in k 1.639 * [taylor]: Taking taylor expansion of k in k 1.639 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 1.639 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 1.639 * [taylor]: Taking taylor expansion of -2.0 in k 1.639 * [taylor]: Taking taylor expansion of (/ PI n) in k 1.639 * [taylor]: Taking taylor expansion of PI in k 1.639 * [taylor]: Taking taylor expansion of n in k 1.640 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in k 1.640 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in k 1.640 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in k 1.640 * [taylor]: Taking taylor expansion of 0.5 in k 1.640 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in k 1.640 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in k 1.640 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.640 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.640 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.640 * [taylor]: Taking taylor expansion of 1.0 in k 1.640 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.640 * [taylor]: Taking taylor expansion of -2.0 in k 1.640 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.640 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.640 * [taylor]: Taking taylor expansion of 1.0 in k 1.640 * [taylor]: Taking taylor expansion of (log PI) in k 1.640 * [taylor]: Taking taylor expansion of PI in k 1.640 * [taylor]: Taking taylor expansion of (pow n 1.0) in k 1.640 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in k 1.640 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in k 1.640 * [taylor]: Taking taylor expansion of 1.0 in k 1.640 * [taylor]: Taking taylor expansion of (log n) in k 1.640 * [taylor]: Taking taylor expansion of n in k 1.641 * [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 1.641 * [taylor]: Taking taylor expansion of 1.0 in n 1.641 * [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 1.641 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.641 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.641 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.641 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.641 * [taylor]: Taking taylor expansion of -1 in n 1.641 * [taylor]: Taking taylor expansion of k in n 1.641 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.641 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.641 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.641 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.641 * [taylor]: Taking taylor expansion of -0.5 in n 1.641 * [taylor]: Taking taylor expansion of k in n 1.641 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.641 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.641 * [taylor]: Taking taylor expansion of -2.0 in n 1.641 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.641 * [taylor]: Taking taylor expansion of PI in n 1.642 * [taylor]: Taking taylor expansion of n in n 1.642 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.642 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.642 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.642 * [taylor]: Taking taylor expansion of 0.5 in n 1.642 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.642 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.642 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.642 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.642 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.642 * [taylor]: Taking taylor expansion of 1.0 in n 1.642 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.642 * [taylor]: Taking taylor expansion of -2.0 in n 1.642 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.642 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.642 * [taylor]: Taking taylor expansion of 1.0 in n 1.642 * [taylor]: Taking taylor expansion of (log PI) in n 1.642 * [taylor]: Taking taylor expansion of PI in n 1.642 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.642 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.642 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.642 * [taylor]: Taking taylor expansion of 1.0 in n 1.642 * [taylor]: Taking taylor expansion of (log n) in n 1.642 * [taylor]: Taking taylor expansion of n in n 1.643 * [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 1.643 * [taylor]: Taking taylor expansion of 1.0 in n 1.643 * [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 1.643 * [taylor]: Taking taylor expansion of (/ 1 (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k)))) in n 1.643 * [taylor]: Taking taylor expansion of (* (sqrt (/ -1 k)) (pow (* -2.0 (/ PI n)) (/ -0.5 k))) in n 1.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 1.643 * [taylor]: Taking taylor expansion of (/ -1 k) in n 1.644 * [taylor]: Taking taylor expansion of -1 in n 1.644 * [taylor]: Taking taylor expansion of k in n 1.644 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (/ -0.5 k)) in n 1.644 * [taylor]: Taking taylor expansion of (exp (* (/ -0.5 k) (log (* -2.0 (/ PI n))))) in n 1.644 * [taylor]: Taking taylor expansion of (* (/ -0.5 k) (log (* -2.0 (/ PI n)))) in n 1.644 * [taylor]: Taking taylor expansion of (/ -0.5 k) in n 1.644 * [taylor]: Taking taylor expansion of -0.5 in n 1.644 * [taylor]: Taking taylor expansion of k in n 1.644 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 1.644 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.644 * [taylor]: Taking taylor expansion of -2.0 in n 1.644 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.644 * [taylor]: Taking taylor expansion of PI in n 1.644 * [taylor]: Taking taylor expansion of n in n 1.644 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) 0.5) in n 1.644 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))))) in n 1.644 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)))) in n 1.644 * [taylor]: Taking taylor expansion of 0.5 in n 1.644 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0))) in n 1.644 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow n 1.0)) in n 1.644 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in n 1.644 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in n 1.644 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in n 1.644 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in n 1.644 * [taylor]: Taking taylor expansion of 1.0 in n 1.644 * [taylor]: Taking taylor expansion of (log -2.0) in n 1.645 * [taylor]: Taking taylor expansion of -2.0 in n 1.645 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 1.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 1.645 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 1.645 * [taylor]: Taking taylor expansion of 1.0 in n 1.645 * [taylor]: Taking taylor expansion of (log PI) in n 1.645 * [taylor]: Taking taylor expansion of PI in n 1.645 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 1.645 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 1.645 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 1.645 * [taylor]: Taking taylor expansion of 1.0 in n 1.645 * [taylor]: Taking taylor expansion of (log n) in n 1.645 * [taylor]: Taking taylor expansion of n in n 1.646 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5))) in k 1.646 * [taylor]: Taking taylor expansion of 1.0 in k 1.646 * [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 (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5)) in k 1.647 * [taylor]: Taking taylor expansion of (/ 1 (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k 1.647 * [taylor]: Taking taylor expansion of (* (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) (sqrt (/ -1 k))) in k 1.647 * [taylor]: Taking taylor expansion of (exp (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k))) in k 1.647 * [taylor]: Taking taylor expansion of (* -0.5 (/ (- (log (* -2.0 PI)) (log n)) k)) in k 1.647 * [taylor]: Taking taylor expansion of -0.5 in k 1.647 * [taylor]: Taking taylor expansion of (/ (- (log (* -2.0 PI)) (log n)) k) in k 1.647 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 1.647 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 1.647 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 1.647 * [taylor]: Taking taylor expansion of -2.0 in k 1.647 * [taylor]: Taking taylor expansion of PI in k 1.647 * [taylor]: Taking taylor expansion of (log n) in k 1.647 * [taylor]: Taking taylor expansion of n in k 1.647 * [taylor]: Taking taylor expansion of k in k 1.647 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 1.647 * [taylor]: Taking taylor expansion of (/ -1 k) in k 1.647 * [taylor]: Taking taylor expansion of -1 in k 1.647 * [taylor]: Taking taylor expansion of k in k 1.647 * [taylor]: Taking taylor expansion of (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) 0.5) in k 1.647 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))))) in k 1.647 * [taylor]: Taking taylor expansion of (* 0.5 (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)))) in k 1.647 * [taylor]: Taking taylor expansion of 0.5 in k 1.647 * [taylor]: Taking taylor expansion of (log (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0))) in k 1.647 * [taylor]: Taking taylor expansion of (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0)) in k 1.647 * [taylor]: Taking taylor expansion of (* (pow -2.0 1.0) (pow PI 1.0)) in k 1.648 * [taylor]: Taking taylor expansion of (pow -2.0 1.0) in k 1.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log -2.0))) in k 1.648 * [taylor]: Taking taylor expansion of (* 1.0 (log -2.0)) in k 1.648 * [taylor]: Taking taylor expansion of 1.0 in k 1.648 * [taylor]: Taking taylor expansion of (log -2.0) in k 1.648 * [taylor]: Taking taylor expansion of -2.0 in k 1.648 * [taylor]: Taking taylor expansion of (pow PI 1.0) in k 1.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in k 1.648 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in k 1.648 * [taylor]: Taking taylor expansion of 1.0 in k 1.648 * [taylor]: Taking taylor expansion of (log PI) in k 1.648 * [taylor]: Taking taylor expansion of PI in k 1.648 * [taylor]: Taking taylor expansion of (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) in k 1.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n))))))) in k 1.648 * [taylor]: Taking taylor expansion of (* 1.0 (log (exp (* 1.0 (+ (log 1) (log n)))))) in k 1.648 * [taylor]: Taking taylor expansion of 1.0 in k 1.648 * [taylor]: Taking taylor expansion of (log (exp (* 1.0 (+ (log 1) (log n))))) in k 1.648 * [taylor]: Taking taylor expansion of (exp (* 1.0 (+ (log 1) (log n)))) in k 1.648 * [taylor]: Taking taylor expansion of (* 1.0 (+ (log 1) (log n))) in k 1.648 * [taylor]: Taking taylor expansion of 1.0 in k 1.648 * [taylor]: Taking taylor expansion of (+ (log 1) (log n)) in k 1.648 * [taylor]: Taking taylor expansion of (log 1) in k 1.648 * [taylor]: Taking taylor expansion of 1 in k 1.648 * [taylor]: Taking taylor expansion of (log n) in k 1.648 * [taylor]: Taking taylor expansion of n in k 1.653 * [taylor]: Taking taylor expansion of 0 in k 1.662 * [taylor]: Taking taylor expansion of 0 in k 1.674 * [taylor]: Taking taylor expansion of 0 in k 1.675 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 1.676 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.676 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.676 * [taylor]: Taking taylor expansion of 2.0 in n 1.676 * [taylor]: Taking taylor expansion of (* n PI) in n 1.676 * [taylor]: Taking taylor expansion of n in n 1.676 * [taylor]: Taking taylor expansion of PI in n 1.676 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.676 * [taylor]: Taking taylor expansion of 2.0 in n 1.676 * [taylor]: Taking taylor expansion of (* n PI) in n 1.676 * [taylor]: Taking taylor expansion of n in n 1.676 * [taylor]: Taking taylor expansion of PI in n 1.677 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.677 * [taylor]: Taking taylor expansion of 2.0 in n 1.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.677 * [taylor]: Taking taylor expansion of 2.0 in n 1.677 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.677 * [taylor]: Taking taylor expansion of PI in n 1.677 * [taylor]: Taking taylor expansion of n in n 1.678 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.678 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of -2.0 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.678 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.678 * [taylor]: Taking taylor expansion of -2.0 in n 1.678 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.678 * [taylor]: Taking taylor expansion of PI in n 1.678 * [taylor]: Taking taylor expansion of n in n 1.679 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 1.679 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 1.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.679 * [taylor]: Taking taylor expansion of 2.0 in n 1.679 * [taylor]: Taking taylor expansion of (* n PI) in n 1.679 * [taylor]: Taking taylor expansion of n in n 1.679 * [taylor]: Taking taylor expansion of PI in n 1.679 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 1.679 * [taylor]: Taking taylor expansion of 2.0 in n 1.679 * [taylor]: Taking taylor expansion of (* n PI) in n 1.679 * [taylor]: Taking taylor expansion of n in n 1.679 * [taylor]: Taking taylor expansion of PI in n 1.680 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 1.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.680 * [taylor]: Taking taylor expansion of 2.0 in n 1.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.680 * [taylor]: Taking taylor expansion of PI in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.680 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 1.680 * [taylor]: Taking taylor expansion of 2.0 in n 1.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.680 * [taylor]: Taking taylor expansion of PI in n 1.680 * [taylor]: Taking taylor expansion of n in n 1.681 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 1.681 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.681 * [taylor]: Taking taylor expansion of -2.0 in n 1.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.681 * [taylor]: Taking taylor expansion of PI in n 1.681 * [taylor]: Taking taylor expansion of n in n 1.681 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 1.681 * [taylor]: Taking taylor expansion of -2.0 in n 1.681 * [taylor]: Taking taylor expansion of (/ PI n) in n 1.681 * [taylor]: Taking taylor expansion of PI in n 1.681 * [taylor]: Taking taylor expansion of n in n 1.682 * * * [progress]: simplifying candidates 1.684 * [simplify]: Simplifying using # : (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (* 1 (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 PI) (/ 1.0 2.0)) (pow n (/ 1.0 2.0)) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (exp (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2)) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (+ (log (* 2.0 PI)) (log n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (+ (log 1.0) (log (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (+ (log (* 2.0 PI)) (log n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (* (log (* (* 2.0 PI) n)) (/ k 2.0)))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (+ (log (sqrt k)) (log (pow (* (* 2.0 PI) n) (/ k 2.0))))) (- (log (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (log (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 1.0) 1.0) (* (* (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (/ (* (* (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (* (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* (sqrt k) (pow (* 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2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (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))))) (- (+ (* 0.125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 0.25 (* (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5))) (+ (* 1.0 (* 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PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (+ (* 1.0 (* (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))))) (+ (* 1.0 (* (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5))) (* 1.0 (* (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)) (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 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)) 1.693 * * [simplify]: iteration 0 : 939 enodes (cost 1410 ) 1.707 * * [simplify]: iteration 1 : 4081 enodes (cost 1188 ) 1.774 * * [simplify]: iteration 2 : 5002 enodes (cost 1188 ) 1.780 * [simplify]: Simplified to: (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (* (log (* (* 2.0 PI) n)) (/ 1.0 2.0)) (/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) (pow (* (* 2.0 PI) n) (* (cbrt (/ 1.0 2.0)) (cbrt (/ 1.0 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ 1.0 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt 1.0) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (pow (* (* 2.0 PI) n) 1.0) (pow (* 2.0 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2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (log (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (exp (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (* (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))))) (cbrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (pow (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) 3) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (sqrt (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))) (neg (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (neg (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ 1.0 (sqrt k)) (/ (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0))) (/ 1 (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0)))) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (sqrt k)) (/ (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* (* 2.0 PI) n) 3) (pow (* (* 2.0 PI) n) 1/2) (pow (* (* 2.0 PI) n) 1/2) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (pow (* (* 2.0 PI) n) 0.5) (pow (* (* 2.0 PI) n) 0.5) (exp (* 0.5 (- (log (* -2.0 PI)) (log (/ -1 n))))) (- (- (+ (+ (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.125 (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN))) (* 1.0 (* k (pow NAN 3))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.25 (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n))))) (* 1.0 (* (pow k 2) (pow NAN 5)))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 1.0 NAN) (* 0.125 (* (pow k 2) (* NAN (pow (log n) 2))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* NAN (log n)))) (* 0.5 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))))))) (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (+ (* 0.5 (* k (* (log (* 2.0 PI)) NAN))) (* 0.5 (* (pow k 2) (* (pow NAN 3) (log n))))))) (+ (* 1.0 (* (/ NAN (* k (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))) (pow (/ (* (pow PI 1.0) (pow 2.0 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5))) (* (pow (/ (* (pow 2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ 1 n))))) 1.0)) 0.5) (+ (* 1.0 (/ (pow NAN 5) (* (pow k 3) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k)))))) (* 1.0 (/ (pow NAN 3) (* (pow k 2) (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) k))))))))) (* (* (pow (/ (* (pow -2.0 1.0) (pow PI 1.0)) (pow (exp (* 1.0 (+ (log 1) (log (/ -1 n))))) 1.0)) 0.5) (+ (/ NAN (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (/ 1 (* (exp (* 0.5 (* k (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN)))) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) 1.781 * * * [progress]: adding candidates to table 2.271 * * [progress]: iteration 3 / 4 2.271 * * * [progress]: picking best candidate 2.302 * * * * [pick]: Picked # 2.302 * * * [progress]: localizing error 2.322 * * * [progress]: generating rewritten candidates 2.322 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 2.326 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.330 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 2.335 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.356 * * * [progress]: generating series expansions 2.356 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 2.356 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.356 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.356 * [taylor]: Taking taylor expansion of 1.0 in k 2.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.356 * [taylor]: Taking taylor expansion of k in k 2.356 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.356 * [taylor]: Taking taylor expansion of 1.0 in k 2.356 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.356 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.356 * [taylor]: Taking taylor expansion of k in k 2.358 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.358 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.358 * [taylor]: Taking taylor expansion of 1.0 in k 2.358 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.358 * [taylor]: Taking taylor expansion of k in k 2.358 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.358 * [taylor]: Taking taylor expansion of 1.0 in k 2.358 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.358 * [taylor]: Taking taylor expansion of k in k 2.359 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.359 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.359 * [taylor]: Taking taylor expansion of 1.0 in k 2.359 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.359 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.359 * [taylor]: Taking taylor expansion of -1 in k 2.359 * [taylor]: Taking taylor expansion of k in k 2.359 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.359 * [taylor]: Taking taylor expansion of 1.0 in k 2.359 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.359 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.359 * [taylor]: Taking taylor expansion of -1 in k 2.359 * [taylor]: Taking taylor expansion of k in k 2.364 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.364 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.364 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.364 * [taylor]: Taking taylor expansion of 1.0 in k 2.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.364 * [taylor]: Taking taylor expansion of k in k 2.364 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.364 * [taylor]: Taking taylor expansion of 1.0 in k 2.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.364 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.364 * [taylor]: Taking taylor expansion of k in k 2.365 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.365 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.365 * [taylor]: Taking taylor expansion of 1.0 in k 2.365 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.365 * [taylor]: Taking taylor expansion of k in k 2.365 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.365 * [taylor]: Taking taylor expansion of 1.0 in k 2.365 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.365 * [taylor]: Taking taylor expansion of k in k 2.366 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.366 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.366 * [taylor]: Taking taylor expansion of 1.0 in k 2.366 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.366 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.366 * [taylor]: Taking taylor expansion of -1 in k 2.366 * [taylor]: Taking taylor expansion of k in k 2.366 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.366 * [taylor]: Taking taylor expansion of 1.0 in k 2.366 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.366 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.366 * [taylor]: Taking taylor expansion of -1 in k 2.366 * [taylor]: Taking taylor expansion of k in k 2.371 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 2.371 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.371 * [taylor]: Taking taylor expansion of 2.0 in n 2.371 * [taylor]: Taking taylor expansion of (* n PI) in n 2.371 * [taylor]: Taking taylor expansion of n in n 2.371 * [taylor]: Taking taylor expansion of PI in n 2.371 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.371 * [taylor]: Taking taylor expansion of 2.0 in n 2.371 * [taylor]: Taking taylor expansion of (* n PI) in n 2.371 * [taylor]: Taking taylor expansion of n in n 2.371 * [taylor]: Taking taylor expansion of PI in n 2.372 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.372 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.372 * [taylor]: Taking taylor expansion of 2.0 in n 2.372 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.372 * [taylor]: Taking taylor expansion of PI in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.372 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.372 * [taylor]: Taking taylor expansion of 2.0 in n 2.372 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.372 * [taylor]: Taking taylor expansion of PI in n 2.372 * [taylor]: Taking taylor expansion of n in n 2.373 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.373 * [taylor]: Taking taylor expansion of -2.0 in n 2.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.373 * [taylor]: Taking taylor expansion of PI in n 2.373 * [taylor]: Taking taylor expansion of n in n 2.373 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.373 * [taylor]: Taking taylor expansion of -2.0 in n 2.373 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.373 * [taylor]: Taking taylor expansion of PI in n 2.373 * [taylor]: Taking taylor expansion of n in n 2.374 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.374 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in (k n) around 0 2.375 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in n 2.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.375 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.375 * [taylor]: Taking taylor expansion of k in n 2.375 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in n 2.375 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.375 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.375 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.375 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.375 * [taylor]: Taking taylor expansion of 0.5 in n 2.375 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of k in n 2.375 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.375 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.375 * [taylor]: Taking taylor expansion of 2.0 in n 2.375 * [taylor]: Taking taylor expansion of (* n PI) in n 2.375 * [taylor]: Taking taylor expansion of n in n 2.375 * [taylor]: Taking taylor expansion of PI in n 2.375 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.375 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.375 * [taylor]: Taking taylor expansion of 1.0 in n 2.375 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 2.375 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.375 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.375 * [taylor]: Taking taylor expansion of k in k 2.375 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 2.376 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.376 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.376 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.376 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.376 * [taylor]: Taking taylor expansion of 0.5 in k 2.376 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.376 * [taylor]: Taking taylor expansion of 1.0 in k 2.376 * [taylor]: Taking taylor expansion of k in k 2.376 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.376 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.376 * [taylor]: Taking taylor expansion of 2.0 in k 2.376 * [taylor]: Taking taylor expansion of (* n PI) in k 2.376 * [taylor]: Taking taylor expansion of n in k 2.376 * [taylor]: Taking taylor expansion of PI in k 2.376 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.376 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.376 * [taylor]: Taking taylor expansion of 1.0 in k 2.376 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2))) in k 2.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.376 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.376 * [taylor]: Taking taylor expansion of k in k 2.376 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (pow (sqrt 1.0) 2)) in k 2.376 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.376 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.376 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.376 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.376 * [taylor]: Taking taylor expansion of 0.5 in k 2.376 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.376 * [taylor]: Taking taylor expansion of 1.0 in k 2.376 * [taylor]: Taking taylor expansion of k in k 2.376 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.376 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.376 * [taylor]: Taking taylor expansion of 2.0 in k 2.376 * [taylor]: Taking taylor expansion of (* n PI) in k 2.376 * [taylor]: Taking taylor expansion of n in k 2.376 * [taylor]: Taking taylor expansion of PI in k 2.377 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.377 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.377 * [taylor]: Taking taylor expansion of 1.0 in k 2.377 * [taylor]: Taking taylor expansion of 0 in n 2.379 * [taylor]: Taking taylor expansion of (* (* NAN (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.379 * [taylor]: Taking taylor expansion of (* NAN (pow (sqrt 1.0) 2)) in n 2.379 * [taylor]: Taking taylor expansion of NAN in n 2.379 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.379 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.379 * [taylor]: Taking taylor expansion of 1.0 in n 2.379 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.379 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.379 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.379 * [taylor]: Taking taylor expansion of 0.5 in n 2.379 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.379 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.379 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.379 * [taylor]: Taking taylor expansion of 1.0 in n 2.379 * [taylor]: Taking taylor expansion of (log PI) in n 2.379 * [taylor]: Taking taylor expansion of PI in n 2.379 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.379 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.379 * [taylor]: Taking taylor expansion of 1.0 in n 2.379 * [taylor]: Taking taylor expansion of (log n) in n 2.379 * [taylor]: Taking taylor expansion of n in n 2.379 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.379 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.379 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.379 * [taylor]: Taking taylor expansion of 1.0 in n 2.379 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.379 * [taylor]: Taking taylor expansion of 2.0 in n 2.384 * [taylor]: Taking taylor expansion of (- (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow NAN 3) (pow (sqrt 1.0) 2))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.384 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow NAN 3) (pow (sqrt 1.0) 2))) in n 2.384 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.384 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.384 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.384 * [taylor]: Taking taylor expansion of 0.5 in n 2.384 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.384 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.384 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.384 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.384 * [taylor]: Taking taylor expansion of 1.0 in n 2.384 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.384 * [taylor]: Taking taylor expansion of 2.0 in n 2.384 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.384 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.384 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.384 * [taylor]: Taking taylor expansion of 1.0 in n 2.384 * [taylor]: Taking taylor expansion of (log n) in n 2.384 * [taylor]: Taking taylor expansion of n in n 2.384 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.384 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.384 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.384 * [taylor]: Taking taylor expansion of 1.0 in n 2.384 * [taylor]: Taking taylor expansion of (log PI) in n 2.384 * [taylor]: Taking taylor expansion of PI in n 2.385 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (sqrt 1.0) 2)) in n 2.385 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.385 * [taylor]: Taking taylor expansion of NAN in n 2.385 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.385 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.385 * [taylor]: Taking taylor expansion of 1.0 in n 2.385 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.385 * [taylor]: Taking taylor expansion of 0.5 in n 2.385 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.385 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (* NAN (pow (sqrt 1.0) 2))) in n 2.385 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.385 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.385 * [taylor]: Taking taylor expansion of 2.0 in n 2.385 * [taylor]: Taking taylor expansion of (* n PI) in n 2.385 * [taylor]: Taking taylor expansion of n in n 2.385 * [taylor]: Taking taylor expansion of PI in n 2.385 * [taylor]: Taking taylor expansion of (* NAN (pow (sqrt 1.0) 2)) in n 2.385 * [taylor]: Taking taylor expansion of NAN in n 2.385 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.386 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.386 * [taylor]: Taking taylor expansion of 1.0 in n 2.386 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.386 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.386 * [taylor]: Taking taylor expansion of 0.5 in n 2.386 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.386 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.386 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.386 * [taylor]: Taking taylor expansion of 1.0 in n 2.386 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.386 * [taylor]: Taking taylor expansion of 2.0 in n 2.386 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.386 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.386 * [taylor]: Taking taylor expansion of 1.0 in n 2.386 * [taylor]: Taking taylor expansion of (log n) in n 2.386 * [taylor]: Taking taylor expansion of n in n 2.386 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.386 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.386 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.386 * [taylor]: Taking taylor expansion of 1.0 in n 2.386 * [taylor]: Taking taylor expansion of (log PI) in n 2.386 * [taylor]: Taking taylor expansion of PI in n 2.397 * [taylor]: Taking taylor expansion of (- (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* (* (pow NAN 5) (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) (* 0.5 (* (* (log (* 2.0 (* n PI))) (* (pow NAN 3) (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) in n 2.397 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) (* (* (pow NAN 5) (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.397 * [taylor]: Taking taylor expansion of (* 0.125 (* (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.397 * [taylor]: Taking taylor expansion of 0.125 in n 2.397 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.397 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) (* NAN (pow (sqrt 1.0) 2))) in n 2.397 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.397 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.397 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.397 * [taylor]: Taking taylor expansion of 2.0 in n 2.397 * [taylor]: Taking taylor expansion of (* n PI) in n 2.397 * [taylor]: Taking taylor expansion of n in n 2.397 * [taylor]: Taking taylor expansion of PI in n 2.398 * [taylor]: Taking taylor expansion of (* NAN (pow (sqrt 1.0) 2)) in n 2.398 * [taylor]: Taking taylor expansion of NAN in n 2.398 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.398 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.398 * [taylor]: Taking taylor expansion of 1.0 in n 2.398 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.398 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.398 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.398 * [taylor]: Taking taylor expansion of 0.5 in n 2.398 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.398 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.398 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.398 * [taylor]: Taking taylor expansion of 1.0 in n 2.398 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.398 * [taylor]: Taking taylor expansion of 2.0 in n 2.398 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.398 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.398 * [taylor]: Taking taylor expansion of 1.0 in n 2.398 * [taylor]: Taking taylor expansion of (log n) in n 2.398 * [taylor]: Taking taylor expansion of n in n 2.398 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.398 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.398 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.398 * [taylor]: Taking taylor expansion of 1.0 in n 2.398 * [taylor]: Taking taylor expansion of (log PI) in n 2.398 * [taylor]: Taking taylor expansion of PI in n 2.399 * [taylor]: Taking taylor expansion of (* (* (pow NAN 5) (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.399 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (pow (sqrt 1.0) 2)) in n 2.399 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.399 * [taylor]: Taking taylor expansion of NAN in n 2.399 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.399 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.399 * [taylor]: Taking taylor expansion of 1.0 in n 2.399 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.399 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.399 * [taylor]: Taking taylor expansion of 0.5 in n 2.399 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.399 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.399 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.399 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.399 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.399 * [taylor]: Taking taylor expansion of 1.0 in n 2.400 * [taylor]: Taking taylor expansion of (log PI) in n 2.400 * [taylor]: Taking taylor expansion of PI in n 2.400 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.400 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.400 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.400 * [taylor]: Taking taylor expansion of 1.0 in n 2.400 * [taylor]: Taking taylor expansion of (log n) in n 2.400 * [taylor]: Taking taylor expansion of n in n 2.400 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.400 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.400 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.400 * [taylor]: Taking taylor expansion of 1.0 in n 2.400 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.400 * [taylor]: Taking taylor expansion of 2.0 in n 2.401 * [taylor]: Taking taylor expansion of (* 0.5 (* (* (log (* 2.0 (* n PI))) (* (pow NAN 3) (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) in n 2.401 * [taylor]: Taking taylor expansion of 0.5 in n 2.401 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (* (pow NAN 3) (pow (sqrt 1.0) 2))) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.401 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (* (pow NAN 3) (pow (sqrt 1.0) 2))) in n 2.401 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.401 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.401 * [taylor]: Taking taylor expansion of 2.0 in n 2.401 * [taylor]: Taking taylor expansion of (* n PI) in n 2.401 * [taylor]: Taking taylor expansion of n in n 2.401 * [taylor]: Taking taylor expansion of PI in n 2.401 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (pow (sqrt 1.0) 2)) in n 2.401 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.401 * [taylor]: Taking taylor expansion of NAN in n 2.401 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.401 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.401 * [taylor]: Taking taylor expansion of 1.0 in n 2.401 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.401 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.401 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.401 * [taylor]: Taking taylor expansion of 0.5 in n 2.401 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.401 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.401 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.401 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.401 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.401 * [taylor]: Taking taylor expansion of 1.0 in n 2.401 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.401 * [taylor]: Taking taylor expansion of 2.0 in n 2.401 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.402 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.402 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.402 * [taylor]: Taking taylor expansion of 1.0 in n 2.402 * [taylor]: Taking taylor expansion of (log n) in n 2.402 * [taylor]: Taking taylor expansion of n in n 2.402 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.402 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.402 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.402 * [taylor]: Taking taylor expansion of 1.0 in n 2.402 * [taylor]: Taking taylor expansion of (log PI) in n 2.402 * [taylor]: Taking taylor expansion of PI in n 2.422 * [approximate]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in (k n) around 0 2.422 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in n 2.422 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.422 * [taylor]: Taking taylor expansion of k in n 2.422 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in n 2.422 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.422 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.422 * [taylor]: Taking taylor expansion of 1.0 in n 2.422 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.423 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.423 * [taylor]: Taking taylor expansion of 0.5 in n 2.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.423 * [taylor]: Taking taylor expansion of 1.0 in n 2.423 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.423 * [taylor]: Taking taylor expansion of k in n 2.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.423 * [taylor]: Taking taylor expansion of 2.0 in n 2.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.423 * [taylor]: Taking taylor expansion of PI in n 2.423 * [taylor]: Taking taylor expansion of n in n 2.423 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.423 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.423 * [taylor]: Taking taylor expansion of k in k 2.423 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.423 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.423 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.423 * [taylor]: Taking taylor expansion of 1.0 in k 2.423 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.423 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.423 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.423 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.423 * [taylor]: Taking taylor expansion of 0.5 in k 2.423 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.423 * [taylor]: Taking taylor expansion of 1.0 in k 2.423 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.423 * [taylor]: Taking taylor expansion of k in k 2.423 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.424 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.424 * [taylor]: Taking taylor expansion of 2.0 in k 2.424 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.424 * [taylor]: Taking taylor expansion of PI in k 2.424 * [taylor]: Taking taylor expansion of n in k 2.424 * [taylor]: Taking taylor expansion of (* (sqrt k) (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))))) in k 2.424 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.424 * [taylor]: Taking taylor expansion of k in k 2.424 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k))))) in k 2.424 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.424 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.424 * [taylor]: Taking taylor expansion of 1.0 in k 2.424 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.424 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.424 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.424 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.424 * [taylor]: Taking taylor expansion of 0.5 in k 2.424 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.424 * [taylor]: Taking taylor expansion of 1.0 in k 2.424 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.424 * [taylor]: Taking taylor expansion of k in k 2.424 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.424 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.424 * [taylor]: Taking taylor expansion of 2.0 in k 2.424 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.424 * [taylor]: Taking taylor expansion of PI in k 2.424 * [taylor]: Taking taylor expansion of n in k 2.425 * [taylor]: Taking taylor expansion of 0 in n 2.425 * [taylor]: Taking taylor expansion of (* NAN (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.425 * [taylor]: Taking taylor expansion of NAN in n 2.425 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.425 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.425 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.425 * [taylor]: Taking taylor expansion of 1.0 in n 2.425 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.425 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.425 * [taylor]: Taking taylor expansion of 0.5 in n 2.425 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.425 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.425 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.426 * [taylor]: Taking taylor expansion of 2.0 in n 2.426 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.426 * [taylor]: Taking taylor expansion of PI in n 2.426 * [taylor]: Taking taylor expansion of n in n 2.426 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.426 * [taylor]: Taking taylor expansion of 1.0 in n 2.426 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.426 * [taylor]: Taking taylor expansion of k in n 2.427 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.427 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 2.427 * [taylor]: Taking taylor expansion of NAN in n 2.427 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.427 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.427 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.427 * [taylor]: Taking taylor expansion of 1.0 in n 2.427 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.427 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.427 * [taylor]: Taking taylor expansion of 0.5 in n 2.427 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.427 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.427 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.427 * [taylor]: Taking taylor expansion of 2.0 in n 2.427 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.427 * [taylor]: Taking taylor expansion of PI in n 2.427 * [taylor]: Taking taylor expansion of n in n 2.427 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.428 * [taylor]: Taking taylor expansion of 1.0 in n 2.428 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.428 * [taylor]: Taking taylor expansion of k in n 2.430 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 2.430 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 2.430 * [taylor]: Taking taylor expansion of NAN in n 2.430 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 2.430 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.430 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.430 * [taylor]: Taking taylor expansion of 1.0 in n 2.430 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 2.431 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 2.431 * [taylor]: Taking taylor expansion of 0.5 in n 2.431 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 2.431 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.431 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.431 * [taylor]: Taking taylor expansion of 2.0 in n 2.431 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.431 * [taylor]: Taking taylor expansion of PI in n 2.431 * [taylor]: Taking taylor expansion of n in n 2.431 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.431 * [taylor]: Taking taylor expansion of 1.0 in n 2.431 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.431 * [taylor]: Taking taylor expansion of k in n 2.433 * [approximate]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in (k n) around 0 2.433 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in n 2.433 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in n 2.433 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.433 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.433 * [taylor]: Taking taylor expansion of 1.0 in n 2.433 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.433 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.433 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.433 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.433 * [taylor]: Taking taylor expansion of 0.5 in n 2.433 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.433 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.433 * [taylor]: Taking taylor expansion of k in n 2.433 * [taylor]: Taking taylor expansion of 1.0 in n 2.433 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.433 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.433 * [taylor]: Taking taylor expansion of -2.0 in n 2.433 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.433 * [taylor]: Taking taylor expansion of PI in n 2.433 * [taylor]: Taking taylor expansion of n in n 2.434 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.434 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.434 * [taylor]: Taking taylor expansion of -1 in n 2.434 * [taylor]: Taking taylor expansion of k in n 2.434 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.434 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.434 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.434 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.434 * [taylor]: Taking taylor expansion of 1.0 in k 2.434 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.434 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.434 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.434 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.434 * [taylor]: Taking taylor expansion of 0.5 in k 2.434 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.434 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.434 * [taylor]: Taking taylor expansion of k in k 2.434 * [taylor]: Taking taylor expansion of 1.0 in k 2.435 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.435 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.435 * [taylor]: Taking taylor expansion of -2.0 in k 2.435 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.435 * [taylor]: Taking taylor expansion of PI in k 2.435 * [taylor]: Taking taylor expansion of n in k 2.435 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.435 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.435 * [taylor]: Taking taylor expansion of -1 in k 2.435 * [taylor]: Taking taylor expansion of k in k 2.435 * [taylor]: Taking taylor expansion of (/ (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) in k 2.435 * [taylor]: Taking taylor expansion of (* (pow (sqrt 1.0) 2) (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0)))) in k 2.435 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in k 2.435 * [taylor]: Taking taylor expansion of (sqrt 1.0) in k 2.435 * [taylor]: Taking taylor expansion of 1.0 in k 2.435 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.435 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.435 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.435 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.435 * [taylor]: Taking taylor expansion of 0.5 in k 2.435 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.435 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.435 * [taylor]: Taking taylor expansion of k in k 2.436 * [taylor]: Taking taylor expansion of 1.0 in k 2.436 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.436 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.436 * [taylor]: Taking taylor expansion of -2.0 in k 2.436 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.436 * [taylor]: Taking taylor expansion of PI in k 2.436 * [taylor]: Taking taylor expansion of n in k 2.436 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.436 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.436 * [taylor]: Taking taylor expansion of -1 in k 2.436 * [taylor]: Taking taylor expansion of k in k 2.436 * [taylor]: Taking taylor expansion of (/ (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) NAN) in n 2.436 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (pow (sqrt 1.0) 2)) in n 2.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.436 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.436 * [taylor]: Taking taylor expansion of 0.5 in n 2.436 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.436 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.436 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.436 * [taylor]: Taking taylor expansion of k in n 2.436 * [taylor]: Taking taylor expansion of 1.0 in n 2.436 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.437 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.437 * [taylor]: Taking taylor expansion of -2.0 in n 2.437 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.437 * [taylor]: Taking taylor expansion of PI in n 2.437 * [taylor]: Taking taylor expansion of n in n 2.437 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.437 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.437 * [taylor]: Taking taylor expansion of 1.0 in n 2.437 * [taylor]: Taking taylor expansion of NAN in n 2.438 * [taylor]: Taking taylor expansion of (neg (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (* NAN (pow (sqrt 1.0) 2)))) in n 2.438 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) (* NAN (pow (sqrt 1.0) 2))) in n 2.438 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 2.438 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 2.438 * [taylor]: Taking taylor expansion of 0.5 in n 2.438 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 2.438 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.438 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.438 * [taylor]: Taking taylor expansion of k in n 2.438 * [taylor]: Taking taylor expansion of 1.0 in n 2.438 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.438 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.438 * [taylor]: Taking taylor expansion of -2.0 in n 2.438 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.438 * [taylor]: Taking taylor expansion of PI in n 2.438 * [taylor]: Taking taylor expansion of n in n 2.439 * [taylor]: Taking taylor expansion of (* NAN (pow (sqrt 1.0) 2)) in n 2.439 * [taylor]: Taking taylor expansion of NAN in n 2.439 * [taylor]: Taking taylor expansion of (pow (sqrt 1.0) 2) in n 2.439 * [taylor]: Taking taylor expansion of (sqrt 1.0) in n 2.439 * [taylor]: Taking taylor expansion of 1.0 in n 2.441 * [taylor]: Taking taylor expansion of 0 in n 2.444 * [taylor]: Taking taylor expansion of 0 in n 2.445 * * * [progress]: simplifying candidates 2.447 * [simplify]: Simplifying using # : (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (+ (log (sqrt (/ 1.0 (sqrt k)))) (log (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (log (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (exp (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k)))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 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(sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (cbrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (cbrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt (cbrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ (sqrt 1.0) (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (cbrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt (cbrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1 (sqrt k))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (sqrt 1.0) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (* (sqrt 1.0) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (+ (- (- (+ (+ (+ (* (* NAN (pow (sqrt 1.0) 2)) (pow (* (pow PI 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow 2.0 1.0))) 0.5)) (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5) (* NAN (* (pow (sqrt 1.0) 2) (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* k (* (pow NAN 3) (pow (sqrt 1.0) 2))) (* (pow k 2) (* (pow NAN 5) (pow (sqrt 1.0) 2)))))) (* 0.125 (* (* (pow (sqrt 1.0) 2) (* NAN (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5)))) (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.5) (+ (* 0.5 (* (pow (sqrt 1.0) 2) (* NAN (* (log (* 2.0 PI)) k)))) (* 0.5 (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (* (log (* 2.0 PI)) (pow k 2)))))))) (* (* 0.5 (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5)) (+ (* (pow (sqrt 1.0) 2) (* (pow NAN 3) (* (pow k 2) (log n)))) (* (pow (sqrt 1.0) 2) (* k (* NAN (log n))))))) (* (* (* 0.125 (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.5)) 1.0) (* NAN (* (pow k 2) (pow (log n) 2))))) (+ (+ (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (* NAN (pow (sqrt 1.0) 2))) k) (* (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 3)) k) (/ 1.0 k))) (* (/ (* (exp (* 0.5 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k)))) (pow NAN 5)) (pow k 2)) (/ 1.0 k))) (+ (/ (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) NAN) (/ (* NAN (* (pow (sqrt 1.0) 2) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))))) k)) 2.541 * * * [progress]: adding candidates to table 3.792 * * [progress]: iteration 4 / 4 3.792 * * * [progress]: picking best candidate 3.823 * * * * [pick]: Picked # 3.823 * * * [progress]: localizing error 3.842 * * * [progress]: generating rewritten candidates 3.843 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.854 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 3.858 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 3.863 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1) 3.873 * * * [progress]: generating series expansions 3.873 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.873 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in (k n) around 0 3.873 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in n 3.873 * [taylor]: Taking taylor expansion of 1.0 in n 3.873 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in n 3.873 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 3.873 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.873 * [taylor]: Taking taylor expansion of k in n 3.873 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in n 3.873 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 3.873 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 3.873 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in n 3.873 * [taylor]: Taking taylor expansion of 0.25 in n 3.873 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 3.873 * [taylor]: Taking taylor expansion of 1.0 in n 3.873 * [taylor]: Taking taylor expansion of k in n 3.873 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.873 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.873 * [taylor]: Taking taylor expansion of 2.0 in n 3.873 * [taylor]: Taking taylor expansion of (* n PI) in n 3.873 * [taylor]: Taking taylor expansion of n in n 3.873 * [taylor]: Taking taylor expansion of PI in n 3.874 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in k 3.874 * [taylor]: Taking taylor expansion of 1.0 in k 3.874 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in k 3.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.874 * [taylor]: Taking taylor expansion of k in k 3.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.874 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.874 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.874 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.874 * [taylor]: Taking taylor expansion of 0.25 in k 3.874 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.874 * [taylor]: Taking taylor expansion of 1.0 in k 3.874 * [taylor]: Taking taylor expansion of k in k 3.874 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.874 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.874 * [taylor]: Taking taylor expansion of 2.0 in k 3.874 * [taylor]: Taking taylor expansion of (* n PI) in k 3.874 * [taylor]: Taking taylor expansion of n in k 3.874 * [taylor]: Taking taylor expansion of PI in k 3.874 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))))) in k 3.874 * [taylor]: Taking taylor expansion of 1.0 in k 3.874 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k)))) in k 3.874 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.874 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.874 * [taylor]: Taking taylor expansion of k in k 3.874 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.25 (- 1.0 k))) in k 3.875 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 3.875 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 3.875 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 k)) in k 3.875 * [taylor]: Taking taylor expansion of 0.25 in k 3.875 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 3.875 * [taylor]: Taking taylor expansion of 1.0 in k 3.875 * [taylor]: Taking taylor expansion of k in k 3.875 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 3.875 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 3.875 * [taylor]: Taking taylor expansion of 2.0 in k 3.875 * [taylor]: Taking taylor expansion of (* n PI) in k 3.875 * [taylor]: Taking taylor expansion of n in k 3.875 * [taylor]: Taking taylor expansion of PI in k 3.875 * [taylor]: Taking taylor expansion of 0 in n 3.876 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25))) in n 3.876 * [taylor]: Taking taylor expansion of 1.0 in n 3.876 * [taylor]: Taking taylor expansion of (* NAN (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25)) in n 3.876 * [taylor]: Taking taylor expansion of NAN in n 3.876 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.25) in n 3.876 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 3.876 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 3.876 * [taylor]: Taking taylor expansion of 0.25 in n 3.876 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 3.876 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 3.876 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.876 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.876 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.876 * [taylor]: Taking taylor expansion of 1.0 in n 3.876 * [taylor]: Taking taylor expansion of (log PI) in n 3.876 * [taylor]: Taking taylor expansion of PI in n 3.876 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 3.876 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.876 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.876 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.876 * [taylor]: Taking taylor expansion of 1.0 in n 3.877 * [taylor]: Taking taylor expansion of (log n) in n 3.877 * [taylor]: Taking taylor expansion of n in n 3.877 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.877 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.877 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.877 * [taylor]: Taking taylor expansion of 1.0 in n 3.877 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.877 * [taylor]: Taking taylor expansion of 2.0 in n 3.880 * [taylor]: Taking taylor expansion of (- (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3))) (* 0.25 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 3.881 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3))) in n 3.881 * [taylor]: Taking taylor expansion of 1.0 in n 3.881 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 3)) in n 3.881 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 3.881 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.881 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.881 * [taylor]: Taking taylor expansion of 0.25 in n 3.881 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.881 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.881 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.881 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.881 * [taylor]: Taking taylor expansion of 1.0 in n 3.881 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.881 * [taylor]: Taking taylor expansion of 2.0 in n 3.881 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.881 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.881 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.881 * [taylor]: Taking taylor expansion of 1.0 in n 3.881 * [taylor]: Taking taylor expansion of (log n) in n 3.881 * [taylor]: Taking taylor expansion of n in n 3.881 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.881 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.881 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.881 * [taylor]: Taking taylor expansion of 1.0 in n 3.881 * [taylor]: Taking taylor expansion of (log PI) in n 3.881 * [taylor]: Taking taylor expansion of PI in n 3.882 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.882 * [taylor]: Taking taylor expansion of NAN in n 3.882 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 3.882 * [taylor]: Taking taylor expansion of 0.25 in n 3.882 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in n 3.882 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) NAN) in n 3.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.882 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.882 * [taylor]: Taking taylor expansion of 2.0 in n 3.882 * [taylor]: Taking taylor expansion of (* n PI) in n 3.882 * [taylor]: Taking taylor expansion of n in n 3.882 * [taylor]: Taking taylor expansion of PI in n 3.882 * [taylor]: Taking taylor expansion of NAN in n 3.882 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 3.882 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.883 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.883 * [taylor]: Taking taylor expansion of 0.25 in n 3.883 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.883 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.883 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.883 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.883 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.883 * [taylor]: Taking taylor expansion of 1.0 in n 3.883 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.883 * [taylor]: Taking taylor expansion of 2.0 in n 3.883 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.883 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.883 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.883 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.883 * [taylor]: Taking taylor expansion of 1.0 in n 3.883 * [taylor]: Taking taylor expansion of (log n) in n 3.883 * [taylor]: Taking taylor expansion of n in n 3.883 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.883 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.883 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.883 * [taylor]: Taking taylor expansion of 1.0 in n 3.883 * [taylor]: Taking taylor expansion of (log PI) in n 3.883 * [taylor]: Taking taylor expansion of PI in n 3.893 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) (* 0.25 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 3.893 * [taylor]: Taking taylor expansion of (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)))) in n 3.893 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5))) in n 3.894 * [taylor]: Taking taylor expansion of 1.0 in n 3.894 * [taylor]: Taking taylor expansion of (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) (pow NAN 5)) in n 3.894 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 3.894 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.894 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.894 * [taylor]: Taking taylor expansion of 0.25 in n 3.894 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.894 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.894 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.894 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.894 * [taylor]: Taking taylor expansion of 1.0 in n 3.894 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.894 * [taylor]: Taking taylor expansion of 2.0 in n 3.894 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.894 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.894 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.894 * [taylor]: Taking taylor expansion of 1.0 in n 3.894 * [taylor]: Taking taylor expansion of (log n) in n 3.894 * [taylor]: Taking taylor expansion of n in n 3.894 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.894 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.894 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.894 * [taylor]: Taking taylor expansion of 1.0 in n 3.894 * [taylor]: Taking taylor expansion of (log PI) in n 3.894 * [taylor]: Taking taylor expansion of PI in n 3.895 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 3.895 * [taylor]: Taking taylor expansion of NAN in n 3.895 * [taylor]: Taking taylor expansion of (* 0.03125 (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 3.895 * [taylor]: Taking taylor expansion of 0.03125 in n 3.895 * [taylor]: Taking taylor expansion of (* (* (pow (log (* 2.0 (* n PI))) 2) NAN) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in n 3.895 * [taylor]: Taking taylor expansion of (* (pow (log (* 2.0 (* n PI))) 2) NAN) in n 3.895 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 3.895 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.895 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.895 * [taylor]: Taking taylor expansion of 2.0 in n 3.895 * [taylor]: Taking taylor expansion of (* n PI) in n 3.895 * [taylor]: Taking taylor expansion of n in n 3.895 * [taylor]: Taking taylor expansion of PI in n 3.895 * [taylor]: Taking taylor expansion of NAN in n 3.895 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 3.895 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.895 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.895 * [taylor]: Taking taylor expansion of 0.25 in n 3.895 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.896 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.896 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.896 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.896 * [taylor]: Taking taylor expansion of 1.0 in n 3.896 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.896 * [taylor]: Taking taylor expansion of 2.0 in n 3.896 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.896 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.896 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.896 * [taylor]: Taking taylor expansion of 1.0 in n 3.896 * [taylor]: Taking taylor expansion of (log n) in n 3.896 * [taylor]: Taking taylor expansion of n in n 3.896 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.896 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.896 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.896 * [taylor]: Taking taylor expansion of 1.0 in n 3.896 * [taylor]: Taking taylor expansion of (log PI) in n 3.896 * [taylor]: Taking taylor expansion of PI in n 3.897 * [taylor]: Taking taylor expansion of (* 0.25 (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25))) in n 3.897 * [taylor]: Taking taylor expansion of 0.25 in n 3.897 * [taylor]: Taking taylor expansion of (* (* (log (* 2.0 (* n PI))) (pow NAN 3)) (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25)) in n 3.897 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (* n PI))) (pow NAN 3)) in n 3.897 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 3.897 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.897 * [taylor]: Taking taylor expansion of 2.0 in n 3.897 * [taylor]: Taking taylor expansion of (* n PI) in n 3.897 * [taylor]: Taking taylor expansion of n in n 3.897 * [taylor]: Taking taylor expansion of PI in n 3.897 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.897 * [taylor]: Taking taylor expansion of NAN in n 3.897 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.25) in n 3.897 * [taylor]: Taking taylor expansion of (exp (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 3.897 * [taylor]: Taking taylor expansion of (* 0.25 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 3.897 * [taylor]: Taking taylor expansion of 0.25 in n 3.897 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 3.897 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 3.897 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 3.897 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 3.897 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 3.897 * [taylor]: Taking taylor expansion of 1.0 in n 3.897 * [taylor]: Taking taylor expansion of (log 2.0) in n 3.897 * [taylor]: Taking taylor expansion of 2.0 in n 3.897 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 3.897 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 3.897 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 3.898 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 3.898 * [taylor]: Taking taylor expansion of 1.0 in n 3.898 * [taylor]: Taking taylor expansion of (log n) in n 3.898 * [taylor]: Taking taylor expansion of n in n 3.898 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 3.898 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 3.898 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 3.898 * [taylor]: Taking taylor expansion of 1.0 in n 3.898 * [taylor]: Taking taylor expansion of (log PI) in n 3.898 * [taylor]: Taking taylor expansion of PI in n 3.911 * [approximate]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in (k n) around 0 3.911 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in n 3.911 * [taylor]: Taking taylor expansion of 1.0 in n 3.911 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in n 3.911 * [taylor]: Taking taylor expansion of (sqrt k) in n 3.911 * [taylor]: Taking taylor expansion of k in n 3.911 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in n 3.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 3.912 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 3.912 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in n 3.912 * [taylor]: Taking taylor expansion of 0.25 in n 3.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.912 * [taylor]: Taking taylor expansion of 1.0 in n 3.912 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.912 * [taylor]: Taking taylor expansion of k in n 3.912 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.912 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.912 * [taylor]: Taking taylor expansion of 2.0 in n 3.912 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.912 * [taylor]: Taking taylor expansion of PI in n 3.912 * [taylor]: Taking taylor expansion of n in n 3.912 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 3.912 * [taylor]: Taking taylor expansion of 1.0 in k 3.912 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 3.912 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.912 * [taylor]: Taking taylor expansion of k in k 3.912 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.912 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.912 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.912 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.912 * [taylor]: Taking taylor expansion of 0.25 in k 3.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.912 * [taylor]: Taking taylor expansion of 1.0 in k 3.912 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.912 * [taylor]: Taking taylor expansion of k in k 3.912 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.912 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.912 * [taylor]: Taking taylor expansion of 2.0 in k 3.912 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.913 * [taylor]: Taking taylor expansion of PI in k 3.913 * [taylor]: Taking taylor expansion of n in k 3.913 * [taylor]: Taking taylor expansion of (* 1.0 (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))))) in k 3.913 * [taylor]: Taking taylor expansion of 1.0 in k 3.913 * [taylor]: Taking taylor expansion of (* (sqrt k) (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k))))) in k 3.913 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.913 * [taylor]: Taking taylor expansion of k in k 3.913 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.25 (- 1.0 (/ 1 k)))) in k 3.913 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 3.913 * [taylor]: Taking taylor expansion of (* (* 0.25 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 3.913 * [taylor]: Taking taylor expansion of (* 0.25 (- 1.0 (/ 1 k))) in k 3.913 * [taylor]: Taking taylor expansion of 0.25 in k 3.913 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 3.913 * [taylor]: Taking taylor expansion of 1.0 in k 3.913 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.913 * [taylor]: Taking taylor expansion of k in k 3.913 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 3.913 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 3.913 * [taylor]: Taking taylor expansion of 2.0 in k 3.913 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.913 * [taylor]: Taking taylor expansion of PI in k 3.913 * [taylor]: Taking taylor expansion of n in k 3.913 * [taylor]: Taking taylor expansion of 0 in n 3.914 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.914 * [taylor]: Taking taylor expansion of 1.0 in n 3.914 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.914 * [taylor]: Taking taylor expansion of NAN in n 3.914 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.914 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.914 * [taylor]: Taking taylor expansion of 0.25 in n 3.914 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.914 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.914 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.914 * [taylor]: Taking taylor expansion of 2.0 in n 3.914 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.914 * [taylor]: Taking taylor expansion of PI in n 3.914 * [taylor]: Taking taylor expansion of n in n 3.914 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.914 * [taylor]: Taking taylor expansion of 1.0 in n 3.914 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.914 * [taylor]: Taking taylor expansion of k in n 3.915 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 3) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.915 * [taylor]: Taking taylor expansion of 1.0 in n 3.915 * [taylor]: Taking taylor expansion of (* (pow NAN 3) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.915 * [taylor]: Taking taylor expansion of (pow NAN 3) in n 3.915 * [taylor]: Taking taylor expansion of NAN in n 3.915 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.915 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.915 * [taylor]: Taking taylor expansion of 0.25 in n 3.915 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.915 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.915 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.915 * [taylor]: Taking taylor expansion of 2.0 in n 3.916 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.916 * [taylor]: Taking taylor expansion of PI in n 3.916 * [taylor]: Taking taylor expansion of n in n 3.916 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.916 * [taylor]: Taking taylor expansion of 1.0 in n 3.916 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.916 * [taylor]: Taking taylor expansion of k in n 3.918 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow NAN 5) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))))) in n 3.918 * [taylor]: Taking taylor expansion of 1.0 in n 3.918 * [taylor]: Taking taylor expansion of (* (pow NAN 5) (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))))) in n 3.918 * [taylor]: Taking taylor expansion of (pow NAN 5) in n 3.918 * [taylor]: Taking taylor expansion of NAN in n 3.918 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))))) in n 3.918 * [taylor]: Taking taylor expansion of (* 0.25 (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k)))) in n 3.918 * [taylor]: Taking taylor expansion of 0.25 in n 3.918 * [taylor]: Taking taylor expansion of (* (log (* 2.0 (/ PI n))) (- 1.0 (/ 1 k))) in n 3.918 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 3.918 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.918 * [taylor]: Taking taylor expansion of 2.0 in n 3.918 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.918 * [taylor]: Taking taylor expansion of PI in n 3.918 * [taylor]: Taking taylor expansion of n in n 3.918 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 3.918 * [taylor]: Taking taylor expansion of 1.0 in n 3.918 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.918 * [taylor]: Taking taylor expansion of k in n 3.920 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 3.920 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 3.920 * [taylor]: Taking taylor expansion of 1.0 in n 3.920 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 3.920 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in n 3.921 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 3.921 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 3.921 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in n 3.921 * [taylor]: Taking taylor expansion of 0.25 in n 3.921 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.921 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.921 * [taylor]: Taking taylor expansion of k in n 3.921 * [taylor]: Taking taylor expansion of 1.0 in n 3.921 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.921 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.921 * [taylor]: Taking taylor expansion of -2.0 in n 3.921 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.921 * [taylor]: Taking taylor expansion of PI in n 3.921 * [taylor]: Taking taylor expansion of n in n 3.921 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 3.921 * [taylor]: Taking taylor expansion of (/ -1 k) in n 3.921 * [taylor]: Taking taylor expansion of -1 in n 3.921 * [taylor]: Taking taylor expansion of k in n 3.921 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.921 * [taylor]: Taking taylor expansion of 1.0 in k 3.921 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.921 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.921 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.921 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.921 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.922 * [taylor]: Taking taylor expansion of 0.25 in k 3.922 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.922 * [taylor]: Taking taylor expansion of k in k 3.922 * [taylor]: Taking taylor expansion of 1.0 in k 3.922 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.922 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.922 * [taylor]: Taking taylor expansion of -2.0 in k 3.922 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.922 * [taylor]: Taking taylor expansion of PI in k 3.922 * [taylor]: Taking taylor expansion of n in k 3.922 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.922 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.922 * [taylor]: Taking taylor expansion of -1 in k 3.922 * [taylor]: Taking taylor expansion of k in k 3.922 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 3.922 * [taylor]: Taking taylor expansion of 1.0 in k 3.922 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 3.922 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.25 (+ (/ 1 k) 1.0))) in k 3.922 * [taylor]: Taking taylor expansion of (exp (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 3.922 * [taylor]: Taking taylor expansion of (* (* 0.25 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 3.922 * [taylor]: Taking taylor expansion of (* 0.25 (+ (/ 1 k) 1.0)) in k 3.922 * [taylor]: Taking taylor expansion of 0.25 in k 3.922 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 3.922 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.922 * [taylor]: Taking taylor expansion of k in k 3.922 * [taylor]: Taking taylor expansion of 1.0 in k 3.922 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 3.922 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 3.922 * [taylor]: Taking taylor expansion of -2.0 in k 3.922 * [taylor]: Taking taylor expansion of (/ PI n) in k 3.922 * [taylor]: Taking taylor expansion of PI in k 3.922 * [taylor]: Taking taylor expansion of n in k 3.923 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.923 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.923 * [taylor]: Taking taylor expansion of -1 in k 3.923 * [taylor]: Taking taylor expansion of k in k 3.923 * [taylor]: Taking taylor expansion of (* 1.0 (/ (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN)) in n 3.923 * [taylor]: Taking taylor expansion of 1.0 in n 3.923 * [taylor]: Taking taylor expansion of (/ (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) NAN) in n 3.923 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.923 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.923 * [taylor]: Taking taylor expansion of 0.25 in n 3.923 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.923 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.923 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.923 * [taylor]: Taking taylor expansion of k in n 3.923 * [taylor]: Taking taylor expansion of 1.0 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 3.923 * [taylor]: Taking taylor expansion of -2.0 in n 3.923 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.923 * [taylor]: Taking taylor expansion of PI in n 3.923 * [taylor]: Taking taylor expansion of n in n 3.924 * [taylor]: Taking taylor expansion of NAN in n 3.924 * [taylor]: Taking taylor expansion of (neg (* 1.0 (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))))) in n 3.924 * [taylor]: Taking taylor expansion of (* 1.0 (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))))) in n 3.925 * [taylor]: Taking taylor expansion of 1.0 in n 3.925 * [taylor]: Taking taylor expansion of (* NAN (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))))) in n 3.925 * [taylor]: Taking taylor expansion of NAN in n 3.925 * [taylor]: Taking taylor expansion of (exp (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))))) in n 3.925 * [taylor]: Taking taylor expansion of (* 0.25 (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n))))) in n 3.925 * [taylor]: Taking taylor expansion of 0.25 in n 3.925 * [taylor]: Taking taylor expansion of (* (+ (/ 1 k) 1.0) (log (* -2.0 (/ PI n)))) in n 3.925 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 3.925 * [taylor]: Taking taylor expansion of (/ 1 k) in n 3.925 * [taylor]: Taking taylor expansion of k in n 3.925 * [taylor]: Taking taylor expansion of 1.0 in n 3.925 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 3.925 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.925 * [taylor]: Taking taylor expansion of -2.0 in n 3.925 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.925 * [taylor]: Taking taylor expansion of PI in n 3.925 * [taylor]: Taking taylor expansion of n in n 3.930 * [taylor]: Taking taylor expansion of 0 in n 3.933 * [taylor]: Taking taylor expansion of 0 in n 3.933 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 3.933 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 3.933 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.933 * [taylor]: Taking taylor expansion of 1.0 in k 3.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.933 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.933 * [taylor]: Taking taylor expansion of k in k 3.933 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 3.933 * [taylor]: Taking taylor expansion of 1.0 in k 3.933 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 3.933 * [taylor]: Taking taylor expansion of (/ 1 k) in k 3.933 * [taylor]: Taking taylor expansion of k in k 3.934 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 3.934 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.934 * [taylor]: Taking taylor expansion of 1.0 in k 3.934 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.934 * [taylor]: Taking taylor expansion of k in k 3.934 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 3.934 * [taylor]: Taking taylor expansion of 1.0 in k 3.935 * [taylor]: Taking taylor expansion of (sqrt k) in k 3.935 * [taylor]: Taking taylor expansion of k in k 3.936 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 3.936 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.936 * [taylor]: Taking taylor expansion of 1.0 in k 3.936 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.936 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.936 * [taylor]: Taking taylor expansion of -1 in k 3.936 * [taylor]: Taking taylor expansion of k in k 3.936 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 3.936 * [taylor]: Taking taylor expansion of 1.0 in k 3.936 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 3.936 * [taylor]: Taking taylor expansion of (/ -1 k) in k 3.936 * [taylor]: Taking taylor expansion of -1 in k 3.936 * [taylor]: Taking taylor expansion of k in k 3.940 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.941 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.941 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.941 * [taylor]: Taking taylor expansion of 2.0 in n 3.941 * [taylor]: Taking taylor expansion of (* n PI) in n 3.941 * [taylor]: Taking taylor expansion of n in n 3.941 * [taylor]: Taking taylor expansion of PI in n 3.941 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.941 * [taylor]: Taking taylor expansion of 2.0 in n 3.941 * [taylor]: Taking taylor expansion of (* n PI) in n 3.941 * [taylor]: Taking taylor expansion of n in n 3.941 * [taylor]: Taking taylor expansion of PI in n 3.942 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.942 * [taylor]: Taking taylor expansion of 2.0 in n 3.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.942 * [taylor]: Taking taylor expansion of PI in n 3.942 * [taylor]: Taking taylor expansion of n in n 3.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.942 * [taylor]: Taking taylor expansion of 2.0 in n 3.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.942 * [taylor]: Taking taylor expansion of PI in n 3.942 * [taylor]: Taking taylor expansion of n in n 3.943 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 3.943 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.943 * [taylor]: Taking taylor expansion of -2.0 in n 3.943 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.943 * [taylor]: Taking taylor expansion of PI in n 3.943 * [taylor]: Taking taylor expansion of n in n 3.943 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 3.943 * [taylor]: Taking taylor expansion of -2.0 in n 3.943 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.943 * [taylor]: Taking taylor expansion of PI in n 3.943 * [taylor]: Taking taylor expansion of n in n 3.944 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1) 3.944 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 3.944 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.944 * [taylor]: Taking taylor expansion of 2.0 in n 3.944 * [taylor]: Taking taylor expansion of (* n PI) in n 3.944 * [taylor]: Taking taylor expansion of n in n 3.944 * [taylor]: Taking taylor expansion of PI in n 3.944 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 3.944 * [taylor]: Taking taylor expansion of 2.0 in n 3.944 * [taylor]: Taking taylor expansion of (* n PI) in n 3.944 * [taylor]: Taking taylor expansion of n in n 3.944 * [taylor]: Taking taylor expansion of PI in n 3.945 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 3.945 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.945 * [taylor]: Taking taylor expansion of 2.0 in n 3.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.945 * [taylor]: Taking taylor expansion of PI in n 3.945 * [taylor]: Taking taylor expansion of n in n 3.945 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 3.945 * [taylor]: Taking taylor expansion of 2.0 in n 3.945 * [taylor]: Taking taylor expansion of (/ PI n) in n 3.945 * [taylor]: Taking taylor expansion of PI in n 3.945 * [taylor]: Taking taylor expansion of n in n 3.946 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 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 3.946 * [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 3.947 * * * [progress]: simplifying candidates 3.949 * [simplify]: Simplifying using # : (+ (- (log 1.0) (log (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log (* 2.0 PI)) (log n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (* (log (* (* 2.0 PI) n)) (/ (/ (- 1.0 k) 2.0) 2))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 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) 2))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (* (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 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) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (+ (* 0.03125 (* (* (pow k 2) (* NAN (pow (log n) 2))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25))) (+ (* 1.0 (* (* (pow k 2) (pow NAN 5)) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))) (+ (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) NAN)) (* 0.03125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25)))))))) (+ (* 0.25 (* (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3))) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))) (+ (* 0.25 (* (* k (* NAN (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25))) (+ (* 0.25 (* (* k (* (log (* 2.0 PI)) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))) (* 0.25 (* (* (pow k 2) (* (pow NAN 3) (log n))) (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25))))))) (+ (* 1.0 (/ (* (pow NAN 3) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 2))) (+ (* 1.0 (/ (* NAN (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) k)) (* 1.0 (/ (* (pow NAN 5) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 3))))) (+ (* 1.0 (/ (* NAN (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k)) (* 1.0 (/ (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))) (+ (* 1.0 (* (pow k 2) (pow NAN 5))) (+ (* 1.0 NAN) (* 1.0 (* k (pow NAN 3))))) (+ (* 1.0 (/ (pow NAN 5) (pow k 3))) (+ (* 1.0 (/ (pow NAN 3) (pow k 2))) (* 1.0 (/ NAN k)))) (+ (* 1.0 (/ NAN k)) (* 1.0 (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 3.958 * * [simplify]: iteration 0 : 773 enodes (cost 1305 ) 3.972 * * [simplify]: iteration 1 : 3510 enodes (cost 1184 ) 4.027 * * [simplify]: iteration 2 : 5001 enodes (cost 1174 ) 4.033 * [simplify]: Simplified to: (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (log (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (exp (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (* (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (cbrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (pow (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) 3) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (sqrt (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ (/ k 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (cbrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))) (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 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) 2)) (sqrt k)) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (/ 1.0 2.0) 2))) (* 1.0 (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (pow (/ 1.0 (sqrt k)) 3) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (neg 1.0) (neg (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (* (fabs (cbrt k)) 1)) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (pow (* 2.0 (* n PI)) 3) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (pow (* 2.0 (* n PI)) 3) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* 2.0 PI) (* PI n) (- (- (+ (+ (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25) (+ (* 0.03125 (* (pow k 2) (* NAN (pow (log n) 2)))) (* 1.0 (* (pow k 2) (pow NAN 5))))) (+ (* 1.0 (* (* k (pow NAN 3)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))) (* 0.0625 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) (* NAN (* (pow k 2) (* (log (* 2.0 PI)) (log n)))))))) (+ (* 1.0 (* (pow (* (pow 2.0 1.0) (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (pow PI 1.0))) 0.25) NAN)) (* 0.03125 (* (* (pow k 2) (* (pow (log (* 2.0 PI)) 2) NAN)) (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25))))) (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25) (+ (* 0.25 (* (pow k 2) (* (log (* 2.0 PI)) (pow NAN 3)))) (* 0.25 (* k (* NAN (log n))))))) (* (pow (* (pow (exp (* 1.0 (+ (log 1) (log n)))) 1.0) (* (pow PI 1.0) (pow 2.0 1.0))) 0.25) (+ (* 0.25 (* k (* (log (* 2.0 PI)) NAN))) (* 0.25 (* (pow k 2) (* (pow NAN 3) (log n))))))) (* 1.0 (+ (/ (* (pow NAN 3) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 2)) (+ (/ (* NAN (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) k) (/ (* (pow NAN 5) (exp (* 0.25 (* (- (log (* 2.0 PI)) (log (/ 1 n))) (- 1.0 k))))) (pow k 3))))) (* 1.0 (+ (/ (* NAN (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) k) (/ (exp (* 0.25 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) NAN))) (* 1.0 (+ (* (pow k 2) (pow NAN 5)) (+ NAN (* k (pow NAN 3))))) (* 1.0 (+ (/ (pow NAN 5) (pow k 3)) (+ (/ (pow NAN 3) (pow k 2)) (/ NAN k)))) (* 1.0 (+ (/ NAN k) (/ 1 NAN))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (* 2.0 (* n PI)) 4.034 * * * [progress]: adding candidates to table 4.901 * [progress]: [Phase 3 of 3] Extracting. 4.901 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 4.903 * * * [regime-changes]: Trying 4 branch expressions: ((* (* 2.0 PI) n) (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) n k) 4.903 * * * * [regimes]: Trying to branch on (* (* 2.0 PI) n) from (# # # # # # # # #) 4.975 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# # # # # # # # #) 5.057 * * * * [regimes]: Trying to branch on (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) from (# #) 5.105 * * * * [regimes]: Trying to branch on n from (# # # # # # # # #) 5.176 * * * * [regimes]: Trying to branch on k from (# # # # # # # # #) 5.248 * * * [regime]: Found split indices: #